JP2021076771A - Imaging optical system and image projection device having the same - Google Patents

Abstract

PROBLEM TO BE SOLVED: To provide an imaging optical system capable of miniaturizing a lens diameter while having a wide angle and having good optical performance in a wide projection distance range. An imaging optical system is composed of a first optical system having a positive refractive force and a second optical system having a positive refractive force in this order from the expansion conjugate side to the reduction conjugate side, and an expansion conjugate point on the expansion conjugate side. Is an imaging optical system in which an image is formed at an intermediate imaging position between the first optical system and the second optical system, and the image formed at the intermediate imaging position is reimaged at the reduced conjugate point on the reduced conjugate side. Therefore, the first optical system has a first lens group that moves in the optical axis direction during focusing and has a meniscus lens having a negative refractive force on the most magnifying conjugate side, and the second optical system is fixed during focusing. , The number of abbets of the lenses arranged on the most reduced conjugate side of the first lens group, the focal distance of the first optical system, and the focal distance of the first lens group are appropriately set. [Selection diagram] Fig. 1

Description

The present invention relates to an imaging optical system and is suitable for an image projection device such as a projector that magnifies and projects an image displayed on a light modulation element.

Conventionally, in an image projection device, a retrofocus type is often used as a projection optical system for ensuring back focus and good telecentricity. Further, as the definition of the light modulation element is advanced, higher performance corresponding to a resolution exceeding full HD is required, and a wide angle capable of projecting a large image at a short distance is strongly desired.

However, if the retrofocus type is used to widen the angle, the lens on the projection surface side will have an extremely large aperture. In recent years, in order to suppress an increase in the diameter of the lens on the projection surface side, the display image of the optical modulation element is once imaged as an intermediate image by a refractive optics system, and the intermediate image is formed by another refractive optics system on the projection surface. A lens (hereinafter referred to as a reimaging type lens) that magnifies and projects the image has been proposed. Patent Documents 1 to 3 propose a configuration of a focus group in a reimaging type lens.

Japanese Unexamined Patent Publication No. 2015-15276 JP-A-2018-97047 JP-A-2018-138945

As the angle becomes wider, curvature of field occurs significantly when the projection distance is changed, so it is necessary to correct curvature of field during focusing for focusing. At that time, care must be taken not to fluctuate the distortion.

However, in the configuration of Patent Document 1, since most of the optical system is used as the focus group, the focus mechanism becomes large and complicated, and the cost increases.

In the configuration of Patent Document 2, the focus group is miniaturized, but it is difficult to say that the aberration correction is sufficient, and the aberration fluctuation due to focusing is conspicuous.

In the configuration of Patent Document 3, the aberration fluctuation associated with focusing is improved, but the projection distance range that can be focused is narrow and the range of use is limited.

An object of the present invention is to provide an imaging optical system having a wide angle, a lens diameter that can be miniaturized, and good optical performance over a wide projection distance range.

The imaging optical system as one aspect of the present invention is composed of a first optical system having a positive refractive power and a second optical system having a positive refractive power in this order from the expansion conjugate side to the reduction conjugate side. Imaging optics in which the magnifying conjugate point is imaged at the intermediate imaging position between the first and second optical systems, and the image formed at the intermediate imaging position is reimaged at the reduced conjugate point on the reduced conjugate side. As a system, the first optical system has a first lens group that moves in the optical axis direction during focusing and has a meniscus lens having a negative refractive power on the most magnifying conjugate side, and the second optical system has a second optical system during focusing. When the number of abbets of the lenses that are fixed and arranged on the most reduced conjugate side of the first lens group is ν, the focal length of the first optical system is f _s , and the focal length of the first lens group is f ₁ .
0 <ν ≦ 40

It is characterized in that it satisfies the conditional expression.

Further, the imaging optical system as another aspect of the present invention is composed of a first optical system having a positive refractive power and a second optical system having a positive refractive power in order from the expansion conjugate side to the reduction conjugate side, and is enlarged. The magnifying conjugate point on the conjugate side is imaged at the intermediate imaging position between the first optical system and the second optical system, and the image formed at the intermediate imaging position is reimaged at the reduced conjugate point on the reduced conjugate side. An imaging optical system, the first optical system is provided with a meniscus lens having a negative refractive power on the most magnifying conjugate side while moving in the optical axis direction during focusing, which are arranged in order from the expansion conjugate side to the reduction conjugate side. When the first lens group has a second lens group that moves in the optical axis direction during focusing, the second optical system is fixed during focusing, and the Abbe number of the second lens group is ν ₂ .
0 <ν ₂ ≤ 40
It is characterized in that it satisfies the conditional expression.

According to the present invention, it is possible to provide an imaging optical system having a wide angle, a small lens diameter, and good optical performance over a wide projection distance range.

It is an optical path diagram at the wide-angle end of the optical system which concerns on 1st Embodiment. It is an aberration diagram of the optical system which concerns on 1st Embodiment. It is an optical path diagram at the wide-angle end of the optical system which concerns on 2nd Embodiment. It is an aberration diagram of the optical system which concerns on 2nd Embodiment. It is an optical path diagram at the wide-angle end of the optical system which concerns on 3rd Embodiment. It is an aberration diagram of the optical system which concerns on 3rd Embodiment. It is an optical path diagram at the wide-angle end of the optical system which concerns on 4th Embodiment. It is an aberration diagram of the optical system which concerns on 4th Embodiment. It is an optical path diagram at the wide-angle end of the optical system which concerns on 5th Embodiment. It is an aberration diagram of the optical system which concerns on 5th Embodiment. It is an optical path diagram at the wide-angle end of the optical system which concerns on 6th Embodiment. It is an aberration diagram of the optical system which concerns on 6th Embodiment. It is an optical path diagram at the wide-angle end of the optical system which concerns on 7th Embodiment. It is an aberration diagram of the optical system which concerns on 7th Embodiment. It is an optical path diagram at the wide-angle end of the optical system which concerns on 8th Embodiment. It is an aberration diagram of the optical system which concerns on 8th Embodiment. It is an optical path diagram at the wide-angle end of the optical system which concerns on 9th Embodiment. It is an aberration diagram of the optical system which concerns on 9th Embodiment. It is an optical path diagram at the wide-angle end of the optical system which concerns on tenth embodiment. It is an aberration diagram of the optical system which concerns on tenth embodiment. It is an optical path diagram at the wide-angle end of the optical system which concerns on eleventh embodiment. It is an aberration diagram of the optical system which concerns on eleventh embodiment. It is an optical path diagram at the wide-angle end of the optical system which concerns on 12th Embodiment. It is an aberration diagram of the optical system which concerns on 12th Embodiment. It is the schematic of the image projection apparatus of this invention. It is a schematic diagram of the main part of the image pickup apparatus of this invention.

Hereinafter, embodiments of the present invention will be described in detail with reference to the drawings. In each figure, the same member is given the same reference number, and duplicate description is omitted. In addition, each figure may be drawn at a scale different from the actual one so that the present invention can be easily understood.
[First Embodiment]
FIG. 1 is an optical path diagram of the optical system (imaging optical system) 100 according to the present embodiment. The optical system 100 is a zoom lens having a scaling function, and FIG. 1 shows an optical path diagram at a wide-angle end at a projection distance of 655 mm.

In FIG. 1, the left side is the expansion conjugate side and the right side is the reduction conjugate side. In the optical system 100, a first optical system having a positive refractive power and a second optical system having a positive refractive power are arranged in this order from the expansion conjugate side to the reduction conjugate side. Further, the magnifying conjugate point on the magnifying conjugate side is imaged at the intermediate imaging position between the first optical system and the second optical system, and the image formed at the intermediate imaging position is re-imaged at the reducing conjugate point on the reducing conjugate side. It is configured to form an image.

The first optical system 101 is composed of lens groups B1, B2, and B3, which are arranged in order from the expansion conjugate side to the reduction conjugate side and have negative, positive, and positive powers, respectively. The second optical system 102 is composed of lens groups B4, B5, B6, B7, and B8, which are arranged in order from the expansion conjugate side to the reduction conjugate side, and whose powers are negative, positive, negative, positive, and positive, respectively. ST is an aperture stop.

The second optical system 102 forms an intermediate image 301 which is a conjugate image of the light modulation element (image display element) 300, and the first optical system 101 projects the intermediate image 301 on a screen surface (projected surface) (not shown). .. The color synthesis optical system 200 in which a liquid crystal panel, a micromirror device, or the like is used as the light modulation element 300 is composed of a synthesis prism, a PBS (polarization beam splitter), or the like, and is located between the optical system 100 and the light modulation element 300. It is arranged. The color synthesis optical system 200 guides the light modulated by the light modulation element 300 to the optical system 100.

In the present embodiment, the screen surface is the expansion side conjugate surface, and the light modulation element 300 is the reduction side conjugate surface.

The first optical system 101 is responsible for widening the angle, and the second optical system 102 is responsible for ensuring back focus and good telecentricity.

Further, the residual aberration of the second optical system 102 is corrected by the first optical system 101. With such a configuration, good optical performance can be realized while having a wide angle.

Further, the first optical system 101 is a retrofocus type and it is generally difficult to correct the distortion. However, by arranging the lens group B4 having a negative refractive power on the most magnifying conjugate side of the second optical system 102, Distortion is corrected.

Further, since the back focus of the first optical system 101, which is responsible for widening the angle, can be shortened as compared with a normal zoom lens having no intermediate image, the diameter of the lens on the most magnifying conjugate side can be reduced.

In the present embodiment, focusing when the projection distance is changed is performed by changing the distance between some lens groups (moving lens groups) constituting the first optical system 101. Specifically, this is performed by moving the lens group B2 in the optical axis direction of the first optical system 101. The lens groups B1 and B3 are fixed at the time of focusing. Further, the second optical system 102 is fixed at the time of focusing. The projection distance is the distance between the enlarged conjugated surface and the lens surface on the enlarged conjugated side of the lens L1 on the most enlarged conjugated side of the optical system 100.

Further, in the present embodiment, the scaling is performed by changing the distance between the lens groups constituting the second optical system 102. Specifically, the lens groups B5, B6, and B7 move in different trajectories in the optical axis direction of the second optical system 102. The aperture stop ST is a part of the lens group B8 and does not move during zooming. That is, the optical system 100 is a zoom lens in which the F number does not change due to the magnification change.

In the present embodiment, by fixing the first optical system 101 at the time of scaling, the optical action is the scaling of the intermediate image 301, and the configuration of the first optical system 101 can be simplified. Therefore, since the back focus of the first optical system 101 can be shortened, the entire optical system 100 can be miniaturized. Further, the lens group that moves at the time of magnification change is integrated only in the second optical system 102, and the zoom cam configuration can be simplified.

In the present embodiment, by fixing the second optical system 102 during focusing, the position of the intermediate image 301 hardly changes during focusing. Therefore, the position of the lens group B2 in the optical axis direction after focusing at a desired projection distance can be configured to be the same regardless of the magnification change position of the second optical system 102. Therefore, the configuration of the second optical system 102 can be simplified, and the movement locus of the lens group B2 can be made the same regardless of the magnification change position, so that the focus cam configuration can also be simplified.

In order for the wide-angle optical system 100 to have good optical performance over a wide projection distance as in the present embodiment, it is necessary to satisfactorily correct the curvature of field that occurs when the projection distance changes during focusing. In the present embodiment, the curvature of field is satisfactorily corrected during focusing by arranging the negative refractive power meniscus lens L2 on the most magnified conjugate side of the lens group B2 that moves during focusing. It is possible. In addition, arranging the meniscus lens L2 is also effective in suppressing fluctuations in distortion.

On the other hand, since the height of the off-axis light rays is large, the chromatic aberration of magnification fluctuates particularly with the movement of the meniscus lens L2. In the present embodiment, the fluctuation of the chromatic aberration of magnification is suppressed by arranging the highly dispersed lens L9 on the most reduced conjugated side of the lens group B2. In the present embodiment, when the Abbe number of the lens L9 is ν, the following conditional expression (1) is satisfied.

0 <ν ≦ 40 (1)
When the Abbe number ν is less than the lower limit of the conditional equation (1), the moving direction of the lens L9 for correcting the chromatic aberration of magnification is opposite to the moving direction of the meniscus lens L1, so that the lens L9 is separated from the lens group B2. This causes an increase in the size of the optical system 100. Further, when the Abbe number ν exceeds the upper limit value of the conditional expression (1), the dispersion of the lens L9 becomes weak, and the effect of correcting the chromatic aberration of magnification becomes insufficient.

Preferably, the numerical range of the conditional expression (1) may be the range of the following conditional expression (1a).

0 <ν ≦ 30 (1a)
More preferably, the numerical range of the conditional expression (1) may be the range of the following conditional expression (1b).

0 <ν ≦ 25 (1b)
The lens L9 may be a single lens or a junction lens. In the present embodiment, the lens L9 is a single lens, the Abbe number ν is 22.76, and the conditional expression (1) is satisfied. If the lens L9 is a cemented of n lens, the Abbe number ν is the focal length of the lens L9 f, the focal length of the i-th single lens constituting the lens L9 f _i, i-th single lens When the Abbe number of is ν _i , it is defined by the following equation (2).

Further, in the present embodiment, when the focal length of the first optical system 101 is f _s and the focal length of the lens group B2 is f ₁ , the following conditional expression (3) is satisfied.

If the upper limit of the conditional expression (3) is exceeded, the power of the lens group B2 becomes too large with respect to the power of the first optical system 101, and various aberrations worsen.

In the present embodiment, the focal length of the first optical system 101 is 7.03 mm, and the focal length of the lens group B2 is 21.44 mm, which satisfies the conditional expression (3).

Preferably, the numerical range of the conditional expression (3) may be the range of the following conditional expression (3a).

More preferably, the numerical range of the conditional expression (3) may be the range of the following conditional expression (3b).

In order to enhance the correction effect of chromatic aberration of magnification, it is preferable to increase the height of off-axis light rays to the lens L9 arranged on the most reduced conjugate side of the lens group B2. Further, in order to enhance the correction effect of curvature of field, it is preferable to increase the height of the off-axis light beam to the meniscus lens L2 arranged on the most magnified conjugated side of the lens group B2. In the present embodiment, the pupil is arranged between the meniscus lens L2 and the lens L9 so that the main ray of the off-axis ray intersects the optical axis between the meniscus lens L2 and the lens L9. With such a configuration, the height of off-axis light rays can be increased with respect to the lens L9, and the effect of correcting chromatic aberration of magnification can be enhanced.

When the power of the lens L9 is negative, the off-axis light rays are further refracted to the outside, which leads to an increase in the size of the optical system on the reduction conjugate side. Therefore, the power of the lens L9 is preferably positive.

In order to further suppress fluctuations in chromatic aberration, it is preferable that the lens group B2 has a bonded lens. It is more preferable that the lens group B2 has a bonded lens composed of three single lenses having a high chromatic aberration correction effect. In the present embodiment, the lens group B2 has a bonded lens composed of lenses L6, L7, and L8. It is particularly preferable that the junction lens is composed of a biconvex lens, a biconcave lens, and a biconvex lens arranged in order from the magnifying conjugated side to the reducing conjugated side.

Further, in order to enhance the effect of chromatic aberration correction, when the Abbe numbers of the three single lenses constituting the junction lens are set to ν ₁₁ , ν ₁₂ , and ν _{13 in} order from the enlarged conjugated side, the following conditional expression (4) ) To (6) are preferably satisfied.

ν ₁₂ <ν ₁₁ (4)
ν ₁₂ <ν ₁₃ (5)
ν ₁₁ <ν ₁₃ (6)
In the present embodiment, the Abbe numbers of the lenses L6, L7, and L8 are 40.78, 23.78, and 68.62, which satisfy the conditional expressions (4) to (6).

Lens Group B2, when most the focal length f _m of the reduction conjugate side to the lens disposed _L9, the focal length of the subgroup without lens L9 and f _{m ',} that satisfies the following conditional expression (7) Is preferable.

If it is out of the range of the conditional expression (7), the power of the lens L9 becomes too weak than the absolute value of the power of the subgroup, and the chromatic aberration of magnification becomes insufficiently corrected.

In the present embodiment, the focal length of the lens L9 is 43.37 mm, the focal length of the subgroup is −85.36 mm, and the conditional expression (7) is satisfied.

FIG. 2 is an aberration diagram of the optical system 100 at the wide-angle end and the telephoto end at projection distances of 459 mm, 655 mm, and 1965 mm in the present embodiment. In the aberration diagram of FIG. 2, the enlarged conjugated side is the object side and the reduced conjugated side is the image side. The horizontal axis range is ± 0.2 mm in the spherical aberration diagram and the astigmatism diagram, ± 0.5% in the distortion diagram, and ± 0.01 mm in the chromatic aberration diagram.

In the spherical aberration diagram, the amount of spherical aberration with respect to the d-line, C-line, and F-line is shown. In the astigmatism diagram, M indicates the amount of astigmatism on the meridional image plane on the d line, and S indicates the amount of astigmatism on the sagittal image plane with respect to the d line. In the distortion diagram, the amount of distortion with respect to the d line is shown. In the chromatic aberration diagram, the amount of chromatic aberration of magnification with respect to the C line and the F line is shown.

As shown in FIG. 2, both aberrations are satisfactorily corrected at both the wide-angle end and the telephoto end and at each projection distance, and aberration fluctuations due to focusing and scaling are well suppressed.

As described above, the optical system 100 is composed of a first optical system 101 arranged on the expansion conjugate side and a second optical system 102 arranged on the reduction conjugate side with the intermediate image 301 sandwiched between them, and is focused and modified. There is a re-imaging type zoom lens with a magnification function. Focusing is performed by moving the lens group B2 of the plurality of lens groups constituting the first optical system 101 in the optical axis direction. The scaling is performed by moving the lens groups B5, B6, and B7 in the optical axis direction among the plurality of lens groups constituting the second optical system 102. The lens group B2 that moves during focusing has a meniscus lens L2 having a negative refractive power on the most magnifying conjugate side and a highly dispersed lens L9 on the most reducing conjugate side.

With such a configuration, it is possible to provide an optical system 100 having a wide angle, a small lens diameter, and good optical performance in a wide projection distance range.

In the present embodiment, the first optical system 101 is composed of three lens groups, but the present invention is not limited to this. The first optical system 101 may be composed of a different number of lens groups. Further, the number of groups and the configuration of each group of the second optical system 102 can be changed as appropriate, and the second optical system 102 does not have to have a scaling function.

Further, in the present embodiment, the optical system 100 has been described as an optical system used in the image projection device. However, by changing the color synthesis optical system 200 and replacing the light modulation element 300 with a CCD sensor, a CMOS sensor, or the like, imaging is performed. It can also be used as an optical system.

In addition, the back focus value and the like can be changed according to each intended use.

Further, in the present embodiment, at least one variable magnification lens group constituting the second optical system 102 is moved in the optical axis direction during zooming, but the present invention is not limited to this. The first optical system 101, or at least one group of variable magnification lenses constituting the first and second optical systems 101, 102 may be moved in the optical axis direction.
[Second Embodiment]
FIG. 3 is an optical path diagram of the optical system 100 according to the present embodiment. The optical system 100 is a zoom lens having a scaling function, and FIG. 3 shows an optical path diagram at a wide-angle end at a projection distance of 775 mm.

The positive and negative power arrangements of each lens group and the number of lens groups constituting the first optical system 101 and the second optical system 102 are the same as those in the first embodiment, but constitute individual lens groups. The number of single lenses is partially different.

In the present embodiment, the number of lens groups that move during focusing can be increased by one as compared with the first embodiment, and the variation in curvature of field can be corrected better.

In addition, the magnification is increased by increasing the number of moving lens groups by one, and the aberration fluctuation correction at the time of magnification is improved.

In the present embodiment, focusing is performed by moving the lens groups B2 and B3 of the first optical system 101 in different trajectories in the optical axis direction. The lens group B1 is fixed at the time of focusing.

In the first optical system 101, the lens group B2 among the lens groups that move during focusing has a meniscus lens L2 having a negative refractive power on the most magnifying conjugate side.

In the present embodiment, the lens L8 arranged on the most reduced conjugate side of the lens group B2 is a single lens, and the Abbe number ν is 22.76, which satisfies the conditional expression (1). Therefore, the chromatic aberration of magnification can be satisfactorily corrected.

By arranging the pupil between the meniscus lens L2 and the lens L8, the height of the off-axis light beam with respect to the lens L8 is increased, and the power of the lens L8 is positive in order to suppress the enlargement of the optical system on the reduction conjugate side. The point is the same as that of the first embodiment.

In the present embodiment, by moving the lens groups B2 and B3 during focusing, the fluctuation of the curvature of field can be corrected more satisfactorily.

The wider the wide-angle end of the optical system 100 is, the greater the curvature of field occurs when the projection distance changes. Therefore, especially when the half angle of view exceeds 60 °, as in the present embodiment. It is preferable to have two lens groups that move during focusing.

Further, in order to suppress an increase in the size of the optical system on the reduction conjugate side of the lens group B3, it is preferable that the power of the lens group B3 is positive.

Further, when the focal length _{f m} of lens L8, the focal length of the subgroup without lens L8 from the lens unit B2 _{to f m} ', the focal length of the lens unit B3 and _{f 2,} the following conditional expression (8), It is preferable to satisfy (9).

When it is out of the range of the conditional expression (8), the power of the lens group B3 becomes too weak with respect to the absolute value of the power of the subgroup, and the effect of correcting the curvature of field by increasing the number of lens groups that move during focusing is sufficiently obtained. I can't do it.

The lower limit of the conditional expression (9) is determined by the fact that the powers of the lens L8 and the lens group B3 are both positive. If the upper limit of the conditional expression (9) is exceeded, the power of the lens group B3 becomes too large with respect to the power of the lens L8, and the chromatic aberration of magnification worsens.

Further, in the present embodiment, the scaling is performed by moving the lens groups B4, B5, B6, and B7 constituting the second optical system 102 in different trajectories in the optical axis direction of the second optical system 102. The aperture stop ST is a part of the lens group B8 and does not move during zooming. That is, the optical system 100 is a zoom lens in which the F number does not change due to the magnification change.

Further, in the present embodiment, the focal length of the first optical system 101 is 6.94 mm, and the focal length of the lens group B2 is 21.68 mm, which satisfies the conditional expression (3).

Further, in the present embodiment, the focal length of the lens L8 is 40.39 mm, the focal length of the partial group excluding the lens L8 from the lens group B2 is −110.84 mm, and the focal length of the lens group B3 is 40.39 mm. The equations (7) to (9) are satisfied.

Further, in the present embodiment, the lens group B2 has a junction lens including a biconvex lens L5, a biconcave lens L6, and a biconvex lens L7. The Abbe numbers of the biconvex lens L5, the biconcave lens L6, and the biconvex lens L7 are 46.62, 23.78, and 68.62, which satisfy the conditional expressions (4) to (6).

FIG. 4 is an aberration diagram of the optical system 100 at the wide-angle end and the telephoto end at projection distances of 542 mm, 775 mm, and 2325 mm in the present embodiment. Both aberrations are well corrected at both the wide-angle end and the telephoto end at each projection distance, and aberration fluctuations due to focusing and scaling are well suppressed.

As described above, the optical system 100 is composed of a first optical system 101 arranged on the expansion conjugate side and a second optical system 102 arranged on the reduction conjugate side with the intermediate image 301 sandwiched between them, and is focused and modified. There is a re-imaging type zoom lens with a magnification function. Focusing is performed by moving the lens groups B2 and B3 of the plurality of lens groups constituting the first optical system 101 in the optical axis direction. The scaling is performed by moving the lens groups B4, B5, B6, and B7 in the optical axis direction among the plurality of lens groups constituting the second optical system 102. Among the lens groups that move during focusing, the lens group B2 has a meniscus lens L2 having a negative refractive power on the most magnifying conjugate side and a highly dispersed lens L8 on the most reducing conjugate side.

With such a configuration, it is possible to provide an optical system 100 having a wide angle, a small lens diameter, and good optical performance in a wide projection distance range.
[Third Embodiment]
FIG. 5 is an optical path diagram of the optical system 100 according to the present embodiment. The optical system 100 is a zoom lens having a scaling function, and FIG. 5 shows an optical path diagram at a wide-angle end at a projection distance of 968 mm.

The optical system 100 has a first optical system 101 having a positive refractive power that couples the enlarged side conjugate surface and the intermediate image, and the intermediate image and the reduced side conjugate surface, which are arranged in order from the expansion conjugate side to the reduction conjugate side. It consists of a second optical system 102 having a positive refractive power to be conjugated.

The first optical system 101 is composed of lens groups B1, B2, and B3, which are arranged in order from the expansion conjugate side to the reduction conjugate side and have negative, positive, and positive powers, respectively. The second optical system 102 is composed of lens groups B4, B5, B6, B7, and B8, which are arranged in order from the expansion conjugate side to the reduction conjugate side, and whose powers are negative, positive, negative, positive, and positive, respectively. ST is an aperture stop.

In the present embodiment, focusing is performed by moving the lens groups B2 and B3 of the first optical system 101 in different trajectories in the optical axis direction. The lens group B1 is fixed at the time of focusing.

In the first optical system 101, the lens group B2 among the lens groups that move during focusing has a meniscus lens L2 having a negative refractive power on the most magnifying conjugate side.

In the present embodiment, the lens L9 arranged on the most reduced conjugate side of the lens group B2 is a single lens, and the Abbe number ν is 22.76, which satisfies the conditional expression (1). Therefore, the chromatic aberration of magnification can be satisfactorily corrected.

By arranging the pupil between the meniscus lens L2 and the lens L9, the height of the off-axis light beam with respect to the lens L9 is increased, and the power of the lens L9 is positive in order to suppress the enlargement of the optical system on the reduction conjugate side. The point is the same as in the first and second embodiments.

Further, in the present embodiment, the scaling is performed by moving the lens groups B4, B5, B6, and B7 constituting the second optical system 102 in different trajectories in the optical axis direction of the second optical system 102. The aperture stop ST is a part of the lens group B8 and does not move during zooming. That is, the optical system 100 is a zoom lens in which the F number does not change due to the magnification change.

Further, in the present embodiment, the focal length of the first optical system 101 is 7.76 mm, and the focal length of the lens group B2 is 20.91 mm, which satisfies the conditional expression (3).

Further, in the present embodiment, the focal length of the lens L9 is 54.84 mm, the focal length of the partial group excluding the lens L9 from the lens group B2 is -1580.63 mm, and the focal length of the lens group B3 is 38.86 mm. The equations (7) to (9) are satisfied.

Further, in the present embodiment, the lens group B2 has a junction lens including a biconvex lens L5, a biconcave lens L6, and a biconvex lens L7. The Abbe numbers of the biconvex lens L5, the biconcave lens L6, and the biconvex lens L7 are 40,081,23.78,68.62, which satisfy the conditional expressions (4) to (6).

FIG. 6 is an aberration diagram of the optical system 100 at the wide-angle end and the telephoto end at projection distances of 484 mm, 968 mm, and 2904 mm in the present embodiment. Both aberrations are well corrected at both the wide-angle end and the telephoto end at each projection distance, and aberration fluctuations due to focusing and scaling are well suppressed.

As described above, the optical system 100 is composed of a first optical system 101 arranged on the expansion conjugate side and a second optical system 102 arranged on the reduction conjugate side with the intermediate image 301 sandwiched between them, and is focused and modified. There is a re-imaging type zoom lens with a magnification function. Focusing is performed by moving the lens groups B2 and B3 of the plurality of lens groups constituting the first optical system 101 in the optical axis direction. The scaling is performed by moving the lens groups B4, B5, B6, and B7 in the optical axis direction among the plurality of lens groups constituting the second optical system 102. Among the lens groups that move during focusing, the lens group B2 has a meniscus lens L2 having a negative refractive power on the most magnifying conjugate side and a highly dispersed lens L9 on the most reducing conjugate side.

With such a configuration, it is possible to provide an optical system 100 having a wide angle, a small lens diameter, and good optical performance in a wide projection distance range.
[Fourth Embodiment]
FIG. 7 is an optical path diagram of the optical system 100 according to the present embodiment. The optical system 100 is a zoom lens having a scaling function, and FIG. 7 shows an optical path diagram at a wide-angle end at a projection distance of 1163 mm.

The optical system 100 has a first optical system 101 having a positive refractive power that couples the enlarged side conjugate surface and the intermediate image, and the intermediate image and the reduced side conjugate surface, which are arranged in order from the expansion conjugate side to the reduction conjugate side. It consists of a second optical system 102 having a positive refractive power to be conjugated.

The first optical system 101 is composed of lens groups B1, B2, and B3, which are arranged in order from the expansion conjugate side to the reduction conjugate side and have negative, positive, and positive powers, respectively. The second optical system 102 is arranged from the expansion conjugate side to the reduction conjugate side in order from the lens groups B4, B5, B6, B7, B8, B9 having negative, positive, negative, positive, negative, and positive powers, respectively. It is composed. ST is an aperture stop.

In the present embodiment, focusing is performed by moving the lens group B2 in the optical axis direction of the first optical system 101. The lens groups B1 and B3 are fixed at the time of focusing.

The lens group B2 has a meniscus lens L2 having a negative refractive power on the most magnifying conjugate side.

In the present embodiment, the lens L8 arranged on the most reduced conjugate side of the lens group B2 is a single lens, and the Abbe number ν is 22.76, which satisfies the conditional expression (1). Therefore, the chromatic aberration of magnification can be satisfactorily corrected.

By arranging the pupil between the meniscus lens L2 and the lens L8, the height of the off-axis light beam with respect to the lens L8 is increased, and the power of the lens L8 is positive in order to suppress the enlargement of the optical system on the reduction conjugate side. The point is the same as in the first to third embodiments.

Further, in the present embodiment, the scaling is performed by moving the lens groups B4, B5, B6, B7, and B8 constituting the second optical system 102 in different trajectories in the optical axis direction of the second optical system 102. .. The aperture stop ST is a part of the lens group B9 and does not move during zooming. That is, the optical system 100 is a zoom lens in which the F number does not change due to the magnification change.

Further, in the present embodiment, the focal length of the first optical system 101 is 9.27 mm, and the focal length of the lens group B2 is 25.94 mm, which satisfies the conditional expression (3).

Further, in the present embodiment, the focal length of the lens L8 is 71.63 mm, and the focal length of the subgroup excluding the lens L8 from the lens group B2 is 92.41 mm, which satisfies the conditional expression (7).

Further, in the present embodiment, the lens group B2 has a junction lens including a biconvex lens L5, a biconcave lens L6, and a biconvex lens L7. The Abbe numbers of the biconvex lens L5, the biconcave lens L6, and the biconvex lens L7 are 37.13, 23.78, 68.62, which satisfy the conditional expressions (4) to (6).

FIG. 8 is an aberration diagram of the optical system 100 at the wide-angle end and the telephoto end at projection distances of 697 mm, 1163 mm, and 3489 mm in the present embodiment. Both aberrations are well corrected at both the wide-angle end and the telephoto end at each projection distance, and aberration fluctuations due to focusing and scaling are well suppressed.

As described above, the optical system 100 is composed of a first optical system 101 arranged on the expansion conjugate side and a second optical system 102 arranged on the reduction conjugate side with the intermediate image 301 sandwiched between them, and is focused and modified. There is a re-imaging type zoom lens with a magnification function. Focusing is performed by moving the lens group B2 of the plurality of lens groups constituting the first optical system 101 in the optical axis direction. The scaling is performed by moving the lens groups B4, B5, B6, B7, and B8 in the optical axis direction among the plurality of lens groups constituting the second optical system 102. The lens group B2 that moves during focusing has a meniscus lens L2 having a negative refractive power on the most magnifying conjugate side and a highly dispersed lens L8 on the most reducing conjugate side.

With such a configuration, it is possible to provide an optical system 100 having a wide angle, a small lens diameter, and good optical performance in a wide projection distance range.
[Fifth Embodiment]
FIG. 9 is an optical path diagram of the optical system 100 according to the present embodiment. The optical system 100 is a zoom lens having a scaling function, and FIG. 9 shows an optical path diagram at a wide-angle end at a projection distance of 1163 mm.

The optical system 100 has a first optical system 101 having a positive refractive power that couples the enlarged side conjugate surface and the intermediate image, and the intermediate image and the reduced side conjugate surface, which are arranged in order from the expansion conjugate side to the reduction conjugate side. It consists of a second optical system 102 having a positive refractive power to be conjugated.

The first optical system 101 is composed of lens groups B1 and B2 having positive and positive powers, which are arranged in order from the expansion conjugate side to the reduction conjugate side, respectively. The second optical system 102 is arranged from the expansion conjugate side to the reduction conjugate side in order from the lens groups B3, B4, B5, B6, B7, B8 having positive, negative, positive, positive, positive, and positive powers, respectively. It is composed. ST is an aperture stop.

In the present embodiment, focusing is performed by moving the lens group B1 in the optical axis direction of the first optical system 101. The lens group B2 is fixed at the time of focusing.

The lens group B1 has a meniscus lens L2 having a negative refractive power on the most magnifying conjugate side.

In the present embodiment, the lens L7 arranged on the most reduced conjugate side of the lens group B1 is a single lens, and the Abbe number ν is 22.76, which satisfies the conditional expression (1). Therefore, the chromatic aberration of magnification can be satisfactorily corrected.

By arranging the pupil between the meniscus lens L1 and the lens L7, the height of the off-axis light beam with respect to the lens L7 is increased, and the power of the lens L7 is positive in order to suppress the enlargement of the optical system on the reduction conjugate side. The point is the same as that of the first to fourth embodiments.

Further, in the present embodiment, the scaling is performed by moving the lens groups B4, B5, B6, and B7 constituting the second optical system 102 in different trajectories in the optical axis direction of the second optical system 102. The aperture stop ST is a part of the lens group B7 and moves during zooming. That is, the optical system 100 is a zoom lens whose F number changes as the magnification changes.

Further, in the present embodiment, the focal length of the first optical system 101 is 10.31 mm, and the focal length of the lens group B1 is 21.47 mm, which satisfies the conditional expression (3).

Further, in the present embodiment, the focal length of the lens L7 is 51.51 mm, and the focal length of the subgroup excluding the lens L7 from the lens group B1 is -122.48 mm, which satisfies the conditional expression (7).

Further, in the present embodiment, the lens group B1 has a junction lens including a biconvex lens L4, a biconcave lens L5, and a biconvex lens L6. The Abbe numbers of the biconvex lens L4, the biconcave lens L5, and the biconvex lens L6 are 46.62, 24.80, and 67.74, which satisfy the conditional expressions (4) to (6).

FIG. 10 is an aberration diagram of the optical system 100 at the wide-angle end and the telephoto end at projection distances of 700 mm, 1163 mm, and 3493 mm in the present embodiment. Both aberrations are well corrected at both the wide-angle end and the telephoto end at each projection distance, and aberration fluctuations due to focusing and scaling are well suppressed.

As described above, the optical system 100 is composed of a first optical system 101 arranged on the expansion conjugate side and a second optical system 102 arranged on the reduction conjugate side with the intermediate image 301 sandwiched between them, and is focused and modified. There is a re-imaging type zoom lens with a magnification function. Focusing is performed by moving the lens group B1 of the plurality of lens groups constituting the first optical system 101 in the optical axis direction. The scaling is performed by moving the lens groups B4, B5, B6, and B7 in the optical axis direction among the plurality of lens groups constituting the second optical system 102. The lens group B1 that moves during focusing has a meniscus lens L1 having a negative refractive power on the most magnifying conjugate side and a highly dispersed lens L7 on the most reducing conjugate side.

With such a configuration, it is possible to provide an optical system 100 having a wide angle, a small lens diameter, and good optical performance in a wide projection distance range.
[Sixth Embodiment]
FIG. 9 is an optical path diagram of the optical system 100 according to the present embodiment. The optical system 100 is a zoom lens having a scaling function, and FIG. 11 shows an optical path diagram at a wide-angle end at a projection distance of 655 mm.

The optical system 100 has a first optical system 101 having a positive refractive power that couples the enlarged side conjugate surface and the intermediate image, and the intermediate image and the reduced side conjugate surface, which are arranged in order from the expansion conjugate side to the reduction conjugate side. It consists of a second optical system 102 having a positive refractive power to be conjugated.

The first optical system 101 is composed of lens groups B1, B2, B3, and B4 arranged in order from the expansion conjugate side to the reduction conjugate side, each of which has negative, negative, positive, and positive powers. The second optical system 102 is composed of lens groups B5, B6, B7, B8, and B9, which are arranged in order from the expansion conjugate side to the reduction conjugate side and whose powers are negative, positive, negative, positive, and positive, respectively. ST is an aperture stop.

In the present embodiment, focusing is performed by moving the lens groups B2 and B3 of the first optical system 101 in different trajectories in the optical axis direction. The lens groups B1 and B4 are fixed at the time of focusing.

Further, in the present embodiment, the scaling is performed by moving the lens groups B6, B7, and B8 constituting the second optical system 102 in different trajectories in the optical axis direction of the second optical system 102. The aperture stop ST is a part of the lens group B9 and does not move during zooming. That is, the optical system 100 is a zoom lens in which the F number does not change due to the magnification change.

In the first optical system 101, the lens group B2 among the lens groups that move during focusing has a meniscus lens L2 having a negative refractive power on the most magnifying conjugate side. Further, in the present embodiment, among the lens groups that move during focusing, the lens group B3 arranged on the reduction conjugate side of the lens group B2 has a high dispersion to correct the fluctuation of the chromatic aberration of magnification due to the movement of the lens group B2. ing. In the present embodiment, when the Abbe number of the lens group B3 is ν ₂ , the following conditional expression (10) is satisfied.

0 <ν ₂ ≤ 40 (10)
When the Abbe number ν ₂ is less than the lower limit of the conditional equation (10), the moving directions of the lens groups B2 and B3 for correcting the chromatic aberration of magnification are opposite, so that the distance between the lens groups B2 and B3 is made wider. The need arises, which leads to an increase in the size of the optical system 100. Further, when the Abbe number ν ₂ exceeds the upper limit value of the conditional expression (10), the dispersion of the lens group B3 becomes weak, and the effect of correcting the chromatic aberration of magnification becomes insufficient.

Preferably, the numerical range of the conditional expression (10) is preferably the range of the following conditional expression (10a).

0 <ν ₂ ≤ 30 (10a)
More preferably, the numerical range of the conditional expression (10) may be the range of the following conditional expression (10b).

0 <ν ₂ ≤ 25 (10b)
The lens group B3 may be a single lens or a junction lens. In the present embodiment, the lens group B3 is a single lens, and the Abbe number ν ₂ is 22.76, which satisfies the conditional expression (10). When the lens group B3 is composed of a junction of n lenses, the Abbe number ν ₂ is defined by the equation (2).

In order to enhance the correction effect of chromatic aberration of magnification, it is preferable to increase the height of the off-axis light rays to the lens group B3. Further, in order to enhance the correction effect of curvature of field, it is preferable to increase the height of the off-axis light beam to the meniscus lens L2 arranged on the most magnified conjugated side of the lens group B2. In the present embodiment, the pupil is arranged between the meniscus lens L2 and the lens group B3 so that the main ray of the off-axis ray intersects the optical axis between the meniscus lens L2 and the lens group B3. There is. With such a configuration, the height of the off-axis light rays can be increased with respect to the lens group B3, and the effect of correcting the chromatic aberration of magnification can be enhanced.

When the power of the lens group B3 is negative, the off-axis light rays are further refracted to the outside, which leads to an increase in the size of the optical system on the reduction conjugate side. Therefore, it is preferable that the power of the lens group B3 is positive.

Further, in the present embodiment, the lens group B2 has a junction lens including a biconvex lens L6, a biconcave lens L7, and a biconvex lens L8. The Abbe numbers of the biconvex lens L6, the biconcave lens L7, and the biconvex lens L8 are 40.77, 23.78, and 68.62, which satisfy the conditional expressions (4) to (6).

Lens group B2, B3 of the focal length, _{respectively,} when the f 1, _{f 2,} it is preferable to satisfy the following equation (11).

When it is out of the range of the conditional expression (11), the power of the lens group B3 becomes too weak than the absolute value of the power of the lens group B1, and the chromatic aberration of magnification becomes insufficiently corrected.

In the present embodiment, the focal length of the lens group B2 is -117.29 mm, and the focal length of the lens group B3 is 45.66 mm, which satisfies the conditional expression (11).

FIG. 12 is an aberration diagram of the optical system 100 at the wide-angle end and the telephoto end at projection distances of 459 mm, 655 mm, and 1965 mm in the present embodiment. Both aberrations are well corrected at both the wide-angle end and the telephoto end at each projection distance, and aberration fluctuations due to focusing and scaling are well suppressed.

As described above, the optical system 100 is composed of a first optical system 101 arranged on the expansion conjugate side and a second optical system 102 arranged on the reduction conjugate side with the intermediate image 301 sandwiched between them, and is focused and modified. There is a re-imaging type zoom lens with a magnification function. Focusing is performed by moving the lens groups B2 and B3 of the plurality of lens groups constituting the first optical system 101 in the optical axis direction. The scaling is performed by moving the lens groups B6, B7, and B8 in the optical axis direction among the plurality of lens groups constituting the second optical system 102.
Among the lens groups that move during focusing, the lens group B2 has a meniscus lens L1 having a negative refractive power on the most magnifying conjugate side, and the lens group B3 arranged on the reducing conjugate side of the lens group B2 has a high dispersion.

With such a configuration, it is possible to provide an optical system 100 having a wide angle, a small lens diameter, and good optical performance in a wide projection distance range.
[7th Embodiment]
FIG. 13 is an optical path diagram of the optical system 100 according to the present embodiment. The optical system 100 is a zoom lens having a scaling function, and FIG. 13 shows an optical path diagram at a wide-angle end at a projection distance of 655 mm.

The positive and negative power arrangements of each lens group and the number of lens groups constituting the first optical system 101 and the second optical system 102 are the same as those in the sixth embodiment, but constitute individual lens groups. The number of single lenses is partially different.

In the present embodiment, the number of lens groups that move during focusing can be increased by one as compared with the sixth embodiment, and the variation in curvature of field can be corrected more satisfactorily.

In addition, the magnification is increased by increasing the number of moving lens groups by one, and the aberration fluctuation correction at the time of magnification is improved.

In the present embodiment, focusing is performed by moving the lens groups B2, B3, and B4 of the first optical system 101 in different trajectories in the optical axis direction. The lens group B1 is fixed at the time of focusing.

In the first optical system 101, the lens group B2 among the lens groups that move during focusing has a meniscus lens L2 having a negative refractive power on the most magnifying conjugate side.

The lens group B3 arranged on the reduction conjugate side of the lens group B2 is composed of the lens L9, and the Abbe number ν ₂ is 22.76, which satisfies the conditional expression (10). Therefore, the chromatic aberration of magnification can be satisfactorily corrected.

By arranging the pupil between the meniscus lens L2 and the lens group B3, the height of the off-axis light beam with respect to the lens group B3 is increased, and in order to suppress the enlargement of the optical system on the reduction conjugate side, the lens group B3 The point that the power is positive is also the same as that of the sixth embodiment.

In the present embodiment, by moving the lens groups B2, B3, and B4 during focusing, the fluctuation of curvature of field can be corrected more satisfactorily.

The wider the wide-angle end of the optical system 100 is, the greater the curvature of field occurs when the projection distance changes. Therefore, especially when the half angle of view exceeds 60 °, as in the present embodiment. It is preferable to have three lens groups that move during focusing.

Further, it is preferable that the power of the lens group B4 is positive in order to suppress an increase in the size of the optical system on the reduction conjugate side of the lens group B4.

Further, lens groups B2, B3, B4 of the focal length, _{respectively,} when the _{f 1, f 2, f 3} , the following conditional expression (12), it is preferable to satisfy (13).

When it is out of the range of the conditional expression (12), the power of the lens group B4 becomes too weak with respect to the absolute value of the power of the lens group B2, and the correction effect of the curvature of field due to the increase in the number of lens groups that move during focusing. Will not be obtained enough.

The lower limit of the conditional expression (13) is determined by the fact that the powers of the lens groups B3 and B4 are both positive. If the upper limit of the conditional expression (13) is exceeded, the power of the lens group B4 becomes too large with respect to the power of the lens group B3, and the chromatic aberration of magnification worsens.

Further, in the present embodiment, the scaling is performed by moving the lens groups B5, B6, B7, and B8 constituting the second optical system 102 in different trajectories in the optical axis direction of the second optical system 102. The aperture stop ST is a part of the lens group B9 and does not move during zooming. That is, the optical system 100 is a zoom lens in which the F number does not change due to the magnification change.

In the present embodiment, the focal lengths of the lens groups B2, B3, and B4 are −108.83 mm, 45.31 mm, and 36.93 mm, respectively, which satisfy the conditional expressions (11) to (13).

Further, in the present embodiment, the lens group B2 has a junction lens including a biconvex lens L6, a biconcave lens L7, and a biconvex lens L8. The Abbe numbers of the biconvex lens L6, the biconcave lens L7, and the biconvex lens L8 are 40,081,23.78,68.62, which satisfy the conditional expressions (4) to (6).

FIG. 14 is an aberration diagram of the optical system 100 at the wide-angle end and the telephoto end at projection distances of 459 mm, 655 mm, and 1965 mm in the present embodiment. Both aberrations are well corrected at both the wide-angle end and the telephoto end at each projection distance, and aberration fluctuations due to focusing and scaling are well suppressed.

As described above, the optical system 100 is composed of a first optical system 101 arranged on the expansion conjugate side and a second optical system 102 arranged on the reduction conjugate side with the intermediate image 301 sandwiched between them, and is focused and modified. There is a re-imaging type zoom lens with a magnification function. Focusing is performed by moving the lens groups B2, B3, and B4 in the optical axis direction among the plurality of lens groups constituting the first optical system 101. The scaling is performed by moving the lens groups B5, B6, B7, and B8 in the optical axis direction among the plurality of lens groups constituting the second optical system 102. Among the lens groups that move during focusing, the lens group B2 has a meniscus lens L2 having a negative refractive power on the most magnifying conjugate side. Further, a highly dispersed lens group B3 is arranged on the reduction conjugate side of the lens group B2.

With such a configuration, it is possible to provide an optical system 100 having a wide angle, a small lens diameter, and good optical performance in a wide projection distance range.
[8th Embodiment]
FIG. 15 is an optical path diagram of the optical system 100 according to the present embodiment. The optical system 100 is a zoom lens having a scaling function, and FIG. 15 shows an optical path diagram at a wide-angle end at a projection distance of 775 mm.

The positive and negative power arrangements of each lens group and the number of lens groups constituting the first optical system 101 and the second optical system 102 are the same as those in the sixth and seventh embodiments, but the individual lens groups. The number of single lenses constituting the above is partially different.

In the present embodiment, focusing is performed by moving the lens groups B2, B3, and B4 of the first optical system 101 in different trajectories in the optical axis direction. The lens group B1 is fixed at the time of focusing.

In the first optical system 101, the lens group B2 among the lens groups that move during focusing has a meniscus lens L2 having a negative refractive power on the most magnifying conjugate side.

The lens group B3 arranged on the reduction conjugate side of the lens group B2 is composed of the lens L8, and the Abbe number ν ₂ is 22.76, which satisfies the conditional expression (10). Therefore, the chromatic aberration of magnification can be satisfactorily corrected.

By arranging the pupil between the meniscus lens L2 and the lens group B3, the height of the off-axis light beam with respect to the lens group B3 is increased, and the lens group B3 and the lens group B3 are suppressed in order to suppress the enlargement of the optical system on the reduction conjugate side. The point that the power of B4 is positive is also the same as that of the seventh embodiment.

Further, in the present embodiment, the scaling is performed by moving the lens groups B5, B6, B7, and B8 constituting the second optical system 102 in different trajectories in the optical axis direction of the second optical system 102. The aperture stop ST is a part of the lens group B9 and does not move during zooming. That is, the optical system 100 is a zoom lens in which the F number does not change due to the magnification change.

In the present embodiment, the focal lengths of the lens groups B2, B3, and B4 are 146.45 mm, 40.91 mm, and 34.15 mm, respectively, which satisfy the conditional expressions (11) to (13).

Further, in the present embodiment, the lens group B2 has a junction lens including a biconvex lens L5, a biconcave lens L6, and a biconvex lens L7. The Abbe numbers of the biconvex lens L5, the biconcave lens L6, and the biconvex lens L7 are 46.62, 23.78, and 68.62, which satisfy the conditional expressions (4) to (6).

FIG. 16 is an aberration diagram of the optical system 100 at the wide-angle end and the telephoto end at projection distances of 542 mm, 755 mm, and 2325 mm in the present embodiment. Both aberrations are well corrected at both the wide-angle end and the telephoto end at each projection distance, and aberration fluctuations due to focusing and scaling are well suppressed.

As described above, the optical system 100 is composed of a first optical system 101 arranged on the expansion conjugate side and a second optical system 102 arranged on the reduction conjugate side with the intermediate image 301 sandwiched between them, and is focused and modified. There is a re-imaging type zoom lens with a magnification function. Focusing is performed by moving the lens groups B2, B3, and B4 in the optical axis direction among the plurality of lens groups constituting the first optical system 101. The scaling is performed by moving the lens groups B5, B6, B7, and B8 in the optical axis direction among the plurality of lens groups constituting the second optical system 102. Among the lens groups that move during focusing, the lens group B2 has a meniscus lens L2 having a negative refractive power on the most magnifying conjugate side. Further, a highly dispersed lens group B3 is arranged on the reduction conjugate side of the lens group B2.

With such a configuration, it is possible to provide an optical system 100 having a wide angle, a small lens diameter, and good optical performance in a wide projection distance range.
[9th Embodiment]
FIG. 17 is an optical path diagram of the optical system 100 according to the present embodiment. The optical system 100 is a zoom lens having a scaling function, and FIG. 17 shows an optical path diagram at a wide-angle end at a projection distance of 968 mm.

The optical system 100 has a first optical system 101 having a positive refractive power that couples the enlarged side conjugate surface and the intermediate image, and the intermediate image and the reduced side conjugate surface, which are arranged in order from the expansion conjugate side to the reduction conjugate side. It consists of a second optical system 102 having a positive refractive power to be conjugated.

The first optical system 101 is composed of lens groups B1, B2, B3, and B4, which are arranged in order from the expansion conjugate side to the reduction conjugate side and have negative, positive, positive, and positive powers, respectively. The second optical system 102 is composed of lens groups B5, B6, B7, B8, and B9, which are arranged in order from the expansion conjugate side to the reduction conjugate side and whose powers are negative, positive, negative, positive, and positive, respectively. ST is an aperture stop.

In the present embodiment, focusing is performed by moving the lens groups B2, B3, and B4 of the first optical system 101 in different trajectories in the optical axis direction. The lens group B1 is fixed at the time of focusing.

In the first optical system 101, the lens group B2 among the lens groups that move during focusing has a meniscus lens L2 having a negative refractive power on the most magnifying conjugate side.

The lens group B3 arranged on the reduction conjugate side of the lens group B2 is composed of the lens L9, and the Abbe number ν ₂ is 22.76, which satisfies the conditional expression (10). Therefore, the chromatic aberration of magnification can be satisfactorily corrected.

By arranging the pupil between the meniscus lens L2 and the lens group B3, the height of the off-axis light beam with respect to the lens group B3 is increased, and the lens group B3 and the lens group B3 are suppressed in order to suppress the enlargement of the optical system on the reduction conjugate side. The point that the power of B4 is positive is also the same as that of the seventh and eighth embodiments.

Further, in the present embodiment, the scaling is performed by moving the lens groups B5, B6, B7, and B8 constituting the second optical system 102 in different trajectories in the optical axis direction of the second optical system 102. The aperture stop ST is a part of the lens group B9 and does not move during zooming. That is, the optical system 100 is a zoom lens in which the F number does not change due to the magnification change.

In the present embodiment, the focal lengths of the lens groups B2, B3, and B4 are 2155.36 mm, 55.04 mm, and 39.20 mm, respectively, which satisfy the conditional expressions (11) to (13).

Further, in the present embodiment, the lens group B2 has a junction lens including a biconvex lens L6, a biconcave lens L7, and a biconvex lens L8. The Abbe numbers of the biconvex lens L6, the biconcave lens L7, and the biconvex lens L8 are 40,081,23.78,68.62, which satisfy the conditional expressions (4) to (6).

FIG. 18 is an aberration diagram of the optical system 100 at the wide-angle end and the telephoto end at projection distances of 484 mm, 968 mm, and 2904 mm in the present embodiment. Both aberrations are well corrected at both the wide-angle end and the telephoto end at each projection distance, and aberration fluctuations due to focusing and scaling are well suppressed.

As described above, the optical system 100 is composed of a first optical system 101 arranged on the expansion conjugate side and a second optical system 102 arranged on the reduction conjugate side with the intermediate image 301 sandwiched between them, and is focused and modified. There is a re-imaging type zoom lens with a magnification function. Focusing is performed by moving the lens groups B2, B3, and B4 in the optical axis direction among the plurality of lens groups constituting the first optical system 101. The scaling is performed by moving the lens groups B5, B6, B7, and B8 in the optical axis direction among the plurality of lens groups constituting the second optical system 102. Among the lens groups that move during focusing, the lens group B2 has a meniscus lens L2 having a negative refractive power on the most magnifying conjugate side. Further, a highly dispersed lens group B3 is arranged on the reduction conjugate side of the lens group B2.

With such a configuration, it is possible to provide an optical system 100 having a wide angle, a small lens diameter, and good optical performance in a wide projection distance range.
[10th Embodiment]
FIG. 19 is an optical path diagram of the optical system 100 according to the present embodiment. The optical system 100 is a zoom lens having a scaling function, and FIG. 19 shows an optical path diagram at a wide-angle end at a projection distance of 1163 mm.

The optical system 100 has a first optical system 101 having a positive refractive power that couples the enlarged side conjugate surface and the intermediate image, and the intermediate image and the reduced side conjugate surface, which are arranged in order from the expansion conjugate side to the reduction conjugate side. It consists of a second optical system 102 having a positive refractive power to be conjugated.

The first optical system 101 is composed of lens groups B1, B2, B3, and B4, which are arranged in order from the expansion conjugate side to the reduction conjugate side and have negative, positive, positive, and positive powers, respectively. The second optical system 102 is arranged from the expansion conjugate side to the reduction conjugate side in order from the lens groups B5, B6, B7, B8, B9, B10 having negative, positive, negative, positive, negative, and positive powers, respectively. It is composed. ST is an aperture stop.

In the present embodiment, focusing is performed by moving the lens groups B2 and B3 of the first optical system 101 in different trajectories in the optical axis direction. The lens groups B1 and B4 are fixed at the time of focusing.

In the first optical system 101, the lens group B2 among the lens groups that move during focusing has a meniscus lens L2 having a negative refractive power on the most magnifying conjugate side.

The lens group B3 arranged on the reduction conjugate side of the lens group B2 is composed of the lens L8, and the Abbe number ν ₂ is 22.76, which satisfies the conditional expression (10). Therefore, the chromatic aberration of magnification can be satisfactorily corrected.

By arranging the pupil between the meniscus lens L2 and the lens group B3, the height of the off-axis light beam with respect to the lens group B3 is increased, and in order to suppress the enlargement of the optical system on the reduction conjugate side, the lens group B3 The point that the power is positive is also the same as that of the sixth to ninth embodiments.

Further, in the present embodiment, the scaling is performed by moving the lens groups B5, B6, B7, B8, and B9 constituting the second optical system 102 in different trajectories in the optical axis direction of the second optical system 102. .. The aperture stop ST is a part of the lens group B10 and does not move during zooming. That is, the optical system 100 is a zoom lens in which the F number does not change due to the magnification change.

In the present embodiment, the focal lengths of the lens groups B2 and B3 are 87.74 mm and 70.43 mm, respectively, which satisfy the conditional expression (11).

Further, in the present embodiment, the lens group B2 has a junction lens including a biconvex lens L5, a biconcave lens L6, and a biconvex lens L7. The Abbe numbers of the biconvex lens L5, the biconcave lens L6, and the biconvex lens L7 are 37.13, 23.78, 68.62, which satisfy the conditional expressions (4) to (6).

FIG. 20 is an aberration diagram of the optical system 100 at the wide-angle end and the telephoto end at projection distances of 697 mm, 1163 mm, and 3489 mm in the present embodiment. Both aberrations are well corrected at both the wide-angle end and the telephoto end at each projection distance, and aberration fluctuations due to focusing and scaling are well suppressed.

As described above, the optical system 100 is composed of a first optical system 101 arranged on the expansion conjugate side and a second optical system 102 arranged on the reduction conjugate side with the intermediate image 301 sandwiched between them, and is focused and modified. There is a re-imaging type zoom lens with a magnification function. Focusing is performed by moving the lens groups B2 and B3 of the plurality of lens groups constituting the first optical system 101 in the optical axis direction. The scaling is performed by moving the lens groups B5, B6, B7, B8, and B9 in the optical axis direction among the plurality of lens groups constituting the second optical system 102. Among the lens groups that move during focusing, the lens group B2 has a meniscus lens L2 having a negative refractive power on the most magnifying conjugate side. Further, a highly dispersed lens group B3 is arranged on the reduction conjugate side of the lens group B2.

With such a configuration, it is possible to provide an optical system 100 having a wide angle, a small lens diameter, and good optical performance in a wide projection distance range.
[11th Embodiment]
FIG. 21 is an optical path diagram of the optical system 100 according to the present embodiment. The optical system 100 is a zoom lens having a scaling function, and FIG. 21 shows an optical path diagram at a wide-angle end at a projection distance of 1163 mm.

The optical system 100 has a first optical system 101 having a positive refractive power that couples the enlarged side conjugate surface and the intermediate image, and the intermediate image and the reduced side conjugate surface, which are arranged in order from the expansion conjugate side to the reduction conjugate side. It consists of a second optical system 102 having a positive refractive power to be conjugated.

The first optical system 101 is composed of lens groups B1, B2, B3, and B4, which are arranged in order from the expansion conjugate side to the reduction conjugate side and have negative, positive, positive, and positive powers, respectively. The second optical system 102 is arranged in order from the expansion conjugate side to the reduction conjugate side, and the lens groups B5, B6, B7, B8, B9, whose powers are negative, positive, negative, positive, negative, positive, and positive, respectively. It is composed of B10 and B11. ST is an aperture stop.

In the present embodiment, focusing is performed by moving the lens groups B2 and B3 of the first optical system 101 in different trajectories in the optical axis direction. The lens groups B1 and B4 are fixed at the time of focusing.

In the first optical system 101, the lens group B2 among the lens groups that move during focusing has a meniscus lens L2 having a negative refractive power on the most magnifying conjugate side.

The lens group B3 arranged on the reduction conjugate side of the lens group B2 is composed of the lens L8, and the Abbe number ν ₂ is 22.76, which satisfies the conditional expression (10). Therefore, the chromatic aberration of magnification can be satisfactorily corrected.

By arranging the pupil between the meniscus lens L2 and the lens group B3, the height of the off-axis light beam with respect to the lens group B3 is increased, and in order to suppress the enlargement of the optical system on the reduction conjugate side, the lens group B3 The point that the power is positive is also the same as in the sixth to tenth embodiments.

Further, in the present embodiment, the variable magnification is obtained by moving the lens groups B5, B6, B7, B8, B9, and B10 constituting the second optical system 102 in different trajectories in the optical axis direction of the second optical system 102. Will be done. The aperture stop ST is a part of the lens group B10 and moves during zooming. That is, the optical system 100 is a zoom lens whose F number changes with scaling.

In the present embodiment, the focal lengths of the lens groups B2 and B3 are 142.72 mm and 64.41 mm, respectively, which satisfy the conditional expression (11).

Further, in the present embodiment, the lens group B2 has a junction lens including a biconvex lens L5, a biconcave lens L6, and a biconvex lens L7. The Abbe numbers of the biconvex lens L5, the biconcave lens L6, and the biconvex lens L7 are 37.13, 23.78, 68.62, which satisfy the conditional expressions (4) to (6).

FIG. 22 is an aberration diagram of the optical system 100 at the wide-angle end and the telephoto end at projection distances of 697 mm, 1163 mm, and 3489 mm in the present embodiment. Both aberrations are well corrected at both the wide-angle end and the telephoto end at each projection distance, and aberration fluctuations due to focusing and scaling are well suppressed.

As described above, the optical system 100 is composed of a first optical system 101 arranged on the expansion conjugate side and a second optical system 102 arranged on the reduction conjugate side with the intermediate image 301 sandwiched between them, and is focused and modified. There is a re-imaging type zoom lens with a magnification function. Focusing is performed by moving the lens groups B2 and B3 of the plurality of lens groups constituting the first optical system 101 in the optical axis direction. The scaling is performed by moving the lens groups B5, B6, B7, B8, B9, and B10 in the optical axis direction among the plurality of lens groups constituting the second optical system 102. Among the lens groups that move during focusing, the lens group B2 has a meniscus lens L2 having a negative refractive power on the most magnifying conjugate side. Further, a highly dispersed lens group B3 is arranged on the reduction conjugate side of the lens group B2.

With such a configuration, it is possible to provide an optical system 100 having a wide angle, a small lens diameter, and good optical performance in a wide projection distance range.
[Twelfth Embodiment]
FIG. 23 is an optical path diagram of the optical system 100 according to the present embodiment. The optical system 100 is a zoom lens having a scaling function, and FIG. 23 shows an optical path diagram at a wide-angle end at a projection distance of 1463 mm.

The optical system 100 has a first optical system 101 having a positive refractive power that couples the enlarged side conjugate surface and the intermediate image, and the intermediate image and the reduced side conjugate surface, which are arranged in order from the expansion conjugate side to the reduction conjugate side. It consists of a second optical system 102 having a positive refractive power to be conjugated.

The first optical system 101 is composed of lens groups B1, B2, and B3 having positive, positive, and positive powers, which are arranged in order from the expansion conjugate side to the reduction conjugate side, respectively. The second optical system 102 is arranged in order from the expansion conjugation side to the reduction conjugation side, and the lens groups B4, B5, B6, B7, B8, whose powers are negative, positive, negative, positive, negative, positive, and positive, respectively. It is composed of B9 and B10. ST is an aperture stop.

In the present embodiment, focusing is performed by moving the lens groups B1 and B2 of the first optical system 101 in different trajectories in the optical axis direction. The lens group B3 is fixed at the time of focusing.

In the first optical system 101, the lens group B1 among the lens groups that move during focusing has a meniscus lens L1 having a negative refractive power on the most magnifying conjugate side.

The lens group B2 arranged on the reduction conjugate side of the lens group B1 is composed of the lens L7, and the Abbe number ν ₂ is 22.76, which satisfies the conditional expression (10). Therefore, the chromatic aberration of magnification can be satisfactorily corrected.

By arranging the pupil between the meniscus lens L1 and the lens group B2, the height of the off-axis light beam with respect to the lens group B2 is increased, and in order to suppress the enlargement of the optical system on the reduction conjugate side, the lens group B2 The point that the power is positive is also the same as in the sixth to eleventh embodiments.

Further, in the present embodiment, the scaling is performed by moving the lens groups B5, B6, B7, B8, and B9 constituting the second optical system 102 in different trajectories in the optical axis direction of the second optical system 102. .. The aperture stop ST is a part of the lens group B9 and moves during zooming. That is, the optical system 100 is a zoom lens whose F number changes with scaling.

In the present embodiment, the focal lengths of the lens groups B1 and B2 are 95.83 mm and 62.19 mm, respectively, which satisfy the conditional expression (11).

Further, in the present embodiment, the lens group B1 has a junction lens including a biconvex lens L4, a biconcave lens L5, and a biconvex lens L6. The Abbe numbers of the biconvex lens L4, the biconcave lens L5, and the biconvex lens L6 are 40.77, 23.78, and 68.62, which satisfy the conditional expressions (4) to (6).

FIG. 24 is an aberration diagram of the optical system 100 at the wide-angle end and the telephoto end at projection distances of 700 mm, 1436 mm, and 4393 mm in the present embodiment. Both aberrations are well corrected at both the wide-angle end and the telephoto end at each projection distance, and aberration fluctuations due to focusing and scaling are well suppressed.

As described above, the optical system 100 is composed of a first optical system 101 arranged on the expansion conjugate side and a second optical system 102 arranged on the reduction conjugate side with the intermediate image 301 sandwiched between them, and is focused and modified. There is a re-imaging type zoom lens with a magnification function. Focusing is performed by moving the lens groups B1 and B2 in the optical axis direction among the plurality of lens groups constituting the first optical system 101. The scaling is performed by moving the lens groups B5, B6, B7, B8, and B9 in the optical axis direction among the plurality of lens groups constituting the second optical system 102. Among the lens groups that move during focusing, the lens group B1 has a meniscus lens L1 having a negative refractive power on the most magnifying conjugate side. Further, a highly dispersed lens group B2 is arranged on the reduction conjugate side of the lens group B1.

With such a configuration, it is possible to provide an optical system 100 having a wide angle, a small lens diameter, and good optical performance in a wide projection distance range.

Tables 1 to 12 show specific numerical data of the optical system 100 of the first to twelfth embodiments.

Each table (A) shows the lens configuration. f is the focal length, Fno is the F number, and ω is the half angle of view (degrees). The sign of the focal length is negative because it has an intermediate image and is imaged as an erect image on the conjugate surface on the enlargement side and the conjugate surface on the reduction side, and the optical system 100 has a positive power. Please note that there is.

The paraxial radius of curvature r is the radius of curvature of each surface, the surface spacing d is the axial spacing between each surface and the next surface, and the refractive index n and Abbe number ν are the refraction of the material of each optical member with respect to the d line. The rate and Abbe number. The Abbe number ν of a certain material is determined when the refractive indexes of the Fraunhofer line d-line (587.6 nm), F-line (486.1 nm), and C-line (656.3 nm) are Nd, NF, and NC.
ν = (Nd-1) / (NF-NC)
It is represented by.

Further, when the optical surface is an aspherical surface represented by the following equation (14), a * symbol is attached to the left side of the surface number. y is the radial distance from the optical axis, z is the sag amount of the surface in the optical axis direction, r is the paraxial radius of curvature, and k is the cornic coefficient. The sign of z is positive in the direction from the expansion conjugate side to the reduction conjugate side. Further, ST indicates an aperture stop.

Each table (B) shows the coefficient of each surface. In addition, "E ± x" means "10 ^{± x} ".

Each table (C) shows each surface spacing (group spacing) that changes during focusing and scaling. The distance L is the projection distance.

[Image projection device]
FIG. 25 is a schematic view of an image projection device having the optical system 100 of the present invention as a projection optical system. The illumination optical system 52 has a function of realizing illumination with less unevenness on the light modulation element. The color separation optical system 53 separates the light from the illumination optical system 52 into an arbitrary color corresponding to the light modulation element. The polarizing beam splitters 54 and 55 transmit or reflect incident light. The reflective image display elements 57, 58, 59 modulate the incident light according to an electric signal. The color synthesis optical system 56 synthesizes the light from each light modulation element into one. The projection optical system 60 includes the optical system 100 of the present invention, and projects the light synthesized by the color synthesis optical system 56 onto a projection surface such as a screen 61. The illumination optical system 52, the color separation optical system 53, the polarizing beam splitters 54 and 55, and the color synthesis optical system 56 are light guide optical systems for guiding the light from the light source 51 to the image display element.

As an example of the image projection device, a device using three reflective image display elements has been shown, but the device is not limited thereto.
[Imaging device]
Next, an example of a digital still camera (imaging apparatus) using the optical system of the present invention as an imaging optical system will be described with reference to FIG. In FIG. 26, 10 is a camera body, and 11 is a photographing optical system composed of any of the optical systems described in the first to twelfth embodiments. Reference numeral 12 denotes a solid-state image sensor (photoelectric conversion element) such as a CCD sensor or a CMOS sensor, which is built in the camera body and receives an optical image formed by the photographing optical system 11 and performs photoelectric conversion. The camera body 10 may be a so-called single-lens reflex camera having a quick turn mirror, or a so-called mirrorless camera having no quick turn mirror.

By applying the optical system of the present invention to an imaging device such as a digital still camera in this way, it is possible to obtain an imaging device having a small lens.
[Imaging system]
An imaging system (surveillance camera system) including the zoom lens of each embodiment and a control unit for controlling the zoom lens may be configured. In this case, the control unit can control the zoom lens so that each lens group moves as described above during zooming or focusing. At this time, the control unit does not have to be integrally configured with the zoom lens, and the control unit may be configured as a separate body from the zoom lens. For example, a control unit (control device) located far from the drive unit that drives each lens of the zoom lens is provided with a transmission unit that sends a control signal (command) for controlling the zoom lens. You may. According to such a control unit, the zoom lens can be remotely controlled.

Further, by providing an operation unit such as a controller or a button for remotely controlling the zoom lens in the control unit, the zoom lens may be controlled in response to an input to the user's operation unit. For example, a zoom lens is provided as an operation unit, and the magnification of the zoom lens is increased when the user presses the enlargement button, and the magnification of the zoom lens is decreased when the user presses the reduction button. It may be configured so that a signal is sent to the drive unit of.

Further, the imaging system may have a display unit such as a liquid crystal panel that displays information (moving state) regarding the zoom of the zoom lens. The information regarding the zoom of the zoom lens is, for example, the zoom magnification (zoom state) and the amount of movement (movement state) of each lens group. In this case, the user can remotely control the zoom lens via the operation unit while viewing the information regarding the zoom of the zoom lens displayed on the display unit. At this time, the display unit and the operation unit may be integrated by adopting, for example, a touch panel.

Although the preferred embodiments and examples of the present invention have been described above, the present invention is not limited to these embodiments and examples, and various combinations, modifications and modifications can be made within the scope of the gist thereof.

100 Optical system (imaging optical system)
101 First optical system 102 Second optical system 301 Intermediate image B2 Second lens group (first lens group)

Claims (25)

It is composed of a first optical system having a positive refractive power and a second optical system having a positive refractive power in this order from the expansion conjugate side to the reduction conjugate side, and the expansion conjugate points on the expansion conjugate side are the first optical system and the first optical system. An imaging optical system in which an image is formed at an intermediate imaging position between two optical systems, and an image formed at the intermediate imaging position is reimaged at a reduction conjugate point on the reduction conjugate side.
The first optical system has a first lens group that moves in the optical axis direction during focusing and has a meniscus lens having a negative refractive power on the most magnifying conjugate side.
The second optical system is fixed at the time of focusing and is fixed.
When the Abbe number of the lens arranged on the most reduced conjugate side of the first lens group is ν, the focal length of the first optical system is f _s , and the focal length of the first lens group is f ₁ .
0 <ν ≦ 40

An imaging optical system characterized by satisfying the conditional expression. The first aspect of claim 1 is that the main ray of an off-axis ray intersects the optical axis of the optical system between the meniscus lens and the lens arranged on the most reduced conjugate side of the first lens group. The optical system described in the image. The imaging optical system according to claim 1 or 2, wherein the power of the lens arranged on the most reduced conjugated side of the first lens group is positive. The focal length f _m of the most reduction conjugate side to the lens disposed in the first lens _group, the focal length of the subgroup with the exception of the most arranged on the reduction side lenses of the first lens group from the first lens group When you say _fm '

The imaging optical system according to any one of claims 1 to 3, wherein the conditional expression is satisfied. The imaging optical system according to any one of claims 1 to 4, wherein the first optical system has one group of moving lenses that move in the optical axis direction during focusing. The imaging optical system according to any one of claims 1 to 4, wherein the first optical system has two groups of moving lenses that move in the optical axis direction during focusing. It is composed of a first optical system having a positive refractive power and a second optical system having a positive refractive power in this order from the expansion conjugate side to the reduction conjugate side, and the expansion conjugate points on the expansion conjugate side are the first optical system and the first optical system. An imaging optical system in which an image is formed at an intermediate imaging position between two optical systems, and an image formed at the intermediate imaging position is reimaged at a reduction conjugate point on the reduction conjugate side.
The first optical system is a first lens group arranged in order from the expansion conjugate side to the reduction conjugate side, which moves in the optical axis direction during focusing and includes a meniscus lens having a negative refractive power on the most expansion conjugate side. It has a second lens group that moves in the optical axis direction during focusing.
The second optical system is fixed at the time of focusing and is fixed.
When the Abbe number of the second lens group is ν ₂ ,
0 <ν ₂ ≤ 40
An imaging optical system characterized by satisfying the conditional expression. The imaging optical system according to claim 7, wherein the main ray of an off-axis ray intersects the optical axis of the optical system between the meniscus lens and the second lens group. The imaging optical system according to claim 7 or 8, wherein the power of the second lens group is positive. When the focal length of the first lens group is f ₁ and the focal length of the second lens group is f ₂ .

The imaging optical system according to any one of claims 7 to 9, wherein the conditional expression is satisfied. The imaging optical system according to any one of claims 7 to 10, wherein the first optical system has three groups of moving lenses that move in the optical axis direction during focusing. The imaging optical system according to claim 11, wherein the power of the third lens group, which is different from the first and second lens groups, among the three moving lens groups is positive. When the focal length of the third lens group and f _3,

The imaging optical system according to claim 12, wherein the conditional expression is satisfied. The imaging optical system according to any one of claims 7 to 10, wherein the first optical system has two groups of moving lenses that move in the optical axis direction during focusing. The imaging optical system according to claim 14, wherein the power of the second lens group different from that of the first lens group among the moving lens groups is positive. When the focal length of the second lens group and f _2,

The imaging optical system according to claim 15, wherein the conditional expression is satisfied. The imaging optical system according to any one of claims 1 to 16, wherein the first lens group includes a bonded lens. The imaging optical system according to claim 17, wherein the junction lens is composed of three single lenses. The imaging optical system according to claim 18, wherein the junction lens comprises a biconvex lens, a biconcave lens, and a biconvex lens arranged in order from the magnifying conjugate side to the reducing conjugate side. When the Abbe numbers of each of the three single lenses are set to ν ₁₁ , ν ₁₂ , and ν _{13 in} order from the enlarged conjugated side,
ν ₁₂ <ν ₁₁
ν ₁₂ <ν ₁₃
ν ₁₁ <ν ₁₃
The imaging optical system according to claim 18 or 19, wherein the conditional expression is satisfied. Any one of claims 1 to 20, wherein the first optical system includes at least one group of variable magnification lenses that move in the optical axis direction during zooming, and the second optical system is fixed. The imaging optical system according to. According to any one of claims 1 to 20, the first optical system is fixed during zooming, and the second optical system includes at least one variable magnification lens that moves in the optical axis direction. The imaging optical system described. The imaging optics according to any one of claims 1 to 20, wherein each of the first and second optical systems includes at least one variable magnification lens that moves in the optical axis direction during zooming. system. The imaging optical system according to any one of claims 1 to 23, wherein the meniscus lens has an aspherical surface. Light modulation element and
An image projection apparatus comprising the imaging optical system according to any one of claims 1 to 24.

Images