Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention, and it is apparent that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be obtained by a person skilled in the art without any inventive step based on the embodiments of the present invention, are within the scope of the present invention.
The embodiment of the invention provides a lens module, which comprises a lens barrel and an optical system provided by the embodiment of the invention, wherein first to fifth lenses of the optical system are arranged in the lens barrel. The lens module can be an independent lens of a digital camera, and can also be an imaging module integrated on electronic equipment such as a smart phone. By installing each lens of the optical system, the lens module has the characteristics of miniaturization and large-angle shooting.
The embodiment of the invention also provides electronic equipment which comprises a shell, an electronic photosensitive element and the lens module provided by the embodiment of the invention, wherein the lens module and the electronic photosensitive element are arranged in the shell, and the electronic photosensitive element is arranged on an imaging surface of an optical system and is used for converting light rays of objects which penetrate through the first lens to the fifth lens and are incident on the electronic photosensitive element into electric signals of images. The electron sensor may be a Complementary Metal Oxide Semiconductor (CMOS) or a Charge-coupled Device (CCD). The electronic device can be a smart phone, a Personal Digital Assistant (PDA), a tablet computer, a smart watch, an unmanned aerial vehicle, an electronic book reader, a vehicle event data recorder, a wearable device and the like. By arranging the lens module, the electronic equipment can realize light weight, thinness and miniaturization, and can shoot in a large angle.
Embodiments of the present invention provide an optical system including, for example, five lenses, that is, a first lens, a second lens, a third lens, a fourth lens, and a fifth lens, which are disposed in order from an object side to an image side in an optical axis direction. Any adjacent two lenses among the first to fifth lenses may have an air space therebetween.
Specifically, the specific shape and structure of the five lenses are as follows:
the first lens has negative focal power, the object side surface of the first lens at the optical axis is a concave surface, the object side surface at the circumference is a convex surface, and the image side surface of the first lens is a concave surface. The second lens has positive focal power, the object side surface of the second lens is a convex surface, and the image side surface of the second lens is a convex surface. The third lens has negative focal power, and the image side surface of the third lens at the optical axis is a concave surface. The fourth lens has focal power, and the image side surface of the fourth lens at the optical axis is a convex surface. The fifth lens has focal power, the image side surface of the fifth lens at the optical axis is a concave surface, and at least one inflection point is arranged on the image side surface of the fifth lens at the optical axis.
The optical system further comprises a diaphragm, and the diaphragm can be arranged at any position between the first lens and the fifth lens, such as between the first lens and the second lens.
The optical system satisfies the following conditional expression:
1.1< tan ω/SD1< 1.8; where ω is half of the maximum angle of view of the optical system, and SD1 is the maximum effective half aperture of the object-side surface of the first lens. And
1.7< TL/ImgH < 2.2; wherein TL is a distance from an object side surface of the first lens element to an image plane of the optical system on an optical axis, and ImgH is a half of a diagonal length of an effective pixel region of the optical system.
The surface type and focal power of each lens from the first lens to the fifth lens are reasonably set, and the optical system is guaranteed to meet the requirements of miniaturization, high resolution and large visual angle. Meanwhile, the appropriate ratio of tan omega/SD 1 is set, so that the aperture of the first lens is not excessively increased while a wide viewing angle is maintained, and the system miniaturization is facilitated. The appropriate ratio of TL/ImgH is set, so that the total length of the optical system can be compressed, and the ultrathin design can be realized.
If tan omega/SD 1 is less than or equal to 1.1, the aperture of the first lens is enlarged, which results in an enlarged structure of the whole optical system, and if tan omega/SD 1 is more than or equal to 1.8, the aperture of the first lens is excessively compressed, which is not beneficial to the light with large visual angle entering the optical system.
If TL/ImgH is less than or equal to 1.7, the optical system is compressed excessively, the phase difference correction is insufficient, and higher resolving power is difficult to achieve. If TL/ImgH is not less than 2.2, the total length of the optical system becomes long, resulting in a large structure and difficulty in miniaturization.
In one embodiment, the optical system satisfies the following conditional expression: -5< f5/f1< 7; wherein f1 is the effective focal length of the first lens, and f5 is the effective focal length of the fifth lens. The first lens provides negative focal power, so that incident light rays with larger angles can enter the optical system, wide-angle design is facilitated, the focal power of the fifth lens is reasonably configured, system aberration is corrected, image quality is improved, sufficient back focal length can be guaranteed, assembly and matching of the electronic photosensitive element are facilitated, and yield is improved.
In one embodiment, the optical system satisfies the following conditional expression: 0.4< SD1/ImgH < 0.7; SD1 is the maximum effective half aperture of the object-side surface of the first lens; ImgH is half the length of the diagonal of the effective pixel area of the optical system. The optical system has larger caliber to ensure the light flux, and the head of the system can not be excessively enlarged.
In one embodiment, the optical system satisfies the following conditional expression: 0.16< T12/OAL < 0.26; wherein, T12 is the distance on the optical axis from the image-side surface of the first lens element to the object-side surface of the second lens element, and OAL is the distance on the optical axis from the object-side surface of the first lens element to the image-side surface of the fifth lens element. If T12/OAL is less than or equal to 0.16, the distance between the lenses is compressed, the shape of the first lens can not be effectively realized, and the design of wide visual angle is not facilitated, and if T12/OAL is more than or equal to 0.26, the optical system has large clearance, insufficient ultra-thinning and is not conducive to structure miniaturization. The value of T12/OAL is configured reasonably, the maximum field angle of the wide-angle lens group can be effectively increased.
In one embodiment, the optical system satisfies the following conditional expression: -3< R1/R2<0,
wherein R1 is the object-side radius of curvature of the first lens element, and R2 is the image-side radius of curvature of the first lens element. The first lens is arranged in a double-concave shape at the position close to the optical axis, so that the first lens has negative focal power with sufficient strength, and wide angle is realized.
In one embodiment, the optical system satisfies the following conditional expression: -6< R3/R4< -2, wherein R3 is the object side radius of curvature of the second lens and R4 is the image side radius of curvature of the second lens. The second lens is arranged at the position close to the optical axis in a biconvex shape, so that light rays can be converged, and the shortening of the total length is realized.
In one embodiment, the optical system satisfies the following conditional expression: 2< (CT2+ CT3)/CT1< 4; wherein CT1 is the central thickness of the first lens element, CT2 is the central thickness of the second lens element, and CT3 is the central thickness of the third lens element. When the thickness configuration is satisfied, the length of the optical system can be further shortened, the first lens is easier to form, and the cost is reduced.
In one embodiment, the optical system satisfies the following conditional expression: V1/V5 is more than or equal to 1 and less than 2.5; where V1 is the Abbe number of the first lens and V5 is the Abbe number of the fifth lens. When V1/V5 satisfies the above relation, the chromatic aberration of the optical system can be reduced, and the resolution can be improved.
In one embodiment, the optical system satisfies the following conditional expression: -1 < f2/f3< 0; wherein f2 is the effective focal length of the second lens, and f3 is the effective focal length of the third lens. The second lens provides stronger positive focal power, which is beneficial to the ultra-thin design of the optical system, and the third lens provides negative focal power, which can correct the aberration generated by the second lens and improve the resolving power.
First embodiment
Referring to fig. 1a and fig. 1b, the optical system of the present embodiment, in order from an object side to an image side along an optical axis, includes:
a first lens element L1 with negative power, the first lens element L1 having a concave object-side surface S1 at the optical axis, a convex object-side surface S1 at the circumference, and a concave image-side surface S2 of the first lens element L1;
a second lens L2 having positive refractive power, the object-side surface S3 of the second lens L2 being convex, and the image-side surface S4 of the second lens L2 being convex;
a third lens element L3 with negative power, the third lens element L3 having a convex object-side surface S5 at the optical axis, a concave object-side surface S5 at the circumference, and a concave image-side surface S6 of the third lens element L3;
a fourth lens L4 having positive refractive power, the object-side surface S7 of the fourth lens L4 being concave, and the image-side surface S8 of the fourth lens L4 being convex;
a fifth lens L5 having negative power, the fifth lens L5 having a convex object-side surface S9 at the optical axis and a concave object-side surface S9 at the circumference; the fifth lens element L5 has a concave image-side surface S10 at the optical axis and a convex image-side surface S10 at the circumference.
The first lens element L1 to the fifth lens element L5 are all made of Plastic (Plastic).
Further, the optical system includes a stop STO, an infrared cut filter L6, and an image forming surface S13. A stop STO is disposed between the first lens L1 and the second lens L2, and is adjacent to the second lens L2, for controlling the amount of light entering. In other embodiments, the stop STO can be disposed between two other adjacent lenses. The infrared cut filter L6 is disposed on the image side of the fifth lens L5, and includes an object side surface S11 and an image side surface S12, and the infrared cut filter L6 is configured to filter out infrared light, so that the light entering the image plane S13 is visible light, and the wavelength of the visible light is 380nm-780 nm. The material of the infrared cut filter L6 is Glass (Glass), and a film may be coated on the Glass. The image formation surface S13 is an effective pixel region of the electrophotographic photosensitive member.
Table 1a shows a table of characteristics of the optical system of the present embodiment in which data is obtained using light having a wavelength of 555nm, and the units of the Y radius, thickness, and focal length are millimeters (mm).
TABLE 1a
The EFL is an effective focal length of the optical system, the FNO is an f-number of the optical system, the FOV is a field angle of the optical system, and the TL is a distance from an object side surface of the first lens to an imaging surface of the optical system on an optical axis.
In the present embodiment, the object-side surface and the image-side surface of any one of the first lens L1 to the fifth lens L5 are aspheric surfaces, and the surface shape x of each aspheric lens can be defined by, but is not limited to, the following aspheric surface formula:
wherein x is the rise of the distance from the aspheric surface vertex to the aspheric surface vertex when the aspheric surface is at the position with the height of h along the optical axis direction; c is the paraxial curvature of the aspheric surface, c being 1/R (i.e., paraxial curvature c is the inverse of radius R of Y in table 1a above); k is a conic coefficient; ai is the correction coefficient of the i-th order of the aspherical surface. Table 1b shows the results that can be used
The high-order term coefficients A4, A6, A8, A10, A12, A14, A15, A17 and A18 of the respective aspherical mirrors S1-S10 in the first embodiment.
TABLE 1b
Fig. 1b shows a longitudinal spherical aberration curve, an astigmatism curve and a distortion curve of the optical system of the first embodiment. The longitudinal spherical aberration curve represents the deviation of the convergence focus of the light rays with different wavelengths after passing through each lens of the optical system; the astigmatism curves represent meridional image surface curvature and sagittal image surface curvature; the distortion curve represents the distortion magnitude values corresponding to different angles of view. As can be seen from fig. 1b, the optical system according to the first embodiment can achieve good imaging quality.
Second embodiment
Referring to fig. 2a and fig. 2b, the optical system of the present embodiment, in order from an object side to an image side along an optical axis direction, includes:
a first lens element L1 with negative power, the first lens element L1 having a concave object-side surface S1 at the optical axis, a convex object-side surface S1 at the circumference, and a concave image-side surface S2 of the first lens element L1;
a second lens L2 having positive refractive power, the object-side surface S3 of the second lens L2 being convex, and the image-side surface S4 of the third lens L2 being convex;
a third lens L3 having negative power, the object-side surface S5 of the third lens L3 being convex, and the image-side surface S6 of the third lens L3 being concave;
a fourth lens L4 with positive power, the fourth lens L4 having a concave object-side surface S7 at the optical axis, a convex object-side surface S7 at the circumference, and a convex image-side surface S8 of the fourth lens L4;
a fifth lens L5 having positive power, the fifth lens L5 having a convex object-side surface S9 at the optical axis and a concave object-side surface S9 at the circumference; the fifth lens element L5 has a concave image-side surface S10 at the optical axis and a convex image-side surface S10 at the circumference.
Other structures of the second embodiment are the same as those of the first embodiment, and reference may be made thereto.
Table 2a shows a table of characteristics of the optical system of the present embodiment in which data is obtained using light having a wavelength of 587.6nm, and the units of the Y radius, thickness, and focal length are millimeters (mm).
TABLE 2a
Wherein the values of the parameters in Table 2a are the same as those of the first embodiment.
Table 2b gives the high order term coefficients for each aspherical lens that can be used in the second embodiment, wherein each aspherical surface type can be defined by the formula given in the first embodiment.
TABLE 2b
Fig. 2b shows a longitudinal spherical aberration curve, an astigmatism curve and a distortion curve of the optical system of the second embodiment. The longitudinal spherical aberration curve represents the deviation of the convergence focus of the light rays with different wavelengths after passing through each lens of the optical system; the astigmatism curves represent meridional image surface curvature and sagittal image surface curvature; the distortion curve represents the distortion magnitude values corresponding to different angles of view. As can be seen from fig. 2b, the optical system according to the second embodiment can achieve good imaging quality.
Third embodiment
Referring to fig. 3a and 3b, the optical system of the present embodiment, in order from an object side to an image side along an optical axis direction, includes:
a first lens element L1 with negative power, the first lens element L1 having a concave object-side surface S1 at the optical axis, a convex object-side surface S1 at the circumference, and a concave image-side surface S2 of the first lens element L1;
a second lens L2 having positive refractive power, the object-side surface S3 of the second lens L2 being convex, and the image-side surface S4 of the third lens L2 being convex;
a third lens L3 having negative power, the object-side surface S5 of the third lens L3 being concave, the image-side surface S6 of the third lens L3 at the optical axis being concave, and the image-side surface S6 at the circumference being convex;
a fourth lens L4 having positive refractive power, the object-side surface S7 of the fourth lens L4 being concave, and the image-side surface S8 of the fourth lens L4 being convex;
a fifth lens L5 having negative power, the fifth lens L5 having a convex object-side surface S9 at the optical axis and a concave object-side surface S9 at the circumference; the fifth lens element L5 has a concave image-side surface S10 at the optical axis and a convex image-side surface S10 at the circumference.
Other structures of the third embodiment are the same as those of the first embodiment, and reference may be made thereto.
Table 3a shows a table of characteristics of the optical system of the present embodiment in which data is obtained using light having a wavelength of 587.6nm, and the units of the Y radius, thickness, and focal length are millimeters (mm).
TABLE 3a
Wherein the values of the parameters in Table 3a are the same as those of the first embodiment.
Table 3b gives the high order term coefficients for each aspherical lens that can be used in the third embodiment, wherein each aspherical surface type can be defined by the formula given in the first embodiment.
TABLE 3b
Fig. 3b shows a longitudinal spherical aberration curve, an astigmatism curve and a distortion curve of the optical system of the third embodiment. The longitudinal spherical aberration curve represents the deviation of the convergence focus of the light rays with different wavelengths after passing through each lens of the optical system; the astigmatism curves represent meridional image surface curvature and sagittal image surface curvature; the distortion curve represents the distortion magnitude values corresponding to different angles of view. As can be seen from fig. 3b, the optical system according to the third embodiment can achieve good imaging quality.
Fourth embodiment
Referring to fig. 4a and 4b, the optical system of the present embodiment, in order from an object side to an image side along an optical axis direction, includes:
a first lens element L1 with negative power, the first lens element L1 having a concave object-side surface S1 at the optical axis, a convex object-side surface S1 at the circumference, and a concave image-side surface S2 of the first lens element L1;
a second lens L2 having positive refractive power, the object-side surface S3 of the second lens L2 being convex, and the image-side surface S4 of the third lens L2 being convex;
a third lens L3 having a negative refractive power, the object-side surface S5 of the third lens L3 being concave, and the image-side surface S6 of the third lens L3 being concave;
a fourth lens L4 having positive refractive power, the object-side surface S7 of the fourth lens L4 being convex, and the image-side surface S8 of the fourth lens L4 being convex;
a fifth lens L5 having negative power, the object-side surface S9 of the fifth lens L5 being concave; the fifth lens element L5 has a concave image-side surface S10 at the optical axis and a convex image-side surface S10 at the circumference.
Other structures of the fourth embodiment are the same as those of the first embodiment, and reference may be made thereto.
Table 4a shows a table of characteristics of the optical system of the present embodiment in which data is obtained using light having a wavelength of 555nm, and the units of the Y radius, thickness, and focal length are millimeters (mm).
TABLE 4a
Wherein the values of the parameters in Table 4a are the same as those of the first embodiment.
Table 4b gives the high order term coefficients for each aspherical lens that can be used in the fourth embodiment, wherein each aspherical surface type can be defined by the formula given in the first embodiment.
TABLE 4b
Fig. 4b shows a longitudinal spherical aberration curve, an astigmatism curve and a distortion curve of the optical system of the fourth embodiment. The longitudinal spherical aberration curve represents the deviation of the convergence focus of the light rays with different wavelengths after passing through each lens of the optical system; the astigmatism curves represent meridional image surface curvature and sagittal image surface curvature; the distortion curve represents the distortion magnitude values corresponding to different angles of view. As can be seen from fig. 4b, the optical system according to the fourth embodiment can achieve good imaging quality.
Fifth embodiment
Referring to fig. 5a and 5b, the optical system of the present embodiment, in order from an object side to an image side along an optical axis direction, includes:
a first lens element L1 with negative power, the first lens element L1 having a concave object-side surface S1 at the optical axis, a convex object-side surface S1 at the circumference, and a concave image-side surface S2 of the first lens element L1;
a second lens L2 having positive refractive power, the object-side surface S3 of the second lens L2 being convex, and the image-side surface S4 of the third lens L2 being convex;
a third lens L3 having a negative refractive power, the object-side surface S5 of the third lens L3 being concave, and the image-side surface S6 of the third lens L3 being concave;
a fourth lens L4 with positive power, the fourth lens L4 having a concave object-side surface S7 at the optical axis, a convex object-side surface S7 at the circumference, and a convex image-side surface S8 of the fourth lens L4;
a fifth lens L5 having negative power, the fifth lens L5 having a convex object-side surface S9 at the optical axis and a concave object-side surface S9 at the circumference; the fifth lens element L5 has a concave image-side surface S10 at the optical axis and a convex image-side surface S10 at the circumference.
The other structure of the fifth embodiment is the same as that of the first embodiment, and reference may be made thereto.
Table 5a shows a table of characteristics of the optical system of the present embodiment, in which data is obtained using light having a wavelength of 587.6nm, and the units of the Y radius, thickness, and focal length are millimeters (mm).
TABLE 5a
Wherein the meanings of the parameters in Table 5a are the same as those of the first embodiment. Table 5b gives the high order term coefficients that can be used for each aspherical lens of the fifth embodiment, wherein each aspherical surface type can be defined by the formula given in the first embodiment.
TABLE 5b
Fig. 5b shows a longitudinal spherical aberration curve, an astigmatism curve and a distortion curve of the optical system of the fifth embodiment. The longitudinal spherical aberration curve represents the deviation of the convergence focus of the light rays with different wavelengths after passing through each lens of the optical system; the astigmatism curves represent meridional image surface curvature and sagittal image surface curvature; the distortion curve represents the distortion magnitude values corresponding to different angles of view. As can be seen from fig. 5b, the optical system according to the fifth embodiment can achieve good image quality.
Sixth embodiment
Referring to fig. 6a and 6b, the optical system of the present embodiment, in order from an object side to an image side along an optical axis direction, includes:
a first lens element L1 with negative power, the first lens element L1 having a concave object-side surface S1 at the optical axis, a convex object-side surface S1 at the circumference, and a concave image-side surface S2 of the first lens element L1;
a second lens L2 having positive refractive power, the object-side surface S3 of the second lens L2 being convex, and the image-side surface S4 of the third lens L2 being convex;
a third lens element L3 with negative power, the third lens element L3 having a convex object-side surface S5 at the optical axis, a concave object-side surface S5 at the circumference, and a concave image-side surface S6 of the third lens element L3;
a fourth lens L4 having negative power, the object-side surface S7 of the fourth lens L4 being concave, and the image-side surface S8 of the fourth lens L4 being convex;
a fifth lens L5 having positive power, the fifth lens L5 having a convex object-side surface S9 at the optical axis and a concave object-side surface S9 at the circumference; the fifth lens element L5 has a concave image-side surface S10 at the optical axis and a convex image-side surface S10 at the circumference.
Other structures of the sixth embodiment are the same as those of the first embodiment, and reference may be made thereto.
Table 6a shows a table of characteristics of the optical system of the present embodiment, in which data is obtained using light having a wavelength of 587.6nm, and the units of the Y radius, thickness, and focal length are millimeters (mm).
TABLE 6a
Wherein the values of the parameters in Table 6a are the same as those of the first embodiment. Table 6b shows the high-order term coefficients of each aspherical lens usable in the sixth embodiment, wherein each aspherical surface type can be defined by the formula given in the first embodiment.
TABLE 6b
Fig. 6b shows a longitudinal spherical aberration curve, an astigmatism curve and a distortion curve of the optical system of the sixth embodiment. The longitudinal spherical aberration curve represents the deviation of the convergence focus of the light rays with different wavelengths after passing through each lens of the optical system; the astigmatism curves represent meridional image surface curvature and sagittal image surface curvature; the distortion curve represents the distortion magnitude values corresponding to different angles of view. As can be seen from fig. 6b, the optical system according to the sixth embodiment can achieve good image quality.
Seventh embodiment
Referring to fig. 7a and 7b, the optical system of the present embodiment, in order from an object side to an image side along an optical axis direction, includes:
a first lens element L1 with negative power, the first lens element L1 having a concave object-side surface S1 at the optical axis, a convex object-side surface S1 at the circumference, and a concave image-side surface S2 of the first lens element L1;
a second lens L2 having positive refractive power, the object-side surface S3 of the second lens L2 being convex, and the image-side surface S4 of the third lens L2 being convex;
a third lens element L3 with negative power, the third lens element L3 having a convex object-side surface S5 at the optical axis, a concave object-side surface S5 at the circumference, and a concave image-side surface S6 of the third lens element L3;
a fourth lens L4 with positive power, the object-side surface S7 of the fourth lens L4 being convex, the image-side surface S8 of the fourth lens L4 at the optical axis being convex, and the image-side surface S8 at the circumference being concave;
a fifth lens L5 having negative power, the fifth lens L5 having a convex object-side surface S9 at the optical axis and a concave object-side surface S9 at the circumference; the fifth lens element L5 has a concave image-side surface S10 at the optical axis and a convex image-side surface S10 at the circumference.
The other structure of the seventh embodiment is the same as that of the first embodiment, and reference may be made thereto.
Table 7a shows a table of characteristics of the optical system of the present embodiment, in which data is obtained using light having a wavelength of 587.6nm, and the units of the Y radius, thickness, and focal length are millimeters (mm).
TABLE 7a
Wherein the meanings of the parameters in Table 7a are the same as those of the first embodiment. Table 7b shows the high-order term coefficients that can be used for each aspherical lens of the seventh embodiment, wherein each aspherical surface type can be defined by the formula given in the first embodiment.
TABLE 7b
Fig. 7b shows a longitudinal spherical aberration curve, an astigmatism curve, and a distortion curve of the optical system of the seventh embodiment. The longitudinal spherical aberration curve represents the deviation of the convergence focus of the light rays with different wavelengths after passing through each lens of the optical system; the astigmatism curves represent meridional image surface curvature and sagittal image surface curvature; the distortion curve represents the distortion magnitude values corresponding to different angles of view. As can be seen from fig. 7b, the optical system according to the seventh embodiment can achieve good image quality.
Table 8 shows values of TL/ImgH, tan ω/SD1, f5/f1, SD1/ImgH, T12/OAL, R1/R2, R3/R4, (CT2+ CT3)/CT1, V1/V5, and f2/f3 of the optical systems of the first to seventh embodiments. As can be seen from table 8, each example satisfies the conditions: 1.7< TL/ImgH <2.2, 1.1< tan ω/SD1<1.8, -5< f5/f1<7, 0.4< SD1/ImgH <0.7, 0.16< T12/OAL <0.26, -3< R1/R2<0, -6< R3/R4< -2, 2< (CT2+ CT3)/CT1<4, 1 ≦ V1/V5 < 2.5, and-1 < f2/f3< 0.
TABLE 8
|
1.7<TL/ImgH<2.2
|
1.1<tanω/SD1<1.8
|
-5<f5/f1<7
|
0.4<SD1/ImgH<0.7
|
0.16<T12/OAL<0.26
|
First embodiment
|
1.746
|
1.783
|
1.487
|
0.500
|
0.183
|
Second embodiment
|
2.063
|
1.252
|
-4.027
|
0.549
|
0.248
|
Third embodiment
|
2.056
|
1.430
|
1.413
|
0.492
|
0.185
|
Fourth embodiment
|
2.181
|
1.155
|
0.469
|
0.646
|
0.255
|
Fifth embodiment
|
1.774
|
1.488
|
1.216
|
0.481
|
0.167
|
Sixth embodiment
|
1.815
|
1.575
|
-3.131
|
0.499
|
0.176
|
Seventh embodiment
|
1.782
|
1.375
|
6.489
|
0.494
|
0.199
|
|
-3<R1/R2<0
|
-6<R3/R4<-2
|
2<(CT2+CT3)/CT1<4
|
1≤V1/V5<2.5
|
-1<f2/f3<0
|
First embodiment
|
-0.492
|
-3.347
|
2.975
|
2.385
|
-0.305
|
Second embodiment
|
-1.668
|
-3.635
|
3.254
|
2.359
|
-0.364
|
Third embodiment
|
-0.495
|
-4.394
|
3.711
|
1.000
|
-0.537
|
Fourth embodiment
|
-2.814
|
-2.814
|
3.061
|
2.359
|
-0.460
|
Fifth embodiment
|
-0.261
|
-4.057
|
3.279
|
2.359
|
-0.521
|
Sixth embodiment
|
-0.481
|
-5.672
|
2.827
|
2.447
|
-0.237
|
Seventh embodiment
|
-0.372
|
-3.366
|
3.107
|
2.359
|
-0.399 |
While the invention has been described with reference to a preferred embodiment, it will be understood by those skilled in the art that various changes in form and details may be made therein without departing from the spirit and scope of the invention as defined by the appended claims.