具体实施方式Detailed ways
现在将详细描述本公开的实施例并且实施例的示例将在附图中示出。在整个说明书中,相同或相似的元件以及具有相同或类似功能的元件由相同的附图标记表示。本公开中参考附图描述的实施例是说明性的,旨在对本公开进行解释,并不应被解释为限制本公开。Embodiments of the present disclosure will now be described in detail and examples of the embodiments will be illustrated in the accompanying drawings. Throughout the specification, the same or similar elements and elements having the same or similar functions are denoted by the same reference numerals. The embodiments described in the present disclosure with reference to the figures are illustrative and intended to explain the present disclosure and should not be construed to limit the present disclosure.
【公开概要】【Disclosure Summary】
首先,将描述本公开的概要。本公开中应用的相机模块被配置为如图1、图3、图5、图7和图9所示。图中,点划线表示相机模块的光轴。First, the outline of the present disclosure will be described. The camera module applied in the present disclosure is configured as shown in FIGS. 1 , 3 , 5 , 7 and 9 . In the figure, the dashed-dotted line represents the optical axis of the camera module.
相机模块11包括成像镜头21、光学滤光片22和图像传感器23。The camera module 11 includes an imaging lens 21 , an optical filter 22 and an image sensor 23 .
成像镜头21,例如,是具有100度或大于100度角的超广角镜头。成像镜头21包括前组光学系统31和后组光学系统32。前组光学系统31是位置固定在相机模块11的外壳中的光学系统。后组光学系统32是可以通过相机模块11的外壳中的致动器在光轴方向上移动的光学系统。后组光学系统32可用于将成像镜头21聚焦在对象上的聚焦操作。The imaging lens 21 is, for example, an ultra-wide-angle lens having an angle of 100 degrees or more. The imaging lens 21 includes a front-group optical system 31 and a rear-group optical system 32 . The front-group optical system 31 is an optical system whose position is fixed in the housing of the camera module 11 . The rear-group optical system 32 is an optical system that can be moved in the optical axis direction by an actuator in the housing of the camera module 11 . The rear optical system 32 can be used for a focusing operation in which the imaging lens 21 is focused on a subject.
在成像镜头21中,前组光学系统31和后组光学系统32从物体侧向成像表面S侧依次配置。In the imaging lens 21, the front group optical system 31 and the rear group optical system 32 are sequentially arranged from the object side to the imaging surface S side.
前组光学系统31包括具有负折光力的至少一个透镜以及具有正折光力的至少一个透镜。后组光学系统32包括孔径光阑4以及具有负折光力的至少一个透镜。即,孔径光阑4设置在后组光学系统32中,并且可以通过聚焦操作与后组光学系统32中的透镜一起在光轴方向上移动。The front-group optical system 31 includes at least one lens having negative refractive power and at least one lens having positive refractive power. The rear group optical system 32 includes the aperture stop 4 and at least one lens having negative refractive power. That is, the aperture stop 4 is provided in the rear-group optical system 32, and can be moved in the optical axis direction together with the lenses in the rear-group optical system 32 by a focusing operation.
图像传感器23,例如,是诸如互补金属氧化物半导体(CMOS)或电荷耦合器件(CCD)的固态图像传感器。图像传感器23具有成像表面S,该成像表面S是成像镜头21的成像面。图像传感器23接收经由成像镜头21和滤光器22从对象(物体侧)入射的光,对光进行光电转换,并将光的光电转换得到的图像数据输出到后续阶段。The image sensor 23 is, for example, a solid-state image sensor such as a Complementary Metal Oxide Semiconductor (CMOS) or a Charge Coupled Device (CCD). The image sensor 23 has an imaging surface S, which is an imaging surface of the imaging lens 21 . The image sensor 23 receives light incident from an object (object side) via the imaging lens 21 and the filter 22, photoelectrically converts the light, and outputs image data obtained by photoelectric conversion of the light to a subsequent stage.
为了获得具有良好光学性能的成像镜头的小型相机模块,优选的是,例如,适当校正成像镜头的色差并缩短成像镜头的后焦距。In order to obtain a compact camera module of an imaging lens having good optical performance, it is preferable, for example, to properly correct the chromatic aberration of the imaging lens and shorten the back focal length of the imaging lens.
因此,在相机模块11中,前组光学系统31包括具有负折光力的至少一个透镜和具有正折光力的至少一个透镜,后组光学系统32包括具有负折光力的至少一个透镜,后组光学系统32中位于最靠近成像表面S侧的透镜在成像表面S侧的表面上具有存在拐点的非球面形状。Therefore, in the camera module 11, the front-group optical system 31 includes at least one lens with negative refractive power and at least one lens with positive refractive power, the rear-group optical system 32 includes at least one lens with negative refractive power, and the rear-group optical system includes at least one lens with negative refractive power and at least one lens with positive refractive power. The lens on the side closest to the imaging surface S in the system 32 has an aspherical shape with an inflection point on the surface on the imaging surface S side.
如上所述,由于前组光学系统31包括具有负折光力的至少一个透镜和具有正折光力的至少一个透镜,因此可以适当地校正色差,并且获得良好的光学性能。此外,光可以被急剧折射,并且即使当视角较宽时,总光学长度也可以缩短。As described above, since the front group optical system 31 includes at least one lens having negative refractive power and at least one lens having positive refractive power, chromatic aberration can be properly corrected and good optical performance can be obtained. Furthermore, light can be sharply refracted, and the total optical length can be shortened even when the viewing angle is wide.
此外,在相机模块11中,由于后组光学系统32包括具有负折光力的至少一个透镜,并且位于后组光学系统32中最靠近成像表面S侧的透镜在成像表面S侧的表面上具有存在拐点的非球面形状,因此可以使后组光学系统32的一部分具有大的负折光力以缩短成像镜头21的后焦距。特别地,如果位于后组光学系统32中的最靠近成像表面S侧的透镜具有负折光力,即在光轴附近具有负光焦度,则适合于缩短后焦距。Further, in the camera module 11, since the rear group optical system 32 includes at least one lens having negative refractive power, and the lens located on the side closest to the imaging surface S in the rear group optical system 32 has a presence on the surface on the imaging surface S side The aspherical shape of the inflection point makes it possible to make a part of the rear optical system 32 have a large negative refractive power to shorten the back focus of the imaging lens 21 . In particular, if the lens located on the side closest to the imaging surface S in the rear group optical system 32 has a negative refractive power, that is, a negative refractive power in the vicinity of the optical axis, it is suitable to shorten the back focus.
此外,位于该后组光学系统32中最靠近成像表面S侧的透镜在成像表面S侧的表面上具有在透镜边缘附近存在拐点的非球面形状。具体地说,位于后组光学系统32中最靠近成像表面S侧的透镜的在成像表面S的侧的表面在透镜中心(即光轴附近)呈凹状,而在周边部(即外周部附近)呈凸状。Further, the lens located on the side closest to the imaging surface S in this rear group optical system 32 has an aspherical shape having an inflection point near the lens edge on the surface on the imaging surface S side. Specifically, the surface on the side of the imaging surface S of the lens located on the side closest to the imaging surface S in the rear group optical system 32 is concave at the center of the lens (ie, near the optical axis), and is concave at the peripheral portion (ie, near the outer peripheral portion) Convex.
在前组光学系统31中,位于最靠近物体侧的透镜是起到透镜保护滤镜的作用的透镜。例如,可以通过将透明盖制成透镜形状来实现这种透镜,该透明盖在光轴上位于相机模块11的外壳上,以覆盖外壳的内部。In the front-group optical system 31, the lens positioned closest to the object side is a lens that functions as a lens protection filter. Such a lens can be realized, for example, by making a transparent cover in the shape of a lens, which is located on the housing of the camera module 11 on the optical axis, so as to cover the inside of the housing.
这里,在成像镜头的物体侧设置有玻璃罩(即透明罩)的传统的相机模块中,可能会发生“渐晕”,在渐晕中,来自物体的以大入射角入射到成像透镜的外围侧的光被玻璃罩或镜筒阻挡。因此,在传统的相机模块中,已经很难实现足够地广角。相反,根据本公开的相机模块11,通过包括用作透镜保护滤镜的透镜而不是传统的玻璃罩,可实现充分抑制“渐晕”的足够地广角镜头。此外,相机模块11通过满足以下公式(1),在保持成像镜头21的良好光学性能的同时使得成像镜头21小型化。Here, in a conventional camera module in which a glass cover (ie, a transparent cover) is provided on the object side of the imaging lens, "vignetting" may occur, in which light from the object is incident on the periphery of the imaging lens at a large angle of incidence The light from the side is blocked by the glass cover or the lens barrel. Therefore, in conventional camera modules, it has been difficult to achieve a sufficiently wide angle. In contrast, according to the camera module 11 of the present disclosure, by including a lens serving as a lens protection filter instead of a conventional glass cover, a sufficiently wide-angle lens that sufficiently suppresses "vignetting" can be realized. Furthermore, the camera module 11 miniaturizes the imaging lens 21 while maintaining good optical performance of the imaging lens 21 by satisfying the following formula (1).
0.5<(r11+r12)/(r11-r12)<2.5,0.5<(r11+r12)/(r11-r12)<2.5,
在公式(1)中,r11是位于前组光学系统31中最靠近物体侧的透镜的物体侧表面的中心曲率半径,r12是位于前组光学系统31中最靠近物体侧的透镜的成像表面S侧表面的中心曲率半径。In formula (1), r11 is the center curvature radius of the object-side surface of the lens located closest to the object side in the front group optical system 31 , and r12 is the imaging surface S of the lens located closest to the object side in the front group optical system 31 The radius of curvature of the center of the side surface.
随着公式(1)所示的比率减小,可以更可靠地使成像镜头21小型化同时保持成像镜头21的良好光学性能。As the ratio shown in the formula (1) decreases, the imaging lens 21 can be more reliably miniaturized while maintaining good optical performance of the imaging lens 21 .
此外,当相机模块11满足以下公式(2)时,成像镜头21可以进一步小型化。Furthermore, when the camera module 11 satisfies the following formula (2), the imaging lens 21 can be further miniaturized.
Σd/f<8.0 (2)Σd/f<8.0 (2)
在公式(2)中,∑d是成像镜头21的全长,即,从位于最靠近物体侧的透镜的物体侧表面的顶点到成像表面S的光轴上的距离;f是整个光学系统的焦距(下文同样适用)。In formula (2), Σd is the full length of the imaging lens 21, that is, the distance on the optical axis from the vertex of the object-side surface of the lens located closest to the object side to the imaging surface S; f is the total length of the optical system Focal length (the same applies below).
随着公式(2)中所示的全长Σd与焦距f的比率减小,成像镜头21变得更小。特别地,当全长Σd与焦距f的比率小于8时,可以获得足够小的成像镜头21。As the ratio of the full length Σd to the focal length f shown in the formula (2) decreases, the imaging lens 21 becomes smaller. In particular, when the ratio of the full length Σd to the focal length f is less than 8, a sufficiently small imaging lens 21 can be obtained.
例如,如果焦距f是固定值,则成像镜头21的全长Σd随着全长Σd与焦距f的比率变小而变短。此外,如果缩短成像镜头21的后焦距,则成像镜头21的全长Σd相应地缩短。For example, if the focal length f is a fixed value, the overall length Σd of the imaging lens 21 becomes shorter as the ratio of the overall length Σd to the focal length f becomes smaller. Further, if the back focal length of the imaging lens 21 is shortened, the overall length Σd of the imaging lens 21 is shortened accordingly.
更优选地,全长∑d与焦距f的比率满足下面的公式(2)’More preferably, the ratio of the full length Σd to the focal length f satisfies the following formula (2)'
Σd/f<7.0 (2)’Σd/f<7.0 (2)’
此外,当相机模块11满足以下公式(3)时,成像镜头21可以更可靠地小型化并且可以保持良好的光学性能。Furthermore, when the camera module 11 satisfies the following formula (3), the imaging lens 21 can be more reliably miniaturized and good optical performance can be maintained.
0.5<fs/f<13 (3)0.5<fs/f<13 (3)
在公式(3)中,fs是后组光学系统32的合成焦距(下文同样适用)。In the formula (3), fs is the combined focal length of the rear group optical system 32 (the same applies hereinafter).
如果fs/f的值低于公式(3)的下限值(即0.5),则后组光学系统32的偏心误差的灵敏度变得非常高,制造难度变高。另一方面,如果fs/f的值超过公式(3)的上限值(即13),则球差被过度校正并难以维持光学性能。If the value of fs/f is lower than the lower limit value (ie, 0.5) of the formula (3), the sensitivity of the eccentricity error of the rear group optical system 32 becomes very high, and the manufacturing difficulty becomes high. On the other hand, if the value of fs/f exceeds the upper limit value of formula (3) (ie, 13), spherical aberration is overcorrected and it is difficult to maintain optical performance.
此外,考虑到透镜成型,优选地,成像镜头21中的非球面透镜,特别是具有拐点的非球面形状的非球面透镜由塑料材料(玻璃材料)制成。此外,构成成像镜头21的透镜中,具有等于或小于特定尺寸的透镜可以是由塑料材料制成的透镜,大于特定尺寸的透镜可以是由玻璃材料制成的透镜,这是因为使用不同于塑料的玻璃材料难以形成非球面透镜或较小的透镜。Furthermore, in consideration of lens molding, it is preferable that the aspherical lens in the imaging lens 21, particularly the aspherical lens having an aspherical shape having an inflection point, is made of a plastic material (glass material). In addition, among the lenses constituting the imaging lens 21, a lens having a size equal to or smaller than a certain size may be a lens made of a plastic material, and a lens larger than a certain size may be a lens made of a glass material, since a lens different from a plastic material is used. The glass material is difficult to form aspherical or smaller lenses.
如果满足上述条件,则即使在视角为100度或更大时,也可以获得具有小尺寸和充分光学性能的成像镜头21。If the above conditions are satisfied, the imaging lens 21 having a small size and sufficient optical performance can be obtained even when the viewing angle is 100 degrees or more.
特别地,位于后组光学系统32中的最靠近成像表面S侧的透镜在成像表面S侧的表面上具有存在拐点的非球面形状,同时平衡了前组光学系统31和后组光学系统32之间的色差。因此,可以进一步缩短后焦距,并且能够获得具有小尺寸和良好光学性能的成像镜头21。In particular, the lens located on the side closest to the imaging surface S in the rear group optical system 32 has an aspherical shape with an inflection point on the surface on the imaging surface S side, while balancing the difference between the front group optical system 31 and the rear group optical system 32 color difference between. Therefore, the back focal length can be further shortened, and the imaging lens 21 having a small size and good optical performance can be obtained.
这种包括成像镜头21的相机模块11适用于小型数字设备(成像设备),例如移动电话、可穿戴相机以及监控相机。Such a camera module 11 including an imaging lens 21 is suitable for small digital devices (imaging devices) such as mobile phones, wearable cameras, and surveillance cameras.
<相机模块的配置示例><Configuration example of camera module>
接下来,将描述应用本公开的实施例的更具体的示例。在以下示例中,“Si”表示从物体侧向成像表面S侧顺序增加的第i个表面的序数。相应表面的光学元件与相应的表面编号“Si”一起示出。“第一表面”或“第1表面”的标记表示透镜的物体侧的表面,“第二表面”或“第2表面”表示透镜的成像表面S侧的表面。“Ri”表示第i个表面的中心曲率半径值(mm)。在“Ri”中,“E+i”表示以10为底的指数表达式,即“10i”。例如,“1.00E+18”表示“1.00×1018”。这种指数表达式也适用于随后描述的非球面系数。“Di”表示第i个表面和第(i+1)个表面之间的光轴上的距离(mm)的值,“Ndi”表示具有第i个表面的光学元件的材料在d线(波长587.6nm)的折射率值,“νdi”表示具有第i个表面的光学元件的材料在d线的阿贝数的值,“Fno”表示F数,“2ω”表示视角。Next, a more specific example to which the embodiment of the present disclosure is applied will be described. In the following examples, "Si" represents the ordinal number of the i-th surface sequentially increasing from the object side to the imaging surface S side. The optical elements of the corresponding surfaces are shown with the corresponding surface number "Si". The symbol "first surface" or "first surface" represents the surface on the object side of the lens, and "second surface" or "second surface" represents the surface on the imaging surface S side of the lens. "Ri" represents the center radius of curvature (mm) of the i-th surface. In "Ri", "E+i" represents a base 10 exponential expression, that is, "10 i ". For example, "1.00E+18" means "1.00×10 18 ". This exponential expression also applies to the aspheric coefficients described later. "Di" represents the value of the distance (mm) on the optical axis between the ith surface and the (i+1)th surface, and "Ndi" represents the material of the optical element with the ith surface at the d-line (wavelength 587.6 nm), "νdi" represents the value of the Abbe number at the d-line of the material of the optical element having the i-th surface, "Fno" represents the F number, and "2ω" represents the viewing angle.
在以下示例中使用的成像镜头21包括具有非球面表面的透镜。透镜的非球面形状由下面的公式(4)定义。The imaging lens 21 used in the following example includes a lens having an aspherical surface. The aspherical shape of the lens is defined by the following formula (4).
Z=C·h2/{1+(1-K·C2·h2)1/2}+ΣAn·hn (4)Z=C·h 2 /{1+(1-K·C 2 ·h 2 ) 1/2 }+ΣAn·h n (4)
(n=大于3的整数)(n=integer greater than 3)
在公式(4)中,Z为非球面表面的深度,C是等于1/R的近轴曲率,h是光轴到透镜表面的距离,K为偏心率(二阶非球面系数),并且An是n次非球面系数。In equation (4), Z is the depth of the aspheric surface, C is the paraxial curvature equal to 1/R, h is the distance from the optical axis to the lens surface, K is the eccentricity (second-order aspheric coefficient), and An is the nth degree aspheric coefficient.
【第一示例】【First example】
将描述将特定数值应用于图1所示的相机模块11的第一示例。A first example of applying specific numerical values to the camera module 11 shown in FIG. 1 will be described.
在第一示例中,前组光学系统31按照从物体侧朝向成像表面S侧的顺序包括第一透镜L1和第二透镜L2,该第一透镜L1具有负折光力且凹面面向成像表面S侧,该第二透镜L2具有正折光力且凸面面向物体侧。后组光学系统32按照从物体侧朝向成像表面S侧的顺序包括:具有正折光力且凸面面向物体侧和成像表面S侧的第三透镜L3、具有负折光力且凹面面向物体侧和成像表面S侧的第四透镜L4、具有正折光力且凸面面向成像表面S侧的第五透镜L5、具有正折光力且凸面面向成像表面S侧的第六透镜L6、具有负折光力且凹面面向成像表面S侧的第七透镜。在后组光学系统32中,孔径光阑4相对于第三透镜L3的第一表面的顶点配置在成像表面S侧且相对于第三透镜L3的第二表面配置在物体侧。In the first example, the front group optical system 31 includes a first lens L1 having a negative refractive power and a concave surface facing the imaging surface S side, and a second lens L2 in this order from the object side toward the imaging surface S side, The second lens L2 has positive refractive power and has a convex surface facing the object side. The rear group optical system 32 includes, in order from the object side toward the imaging surface S side: a third lens L3 having a positive refractive power and a convex surface facing the object side and the imaging surface S side, a third lens L3 having a negative refractive power and a concave surface facing the object side and the imaging surface Fourth lens L4 on the S side, fifth lens L5 with positive refractive power and convex surface facing imaging surface S side, sixth lens L6 with positive refractive power and convex surface facing imaging surface S side, negative refractive power and concave surface facing imaging The seventh lens on the surface S side. In the rear group optical system 32, the apex of the aperture stop 4 is arranged on the imaging surface S side with respect to the first surface of the third lens L3 and is arranged on the object side with respect to the second surface of the third lens L3.
表1示出第一示例的透镜数据,表2示出透镜的折光力,表3示出了整个系统的焦距f、F数Fno、视角2ω、全长、以及后组光学系统32的合成焦距:fs、(r11+r12)/(r11-r12)、∑d/f和fs/f,表4示出了成像镜头21的非球面系数的值。Table 1 shows the lens data of the first example, Table 2 shows the refractive power of the lens, and Table 3 shows the focal length f of the entire system, the F-number Fno, the angle of view 2ω, the total length, and the composite focal length of the rear optical system 32 : fs, (r11+r12)/(r11-r12), Σd/f, and fs/f, Table 4 shows the values of the aspheric coefficients of the imaging lens 21 .
表1Table 1
SiSi
RiRi
DiDi
NdNd
vdvd
1(虚拟表面)1 (virtual surface)
1.00E+101.00E+10
2(L1第一表面)2 (L1 first surface)
1.00E+181.00E+18
0.81000.8100
1.51681.5168
64.1764.17
3(L1第二表面)3 (L1 second surface)
1.39571.3957
0.73850.7385
4(L2第一表面)4 (L2 first surface)
3.66333.6633
1.03281.0328
1.63491.6349
23.9623.96
5(L2第二表面)5 (L2 second surface)
34.363334.3633
0.57360.5736
6(孔径光阑)6 (Aperture diaphragm)
1.00E+181.00E+18
-0.0100-0.0100
7(L3第一表面)7 (L3 first surface)
2.47102.4710
0.93380.9338
1.54321.5432
56.0056.00
8(L3第二表面)8 (L3 second surface)
-1.5661-1.5661
0.05000.0500
9(L4第一表面)9 (L4 first surface)
-4.7636-4.7636
0.40000.4000
1.63491.6349
23.9623.96
10(L4第二表面)10 (L4 second surface)
3.14433.1443
0.15520.1552
11(L5第一表面)11 (L5 first surface)
10.861510.8615
0.76880.7688
1.54321.5432
56.0056.00
12(L5第二表面)12 (L5 second surface)
-2.6963-2.6963
0.16280.1628
13(L6第一表面)13 (L6 first surface)
-1.9168-1.9168
0.78390.7839
1.54321.5432
56.0056.00
14(L6第二表面)14 (L6 second surface)
-0.7828-0.7828
0.05350.0535
15(L7第一表面)15 (L7 first surface)
2.24852.2485
0.44510.4451
1.63491.6349
23.9623.96
16(L7第二表面)16 (L7 second surface)
0.73580.7358
0.53620.5362
17(滤光片)17 (filter)
1.00E+181.00E+18
0.21000.2100
1.51681.5168
64.1764.17
18(成像面)18 (imaging plane)
0.35580.3558
表2Table 2
透镜lens
折光力Refractive power
L1L1
负burden
L2L2
正just
L3L3
正just
L4L4
负burden
L5L5
正just
L6L6
正just
L7L7
负burden
表3table 3
ff
1.76331.7633
FnoFno
2.40962.4096
2ω2ω
134.5134.5
全长full length
8.00008.0000
fsfs
2.14992.1499
(r11+r12)/(r11-r12)(r11+r12)/(r11-r12)
1.00001.0000
∑d/f∑d/f
4.53694.5369
fs/ffs/f
1.21921.2192
表4Table 4
S2S2
S3S3
S4S4
KK
0.000000000000000E+000.000000000000000E+00
-1.012501537660640E+00-1.012501537660640E+00
1.203393953043420E+001.203393953043420E+00
A3A3
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A4A4
0.000000000000000E+000.000000000000000E+00
-1.191809661148940E-04-1.191809661148940E-04
9.194115328094040E-039.194115328094040E-03
A5A5
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A6A6
0.000000000000000E+000.000000000000000E+00
-1.710298521836980E-03-1.710298521836980E-03
6.628229388505000E-036.628229388505000E-03
A7A7
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A8A8
0.000000000000000E+000.000000000000000E+00
-3.614183486638790E-04-3.614183486638790E-04
-7.144379659603080E-04-7.144379659603080E-04
A9A9
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A10A10
0.000000000000000E+000.000000000000000E+00
5.864051093151640E-055.864051093151640E-05
5.788753364429910E-045.788753364429910E-04
A11A11
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A12A12
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A13A13
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A14A14
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A15A15
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A16A16
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A17A17
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A18A18
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A19A19
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A20A20
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
S5S5
S7S7
S8S8
KK
1.000000000000000E+011.000000000000000E+01
2.439128869964770E+002.439128869964770E+00
1.800512114568970E+001.800512114568970E+00
A3A3
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A4A4
7.788734065215300E-027.788734065215300E-02
1.676160386925670E-021.676160386925670E-02
1.500707416392360E-021.500707416392360E-02
A5A5
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A6A6
8.441841482710490E-038.441841482710490E-03
-6.775748684994800E-02-6.775748684994800E-02
1.293193718606950E-031.293193718606950E-03
A7A7
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A8A8
1.210329809815730E-021.210329809815730E-02
7.367534493416550E-027.367534493416550E-02
-1.845550221189860E-02-1.845550221189860E-02
A9A9
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A10A10
8.335233446088110E-038.335233446088110E-03
-3.546996938787340E-01-3.546996938787340E-01
-1.604438435718350E-01-1.604438435718350E-01
A11A11
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A12A12
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
1.622344000000000E-011.622344000000000E-01
A13A13
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A14A14
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A15A15
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A16A16
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A17A17
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A18A18
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A19A19
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A20A20
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
S9S9
S10S10
S11S11
KK
1.235805071546160E+011.235805071546160E+01
-1.000000000000000E+01-1.000000000000000E+01
-1.000000000000000E+01-1.000000000000000E+01
A3A3
-2.110697495798610E-02-2.110697495798610E-02
-6.198890211338680E-02-6.198890211338680E-02
-5.657553791149140E-02-5.657553791149140E-02
A4A4
-9.519965855572380E-02-9.519965855572380E-02
-1.968134082620840E-02-1.968134082620840E-02
-5.645721070471630E-02-5.645721070471630E-02
A5A5
-7.825415425777500E-02-7.825415425777500E-02
6.036913445024880E-036.036913445024880E-03
-3.074369757849220E-02-3.074369757849220E-02
A6A6
7.869985989247040E-027.869985989247040E-02
5.713651107190250E-025.713651107190250E-02
8.095324548105090E-028.095324548105090E-02
A7A7
4.167773345417170E-024.167773345417170E-02
3.201938002470340E-023.201938002470340E-02
1.633421009151880E-031.633421009151880E-03
A8A8
-1.527940311714350E-01-1.527940311714350E-01
-6.402508202763690E-02-6.402508202763690E-02
-1.741448567536110E-02-1.741448567536110E-02
A9A9
-9.959773473014410E-02-9.959773473014410E-02
-2.418114333612840E-02-2.418114333612840E-02
-1.615219566983570E-03-1.615219566983570E-03
A10A10
-3.455744301658520E-03-3.455744301658520E-03
4.033684266077380E-024.033684266077380E-02
2.055871576705730E-022.055871576705730E-02
A11A11
-3.320849891719550E-02-3.320849891719550E-02
0.000000000000000E+000.000000000000000E+00
-1.623605703072490E-02-1.623605703072490E-02
A12A12
6.991250560839450E-026.991250560839450E-02
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A13A13
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A14A14
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A15A15
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A16A16
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A17A17
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A18A18
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A19A19
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A20A20
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
S12S12
S13S13
S14S14
KK
-1.000000000000790E+01-1.000000000000790E+01
-1.000000000000000E+01-1.000000000000000E+01
-4.357809389322020E+00-4.357809389322020E+00
A3A3
1.117174005817750E-021.117174005817750E-02
-1.584106341445840E-02-1.584106341445840E-02
3.260019396775830E-023.260019396775830E-02
A4A4
-1.194409357342880E-01-1.194409357342880E-01
6.192576287395290E-026.192576287395290E-02
-7.960773082394200E-02-7.960773082394200E-02
A5A5
6.198916292620920E-026.198916292620920E-02
-7.422525864565310E-02-7.422525864565310E-02
8.282516510424040E-028.282516510424040E-02
A6A6
-1.171820783922330E-02-1.171820783922330E-02
7.253485272396800E-027.253485272396800E-02
1.697078518648840E-021.697078518648840E-02
A7A7
-1.787486663869950E-02-1.787486663869950E-02
1.772257788643560E-021.772257788643560E-02
-1.530972748398100E-02-1.530972748398100E-02
A8A8
1.774201257664140E-021.774201257664140E-02
-2.356072450348600E-02-2.356072450348600E-02
-6.860776672520920E-03-6.860776672520920E-03
A9A9
1.925366973382810E-021.925366973382810E-02
-1.805153082511750E-02-1.805153082511750E-02
1.111640337541160E-051.111640337541160E-05
A10A10
8.957593242999670E-038.957593242999670E-03
3.653028868858120E-033.653028868858120E-03
1.296485236573290E-051.296485236573290E-05
A11A11
-8.357770584206050E-03-8.357770584206050E-03
5.008894534010320E-035.008894534010320E-03
5.468205596116780E-045.468205596116780E-04
A12A12
-1.262825690260780E-02-1.262825690260780E-02
-7.308291257157480E-04-7.308291257157480E-04
2.145181042673630E-052.145181042673630E-05
A13A13
-1.899646822614490E-02-1.899646822614490E-02
2.177777165660760E-052.177777165660760E-05
1.948049188958220E-051.948049188958220E-05
A14A14
9.437956800853720E-039.437956800853720E-03
1.266680289992500E-051.266680289992500E-05
4.791200558704900E-064.791200558704900E-06
A15A15
2.045361312069030E-022.045361312069030E-02
2.593761783766950E-052.593761783766950E-05
1.456151923350300E-061.456151923350300E-06
A16A16
-1.075229043971080E-02-1.075229043971080E-02
1.712589353776240E-051.712589353776240E-05
8.773892693587690E-088.773892693587690E-08
A17A17
0.000000000000000E+000.000000000000000E+00
9.468283603197430E-069.468283603197430E-06
-2.024887670161480E-07-2.024887670161480E-07
A18A18
0.000000000000000E+000.000000000000000E+00
-3.960985380132090E-07-3.960985380132090E-07
-2.979841524075600E-07-2.979841524075600E-07
A19A19
0.000000000000000E+000.000000000000000E+00
-4.707079628314520E-06-4.707079628314520E-06
-1.675385520399170E-07-1.675385520399170E-07
A20A20
0.000000000000000E+000.000000000000000E+00
-4.698311433170090E-06-4.698311433170090E-06
-1.201437081712660E-07-1.201437081712660E-07
S15S15
S16S16
KK
-8.834872000000000E-01-8.834872000000000E-01
-6.285399300000000E+00-6.285399300000000E+00
A3A3
9.820800000000000E-039.820800000000000E-03
5.328640000000000E-025.328640000000000E-02
A4A4
-7.358360000000000E-02-7.358360000000000E-02
-5.860240000000000E-02-5.860240000000000E-02
A5A5
-3.251000000000000E-03-3.251000000000000E-03
8.639100000000000E-038.639100000000000E-03
A6A6
1.219390000000000E-021.219390000000000E-02
-1.440100000000000E-03-1.440100000000000E-03
A7A7
-1.347000000000000E-03-1.347000000000000E-03
2.054500000000000E-032.054500000000000E-03
A8A8
-3.882000000000000E-04-3.882000000000000E-04
-5.841000000000000E-04-5.841000000000000E-04
A9A9
-6.252548600000000E-05-6.252548600000000E-05
1.751848800000000E-051.751848800000000E-05
A10A10
-2.679676400000000E-05-2.679676400000000E-05
2.213117700000000E-052.213117700000000E-05
A11A11
1.582728100000000E-051.582728100000000E-05
-1.403615500000000E-05-1.403615500000000E-05
A12A12
1.770422400000000E-051.770422400000000E-05
-4.012046700000000E-06-4.012046700000000E-06
A13A13
-2.572107800000000E-06-2.572107800000000E-06
-1.182130000000000E-06-1.182130000000000E-06
A14A14
-1.011506400000000E-06-1.011506400000000E-06
4.302953300000000E-084.302953300000000E-08
A15A15
0.000000000000000E+000.000000000000000E+00
5.512435900000000E-075.512435900000000E-07
A16A16
0.000000000000000E+000.000000000000000E+00
3.627674100000000E-073.627674100000000E-07
A17A17
0.000000000000000E+000.000000000000000E+00
-9.826418100000000E-08-9.826418100000000E-08
A18A18
0.000000000000000E+000.000000000000000E+00
-3.229425600000000E-08-3.229425600000000E-08
A19A19
0.000000000000000E+000.000000000000000E+00
-1.594033800000000E-10-1.594033800000000E-10
A20A20
0.000000000000000E+000.000000000000000E+00
1.984375800000000E-091.984375800000000E-09
第一示例中的像差如图2所示。图2示出了作为像差示例的球差、像散(场曲)和畸变。这些像差图中的每一个都示出了以d线(587.56nm)作为参考波长的像差。在球差图中,还示出了相对于g线(435.84nm)和C线(656.27nm)的像差。在示出了像散的图中,“S”表示弧矢像面上的像差值,“T”表示子午像面上的像差值。这同样适用于其他示例中的像差图。The aberrations in the first example are shown in Figure 2. FIG. 2 shows spherical aberration, astigmatism (field curvature) and distortion as examples of aberrations. Each of these aberration diagrams shows aberrations with the d-line (587.56 nm) as the reference wavelength. In the spherical aberration diagram, aberrations with respect to the g-line (435.84 nm) and the C-line (656.27 nm) are also shown. In the diagrams showing astigmatism, "S" represents the aberration value on the sagittal image plane, and "T" represents the aberration value on the meridional image plane. The same applies to the aberration maps in the other examples.
由上述各像差图可知,显然,第一示例的相机模块11虽然尺寸小且角度广,但仍能令人满意地校正各种像差以获得优良的光学性能。It can be seen from the above aberration diagrams that, although the camera module 11 of the first example is small in size and wide in angle, it can satisfactorily correct various aberrations to obtain excellent optical performance.
【第二示例】【Second example】
下面将描述将特定数值应用于图3所示的相机模块11的第二示例。与第一示例相似,在第二示例中,前组光学系统31包括第一透镜L1和第二透镜L2,后组光学系统32包括第三透镜至第七透镜L3-L7。孔径光阑4设置在后组光学系统32中。表5示出了第二示例的透镜数据,表6示出了透镜的折光力,表7示出了整个系统的焦距f、F数Fno、视角2ω、全长以及后组光学系统32的合成焦距的值:fs、(r11+r12)/(r11-r12)、∑d/f和fs/f,表8示出了成像镜头21的非球面系数的值。A second example of applying specific numerical values to the camera module 11 shown in FIG. 3 will be described below. Similar to the first example, in the second example, the front-group optical system 31 includes a first lens L1 and a second lens L2, and the rear-group optical system 32 includes third to seventh lenses L3-L7. The aperture stop 4 is provided in the rear group optical system 32 . Table 5 shows the lens data of the second example, Table 6 shows the refractive power of the lens, and Table 7 shows the focal length f of the entire system, the F-number Fno, the angle of view 2ω, the total length, and the composition of the rear optical system 32 The values of the focal length: fs, (r11+r12)/(r11−r12), Σd/f, and fs/f, and Table 8 shows the values of the aspheric coefficients of the imaging lens 21 .
表5table 5
SiSi
RiRi
DiDi
NdNd
VdVd
1(虚拟表面)1 (virtual surface)
1.00E+101.00E+10
2(L1第一表面)2 (L1 first surface)
200.0000200.0000
0.81000.8100
1.54321.5432
56.0056.00
3(L1第二表面)3 (L1 second surface)
1.33691.3369
0.93990.9399
4(L2第一表面)4 (L2 first surface)
3.51543.5154
0.86290.8629
1.63491.6349
23.9623.96
5(L2第二表面)5 (L2 second surface)
-30.9997-30.9997
0.60540.6054
6(孔径光阑)6 (Aperture diaphragm)
1.00E+181.00E+18
-0.0100-0.0100
7(L3第一表面)7 (L3 first surface)
2.91162.9116
0.84770.8477
1.54321.5432
56.0056.00
8(L3第二表面)8 (L3 second surface)
-1.5726-1.5726
0.05000.0500
9(L4第一表面)9 (L4 first surface)
-4.8077-4.8077
0.40000.4000
1.63491.6349
23.9623.96
10(L4第二表面)10 (L4 second surface)
2.66162.6616
0.09840.0984
11(L5第一表面)11 (L5 first surface)
9.73369.7336
0.82450.8245
1.54321.5432
56.0056.00
12(L5第二表面)12 (L5 second surface)
-2.7523-2.7523
0.07210.0721
13(L6第一表面)13 (L6 first surface)
-2.3204-2.3204
0.73610.7361
1.54321.5432
56.0056.00
14(L6第二表面)14 (L6 second surface)
-0.8630-0.8630
0.02810.0281
15(L7第一表面)15 (L7 first surface)
2.14332.1433
0.41610.4161
1.63491.6349
23.9623.96
16(L7第二表面)16 (L7 second surface)
0.79380.7938
0.52480.5248
17(滤光片)17 (filter)
1.00E+181.00E+18
0.21000.2100
1.51681.5168
64.1764.17
18(成像面)18 (imaging plane)
0.58410.5841
表6Table 6
透镜lens
折光力Refractive power
L1L1
负burden
L2L2
正just
L3L3
正just
L4L4
负burden
L5L5
正just
L6L6
正just
L7L7
负burden
表7Table 7
ff
1.73911.7391
FnoFno
2.46712.4671
2ω2ω
152.8152.8
全长full length
8.00008.0000
fsfs
2.32732.3273
(r11+r12)/(r11-r12)(r11+r12)/(r11-r12)
1.01351.0135
∑d/f∑d/f
4.60014.6001
fs/ffs/f
1.33821.3382
表8Table 8
S2S2
S3S3
S4S4
KK
-1.000000000000020E+01-1.000000000000020E+01
-9.987051762007530E-01-9.987051762007530E-01
-1.810347167663190E-01-1.810347167663190E-01
A3A3
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A4A4
-1.265100000000000E-03-1.265100000000000E-03
5.387877036173740E-045.387877036173740E-04
-4.683292799167170E-03-4.683292799167170E-03
A5A5
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A6A6
9.068344000000050E-059.068344000000050E-05
-1.512073383112840E-03-1.512073383112840E-03
4.939922383529630E-034.939922383529630E-03
A7A7
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A8A8
-1.298880400000000E-06-1.298880400000000E-06
-3.600234640035140E-04-3.600234640035140E-04
1.823407650884590E-041.823407650884590E-04
A9A9
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A10A10
-2.078328100000000E-07-2.078328100000000E-07
3.372268145761420E-053.372268145761420E-05
-5.567404504155170E-05-5.567404504155170E-05
A11A11
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A12A12
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A13A13
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A14A14
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A15A15
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A16A16
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A17A17
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A18A18
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A19A19
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A20A20
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
S5S5
S7S7
S8S8
KK
1.000000000000000E+011.000000000000000E+01
2.181361098608220E-012.181361098608220E-01
1.933430954770980E+001.933430954770980E+00
A3A3
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A4A4
2.849758097041470E-022.849758097041470E-02
6.412483773901190E-056.412483773901190E-05
3.531744355812450E-023.531744355812450E-02
A5A5
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A6A6
2.950938850760680E-032.950938850760680E-03
-1.199458139688920E-01-1.199458139688920E-01
-4.247372529259700E-02-4.247372529259700E-02
A7A7
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A8A8
2.666417364582160E-032.666417364582160E-03
2.267292782103920E-012.267292782103920E-01
-4.429017804155380E-02-4.429017804155380E-02
A9A9
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A10A10
-1.494900759737030E-03-1.494900759737030E-03
-6.207692860959110E-01-6.207692860959110E-01
-9.947573013291400E-02-9.947573013291400E-02
A11A11
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A12A12
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
1.622344000000000E-011.622344000000000E-01
A13A13
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A14A14
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A15A15
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A16A16
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A17A17
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A18A18
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A19A19
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A20A20
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
S9S9
S10S10
S11S11
KK
1.735941871422080E+011.735941871422080E+01
-1.000000000000000E+01-1.000000000000000E+01
-1.000000000000000E+01-1.000000000000000E+01
A3A3
-1.172349574819490E-02-1.172349574819490E-02
-3.628369260200860E-02-3.628369260200860E-02
-1.145940697867070E-02-1.145940697867070E-02
A4A4
-1.100952085076980E-01-1.100952085076980E-01
-2.229494838671710E-02-2.229494838671710E-02
-2.684318656654830E-02-2.684318656654830E-02
A5A5
-6.095351307723470E-02-6.095351307723470E-02
-6.607074119237070E-03-6.607074119237070E-03
-2.601970547733150E-02-2.601970547733150E-02
A6A6
9.440974122098410E-029.440974122098410E-02
5.288936158498220E-025.288936158498220E-02
7.127502362350360E-027.127502362350360E-02
A7A7
3.952186377818000E-023.952186377818000E-02
3.412611813344530E-023.412611813344530E-02
-1.212657597239370E-02-1.212657597239370E-02
A8A8
-1.659356801226240E-01-1.659356801226240E-01
-6.157349608933860E-02-6.157349608933860E-02
-2.903434251215050E-02-2.903434251215050E-02
A9A9
-1.095548797123990E-01-1.095548797123990E-01
-2.482564976183630E-02-2.482564976183630E-02
-6.846020521203180E-03-6.846020521203180E-03
A10A10
7.654842209376670E-037.654842209376670E-03
3.657363155874460E-023.657363155874460E-02
2.489236685239480E-022.489236685239480E-02
A11A11
1.891869528574020E-031.891869528574020E-03
0.000000000000000E+000.000000000000000E+00
-9.079889311319630E-04-9.079889311319630E-04
A12A12
1.182107497927120E-011.182107497927120E-01
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A13A13
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A14A14
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A15A15
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A16A16
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A17A17
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A18A18
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A19A19
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A20A20
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
S12S12
S13S13
S14S14
KK
-1.000000000000790E+01-1.000000000000790E+01
-1.000000000000000E+01-1.000000000000000E+01
-5.031468391393800E+00-5.031468391393800E+00
A3A3
2.986295641753160E-022.986295641753160E-02
-2.083717942592840E-02-2.083717942592840E-02
1.646308894326660E-021.646308894326660E-02
A4A4
-1.248460171048860E-01-1.248460171048860E-01
5.832567434664610E-025.832567434664610E-02
-6.246799245757300E-02-6.246799245757300E-02
A5A5
6.301225073671200E-026.301225073671200E-02
-7.807893574147230E-02-7.807893574147230E-02
8.448121750248510E-028.448121750248510E-02
A6A6
-1.247746081635200E-02-1.247746081635200E-02
7.232934570546320E-027.232934570546320E-02
1.717756148459940E-021.717756148459940E-02
A7A7
-1.980083715195850E-02-1.980083715195850E-02
1.824706173521460E-021.824706173521460E-02
-1.520306699942680E-02-1.520306699942680E-02
A8A8
1.652512750038330E-021.652512750038330E-02
-2.288559315627660E-02-2.288559315627660E-02
-6.833345444643280E-03-6.833345444643280E-03
A9A9
1.902157245377290E-021.902157245377290E-02
-1.751481437111840E-02-1.751481437111840E-02
-1.301040781858700E-05-1.301040781858700E-05
A10A10
9.274099674804160E-039.274099674804160E-03
3.876264557570060E-033.876264557570060E-03
-1.920506132890850E-05-1.920506132890850E-05
A11A11
-7.858195744863730E-03-7.858195744863730E-03
5.098107880944090E-035.098107880944090E-03
5.197509814183390E-045.197509814183390E-04
A12A12
-1.217097767295380E-02-1.217097767295380E-02
-6.958503025787910E-04-6.958503025787910E-04
6.748702304300810E-066.748702304300810E-06
A13A13
-1.867185505284270E-02-1.867185505284270E-02
3.008077332157400E-063.008077332157400E-06
1.465203625339120E-051.465203625339120E-05
A14A14
9.629563397444840E-039.629563397444840E-03
-1.970283906325950E-05-1.970283906325950E-05
3.158191623617830E-063.158191623617830E-06
A15A15
2.053254669058340E-022.053254669058340E-02
-1.233177357859090E-05-1.233177357859090E-05
1.172459095782470E-061.172459095782470E-06
A16A16
-1.075551675041170E-02-1.075551675041170E-02
-8.867078453820570E-06-8.867078453820570E-06
3.595663900245830E-073.595663900245830E-07
A17A17
0.000000000000000E+000.000000000000000E+00
-7.056445097495670E-06-7.056445097495670E-06
-1.718810815493640E-08-1.718810815493640E-08
A18A18
0.000000000000000E+000.000000000000000E+00
-4.647908562054580E-06-4.647908562054580E-06
-1.764905568833210E-07-1.764905568833210E-07
A19A19
0.000000000000000E+000.000000000000000E+00
-3.353193999579260E-06-3.353193999579260E-06
-1.808735592760380E-07-1.808735592760380E-07
A20A20
0.000000000000000E+000.000000000000000E+00
-4.488361548859220E-07-4.488361548859220E-07
-1.508941530043910E-07-1.508941530043910E-07
S15S15
S16S16
KK
-8.834872000000000E-01-8.834872000000000E-01
-6.285399300000000E+00-6.285399300000000E+00
A3A3
9.820800000000000E-039.820800000000000E-03
5.328640000000000E-025.328640000000000E-02
A4A4
-7.358360000000000E-02-7.358360000000000E-02
-5.860240000000000E-02-5.860240000000000E-02
A5A5
-3.251000000000000E-03-3.251000000000000E-03
8.639100000000000E-038.639100000000000E-03
A6A6
1.219390000000000E-021.219390000000000E-02
-1.440100000000000E-03-1.440100000000000E-03
A7A7
-1.347000000000000E-03-1.347000000000000E-03
2.054500000000000E-032.054500000000000E-03
A8A8
-3.882000000000000E-04-3.882000000000000E-04
-5.841000000000000E-04-5.841000000000000E-04
A9A9
-6.252548600000000E-05-6.252548600000000E-05
1.751848800000000E-051.751848800000000E-05
A10A10
-2.679676400000000E-05-2.679676400000000E-05
2.213117700000000E-052.213117700000000E-05
A11A11
1.582728100000000E-051.582728100000000E-05
-1.403615500000000E-05-1.403615500000000E-05
A12A12
1.770422400000000E-051.770422400000000E-05
-4.012046700000000E-06-4.012046700000000E-06
A13A13
-2.572107800000000E-06-2.572107800000000E-06
-1.182130000000000E-06-1.182130000000000E-06
A14A14
-1.011506400000000E-06-1.011506400000000E-06
4.302953300000000E-084.302953300000000E-08
A15A15
0.000000000000000E+000.000000000000000E+00
5.512435900000000E-075.512435900000000E-07
A16A16
0.000000000000000E+000.000000000000000E+00
3.627674100000000E-073.627674100000000E-07
A17A17
0.000000000000000E+000.000000000000000E+00
-9.826418100000000E-08-9.826418100000000E-08
A18A18
0.000000000000000E+000.000000000000000E+00
-3.229425600000000E-08-3.229425600000000E-08
A19A19
0.000000000000000E+000.000000000000000E+00
-1.594033800000000E-10-1.594033800000000E-10
A20A20
0.000000000000000E+000.000000000000000E+00
1.984375800000000E-091.984375800000000E-09
图4示出了第二示例的像差,从图4的像差图可以看出,显然,第二示例中的相机模块11虽然尺寸小且角度广,但仍能令人满意地校正各种像差以获得优良的光学性能。Fig. 4 shows the aberrations of the second example, and it can be seen from the aberration diagram in Fig. 4 that it is obvious that the camera module 11 in the second example can satisfactorily correct various kinds of Aberrations for excellent optical performance.
【第三示例】【Third example】
接着,说明对图5所示的相机模块11应用特定数值的第三示例。与第一示例相似,在第三例中,前组光学系统31包括第一透镜L1和第二透镜L2,后组光学系统32包括第三透镜至第七透镜L3至L7,孔径光阑4设置在后组光学系统32中。表9示出了第三示例的透镜数据,表10示出了透镜的折光力,表11示出了整个系统的焦距f、F数Fno、视角2ω、全长和后组光学系统32的合成焦距的值:fs、(r11+r12)/(r11-r12)、∑d/f以及fs/f,表12示出了成像镜头21的非球面系数的值。Next, a third example of applying a specific numerical value to the camera module 11 shown in FIG. 5 will be described. Similar to the first example, in the third example, the front-group optical system 31 includes the first lens L1 and the second lens L2, the rear-group optical system 32 includes the third to seventh lenses L3 to L7, and the aperture stop 4 is provided in the rear optical system 32 . Table 9 shows the lens data of the third example, Table 10 shows the refractive power of the lens, and Table 11 shows the focal length f of the entire system, the F-number Fno, the angle of view 2ω, the total length, and the composition of the rear optical system 32 The values of the focal length: fs, (r11+r12)/(r11−r12), Σd/f, and fs/f, and Table 12 shows the values of the aspheric coefficients of the imaging lens 21 .
表9Table 9
SiSi
RiRi
DiDi
NdNd
νdvd
1(虚拟表面)1 (virtual surface)
1.00E+101.00E+10
2(L1第一表面)2 (L1 first surface)
1.00E+181.00E+18
0.81000.8100
1.51681.5168
64.1764.17
3(L1第二表面)3 (L1 second surface)
1.46081.4608
0.70000.7000
4(L2第一表面)4 (L2 first surface)
7.43597.4359
1.04421.0442
1.63491.6349
23.9623.96
5(L2第二表面)5 (L2 second surface)
-9.7263-9.7263
0.75820.7582
6(孔径光阑)6 (Aperture diaphragm)
1.00E+181.00E+18
-0.0100-0.0100
7(L3第一表面)7 (L3 first surface)
2.58402.5840
0.78550.7855
1.54321.5432
56.0056.00
8(L3第二表面)8 (L3 second surface)
-1.5985-1.5985
0.05000.0500
9(L4第一表面)9 (L4 first surface)
-6.8911-6.8911
0.40000.4000
1.63491.6349
23.9623.96
10(L4第二表面)10 (L4 second surface)
2.66582.6658
0.10200.1020
11(L5第一表面)11 (L5 first surface)
14.287014.2870
0.82090.8209
1.54321.5432
56.0056.00
12(L5第二表面)12 (L5 second surface)
-3.4351-3.4351
0.24580.2458
13(L6第一表面)13 (L6 first surface)
-2.2906-2.2906
0.76660.7666
1.54321.5432
56.0056.00
14(L6第二表面)14 (L6 second surface)
-0.7168-0.7168
0.08240.0824
15(L7第一表面)15 (L7 first surface)
2.26252.2625
0.33180.3318
1.63491.6349
23.9623.96
16(L7第二表面)16 (L7 second surface)
0.71390.7139
0.54680.5468
17(滤光片)17 (filter)
1.00E+181.00E+18
0.21000.2100
1.51681.5168
64.1764.17
18(成像面)18 (imaging plane)
0.35580.3558
表10Table 10
透镜lens
折光力Refractive power
L1L1
负burden
L2L2
正just
L3L3
正just
L4L4
负burden
L5L5
正just
L6L6
正just
L7L7
负burden
表11Table 11
ff
1.70511.7051
FnoFno
2.45032.4503
2ω2ω
139.9139.9
全长full length
8.00008.0000
fsfs
2.22062.2206
(r11+r12)/(r11-r12)(r11+r12)/(r11-r12)
1.00001.0000
Σd/fΣd/f
4.69184.6918
fs/ffs/f
1.30231.3023
表12Table 12
S2S2
S3S3
S4S4
KK
0.000000000000000E+000.000000000000000E+00
-9.987051762007530E-01-9.987051762007530E-01
4.199652943679350E+004.199652943679350E+00
A3A3
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A4A4
0.000000000000000E+000.000000000000000E+00
-6.775244006667290E-03-6.775244006667290E-03
6.225363011475080E-036.225363011475080E-03
A5A5
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
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S5S5
S7S7
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KK
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S9S9
S10S10
S11S11
KK
3.111473620099250E+013.111473620099250E+01
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A3A3
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A4A4
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A5A5
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A6A6
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5.617034913669580E-025.617034913669580E-02
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A7A7
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A8A8
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A9A9
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A10A10
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4.543085901118990E-024.543085901118990E-02
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A11A11
-8.557199599632920E-02-8.557199599632920E-02
0.000000000000000E+000.000000000000000E+00
9.796516469956890E-049.796516469956890E-04
A12A12
1.874481674338920E-011.874481674338920E-01
0.000000000000000E+000.000000000000000E+00
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A20A20
0.000000000000000E+000.000000000000000E+00
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S12S12
S13S13
S14S14
KK
-1.000000000000790E+01-1.000000000000790E+01
-1.000000000000000E+01-1.000000000000000E+01
-4.362570161870050E+00-4.362570161870050E+00
A3A3
1.864541606229270E-021.864541606229270E-02
-3.063247347262900E-02-3.063247347262900E-02
8.020560054324150E-038.020560054324150E-03
A4A4
-1.599812211326580E-01-1.599812211326580E-01
-9.267624930143530E-03-9.267624930143530E-03
-1.096379662827960E-01-1.096379662827960E-01
A5A5
4.618194548765310E-024.618194548765310E-02
-1.204155787240050E-01-1.204155787240050E-01
9.363461511404540E-029.363461511404540E-02
A6A6
-1.371015517554340E-02-1.371015517554340E-02
6.210635535376790E-026.210635535376790E-02
1.917226448577780E-021.917226448577780E-02
A7A7
-1.912972156193710E-02-1.912972156193710E-02
2.176829004554870E-022.176829004554870E-02
-1.550007872091320E-02-1.550007872091320E-02
A8A8
1.487260539017920E-021.487260539017920E-02
-1.763460955454930E-02-1.763460955454930E-02
-7.088094437826010E-03-7.088094437826010E-03
A9A9
1.760862664377530E-021.760862664377530E-02
-1.423361871041640E-02-1.423361871041640E-02
1.690298306652310E-041.690298306652310E-04
A10A10
9.561918998001320E-039.561918998001320E-03
5.277563471693940E-035.277563471693940E-03
2.236621451919460E-042.236621451919460E-04
A11A11
-5.985501202412620E-03-5.985501202412620E-03
5.453117229392870E-035.453117229392870E-03
6.750533921663290E-046.750533921663290E-04
A12A12
-9.809611672113080E-03-9.809611672113080E-03
-6.629504659024480E-04-6.629504659024480E-04
7.324478351651410E-057.324478351651410E-05
A13A13
-1.670901957220780E-02-1.670901957220780E-02
-3.366150144373060E-05-3.366150144373060E-05
3.143366651949920E-053.143366651949920E-05
A14A14
1.068441007743250E-021.068441007743250E-02
1.403910757306360E-051.403910757306360E-05
-3.109707958197410E-06-3.109707958197410E-06
A15A15
2.055083161927990E-022.055083161927990E-02
6.888558300854190E-056.888558300854190E-05
-9.716194861441510E-06-9.716194861441510E-06
A16A16
-1.165712903791430E-02-1.165712903791430E-02
7.658305888938510E-057.658305888938510E-05
-7.701177463697320E-06-7.701177463697320E-06
A17A17
0.000000000000000E+000.000000000000000E+00
6.250165568064580E-056.250165568064580E-05
-4.110999911275400E-06-4.110999911275400E-06
A18A18
0.000000000000000E+000.000000000000000E+00
3.867365584335990E-053.867365584335990E-05
-1.729145059073790E-06-1.729145059073790E-06
A19A19
0.000000000000000E+000.000000000000000E+00
9.972338244125130E-069.972338244125130E-06
2.187700273159080E-082.187700273159080E-08
A20A20
0.000000000000000E+000.000000000000000E+00
-5.753180121468890E-06-5.753180121468890E-06
6.792280235990370E-076.792280235990370E-07
S15S15
S16S16
KK
-8.834872000000000E-01-8.834872000000000E-01
-6.285399300000000E+00-6.285399300000000E+00
A3A3
9.820800000000000E-039.820800000000000E-03
5.328640000000000E-025.328640000000000E-02
A4A4
-7.358360000000000E-02-7.358360000000000E-02
-5.860240000000000E-02-5.860240000000000E-02
A5A5
-3.251000000000000E-03-3.251000000000000E-03
8.639100000000000E-038.639100000000000E-03
A6A6
1.219390000000000E-021.219390000000000E-02
-1.440100000000000E-03-1.440100000000000E-03
A7A7
-1.347000000000000E-03-1.347000000000000E-03
2.054500000000000E-032.054500000000000E-03
A8A8
-3.882000000000000E-04-3.882000000000000E-04
-5.841000000000000E-04-5.841000000000000E-04
A9A9
-6.252548600000000E-05-6.252548600000000E-05
1.751848800000000E-051.751848800000000E-05
A10A10
-2.679676400000000E-05-2.679676400000000E-05
2.213117700000000E-052.213117700000000E-05
A11A11
1.582728100000000E-051.582728100000000E-05
-1.403615500000000E-05-1.403615500000000E-05
A12A12
1.770422400000000E-051.770422400000000E-05
-4.012046700000000E-06-4.012046700000000E-06
A13A13
-2.572107800000000E-06-2.572107800000000E-06
-1.182130000000000E-06-1.182130000000000E-06
A14A14
-1.011506400000000E-06-1.011506400000000E-06
4.302953300000000E-084.302953300000000E-08
A15A15
0.000000000000000E+000.000000000000000E+00
5.512435900000000E-075.512435900000000E-07
A16A16
0.000000000000000E+000.000000000000000E+00
3.627674100000000E-073.627674100000000E-07
A17A17
0.000000000000000E+000.000000000000000E+00
-9.826418100000000E-08-9.826418100000000E-08
A18A18
0.000000000000000E+000.000000000000000E+00
-3.229425600000000E-08-3.229425600000000E-08
A19A19
0.000000000000000E+000.000000000000000E+00
-1.594033800000000E-10-1.594033800000000E-10
A20A20
0.000000000000000E+000.000000000000000E+00
1.984375800000000E-091.984375800000000E-09
图6示出了第三实施例中的像差,从图6的像差图可以看出,显然,第三示例中的相机模块11尽管尺寸小且角度广,但能够令人满意地校正各种像差以获得优良的光学性能。FIG. 6 shows the aberrations in the third embodiment, and it can be seen from the aberration diagram in FIG. 6 that it is obvious that the camera module 11 in the third example can satisfactorily correct various aberrations to obtain excellent optical performance.
【第四示例】【Fourth example】
接着,说明对图7示出的相机模块11应用特定数值的第四示例。在第四示例中,前组光学系统31和后组光学系统32的镜头配置与第一至第三示例的镜头配置不同。Next, a fourth example of applying a specific numerical value to the camera module 11 shown in FIG. 7 will be described. In the fourth example, the lens configurations of the front-group optical system 31 and the rear-group optical system 32 are different from those of the first to third examples.
具体地,在第四示例中,前组光学系统31按照从物体侧到成像表面S侧的顺序包括:具有负折光力且凹面面向成像表面S侧的第一透镜L1、具有负折光力且凹面面向成像表面S侧的第二透镜L2、以及具有正折光力且凹面面向物体侧和成像表面S侧的第三透镜L3。后组光学系统32按照从物体侧到成像表面S侧的顺序包括:具有正折光力且凸面面向物体侧和成像表面S侧的第四透镜L4、具有负折光力且凹面面向物体侧和成像表面S侧的第五透镜L5、具有负折光力的第六透镜L6和具有负折光力且凹面面向成像表面S侧的第七透镜L7。在后组光学系统32中,孔径光阑4相对于第四透镜L4的第一表面的顶点设置在成像表面S侧并且相对于第四透镜L4的第二表面设置在物体侧。Specifically, in the fourth example, the front-group optical system 31 includes, in order from the object side to the imaging surface S side: a first lens L1 having a negative refractive power and a concave surface facing the imaging surface S side, a first lens L1 having a negative refractive power and a concave surface A second lens L2 facing the imaging surface S side, and a third lens L3 having a positive refractive power and a concave surface facing the object side and the imaging surface S side. The rear group optical system 32 includes, in order from the object side to the imaging surface S side: a fourth lens L4 having a positive refractive power and a convex surface facing the object side and the imaging surface S side, a fourth lens L4 having a negative refractive power and a concave surface facing the object side and the imaging surface A fifth lens L5 on the S side, a sixth lens L6 having a negative refractive power, and a seventh lens L7 having a negative refractive power and a concave surface facing the imaging surface S side. In the rear group optical system 32, the apex of the aperture stop 4 is provided on the imaging surface S side with respect to the first surface of the fourth lens L4 and is provided on the object side with respect to the second surface of the fourth lens L4.
表13示出了第四示例的透镜数据,表14示出了透镜的折光力,表15示出了整个系统的焦距f、F数Fno、视角2ω、全长和后组光学系统32的合成焦距:fs、(r11+r12)/(r11-r12)、∑d/f和fs/f,表16示出了成像镜头21的非球面系数的值。Table 13 shows the lens data of the fourth example, Table 14 shows the refractive power of the lens, and Table 15 shows the focal length f of the entire system, the F-number Fno, the angle of view 2ω, the total length, and the composition of the rear optical system 32 Focal lengths: fs, (r11+r12)/(r11−r12), Σd/f, and fs/f, Table 16 shows the values of the aspheric coefficients of the imaging lens 21 .
表13Table 13
SiSi
RiRi
DiDi
NdNd
νdvd
1(虚拟表面)1 (virtual surface)
1.00E+101.00E+10
2(L1第一表面)2 (L1 first surface)
1.30E+011.30E+01
0.90.9
1.62301.6230
58.1258.12
3(L1第二表面)3 (L1 second surface)
2.69992.6999
0.90000.9000
4(L2第一表面)4 (L2 first surface)
14.373614.3736
0.68570.6857
1.48751.4875
70.4470.44
5(L2第二表面)5 (L2 second surface)
1.30001.3000
1.21671.2167
6(L3第一表面)6 (L3 first surface)
1.78E+001.78E+00
0.811420.81142
1.53391.5339
56.2056.20
7(L3第二表面)7 (L3 second surface)
-3.2356-3.2356
0.309040.30904
8(孔径光阑)8 (aperture diaphragm)
1.00E+181.00E+18
-0.02000-0.02000
9(L4第一表面)9 (L4 first surface)
3.29813.2981
0.736710.73671
1.53391.5339
56.2056.20
10(L4第二表面)10 (L4 second surface)
-1.0766-1.0766
0.025000.02500
11(L5第一表面)11 (L5 first surface)
-4.4521-4.4521
0.310000.31000
1.63491.6349
23.9623.96
12(L5第二表面)12 (L5 second surface)
1.52981.5298
0.644340.64434
13(L6第一表面)13 (L6 first surface)
0.42280.4228
0.400000.40000
1.53391.5339
56.2056.20
14(L6第二表面)14 (L6 second surface)
0.23900.2390
0.020000.02000
15(L7第一表面)15 (L7 first surface)
2.73892.7389
0.433830.43383
1.53391.5339
56.2056.20
16(L7第二表面)16 (L7 second surface)
2.28882.2888
0.197020.19702
17(滤光片)17 (filter)
1.00E+181.00E+18
0.110000.11000
1.51681.5168
64.2064.20
18(成像面)18 (imaging plane)
0.520010.52001
表14Table 14
透镜lens
折光力Refractive power
L1L1
负burden
L2L2
负burden
L3L3
正just
L4L4
正just
L5L5
负burden
L6L6
负burden
L7L7
负burden
表15Table 15
ff
1.24591.2459
FnoFno
2.46412.4641
2ω2ω
162.3162.3
全长full length
8.19988.1998
fsfs
14.789514.7895
(r11+r12)/(r11-r12)(r11+r12)/(r11-r12)
1.52421.5242
∑d/f∑d/f
6.58146.5814
fs/ffs/f
11.870511.8705
表16Table 16
S2S2
S3S3
S4S4
KK
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A3A3
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A4A4
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A5A5
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A6A6
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A7A7
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A8A8
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A9A9
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A10A10
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A11A11
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A12A12
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A13A13
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A14A14
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A15A15
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A16A16
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A17A17
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A18A18
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A19A19
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A20A20
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
S5S5
S6S6
S7S7
KK
0.000000000000000E+000.000000000000000E+00
-1.426481064242960E+00-1.426481064242960E+00
2.095643952175020E-012.095643952175020E-01
A3A3
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A4A4
0.000000000000000E+000.000000000000000E+00
-3.337807762826210E-02-3.337807762826210E-02
-2.391996513233170E-02-2.391996513233170E-02
A5A5
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A6A6
0.000000000000000E+000.000000000000000E+00
-3.737386170189720E-02-3.737386170189720E-02
-1.423384822146510E-02-1.423384822146510E-02
A7A7
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A8A8
0.000000000000000E+000.000000000000000E+00
-1.478213990929630E-03-1.478213990929630E-03
-8.198738231112180E-04-8.198738231112180E-04
A9A9
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A10A10
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A11A11
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A12A12
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A13A13
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A14A14
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A15A15
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A16A16
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A17A17
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A18A18
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A19A19
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A20A20
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
S9S9
S10S10
S11S11
KK
-5.691672939788710E-01-5.691672939788710E-01
7.210931921912800E-017.210931921912800E-01
9.142186923193580E+009.142186923193580E+00
A3A3
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A4A4
2.065362247078310E-022.065362247078310E-02
1.727867197121430E-011.727867197121430E-01
-4.762506755360050E-01-4.762506755360050E-01
A5A5
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A6A6
-1.962622513023300E-01-1.962622513023300E-01
-5.378791228539060E-01-5.378791228539060E-01
-5.876572145765700E-02-5.876572145765700E-02
A7A7
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A8A8
5.265467778821660E-015.265467778821660E-01
9.210164417228350E-019.210164417228350E-01
-2.302874374257640E-01-2.302874374257640E-01
A9A9
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A10A10
-2.286588477863880E+00-2.286588477863880E+00
-9.429417398754750E-01-9.429417398754750E-01
-3.194843581301680E-01-3.194843581301680E-01
A11A11
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A12A12
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A13A13
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A14A14
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A15A15
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A16A16
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A17A17
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A18A18
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A19A19
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A20A20
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
S12S12
S13S13
S14S14
KK
-1.006492142865310E+01-1.006492142865310E+01
-1.540968466521260E+17-1.540968466521260E+17
-1.079243904282780E+26-1.079243904282780E+26
A3A3
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A4A4
-5.945668779424970E-02-5.945668779424970E-02
2.637651500025180E-022.637651500025180E-02
1.338005000827000E-021.338005000827000E-02
A5A5
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A6A6
9.145971217176000E-029.145971217176000E-02
-3.281330270372640E-03-3.281330270372640E-03
-4.834522326318170E-03-4.834522326318170E-03
A7A7
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A8A8
-5.526303975745670E-02-5.526303975745670E-02
2.077765534975260E-042.077765534975260E-04
2.395452689482560E-032.395452689482560E-03
A9A9
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A10A10
2.101584828356210E-022.101584828356210E-02
-6.414535996826710E-04-6.414535996826710E-04
-7.806689841526270E-04-7.806689841526270E-04
A11A11
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A12A12
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A13A13
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A14A14
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A15A15
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A16A16
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A17A17
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A18A18
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A19A19
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A20A20
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
S15S15
S16S16
KK
-7.095558900653710E-01-7.095558900653710E-01
-6.263943977104570E+00-6.263943977104570E+00
A3A3
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A4A4
-9.257499482769730E-02-9.257499482769730E-02
-4.578304703307770E-02-4.578304703307770E-02
A5A5
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A6A6
2.830589870653260E-022.830589870653260E-02
1.051903083757810E-021.051903083757810E-02
A7A7
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A8A8
-6.144583013171090E-03-6.144583013171090E-03
-1.750102812379610E-03-1.750102812379610E-03
A9A9
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A10A10
4.664394523847530E-044.664394523847530E-04
9.076048657977360E-069.076048657977360E-06
A11A11
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A12A12
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A13A13
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A14A14
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A15A15
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A16A16
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A17A17
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A18A18
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A19A19
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A20A20
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
第四示例的像差如图8所示,由图8的像差图可知,显然,第四示例的相机模块11虽然尺寸小且角度广,但仍能令人满意地校正各种像差以获得优良的光学性能。The aberration of the fourth example is shown in FIG. 8 . From the aberration diagram of FIG. 8 , it can be seen that although the camera module 11 of the fourth example is small in size and wide in angle, it can still satisfactorily correct various aberrations to Obtain excellent optical properties.
【第五示例】【Fifth example】
接着,说明对图9示出的相机模块11应用特定数值的第五示例。在第五示例中,前组光学系统31和后组光学系统32的镜头配置与第一至第四示例中的镜头配置不同。Next, a fifth example of applying a specific numerical value to the camera module 11 shown in FIG. 9 will be described. In the fifth example, the lens configurations of the front-group optical system 31 and the rear-group optical system 32 are different from those in the first to fourth examples.
具体地,在第五示例中,前组光学系统31按照从物体侧到成像表面S侧的顺序包括:具有负折光力且凹面面向成像表面S侧的第一透镜L1、具有正折光力且凸面面向成像表面S侧的第二透镜L2、以及具有正折光力且凸面面向物体侧的第三透镜L3。后组光学系统32按照从物体侧到成像表面3侧的顺序包括:具有正折光力且其凸面面向物体侧和成像表面S侧的第四透镜L4、具有负折光力且凹面面向成像表面S侧的第五透镜L5、具有正折光力且凸面面向成像表面S侧的第六透镜L6以及具有负折光力且凹面面向成像表面S侧的第七透镜L7,在后组光学系统32中,孔径光阑4相对于第四透镜L4的第一表面的顶点设置在成像表面S侧并且相对于第四透镜L4的第二表面设置在物体侧。Specifically, in the fifth example, the front-group optical system 31 includes, in order from the object side to the imaging surface S side: a first lens L1 having a negative refractive power and a concave surface facing the imaging surface S side, a first lens L1 having a positive refractive power and a convex surface A second lens L2 facing the imaging surface S side, and a third lens L3 having a positive refractive power and a convex surface facing the object side. The rear group optical system 32 includes, in order from the object side to the imaging surface 3 side: a fourth lens L4 having a positive refractive power whose convex surface faces the object side and the imaging surface S side, a fourth lens L4 having a negative refractive power and a concave surface facing the imaging surface S side The fifth lens L5, the sixth lens L6 having positive refractive power and the convex surface facing the imaging surface S side, and the seventh lens L7 having negative refractive power and the concave surface facing the imaging surface S side, in the rear group optical system 32, the aperture light The apex of the stop 4 is provided on the imaging surface S side with respect to the first surface of the fourth lens L4 and is provided on the object side with respect to the second surface of the fourth lens L4.
表17示出了第五示例的透镜数据,表18示出了透镜的折光力,表19示出了整个系统的焦距f、F数Fno、视角2ω、全长和后组光学系统32的合成焦距:fs、(r11+r12)/(r11-r12)、∑d/f和fs/f,表20示出了成像镜头21的非球面系数的值。Table 17 shows the lens data of the fifth example, Table 18 shows the refractive power of the lens, and Table 19 shows the focal length f of the entire system, the F-number Fno, the angle of view 2ω, the total length, and the composition of the rear group optical system 32 Focal lengths: fs, (r11+r12)/(r11−r12), Σd/f, and fs/f, Table 20 shows the values of the aspheric coefficients of the imaging lens 21 .
表17Table 17
SiSi
RiRi
DiDi
NdNd
VdVd
1(虚拟表面)1 (virtual surface)
1.00E+101.00E+10
2(L1第一表面)2 (L1 first surface)
25.000025.0000
0.60000.6000
1.64691.6469
58.4458.44
3(L1第二表面)3 (L1 second surface)
1.75621.7562
1.70701.7070
4(L2第一表面)4 (L2 first surface)
-3.5331-3.5331
1.44031.4403
1.53431.5343
55.6655.66
5(L2第二表面)5 (L2 second surface)
-1.9876-1.9876
0.11990.1199
6(L3第一表面)6 (L3 first surface)
2.14432.1443
0.60380.6038
1.61071.6107
35.5135.51
7(L3第二表面)7 (L3 second surface)
1.95261.9526
0.44730.4473
8(孔径光阑)8 (aperture diaphragm)
1.00E+181.00E+18
-0.0200-0.0200
9(L4第一表面)9 (L4 first surface)
1.57511.5751
0.60000.6000
1.53431.5343
55.6655.66
10(L4第二表面)10 (L4 second surface)
-1.5003-1.5003
0.03000.0300
11(L5第一表面)11 (L5 first surface)
68.245568.2455
0.30000.3000
1.64241.6424
18.9518.95
12(L5第二表面)12 (L5 second surface)
1.45051.4505
0.22730.2273
13(L6第一表面)13 (L6 first surface)
25.271525.2715
0.51380.5138
1.53431.5343
55.6655.66
14(L6第二表面)14 (L6 second surface)
-1.8793-1.8793
0.25160.2516
15(L7第一表面)15 (L7 first surface)
-5.1799-5.1799
0.45000.4500
1.53431.5343
55.6655.66
16(L7第二表面)16 (L7 second surface)
2.47732.4773
0.04340.0434
17(滤光片)17 (filter)
1.00E+181.00E+18
0.11000.1100
1.51681.5168
64.2064.20
18(成像面)18 (imaging plane)
0.57790.5779
表18Table 18
透镜lens
折光力Refractive power
L1L1
负burden
L2L2
正just
L3L3
正just
L4L4
正just
L5L5
负burden
L6L6
正just
L7L7
负burden
表19Table 19
ff
1.32741.3274
FnoFno
2.50552.5055
2ω2ω
164.6164.6
全长full length
8.00248.0024
fsfs
2.51282.5128
(r11+r12)/(r11-r12)(r11+r12)/(r11-r12)
1.15111.1511
∑d/f∑d/f
6.02866.0286
fs/ffs/f
1.89301.8930
表20Table 20
S2S2
S3S3
S4S4
KK
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A3A3
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A4A4
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
-1.911043408074790E-02-1.911043408074790E-02
A5A5
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A6A6
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
6.119848829947400E-036.119848829947400E-03
A7A7
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A8A8
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
-1.728623233355910E-03-1.728623233355910E-03
A9A9
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A10A10
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A11A11
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A12A12
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A13A13
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A14A14
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A15A15
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A16A16
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
0.000000000000000E+000.000000000000000E+00
A17A17
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图10示出了第五示例的像差,从图10的像差图可知,显然,第五示例的相机模块11尽管尺寸小且角度广,也能够令人满意地校正各种像差以获得优良的光学性能。FIG. 10 shows the aberrations of the fifth example. From the aberration diagram of FIG. 10 , it is obvious that the camera module 11 of the fifth example can satisfactorily correct various aberrations despite its small size and wide angle. Excellent optical properties.
在本公开的实施例的描述中,应当理解诸如“中心”、“纵向”、“横向”、“长度”、“宽度”、“厚度”、“上”、“下”、“前”、“后面”、“后方”、“左”、“右”、“垂直”、“水平”、“顶”、“底”、“内”、“外”、“顺时针”和“逆时针”等术语应被解释为是指讨论的附图中所描述或所示出的方向或位置。这些相对术语仅用于简化本公开的描述,并且不表示或暗示所提及的装置或元件必须具有特定方向,或者必须以特定方向构造或操作,因此,这些术语不能被解释为限制本公开。In the description of the embodiments of the present disclosure, it should be understood that "center", "longitudinal", "lateral", "length", "width", "thickness", "top", "bottom", "front", " terms such as rear, rear, left, right, vertical, horizontal, top, bottom, inner, outer, clockwise, and counterclockwise It should be construed as referring to the orientation or location described or shown in the figures in question. These relative terms are only used to simplify the description of the present disclosure, and do not indicate or imply that a referenced device or element must have a particular orientation, or must be constructed or operated in a particular orientation, and therefore, these terms should not be construed as limiting the disclosure.
此外,诸如“第一”和“第二”之类的术语在本文中用于描述的目的,并非旨在指示或暗示相对重要性或显著性,或暗示所指示的技术特征的数量。因此,定义为“第一”和“第二”的特征可以包括该特征中的一个或多个。在本公开的描述中,“多个”是指“两个或多于两个”,除非另有说明。Furthermore, terms such as "first" and "second" are used herein for descriptive purposes and are not intended to indicate or imply relative importance or significance, or to imply the number of technical features indicated. Accordingly, features defined as "first" and "second" may include one or more of those features. In the description of the present disclosure, "plurality" means "two or more" unless stated otherwise.
在对本公开的实施例的描述中,除非另有说明或限制,“安装”、“连接”、“耦合”等术语是广义的,且可以是,例如,固定连接、可拆卸连接或整体连接;也可以是机械连接或电气连接;也可以是直接连接或通过中间结构的间接连接;也可以是本领域技术人员根据具体情况可以理解的两个元素的内部通信。In describing embodiments of the present disclosure, unless otherwise stated or limited, terms such as "installed," "connected," "coupled," and the like, are broad and may be, for example, fixed connections, detachable connections, or integral connections; It can also be a mechanical connection or an electrical connection; it can also be a direct connection or an indirect connection through an intermediate structure; it can also be an internal communication between two elements that can be understood by those skilled in the art according to specific situations.
在本公开的实施例中,除非另有说明或限制,第一特征在第二特征“上”或“下方”的结构可以包括第一特征与第二特征直接接触的实施例,还可以包括第一特征和第二特征彼此不直接接触而是通过在它们之间形成的附加特征接触的实施例。此外,第一特征在第二特征“上方”、“之上”或“顶部”可以包括以下实施例:第一特征正交或倾斜地在第二特征“上方”、“之上”或“顶部”,或者仅仅意味着第一特征的高度高于第二特征的高度;而第一特征在第二特征“下方”、“之下”或“底部”可包括以下实施例:第一特征正交或倾斜地在第二特征的“下方”、“之下”或“底部”,或者仅仅意味着第一个特征的高度低于第二个特征的高度。In the embodiments of the present disclosure, unless otherwise stated or limited, the structure in which the first feature is "above" or "under" the second feature may include an embodiment in which the first feature is in direct contact with the second feature, and may also include a first feature in direct contact with the second feature. Embodiments in which a feature and a second feature are not in direct contact with each other but are in contact through additional features formed between them. Furthermore, the fact that a first feature is "above", "over" or "on top" of a second feature may include embodiments where the first feature is "above", "over" or "on top of" the second feature orthogonally or obliquely ", or simply means that the height of the first feature is higher than the height of the second feature; while the first feature is "below", "below" or "bottom" the second feature may include embodiments where the first feature is orthogonal Either obliquely "below", "under" or "bottom" of the second feature, or simply means that the height of the first feature is lower than the height of the second feature.
上面的描述中提供了各种实施例和示例以实现本公开的不同结构。为了简化本公开,上面描述了某些元件和设置。然而,这些元件和设置仅作为示例,并不旨在限制本公开。此外,在本公开的不同示例中,附图标记和/或参考字母可能会重复。这种重复是为了简化和清楚的目的,而不是指不同实施例和/或设置之间的关系。此外,在本公开中提供了不同工艺和材料的示例。然而,本领域技术人员将理解,也可以应用其他工艺和/或材料。Various embodiments and examples have been provided in the above description to implement different structures of the present disclosure. In order to simplify the present disclosure, certain elements and arrangements are described above. However, these elements and arrangements are by way of example only, and are not intended to limit the present disclosure. Furthermore, reference numerals and/or reference letters may be repeated in different examples of the present disclosure. This repetition is for the purpose of simplicity and clarity and does not refer to a relationship between different embodiments and/or arrangements. Additionally, examples of different processes and materials are provided in this disclosure. However, those skilled in the art will understand that other processes and/or materials may also be used.
在整个说明书中对“一个实施例”、“一些实施例”、“一个示例性实施例”、“一个示例”、“一个具体示例”或“一些示例”的引用是指结合实施例或示例描述的特定特征、结构、材料或特性包括在本公开的至少一个实施例或示例中。因此,贯穿本说明书的上述短语的出现不一定指本公开的相同实施例或示例。此外,特定特征、结构、材料或特性可以在一个或多个实施例或示例中以任何合适的方式组合。References throughout this specification to "one embodiment," "some embodiments," "one exemplary embodiment," "one example," "one specific example," or "some examples" are meant to be described in conjunction with the embodiments or examples The particular feature, structure, material or characteristic of the present disclosure is included in at least one embodiment or example of the present disclosure. Thus, appearances of the above phrases throughout this specification are not necessarily referring to the same embodiment or example of the present disclosure. Furthermore, the particular features, structures, materials or characteristics may be combined in any suitable manner in one or more embodiments or examples.
在流程图中描述或本文中以其他方式描述的任何过程或方法可理解为包括用于实现过程中的特定逻辑功能或步骤的可执行指令的一个或多个模块、代码段或部分代码,并且本公开的优选实施例的范围包括其他实现方式,本领域技术人员应该理解,这些功能可以以不同于所示出或讨论的顺序来实现,包括以基本相同的顺序或以相反的顺序。Any process or method described in a flowchart or otherwise described herein may be understood as comprising one or more modules, code segments or portions of code comprising executable instructions for implementing specified logical functions or steps in the process, and The scope of the preferred embodiments of the present disclosure includes other implementations, as those skilled in the art will understand that the functions may be performed in a different order than shown or discussed, including in substantially the same order or in the reverse order.
本公开以其他方式描述或流程图所示的逻辑和/或步骤,例如,用于实现逻辑功能的特定可执行指令序列表,可以具体实现在要由指令执行系统、设备或装置使用的任何计算机可读介质(例如基于计算机的系统、包括处理器的系统或能够从执行指令的指令执行系统、设备和装置获得指令的其他系统)中,或与指令执行系统、装置和设备结合使用。对于本说明书,“计算机可读介质”可以是适用于包括、存储、通信、传播或传输程序以供指令执行系统、设备或装置使用或与指令执行系统、设备或装置结合使用的任何装置。计算机可读介质的更具体示例包括但不限于:具有一根或多根电线的电子连接(电子设备)、便携式计算机附件(磁性设备)、随机存取存储器(RAM)、只读存储器(ROM)、可擦写可编程只读存储器(EPROM或闪存)、光纤设备和便携式光盘只读存储器(CDROM)。此外,计算机可读介质甚至可以是能够在其上打印程序的纸或其他合适的介质,例如,可以对纸或其他适当的介质进行光学扫描,然后在必要时通过其他适当的方法进行编辑、解密或处理,以电子方式获得程序,然后将程序存储在计算机存储器中。Logic and/or steps otherwise described in this disclosure or shown in flowcharts, eg, specific executable instruction sequence listings for implementing the logical functions, may be embodied in any computer to be used by the instruction execution system, device, or apparatus. A readable medium (eg, a computer-based system, a system including a processor, or other systems capable of obtaining instructions from an instruction execution system, apparatus, and apparatus that executes the instructions), or used in connection with the instruction execution system, apparatus, and apparatus. For the purposes of this specification, a "computer-readable medium" can be any means suitable for containing, storing, communicating, propagating, or transmitting a program for use by or in connection with an instruction execution system, apparatus, or apparatus. More specific examples of computer readable media include, but are not limited to: electronic connections with one or more wires (electronic devices), portable computer accessories (magnetic devices), random access memory (RAM), read only memory (ROM) , Rewritable Programmable Read Only Memory (EPROM or Flash), Fiber Optic Devices and Portable Compact Disc Read Only Memory (CDROM). Furthermore, the computer readable medium may even be paper or other suitable medium on which the program can be printed, for example, the paper or other suitable medium may be optically scanned and then edited, decrypted if necessary by other suitable methods or processing, obtaining the program electronically and then storing the program in computer memory.
应当理解,本公开的各个部分可以通过硬件、软件、固件或它们的组合来实现。在上述实施例中,多个步骤或方法可以由通过存储在存储器中并由适当的指令执行系统执行的软件或固件来实现。例如,如果通过硬件实现,同样在另一个实施例中,这些步骤或方法可以通过本领域已知的以下技术中的一种或组合来实现:具有用于实现数据信号的逻辑功能的逻辑门电路的分立逻辑电路、具有适当组合逻辑门电路的专用集成电路、可编程门阵列(PGA)和现场可编程门阵列(FPGA)等等。It should be understood that various parts of the present disclosure may be implemented by hardware, software, firmware or a combination thereof. In the above-described embodiments, various steps or methods may be implemented by software or firmware stored in memory and executed by an appropriate instruction execution system. For example, if implemented by hardware, also in another embodiment, these steps or methods may be implemented by one or a combination of the following techniques known in the art: a logic gate circuit with a logic function for implementing a data signal discrete logic circuits, application-specific integrated circuits with appropriate combinational logic gate circuits, programmable gate arrays (PGA) and field programmable gate arrays (FPGA), etc.
本领域技术人员应当理解,本公开上述示例方法中的全部或部分步骤可以通过程序指令相关硬件来实现,该程序可以存储在计算机可读存储介质中,该程序在计算机上运行时包括本公开的方法实施例中的一个或多个步骤。Those skilled in the art should understand that all or part of the steps in the above exemplary method of the present disclosure can be implemented by a program instructing relevant hardware, the program can be stored in a computer-readable storage medium, and when the program runs on a computer, the program includes the steps of the present disclosure. one or more steps of a method embodiment.
另外,本公开实施例的各个功能单元可以集成在一个处理模块中,或者这些单元可以是单独的物理存在,或者两个或更多个单元集成在一个处理模块中。集成模块可以采用硬件的形式实现,也可以采用软件功能模块的形式实现。当集成模块以软件功能模块的形式实现并作为独立产品销售或使用时,该集成模块可以存储在计算机可读存储介质中。In addition, each functional unit of the embodiments of the present disclosure may be integrated in one processing module, or these units may exist physically separately, or two or more units may be integrated in one processing module. The integrated module can be implemented in the form of hardware or in the form of software functional modules. When the integrated module is implemented in the form of a software functional module and sold or used as a stand-alone product, the integrated module may be stored in a computer-readable storage medium.
上述存储介质可以是只读存储器、磁盘、CD等。The above-mentioned storage medium may be a read-only memory, a magnetic disk, a CD, or the like.
尽管已经示出和描述了本公开的实施例,但是本领域技术人员应当理解,这些实施例是解释性的并且不能被解释为限制本公开,在不脱离本公开的范围的情况下,可以对实施例进行改变、修改、替换和变型。Although embodiments of the present disclosure have been shown and described, it should be understood by those skilled in the art that these embodiments are illustrative and not to be construed as limiting the present disclosure, and that Embodiments are subject to changes, modifications, substitutions and variations.