TWI676835B - Wide-angle lens assembly - Google Patents
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Abstract
一種廣角鏡頭,沿著一光軸從一物側至一像側依序包括一第一透鏡、一第二透鏡、一第三透鏡、一第四透鏡、一第五透鏡、一第六透鏡、一第七透鏡、一第八透鏡、一第九透鏡及一第十透鏡。第一透鏡具有負屈光力且包括一凸面朝向物側及一凹面朝向像側。第二透鏡具有負屈光力。第三透鏡具有屈光力且包括一凸面朝向像側。第四透鏡具有正屈光力且包括一凸面朝向物側。第五透鏡具有屈光力。第六透鏡具有屈光力且包括一凹面朝向物側。第七透鏡具有正屈光力。第八透鏡為雙凸透鏡具有正屈光力。第九透鏡具有負屈光力。第十透鏡具有屈光力且包括一凸面朝向像側。 A wide-angle lens includes a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, and a lens along an optical axis in order from an object side to an image side. A seventh lens, an eighth lens, a ninth lens, and a tenth lens. The first lens has negative refractive power and includes a convex surface facing the object side and a concave surface facing the image side. The second lens has negative refractive power. The third lens has refractive power and includes a convex surface facing the image side. The fourth lens has positive refractive power and includes a convex surface facing the object side. The fifth lens has refractive power. The sixth lens has refractive power and includes a concave surface facing the object side. The seventh lens has a positive refractive power. The eighth lens is a lenticular lens with positive refractive power. The ninth lens has a negative refractive power. The tenth lens has refractive power and includes a convex surface facing the image side.
Description
本發明係有關於一種廣角鏡頭。 The invention relates to a wide-angle lens.
現今的廣角鏡頭之發展趨勢,除了不斷朝向大視角發展外,隨著不同的應用需求,還需同時具備畸變小及高亮度的能力,習知的廣角鏡頭已經無法滿足現今的需求,需要有另一種新架構的廣角鏡頭,才能同時滿足大視角、畸變小及高亮度的特性。 The current development trend of wide-angle lenses, in addition to the continuous development of large viewing angles, with the needs of different applications, must also have the ability to reduce distortion and high brightness at the same time, the conventional wide-angle lens has been unable to meet the current needs, and needs another new A wide-angle lens with an architecture can meet the characteristics of large viewing angle, small distortion and high brightness at the same time.
有鑑於此,本發明之主要目的在於提供一種廣角鏡頭,其鏡頭總長度短小、視角較大、亮度較高及畸變較小,但是仍具有良好的光學性能。 In view of this, the main object of the present invention is to provide a wide-angle lens, which has a short overall length, a large viewing angle, a high brightness, and a small distortion, but still has good optical performance.
本發明之廣角鏡頭包括一第一透鏡、一第二透鏡、一第三透鏡、一第四透鏡、一第五透鏡、一第六透鏡、一第七透鏡、一第八透鏡、一第九透鏡及一第十透鏡。第一透鏡具有負屈光力且包括一凸面朝向一物側及一凹面朝向一像側。第二透鏡具有負屈光力。第三透鏡具有負屈光力且包括一凸面朝向像側。第四透鏡具有正屈光力且包括一凸面朝向物側。第五透鏡具有正屈光力。第六透鏡具有負屈光力且包括一凹面朝向物側。第七透鏡具有正屈光力。第八透鏡為雙凸透鏡具有正屈光力。第九透鏡具有負屈光力。第十透鏡具有正屈光力且包括一凸面朝向像側。第一、二、 三、四、五、六、七、八、九及十透鏡沿著一光軸從物側至像側依序排列。 The wide-angle lens of the present invention includes a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens, an eighth lens, a ninth lens, and One tenth lens. The first lens has negative refractive power and includes a convex surface facing an object side and a concave surface facing an image side. The second lens has negative refractive power. The third lens has negative refractive power and includes a convex surface facing the image side. The fourth lens has positive refractive power and includes a convex surface facing the object side. The fifth lens has a positive refractive power. The sixth lens has negative refractive power and includes a concave surface facing the object side. The seventh lens has a positive refractive power. The eighth lens is a lenticular lens with positive refractive power. The ninth lens has a negative refractive power. The tenth lens has a positive refractive power and includes a convex surface facing the image side. First, second, The three, four, five, six, seven, eight, nine, and ten lenses are sequentially arranged along the optical axis from the object side to the image side.
本發明之另一廣角鏡頭包括一第一透鏡、一第二透鏡、一第三透鏡、一第四透鏡、一第五透鏡、一第六透鏡、一第七透鏡、一第八透鏡、一第九透鏡及一第十透鏡。第一透鏡具有負屈光力且包括一凸面朝向一物側及一凹面朝向一像側。第二透鏡具有負屈光力。第三透鏡具有負屈光力且包括一凸面朝向像側。第四透鏡具有正屈光力且包括一凸面朝向物側。第五透鏡具有正屈光力。第六透鏡具有負屈光力且包括一凹面朝向物側。第七透鏡具有正屈光力。第八透鏡為雙凸透鏡具有正屈光力。第九透鏡具有負屈光力且包括一凹面朝向物側。第十透鏡具有正屈光力且包括一凸面朝向像側。第一、二、三、四、五、六、七、八、九及十透鏡沿著一光軸從物側至像側依序排列。 Another wide-angle lens of the present invention includes a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens, an eighth lens, and a ninth lens. Lens and a tenth lens. The first lens has negative refractive power and includes a convex surface facing an object side and a concave surface facing an image side. The second lens has negative refractive power. The third lens has negative refractive power and includes a convex surface facing the image side. The fourth lens has positive refractive power and includes a convex surface facing the object side. The fifth lens has a positive refractive power. The sixth lens has negative refractive power and includes a concave surface facing the object side. The seventh lens has a positive refractive power. The eighth lens is a lenticular lens with positive refractive power. The ninth lens has a negative refractive power and includes a concave surface facing the object side. The tenth lens has a positive refractive power and includes a convex surface facing the image side. The first, second, third, fourth, fifth, sixth, seventh, eighth, ninth, and ten lenses are sequentially arranged along the optical axis from the object side to the image side.
其中第六透鏡具有負屈光力且可更包括一凸面朝向像側。 The sixth lens has a negative refractive power and may further include a convex surface facing the image side.
其中第六透鏡具有負屈光力且可更包括一凹面朝向像側。 The sixth lens has a negative refractive power and may further include a concave surface facing the image side.
其中第三透鏡具有負屈光力,第四透鏡可更包括一凸面朝向像側,第五透鏡為雙凸透鏡具有正屈光力,第九透鏡包括一凹面朝向像側,第十透鏡具有正屈光力,且可更包括一凸面朝向物側。 The third lens has a negative refractive power, the fourth lens may further include a convex surface facing the image side, the fifth lens is a biconvex lens with positive refractive power, the ninth lens includes a concave surface toward the image side, and the tenth lens has positive refractive power, and may be more It includes a convex surface facing the object side.
其中第五透鏡及第六透鏡膠合。 The fifth lens and the sixth lens are cemented.
其中第八透鏡及第九透鏡膠合。 The eighth lens and the ninth lens are cemented.
其中廣角鏡頭滿足以下條件:-20f3/f-2;其中,f3為第三透鏡之一有效焦距,f為廣角鏡頭之一有效焦距。 The wide-angle lens meets the following conditions: -20 f 3 / f -2; where f 3 is an effective focal length of one of the third lenses and f is an effective focal length of a wide-angle lens.
其中廣角鏡頭滿足以下條件:-10f6/f20;其中,f6為第六透鏡之一有效焦距,f為廣角鏡頭之一有效焦距。 The wide-angle lens meets the following conditions: -10 f 6 / f 20; where f 6 is an effective focal length of a sixth lens, and f is an effective focal length of a wide-angle lens.
其中廣角鏡頭滿足以下條件:2f56/f30;其中,f56為第五透鏡及第六透鏡之組合之一組合有效焦距,f為廣角鏡頭之一有效焦距。 The wide-angle lens meets the following conditions: 2 f 56 / f 30; where f 56 is an effective focal length of a combination of the fifth lens and the sixth lens, and f is an effective focal length of a wide-angle lens.
其中廣角鏡頭滿足以下條件:10Vd1/Nd1 40;其中Vd1為第一透鏡之一阿貝係數,Nd1為第一透鏡之一折射率。 The wide-angle lens meets the following conditions: 10 Vd 1 / Nd 1 40; where Vd 1 is the Abbe coefficient of one of the first lenses, and Nd 1 is the refractive index of one of the first lenses.
其中廣角鏡頭滿足以下條件:10Vd4/Nd4 30;其中Vd4為第四透鏡之一阿貝係數,Nd4為第四透鏡之一折射率。 The wide-angle lens meets the following conditions: 10 Vd 4 / Nd 4 30; Vd 4 is an Abbe coefficient of the fourth lens, and Nd 4 is a refractive index of the fourth lens.
其中廣角鏡頭滿足以下條件:0<R31/R32 0.8;其中,R31為第三透鏡之一物側面之一曲率半徑,R32為第三透鏡之一像側面之一曲率半徑。 The wide-angle lens meets the following conditions: 0 <R 31 / R 32 0.8; wherein R 31 is a curvature radius of one object side of the third lens, and R 32 is a curvature radius of one image side of the third lens.
其中廣角鏡頭滿足以下條件:-0.8R91/R92<0;其中,R91為第九透鏡之一物側面之一曲率半徑,R92為第九透鏡之一像側面之一曲率半徑。 The wide-angle lens meets the following conditions: -0.8 R 91 / R 92 <0; wherein R 91 is a radius of curvature of one object side of the ninth lens, and R 92 is a radius of curvature of one image side of the ninth lens.
為使本發明之上述目的、特徵、和優點能更明顯易懂,下文特舉較佳實施例並配合所附圖式做詳細說明。 In order to make the above-mentioned objects, features, and advantages of the present invention more comprehensible, preferred embodiments are described in detail below in conjunction with the accompanying drawings.
1、2、3‧‧‧廣角鏡頭 1, 2, 3‧‧‧ wide-angle lens
L11、L21、L31‧‧‧第一透鏡 L11, L21, L31‧‧‧First lens
L12、L22、L32‧‧‧第二透鏡 L12, L22, L32‧‧‧Second lens
L13、L23、L33‧‧‧第三透鏡 L13, L23, L33‧‧‧ Third lens
L14、L24、L34‧‧‧第四透鏡 L14, L24, L34‧‧‧ Fourth lens
L15、L25、L35‧‧‧第五透鏡 L15, L25, L35‧‧‧ fifth lens
L16、L26、L36‧‧‧第六透鏡 L16, L26, L36‧‧‧ Sixth lens
L17、L27、L37‧‧‧第七透鏡 L17, L27, L37‧‧‧ Seventh lens
L18、L28、L38‧‧‧第八透鏡 L18, L28, L38‧‧‧ Eighth lens
L19、L29、L39‧‧‧第九透鏡 L19, L29, L39‧‧‧ Ninth lens
L110、L210、L310‧‧‧第十透鏡 L110, L210, L310‧‧‧ tenth lens
ST1、ST2、ST3‧‧‧光圈 ST1, ST2, ST3 ‧‧‧ aperture
OF1、OF2、OF3‧‧‧濾光片 OF1, OF2, OF3‧‧‧ filters
CG1、CG2、CG3‧‧‧保護玻璃 CG1, CG2, CG3‧‧‧protective glass
OA1、OA2、OA3‧‧‧光軸 OA1, OA2, OA3 ‧‧‧ Optical axis
IMA1、IMA2、IMA3‧‧‧成像面 IMA1, IMA2, IMA3‧‧‧ imaging surface
S11、S12、S13、S14、S15、S16、S17‧‧‧面 S11, S12, S13, S14, S15, S16, S17‧‧‧ faces
S18、S19、S110、S111、S112、S113‧‧‧面 S18, S19, S110, S111, S112, S113‧‧‧ faces
S114、S115、S116、S117、S118‧‧‧面 S114, S115, S116, S117, S118‧‧‧ faces
S119、S120、S121、S122、S123‧‧‧面 S119, S120, S121, S122, S123‧‧‧ faces
S21、S22、S23、S24、S25、S26、S27‧‧‧面 S21, S22, S23, S24, S25, S26, S27
S28、S29、S210、S211、S212、S213‧‧‧面 S28, S29, S210, S211, S212, S213‧‧‧ faces
S214、S215、S216、S217、S218‧‧‧面 S214, S215, S216, S217, S218‧‧‧ faces
S219、S220、S221、S222、S223‧‧‧面 S219, S220, S221, S222, S223‧‧‧ faces
S31、S32、S33、S34、S35、S36、S37‧‧‧面 S31, S32, S33, S34, S35, S36, S37‧‧‧ faces
S38、S39、S310、S311、S312、S313‧‧‧面 S38, S39, S310, S311, S312, S313‧‧‧ faces
S314、S315、S316、S317、S318‧‧‧面 S314, S315, S316, S317, S318‧‧‧ faces
S319、S320、S321、S322、S323‧‧‧面 S319, S320, S321, S322, S323‧‧‧ faces
第1圖係依據本發明之廣角鏡頭之第一實施例的透鏡配置示意圖。 FIG. 1 is a schematic diagram of a lens configuration of a first embodiment of a wide-angle lens according to the present invention.
第2A圖係第1圖之廣角鏡頭之縱向球差(Longitudinal Spherical Aberration)圖。 Figure 2A is the Longitudinal Spherical Aberration of the wide-angle lens in Figure 1.
第2B圖係第1圖之廣角鏡頭之像散場曲(Astigmatic Field Curves)圖。 Figure 2B is the Astigmatic Field Curves of the wide-angle lens of Figure 1.
第2C圖係第1圖之廣角鏡頭之畸變(Distortion)圖。 Figure 2C is the distortion image of the wide-angle lens in Figure 1.
第3圖係依據本發明之廣角鏡頭之第二實施例的透鏡配置示意圖。 FIG. 3 is a schematic diagram of a lens configuration of a second embodiment of a wide-angle lens according to the present invention.
第4A圖係第3圖之廣角鏡頭之縱向球差(Longitudinal Spherical Aberration)圖。 Figure 4A is the Longitudinal Spherical Aberration of the wide-angle lens in Figure 3.
第4B圖係第3圖之廣角鏡頭之像散場曲(Astigmatic Field Curves)圖。 Figure 4B is an Astigmatic Field Curves view of the wide-angle lens of Figure 3.
第4C圖係第3圖之廣角鏡頭之畸變(Distortion)圖。 Figure 4C is the distortion of the wide-angle lens in Figure 3.
第5圖係依據本發明之廣角鏡頭之第三實施例的透鏡配置示意圖。 FIG. 5 is a schematic diagram of a lens configuration of a third embodiment of a wide-angle lens according to the present invention.
第6A圖係第5圖之廣角鏡頭之縱向球差(Longitudinal Spherical Aberration)圖。 Figure 6A is the Longitudinal Spherical Aberration of the wide-angle lens in Figure 5.
第6B圖係第5圖之廣角鏡頭之像散場曲(Astigmatic Field Curves)圖。 Figure 6B is the Astigmatic Field Curves of the wide-angle lens of Figure 5.
第6C圖係第5圖之廣角鏡頭之畸變(Distortion)圖。 Figure 6C is the distortion of the wide-angle lens in Figure 5.
請參閱第1圖,第1圖係依據本發明之廣角鏡頭之第一實施例的透鏡配置示意圖。廣角鏡頭1沿著一光軸OA1從一物側至一像側依序包括一第一透鏡L11、一第二透鏡L12、一第三透鏡L13、一第四透鏡L14、一第五透鏡L15、一第六透鏡L16、一光圈ST1、一第七透鏡L17、一第八透鏡L18、一第九透鏡L19、一第十透鏡L110、一濾光片OF1及一保護玻璃CG1。成像時,來自物側之光線最後成像於一成像面IMA1上。 Please refer to FIG. 1, which is a schematic diagram of a lens configuration of a first embodiment of a wide-angle lens according to the present invention. The wide-angle lens 1 includes a first lens L11, a second lens L12, a third lens L13, a fourth lens L14, a fifth lens L15, and a lens along an optical axis OA1 in order from an object side to an image side. The sixth lens L16, an aperture ST1, a seventh lens L17, an eighth lens L18, a ninth lens L19, a tenth lens L110, a filter OF1, and a protective glass CG1. During imaging, the light from the object side is finally imaged on an imaging surface IMA1.
第一透鏡L11為彎月型透鏡具有負屈光力由玻璃材質製成,其物側面S11為凸面,像側面S12為凹面,物側面S11與像側面S12皆為球面表面。 The first lens L11 is a meniscus lens with negative refractive power and is made of glass. The object side S11 is convex, the image side S12 is concave, and both the object side S11 and the image side S12 are spherical surfaces.
第二透鏡L12為彎月型透鏡具有負屈光力由塑膠材質製成,其物側面S13為凸面,像側面S14為凹面,物側面S13與像側面S14皆為非球面表面。 The second lens L12 is a meniscus lens with negative refractive power and is made of a plastic material. The object side S13 is convex, the image side S14 is concave, and both the object side S13 and the image side S14 are aspherical surfaces.
第三透鏡L13為彎月型透鏡具有負屈光力由玻璃材質製成,其物側面S15為凹面,像側面S16為凸面,物側面S15與像側面S16皆為球面表面。 The third lens L13 is a meniscus lens with negative refractive power and is made of glass material. The object side S15 is concave, the image side S16 is convex, and both the object side S15 and the image side S16 are spherical surfaces.
第四透鏡L14為雙凸透鏡具有正屈光力由玻璃材質製成,其物側面S17為凸面,像側面S18為凸面,物側面S17與像側面S18皆為球面表面。 The fourth lens L14 is a biconvex lens and has a positive refractive power. The fourth lens L14 is made of glass. The object side S17 is convex, the image side S18 is convex, and both the object side S17 and the image side S18 are spherical surfaces.
第五透鏡L15為雙凸透鏡具有正屈光力由玻璃材質製成,其物側面S19為凸面,像側面S110為凸面,物側面S19與像側面S110皆為球面表面。 The fifth lens L15 is a biconvex lens and has a positive refractive power. The fifth lens L15 is made of glass. The object side S19 is convex, the image side S110 is convex, and the object side S19 and the image side S110 are spherical surfaces.
第六透鏡L16為雙凹透鏡具有負屈光力由玻璃材質製成,其物側面S110為凹面,像側面S111為凹面,物側面S110與像側面S111皆為球面表面。 The sixth lens L16 is a biconcave lens and has negative refractive power and is made of glass material. The object side S110 is concave, the image side S111 is concave, and the object side S110 and the image side S111 are spherical surfaces.
上述第五透鏡L15及第六透鏡L16膠合。 The fifth lens L15 and the sixth lens L16 are cemented.
第七透鏡L17為雙凸透鏡具有正屈光力由玻璃材質製成,其物側面S113為凸面,像側面S114為凸面,物側面S113與像側面S114皆為球面表面。 The seventh lens L17 is a biconvex lens and has a positive refractive power. The seventh lens L17 is made of glass. The object side S113 is convex, the image side S114 is convex, and the object side S113 and the image side S114 are spherical surfaces.
第八透鏡L18為雙凸透鏡具有正屈光力由玻璃材質製成,其物側面S115為凸面,像側面S116為凸面,物側面S115與像側面S116皆為球面表面。 The eighth lens L18 is a biconvex lens and has a positive refractive power. The eighth lens L18 is made of glass. The object side S115 is convex, the image side S116 is convex, and the object side S115 and the image side S116 are spherical surfaces.
第九透鏡L19為雙凹透鏡具有負屈光力由玻璃材質製成,其物側面S116為凹面,像側面S117為凹面,物側面S116與像側面S117皆為球面表面。 The ninth lens L19 is a biconcave lens and has a negative refractive power. The ninth lens L19 is made of glass. The object side S116 is concave, the image side S117 is concave, and the object side S116 and the image side S117 are spherical surfaces.
上述第八透鏡L18及第九透鏡L19膠合。 The eighth lens L18 and the ninth lens L19 are cemented.
第十透鏡L110為雙凸透鏡具有正屈光力由塑膠材質製成,其物側面S118為凸面,像側面S119為凸面,物側面S118與像側面S119皆為非球面表面。 The tenth lens L110 is a biconvex lens and has a positive refractive power and is made of plastic. The object side S118 is convex, the image side S119 is convex, and both the object side S118 and the image side S119 are aspherical surfaces.
濾光片OF1其物側面S120與像側面S121皆為平面。 Both the object side S120 and the image side S121 of the filter OF1 are flat.
保護玻璃CG1其物側面S122與像側面S123皆為平面。 The cover glass CG1 is flat on both the object side S122 and the image side S123.
另外,第一實施例中的廣角鏡頭1滿足底下七條件中任一條件:-20f13/f1-2 (1) In addition, the wide-angle lens 1 in the first embodiment satisfies any one of the following seven conditions: -20 f1 3 / f1 -twenty one)
-10f16/f120 (2) -10 f1 6 / f1 20 (2)
2f156/f130 (3) 2 f1 56 / f1 30 (3)
10Vd11/Nd11 40 (4) 10 Vd1 1 / Nd1 1 40 (4)
10Vd14/Nd14 30 (5) 10 Vd1 4 / Nd1 4 30 (5)
0<R131/R132 0.8 (6) 0 <R1 31 / R1 32 0.8 (6)
-0.8R191/R192<0 (7) -0.8 R1 91 / R1 92 <0 (7)
其中,f13為第三透鏡L13之一有效焦距,f16為第六透鏡L16之一有效焦距,f156為第五透鏡L15及第六透鏡L16之組合之一組合有效焦距,f1為廣角鏡頭1之一有效焦距,Vd11為第一透鏡L11之一阿貝係數(Abbe Number),Nd11為第一透鏡L11之一折射率,Vd14為第四透鏡L14之一阿貝係數(Abbe Number),Nd14為第四透鏡L14之一折射率,R131為第三透鏡L13之物側面S15之一曲率半徑,R132為第三透鏡L13之像側面S16之一曲率半徑,R191為第九透鏡L19之物側面S116之一曲率半徑,R192為第九透鏡L19 之像側面S117之一曲率半徑。 Among them, f1 3 is an effective focal length of the third lens L13, f1 6 is an effective focal length of the sixth lens L16, f1 56 is a combined effective focal length of a combination of the fifth lens L15 and the sixth lens L16, and f1 is a wide-angle lens 1 An effective focal length, Vd1 1 is an Abbe Number of the first lens L11, Nd1 1 is an index of the first lens L11, and Vd1 4 is an Abbe Number of the fourth lens L14. Nd1 4 is a refractive index of the fourth lens L14, R1 31 is a curvature radius of the object side S15 of the third lens L13, R1 32 is a curvature radius of the image side S16 of the third lens L13, and R1 91 is the ninth A radius of curvature of the object side S116 of the lens L19, and R1 92 is a radius of curvature of the image side S117 of the ninth lens L19.
利用上述透鏡、光圈ST1及滿足條件(1)至條件(7)中任一條件之設計,使得廣角鏡頭1能有效的縮短鏡頭總長度、有效的增加視角、有效的增加亮度、有效的縮小畸變、有效的修正像差。 Utilizing the above-mentioned lens, aperture ST1, and a design that satisfies any of the conditions (1) to (7), the wide-angle lens 1 can effectively shorten the total lens length, effectively increase the angle of view, effectively increase the brightness, effectively reduce the distortion, Effectively correct aberrations.
表一為第1圖中廣角鏡頭1之各透鏡之相關參數表,表一資料顯示,第一實施例之廣角鏡頭1之有效焦距等於8.493mm、光圈值等於2.8、鏡頭總長度等於41.000mm、視角等於88.439度。 Table 1 is the relevant parameter table of each lens of the wide-angle lens 1 in Figure 1. The data in Table 1 shows that the effective focal length of the wide-angle lens 1 of the first embodiment is 8.493 mm, the aperture value is 2.8, the total lens length is 41.000 mm, and the viewing angle is 88.439 degrees.
表一中各個透鏡之非球面表面凹陷度z由下列公式所得到:z=ch2/{1+[1-(k+1)c2h2]1/2}+Ah4+Bh6+Ch8 The aspheric surface depression z of each lens in Table 1 is obtained by the following formula: z = ch 2 / {1+ [1- (k + 1) c 2 h 2 ] 1/2 } + Ah 4 + Bh 6 + Ch 8
其中:c:曲率;h:透鏡表面任一點至光軸之垂直距離;k:圓錐係數;A~C:非球面係數。 Where: c: curvature; h: vertical distance from any point on the lens surface to the optical axis; k: conic coefficient; A ~ C: aspheric coefficient.
表二為表一中各個透鏡之非球面表面之相關參數表,其中k為圓錐係數(Conic Constant)、A~C為非球面係數。 Table 2 is a table of related parameters of the aspheric surface of each lens in Table 1, where k is the Conic Constant and A ~ C are aspheric coefficients.
表三為條件(1)至條件(7)中各參數值及條件(1)至條件(7)之計算值,由表三可知,第一實施例之廣角鏡頭1皆能滿足條件(1)至條件(7)之要求。 Table 3 shows the parameter values in the conditions (1) to (7) and the calculated values of the conditions (1) to (7). As can be seen from Table 3, the wide-angle lens 1 of the first embodiment can satisfy the conditions (1) to The requirement of condition (7).
其中,若條件(1)f13/f1的值大於-2,則難以提供足夠強的屈光度。因此,f13/f1的值至少須小於等於-2,所以最佳效果範圍為-20f13/f1-2,符合該範圍則可提供足夠強的屈光度。 However, if the value of condition (1) f1 3 / f1 is larger than -2, it is difficult to provide a sufficiently strong refractive power. Therefore, the value of f1 3 / f1 must be at least -2, so the best effect range is -20 f1 3 / f1 -2, within this range can provide a sufficiently strong diopter.
另外,第一實施例之廣角鏡頭1的光學性能也可達到要求,這可從第2A至第2C圖看出。第2A圖所示的,是第一實施例之廣角鏡頭1的縱向球差(Longitudinal Spherical Aberration)圖。第2B圖所示的,是第一實施例之廣角鏡頭1的像散場曲(Astigmatic Field Curves)圖。第2C圖所示的,是第一實施例之廣角鏡頭1的畸變(Distortion)圖。 In addition, the optical performance of the wide-angle lens 1 of the first embodiment can also meet the requirements, which can be seen from FIGS. 2A to 2C. FIG. 2A is a longitudinal spherical aberration diagram of the wide-angle lens 1 of the first embodiment. FIG. 2B is an astigmatic field curve diagram of the wide-angle lens 1 of the first embodiment. FIG. 2C is a distortion view of the wide-angle lens 1 of the first embodiment.
由第2A圖可看出,第一實施例之廣角鏡頭1對波長為455.0000nm、558.0000nm、661.0000nm之光線所產生的縱向球差值介於-0.025mm至0.025mm之間。 It can be seen from FIG. 2A that the longitudinal spherical aberration value generated by the wide-angle lens 1 of the first embodiment for light having wavelengths of 455.0000 nm, 558.0000 nm, and 661.0000 nm is between -0.025 mm and 0.025 mm.
由第2B圖可看出,第一實施例之廣角鏡頭1對波長為558.0000nm之光線,於子午(Tangential)方向與弧矢(Sagittal)方向之像散場曲介於-0.050mm至0.025mm之間。 As can be seen from Figure 2B, the astigmatism field curvature of the first embodiment of the wide-angle lens 1 with a wavelength of 558.0000nm is between -0.050mm and 0.025mm in the Tangential direction and the Sagittal direction. .
由第2C圖可看出,第一實施例之廣角鏡頭1對波長為558.0000nm之光線所產生的畸變介於-5%至0%之間。 It can be seen from FIG. 2C that the distortion generated by the wide-angle lens 1 of the first embodiment for light having a wavelength of 558.0000 nm is between -5% and 0%.
顯見第一實施例之廣角鏡頭1之縱向球差、像散場曲、畸變都能被有效修正,從而得到較佳的光學性能。 It is apparent that the longitudinal spherical aberration, astigmatic field curvature, and distortion of the wide-angle lens 1 of the first embodiment can be effectively corrected, thereby obtaining better optical performance.
請參閱第3圖,第3圖係依據本發明之廣角鏡頭之第二實施例的透鏡配置示意圖。廣角鏡頭2沿著一光軸OA2從一物側至一像側依序包括一第一透鏡L21、一第二透鏡L22、一第三透鏡L23、一第四透鏡L24、一第五透鏡L25、一第六透鏡L26、一光圈ST2、一第七透鏡L27、一第八透鏡L28、一第九透鏡L29、一第十透鏡L210、一濾光片OF2及一保護玻璃CG2。成像時,來自物側之光線最後成像於一成像面IMA2上。 Please refer to FIG. 3, which is a schematic diagram of a lens configuration of a second embodiment of a wide-angle lens according to the present invention. The wide-angle lens 2 includes a first lens L21, a second lens L22, a third lens L23, a fourth lens L24, a fifth lens L25, and a lens along an optical axis OA2 in order from an object side to an image side. The sixth lens L26, an aperture ST2, a seventh lens L27, an eighth lens L28, a ninth lens L29, a tenth lens L210, a filter OF2, and a protective glass CG2. During imaging, the light from the object side is finally imaged on an imaging surface IMA2.
第一透鏡L21為彎月型透鏡具有負屈光力由玻璃材質製成,其物側面S21為凸面,像側面S22為凹面,物側面S21與像側面S22皆為球面表面。 The first lens L21 is a meniscus lens and has negative refractive power and is made of glass material. The object side S21 is convex, the image side S22 is concave, and the object side S21 and the image side S22 are spherical surfaces.
第二透鏡L22為彎月型透鏡具有負屈光力由塑膠材質製成,其物側面S23為凸面,像側面S24為凹面,物側面S23與像側面S24皆為非球面表面。 The second lens L22 is a meniscus lens with negative refractive power and is made of a plastic material. The object side S23 is convex, the image side S24 is concave, and both the object side S23 and the image side S24 are aspherical surfaces.
第三透鏡L23為彎月型透鏡具有負屈光力由玻璃材質製成,其物側面S25為凹面,像側面S26為凸面,物側面S25與像側面S26皆為球面表面。 The third lens L23 is a meniscus lens with negative refractive power and is made of glass material. The object side S25 is concave, the image side S26 is convex, and the object side S25 and the image side S26 are spherical surfaces.
第四透鏡L24為雙凸透鏡具有正屈光力由玻璃材質製成,其物側面S27為凸面,像側面S28為凸面,物側面S27與像側面S28皆為球面表面。 The fourth lens L24 is a biconvex lens and has a positive refractive power. The fourth lens L24 is made of glass. The object side S27 is convex, the image side S28 is convex, and the object side S27 and the image side S28 are spherical surfaces.
第五透鏡L25為雙凸透鏡具有正屈光力由玻璃材質製成,其物側面S29為凸面,像側面S210為凸面,物側面S29與像側面S210皆為 球面表面。 The fifth lens L25 is a biconvex lens and has a positive refractive power and is made of glass material. The object side S29 is convex, the image side S210 is convex, and both the object side S29 and the image side S210 are Spherical surface.
第六透鏡L26為雙凹透鏡具有負屈光力由玻璃材質製成,其物側面S210為凹面,像側面S211為凹面,物側面S210與像側面S211皆為球面表面。 The sixth lens L26 is a biconcave lens with negative refractive power and is made of glass material. The object side S210 is concave, the image side S211 is concave, and the object side S210 and the image side S211 are spherical surfaces.
上述第五透鏡L25及第六透鏡L26膠合。 The fifth lens L25 and the sixth lens L26 are cemented.
第七透鏡L27為雙凸透鏡具有正屈光力由玻璃材質製成,其物側面S213為凸面,像側面S214為凸面,物側面S213與像側面S214皆為球面表面。 The seventh lens L27 is a biconvex lens and has a positive refractive power. The seventh lens L27 is made of glass. The object side S213 is convex, the image side S214 is convex, and both the object side S213 and the image side S214 are spherical surfaces.
第八透鏡L28為雙凸透鏡具有正屈光力由玻璃材質製成,其物側面S215為凸面,像側面S216為凸面,物側面S215與像側面S216皆為球面表面。 The eighth lens L28 is a biconvex lens with positive refractive power and is made of glass. The object side S215 is convex, the image side S216 is convex, and the object side S215 and the image side S216 are spherical surfaces.
第九透鏡L29為雙凹透鏡具有負屈光力由玻璃材質製成,其物側面S216為凹面,像側面S217為凹面,物側面S216與像側面S217皆為球面表面。 The ninth lens L29 is a biconcave lens and has a negative refractive power. The ninth lens L29 is made of glass. The object side S216 is concave, the image side S217 is concave, and the object side S216 and the image side S217 are spherical surfaces.
上述第八透鏡L28及第九透鏡L29膠合。 The eighth lens L28 and the ninth lens L29 are cemented.
第十透鏡L210為雙凸透鏡具有正屈光力由塑膠材質製成,其物側面S218為凸面,像側面S219為凸面,物側面S218與像側面S219皆為非球面表面。 The tenth lens L210 is a biconvex lens and has a positive refractive power and is made of a plastic material. Its object side S218 is convex, the image side S219 is convex, and both the object side S218 and the image side S219 are aspherical surfaces.
濾光片OF2其物側面S220與像側面S221皆為平面。 The optical filter OF2 has a flat object side S220 and an image side S221.
保護玻璃CG2其物側面S222與像側面S223皆為平面。 The cover glass CG2 has both an object side surface S222 and an image side surface S223 that are flat.
另外,第二實施例中的廣角鏡頭2滿足底下七條件中任一條件: -20f23/f2-2 (8) In addition, the wide-angle lens 2 in the second embodiment satisfies any of the following seven conditions: -20 f2 3 / f2 -2 (8)
-10f26/f220 (9) -10 f2 6 / f2 20 (9)
2f256/f230 (10) 2 f2 56 / f2 30 (10)
10Vd21/Nd21 40 (11) 10 Vd2 1 / Nd2 1 40 (11)
10Vd24/Nd24 30 (12) 10 Vd2 4 / Nd2 4 30 (12)
0<R231/R232 0.8 (13) 0 <R2 31 / R2 32 0.8 (13)
-0.8R291/R292<0 (14) -0.8 R2 91 / R2 92 <0 (14)
上述f23、f26、f256、f2、Vd21、Nd21、Vd24、Nd24、R231、R232、R291及R292之定義與第一實施例中f13、f16、f156、f1、Vd11、Nd11、Vd14、Nd14、R131、R132、R191及R192之定義相同,在此皆不加以贅述。 The definitions of f2 3 , f2 6 , f2 56 , f2, Vd2 1 , Nd2 1 , Vd2 4 , Nd2 4 , R2 31 , R2 32 , R2 91 and R2 92 are the same as f1 3 , f1 6 , f1 in the first embodiment. The definitions of 56 , f1, Vd1 1 , Nd1 1 , Vd1 4 , Nd1 4 , R1 31 , R1 32 , R1 91, and R1 92 are the same, and are not repeated here.
利用上述透鏡、光圈ST2及滿足條件(8)至條件(14)中任一條件之設計,使得廣角鏡頭2能有效的縮短鏡頭總長度、有效的增加視角、有效的增加亮度、有效的縮小畸變、有效的修正像差。 Utilizing the above-mentioned lens, aperture ST2 and a design that satisfies any one of the conditions (8) to (14), the wide-angle lens 2 can effectively shorten the total lens length, effectively increase the viewing angle, effectively increase the brightness, effectively reduce the distortion, Effectively correct aberrations.
表四為第3圖中廣角鏡頭2之各透鏡之相關參數表,表四資料顯示,第二實施例之廣角鏡頭2之有效焦距等於8.472mm、光圈值等於2.8、鏡頭總長度等於44.000mm、視角等於88.571度。 Table 4 shows the relevant parameters of each lens of the wide-angle lens 2 in Figure 3. The data in Table 4 shows that the effective focal length of the wide-angle lens 2 of the second embodiment is 8.472mm, the aperture value is 2.8, the total lens length is 44.000mm, and the viewing angle is 88.571 degrees.
表四中各個透鏡之非球面表面凹陷度z由下列公式所得到:z=ch2/{1+[1-(k+1)c2h2]1/2}+Ah4+Bh6+Ch8 The aspheric surface depression z of each lens in Table 4 is obtained by the following formula: z = ch 2 / {1+ [1- (k + 1) c 2 h 2 ] 1/2 } + Ah 4 + Bh 6 + Ch 8
其中:c:曲率;h:透鏡表面任一點至光軸之垂直距離;k:圓錐係數;A~C:非球面係數。 Where: c: curvature; h: vertical distance from any point on the lens surface to the optical axis; k: conic coefficient; A ~ C: aspheric coefficient.
表五為表四中各個透鏡之非球面表面之相關參數表,其中k為圓錐係數(Conic Constant)、A~C為非球面係數。 Table 5 is a table of related parameters of the aspheric surface of each lens in Table 4, where k is the Conic Constant and A ~ C are aspheric coefficients.
表六為條件(8)至條件(14)中各參數值及條件(8)至條件(14)之計算值,由表六可知,第二實施例之廣角鏡頭2皆能滿足條件(8)至條 件(14)之要求。 Table 6 shows the parameter values in the conditions (8) to (14) and the calculated values of the conditions (8) to (14). As can be seen from Table 6, the wide-angle lens 2 of the second embodiment can satisfy the conditions (8) to article (14).
其中,若條件(9)f26/f2的值大於20,則難以提供足夠強的屈光度。因此,f26/f2的值至少須小於等於20,所以最佳效果範圍為-10f26/f220,符合該範圍則可提供足夠強的屈光度。 However, if the value of condition (9) f2 6 / f2 is more than 20, it is difficult to provide a sufficiently strong refractive power. Therefore, the value of f2 6 / f2 must be at least 20 or less, so the best effect range is -10 f2 6 / f2 20, within this range can provide a sufficiently strong diopter.
另外,第二實施例之廣角鏡頭2的光學性能也可達到要求,這可從第4A至第4C圖看出。第4A圖所示的,是第二實施例之廣角鏡頭2的縱向球差(Longitudinal Spherical Aberration)圖。第4B圖所示的,是第二實施例之廣角鏡頭2的像散場曲(Astigmatic Field Curves)圖。第4C圖所示的,是第二實施例之廣角鏡頭2的畸變(Distortion)圖。 In addition, the optical performance of the wide-angle lens 2 of the second embodiment can also meet the requirements, which can be seen from FIGS. 4A to 4C. FIG. 4A is a longitudinal spherical aberration diagram of the wide-angle lens 2 of the second embodiment. FIG. 4B is an Astigmatic Field Curves diagram of the wide-angle lens 2 of the second embodiment. FIG. 4C is a distortion view of the wide-angle lens 2 of the second embodiment.
由第4A圖可看出,第二實施例之廣角鏡頭2對波長為455.0000nm、558.0000nm、661.0000nm之光線所產生的縱向球差值介於-0.025mm至0.025mm之間。 It can be seen from FIG. 4A that the longitudinal spherical aberration value generated by the wide-angle lens 2 of the second embodiment for light having wavelengths of 455.0000 nm, 558.0000 nm, and 661.0000 nm is between -0.025 mm and 0.025 mm.
由第4B圖可看出,第二實施例之廣角鏡頭2對波長為558.0000nm之光線,於子午(Tangential)方向與弧矢(Sagittal)方向之像散場曲介於-0.050mm至0.050mm之間。 As can be seen from FIG. 4B, the astigmatism field curvature of the wide-angle lens 2 of the second embodiment at a wavelength of 558.0000 nm is between -0.050 mm and 0.050 mm in the Tangential direction and the Sagittal direction. .
由第4C圖可看出,第二實施例之廣角鏡頭2對波長為558.0000nm之光線所產生的畸變介於-5%至0%之間。 It can be seen from FIG. 4C that the distortion generated by the wide-angle lens 2 of the second embodiment for light having a wavelength of 558.0000 nm is between -5% and 0%.
顯見第二實施例之廣角鏡頭2之縱向球差、像散場曲、畸變都能被有效修正,從而得到較佳的光學性能。 It is obvious that the longitudinal spherical aberration, astigmatic field curvature, and distortion of the wide-angle lens 2 of the second embodiment can be effectively corrected, thereby obtaining better optical performance.
請參閱第5圖,第5圖係依據本發明之廣角鏡頭之第三實施例的透鏡配置示意圖。廣角鏡頭3沿著一光軸OA3從一物側至一像側依序包括一第一透鏡L31、一第二透鏡L32、一第三透鏡L33、一第四透鏡L34、一第五透鏡L35、一第六透鏡L36、一光圈ST3、一第七透鏡L37、一第八透鏡L38、一第九透鏡L39、一第十透鏡L310、一濾光片OF3及一保護玻璃CG3。成像時,來自物側之光線最後成像於一成像面IMA3上。 Please refer to FIG. 5, which is a schematic diagram of a lens configuration of a third embodiment of a wide-angle lens according to the present invention. The wide-angle lens 3 includes a first lens L31, a second lens L32, a third lens L33, a fourth lens L34, a fifth lens L35, and a lens along an optical axis OA3 in order from an object side to an image side. The sixth lens L36, an aperture ST3, a seventh lens L37, an eighth lens L38, a ninth lens L39, a tenth lens L310, a filter OF3, and a protective glass CG3. During imaging, the light from the object side is finally imaged on an imaging surface IMA3.
第一透鏡L31為彎月型透鏡具有負屈光力由玻璃材質製成,其物側面S31為凸面,像側面S32為凹面,物側面S31與像側面S32皆為球面表面。 The first lens L31 is a meniscus lens with negative refractive power and is made of glass material. The object side S31 is convex, the image side S32 is concave, and the object side S31 and the image side S32 are spherical surfaces.
第二透鏡L32為彎月型透鏡具有負屈光力由塑膠材質製成,其物側面S33為凸面,像側面S34為凹面,物側面S33與像側面S34皆為非球面表面。 The second lens L32 is a meniscus lens with negative refractive power and is made of a plastic material. The object side S33 is convex, the image side S34 is concave, and both the object side S33 and the image side S34 are aspherical surfaces.
第三透鏡L33為彎月型透鏡具有負屈光力由玻璃材質製成,其物側面S35為凹面,像側面S36為凸面,物側面S35與像側面S36皆為球面表面。 The third lens L33 is a meniscus lens with negative refractive power and is made of glass. The object side S35 is concave, the image side S36 is convex, and both the object side S35 and the image side S36 are spherical surfaces.
第四透鏡L34為雙凸透鏡具有正屈光力由玻璃材質製成,其物側面S37為凸面,像側面S38為凸面,物側面S37與像側面S38皆為球面表面。 The fourth lens L34 is a biconvex lens and has a positive refractive power. The fourth lens L34 is made of glass. The object side S37 is convex, the image side S38 is convex, and the object side S37 and the image side S38 are spherical surfaces.
第五透鏡L35為雙凸透鏡具有正屈光力由玻璃材質製成,其物側面S39為凸面,像側面S310為凸面,物側面S39與像側面S310皆為球面表面。 The fifth lens L35 is a biconvex lens and has a positive refractive power. The fifth lens L35 is made of glass. The object side S39 is convex, the image side S310 is convex, and the object side S39 and the image side S310 are spherical surfaces.
第六透鏡L36為彎月型透鏡具有負屈光力由玻璃材質製成,其物側面S310為凹面,像側面S311為凸面,物側面S310與像側面S311皆為球面表面。 The sixth lens L36 is a meniscus lens with negative refractive power and is made of glass. The object side S310 is concave, the image side S311 is convex, and the object side S310 and the image side S311 are spherical surfaces.
上述第五透鏡L35及第六透鏡L36膠合。 The fifth lens L35 and the sixth lens L36 are cemented.
第七透鏡L37為雙凸透鏡具有正屈光力由玻璃材質製成,其物側面S313為凸面,像側面S314為凸面,物側面S313與像側面S314皆為球面表面。 The seventh lens L37 is a biconvex lens and has a positive refractive power. The seventh lens L37 is made of glass. The object side S313 is convex, the image side S314 is convex, and the object side S313 and the image side S314 are spherical surfaces.
第八透鏡L38為雙凸透鏡具有正屈光力由玻璃材質製成,其物側面S315為凸面,像側面S316為凸面,物側面S315與像側面S316皆為球面表面。 The eighth lens L38 is a biconvex lens and has a positive refractive power and is made of glass. The object side S315 is convex, the image side S316 is convex, and the object side S315 and the image side S316 are spherical surfaces.
第九透鏡L39為雙凹透鏡具有負屈光力由玻璃材質製成,其物側面S316為凹面,像側面S317為凹面,物側面S316與像側面S317皆為球面表面。 The ninth lens L39 is a biconcave lens with negative refractive power and is made of glass material. The object side S316 is concave, the image side S317 is concave, and the object side S316 and the image side S317 are spherical surfaces.
上述第八透鏡L38及第九透鏡L39膠合。 The eighth lens L38 and the ninth lens L39 are cemented.
第十透鏡L310為雙凸透鏡具有正屈光力由塑膠材質製成,其物側面S318為凸面,像側面S319為凸面,物側面S318與像側面S319皆為非球面表面。 The tenth lens L310 is a biconvex lens with positive refractive power and is made of plastic material. Its object side S318 is convex, the image side S319 is convex, and both the object side S318 and the image side S319 are aspherical surfaces.
濾光片OF3其物側面S320與像側面S321皆為平面。 The object side S320 and the image side S321 of the filter OF3 are flat.
保護玻璃CG3其物側面S322與像側面S323皆為平面。 The cover glass CG3 has an object side surface S322 and an image side surface S323 that are both flat.
另外,第三實施例中的廣角鏡頭3滿足底下七條件中任一條件:-20f33/f3-2 (15) In addition, the wide-angle lens 3 in the third embodiment satisfies any of the following seven conditions: -20 f3 3 / f3 -2 (15)
-10f36/f320 (16) -10 f3 6 / f3 20 (16)
2f356/f330 (17) 2 f3 56 / f3 30 (17)
10Vd31/Nd31 40 (18) 10 Vd3 1 / Nd3 1 40 (18)
10Vd34/Nd34 30 (19) 10 Vd3 4 / Nd3 4 30 (19)
0<R331/R332 0.8 (20) 0 <R3 31 / R3 32 0.8 (20)
-0.8R391/R392<0 (21) -0.8 R3 91 / R3 92 <0 (21)
上述f33、f36、f356、f3、Vd31、Nd31、Vd34、Nd34、R331、R332、R391及R392之定義與第一實施例中f13、f16、f156、f1、Vd11、Nd11、Vd14、Nd14、R131、R132、R191及R192之定義相同,在此皆不加以贅述。 The definitions of f3 3 , f3 6 , f3 56 , f3, Vd3 1 , Nd3 1 , Vd3 4 , Nd3 4 , R3 31 , R3 32 , R3 91 and R3 92 are the same as f1 3 , f1 6 , f1 in the first embodiment. The definitions of 56 , f1, Vd1 1 , Nd1 1 , Vd1 4 , Nd1 4 , R1 31 , R1 32 , R1 91, and R1 92 are the same, and are not repeated here.
利用上述透鏡、光圈ST3及滿足條件(15)至條件(21)中任一條件之設計,使得廣角鏡頭3能有效的縮短鏡頭總長度、有效的增加視角、有效的增加亮度、有效的縮小畸變、有效的修正像差。 Utilizing the above-mentioned lens, aperture ST3 and a design that satisfies any one of the conditions (15) to (21), the wide-angle lens 3 can effectively shorten the total length of the lens, effectively increase the angle of view, effectively increase the brightness, effectively reduce the distortion, Effectively correct aberrations.
表七為第5圖中廣角鏡頭3之各透鏡之相關參數表,表 七資料顯示,第三實施例之廣角鏡頭3之有效焦距等於8.461mm、光圈值等於2.8、鏡頭總長度等於41.000mm、視角等於88.183度。 Table 7 is the relevant parameter table of each lens of the wide-angle lens 3 in Figure 5. Seven data show that the effective focal length of the wide-angle lens 3 of the third embodiment is 8.461mm, the aperture value is 2.8, the total lens length is 41.000mm, and the viewing angle is 88.183 degrees.
表七中各個透鏡之非球面表面凹陷度z由下列公式所得到:z=ch2/{1+[1-(k+1)c2h2]1/2}+Ah4+Bh6+Ch8 The aspheric surface depression z of each lens in Table 7 is obtained by the following formula: z = ch 2 / {1+ [1- (k + 1) c 2 h 2 ] 1/2 } + Ah 4 + Bh 6 + Ch 8
其中:c:曲率;h:透鏡表面任一點至光軸之垂直距離;k:圓錐係數;A~C:非球面係數。 Where: c: curvature; h: vertical distance from any point on the lens surface to the optical axis; k: conic coefficient; A ~ C: aspheric coefficient.
表八為表七中各個透鏡之非球面表面之相關參數表,其中k為圓錐係數(Conic Constant)、A~C為非球面係數。 Table 8 is a table of related parameters of the aspheric surface of each lens in Table 7, where k is the Conic Constant and A ~ C are aspheric coefficients.
表九為條件(15)至條件(21)中各參數值及條件(15)至條件(21)之計算值,由表九可知,第三實施例之廣角鏡頭3皆能滿足條件(15)至條件(21)之要求。 Table 9 shows the parameter values in the conditions (15) to (21) and the calculated values of the conditions (15) to (21). As can be seen from Table 9, the wide-angle lens 3 of the third embodiment can satisfy the conditions (15) to Requirement of Condition (21).
其中,若條件(18)Vd31/Nd31的值大於40,則使消色差的功 能欠佳。因此,Vd31/Nd31的值至少須小於等於40,所以最佳效果範圍為10Vd31/Nd31 40,符合該範圍則具有最佳消色差條件。 Among them, if the value of the condition (18) Vd3 1 / Nd3 1 is more than 40, the achromatic function is poor. Therefore, the value of Vd3 1 / Nd3 1 must be at least 40 or less, so the best effect range is 10 Vd3 1 / Nd3 1 40, which meets this range has the best achromatic conditions.
另外,第三實施例之廣角鏡頭3的光學性能也可達到要求,這可從第6A至第6C圖看出。第6A圖所示的,是第三實施例之廣角鏡頭3的縱向球差(Longitudinal Spherical Aberration)圖。第6B圖所示的,是第三實施例之廣角鏡頭3的像散場曲(Astigmatic Field Curves)圖。第6C圖所示的,是第三實施例之廣角鏡頭3的畸變(Distortion)圖。 In addition, the optical performance of the wide-angle lens 3 of the third embodiment can also meet requirements, which can be seen from FIGS. 6A to 6C. FIG. 6A is a longitudinal spherical aberration diagram of the wide-angle lens 3 according to the third embodiment. FIG. 6B is an Astigmatic Field Curves diagram of the wide-angle lens 3 of the third embodiment. FIG. 6C is a distortion view of the wide-angle lens 3 of the third embodiment.
由第6A圖可看出,第三實施例之廣角鏡頭3對波長為455.0000nm、558.0000nm、661.0000nm之光線所產生的縱向球差值介於-0.025mm至0.025mm之間。 It can be seen from FIG. 6A that the longitudinal spherical aberration value generated by the wide-angle lens 3 of the third embodiment for light with wavelengths of 455.0000 nm, 558.0000 nm, and 661.0000 nm is between -0.025 mm and 0.025 mm.
由第6B圖可看出,第三實施例之廣角鏡頭3對波長為558.0000nm之光線,於子午(Tangential)方向與弧矢(Sagittal)方向之像散場曲介於-0.075mm至0.025mm之間。 It can be seen from FIG. 6B that the astigmatism field curvature of the third embodiment of the wide-angle lens 3 with a wavelength of 558.0000 nm is between -0.075 mm and 0.025 mm in the Tangential direction and the Sagittal direction. .
由第6C圖可看出,第三實施例之廣角鏡頭3對波長為558.0000nm之光線所產生的畸變介於-5%至0%之間。 It can be seen from FIG. 6C that the distortion generated by the wide-angle lens 3 of the third embodiment for light having a wavelength of 558.0000 nm is between -5% and 0%.
顯見第三實施例之廣角鏡頭3之縱向球差、像散場曲、畸變都能被有效修正,從而得到較佳的光學性能。 It is apparent that the longitudinal spherical aberration, astigmatic field curvature, and distortion of the wide-angle lens 3 of the third embodiment can be effectively corrected, thereby obtaining better optical performance.
本發明符合的公式以-20f3/f-2、-10f6/f20及10Vd1/Nd1 40為中心,本發明實施例的數值也落入其餘公式的範圍內。 公式-20f3/f-2及-10f6/f20,可提供足夠強的屈光度。公式10Vd1/Nd1 40,可使消色差表現較佳。 The formula that the present invention conforms to is -20 f 3 / f -2, -10 f 6 / f 20 and 10 Vd 1 / Nd 1 40 is the center, and the numerical values of the embodiments of the present invention also fall within the range of the remaining formulas. Formula-20 f 3 / f -2 and -10 f 6 / f 20, can provide a strong enough diopter. Formula 10 Vd 1 / Nd 1 40, can make achromatic performance better.
雖然本發明已用較佳實施例揭露如上,然其並非用以限定 本發明,本發明所屬技術領域中具有通常知識者,在不脫離本發明之精神和範圍內,當可作各種之更動與潤飾,因此本發明之保護範圍當視後附之申請專利範圍所界定者為準。 Although the present invention has been disclosed as above with the preferred embodiment, it is not intended to limit it. The present invention, those with ordinary knowledge in the technical field to which the present invention pertains, can make various modifications and retouching without departing from the spirit and scope of the present invention. Therefore, the protection scope of the present invention shall be defined by the scope of the attached patent application. Whichever comes first.
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