TW201730619A - Wide-angle lens - Google Patents

Wide-angle lens Download PDF

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TW201730619A
TW201730619A TW105105814A TW105105814A TW201730619A TW 201730619 A TW201730619 A TW 201730619A TW 105105814 A TW105105814 A TW 105105814A TW 105105814 A TW105105814 A TW 105105814A TW 201730619 A TW201730619 A TW 201730619A
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lens
wide
angle
refractive power
image side
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TW105105814A
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Chinese (zh)
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TWI701457B (en
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施柏源
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亞太精密工業(深圳)有限公司
亞太光電股份有限公司
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Abstract

A wide-angle lens includes a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens and an eighth lens, all of which are arranged in sequence from an object side to an image side along an optical axis. The first lens is a convex-concave lens with negative refractive power and includes a convex surface facing the object side and a concave surface facing the image side. The second lens is a biconcave lens with negative refractive power. The third lens is a biconvex lens with positive refractive power. The fourth lens includes a convex surface facing the object side. The fifth lens is with positive refractive power and includes a convex surface facing the image side. The sixth lens is a biconvex lens with positive refractive power. The seventh lens is a biconcave lens with negative refractive power. The eighth lens is a biconvex lens with positive refractive power.

Description

廣角鏡頭 Wide-angle lens

本發明係有關於一種廣角鏡頭。 The present invention relates to a wide-angle lens.

現今的廣角鏡頭之發展趨勢,除了不斷朝向小型化與廣視角化發展外,隨著不同的應用需求,還需同時具備高解析度與抗環境溫度變化的能力,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,才能同時滿足小型化、廣視角、高解析度及抗環境溫度變化的需求。 The development trend of today's wide-angle lens, in addition to the continuous development towards miniaturization and wide viewing angle, with the need of high resolution and resistance to environmental temperature changes with different application requirements, the conventional wide-angle lens can no longer meet the needs of today. Demand, there needs to be another wide-angle lens with a new architecture to meet the needs of miniaturization, wide viewing angle, high resolution and resistance to ambient temperature changes.

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、抗環境溫度變化,但是仍具有良好的光學性能,鏡頭解析度也能滿足要求。 In view of this, the main object of the present invention is to provide a wide-angle lens with a short total lens length, a large viewing angle, and resistance to environmental temperature changes, but still has good optical performance, and the lens resolution can also meet the requirements.

本發明之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、一第七透鏡及一第八透鏡。第一透鏡為凸凹透鏡具有負屈光力,此第一透鏡之凸面朝向物側凹面朝向像側。第二透鏡為雙凹透鏡具有負屈光力。第三透鏡為雙凸透鏡具有正屈光力。第四透鏡包括一凸面,此凸面朝向物側。第五透鏡具有正屈光力且包括一凸面,此凸面朝向像側。第六透鏡為雙凸透鏡具有正屈光力。第七透鏡為雙凹透鏡具有負屈光力。第八透鏡為雙凸透鏡具有正屈光力。 The wide-angle lens of the present invention sequentially includes a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, and an image from an object side to an image side along an optical axis. a seventh lens and an eighth lens. The first lens has a convex-concave lens having a negative refractive power, and the convex surface of the first lens faces the object side concave surface toward the image side. The second lens is a biconcave lens having a negative refractive power. The third lens is a lenticular lens having a positive refractive power. The fourth lens includes a convex surface that faces the object side. The fifth lens has a positive refractive power and includes a convex surface that faces the image side. The sixth lens is a lenticular lens having a positive refractive power. The seventh lens is a biconcave lens having a negative refractive power. The eighth lens is a lenticular lens having a positive refractive power.

其中第四透鏡及第五透鏡膠合成一膠合透鏡。 The fourth lens and the fifth lens glue are combined into a cemented lens.

其中第六透鏡及第七透鏡膠合成一膠合透鏡。 The sixth lens and the seventh lens glue are combined into a cemented lens.

其中第七透鏡滿足以下條件:-110(R71-R72)/(R71+R72)-1;其中,R71為第七透鏡之物側面之曲率半徑,R72為第七透鏡之像側面之曲率半徑。 Wherein the seventh lens satisfies the following condition: -110 (R 71 -R 72 )/(R 71 +R 72 ) -1; wherein R 71 is the radius of curvature of the side surface of the seventh lens, and R 72 is the radius of curvature of the image side of the seventh lens.

其中第四透鏡滿足以下條件:-20f4/f20;其中,f4為第四透鏡之有效焦距,f為廣角鏡頭之有效焦距。 The fourth lens satisfies the following conditions: -20 f 4 /f 20; wherein f 4 is the effective focal length of the fourth lens, and f is the effective focal length of the wide-angle lens.

其中第六透鏡及第七透鏡滿足以下條件:-30f67/f-5;其中,f67為第六透鏡及第七透鏡膠合成一膠合透鏡之有效焦距,f為廣角鏡頭之有效焦距。 The sixth lens and the seventh lens satisfy the following conditions: -30 f 67 /f -5; wherein f 67 is the effective focal length of the sixth lens and the seventh lens glue to form a cemented lens, and f is the effective focal length of the wide-angle lens.

其中第四透鏡滿足以下條件:5Vd4/Nd4 50;其中,Vd4為第四透鏡之阿貝係數,Nd4為第四透鏡之折射率。 The fourth lens satisfies the following conditions: 5 Vd 4 /Nd 4 50; wherein Vd 4 is the Abbe coefficient of the fourth lens, and Nd 4 is the refractive index of the fourth lens.

其中第一透鏡、第二透鏡、第三透鏡、第四透鏡、第五透鏡、第六透鏡、第七透鏡及第八透鏡係由玻璃材質製成。 The first lens, the second lens, the third lens, the fourth lens, the fifth lens, the sixth lens, the seventh lens, and the eighth lens are made of a glass material.

其中第二透鏡及第八透鏡之每一透鏡中至少有一面為非球面表面。 At least one of each of the second lens and the eighth lens is an aspherical surface.

本發明之廣角鏡頭可更包括一光圈,設置於第三透鏡與第四透鏡之間。 The wide-angle lens of the present invention may further include an aperture disposed between the third lens and the fourth 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。 The above described objects, features, and advantages of the invention will be apparent from the description and appended claims

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

ST1、ST2、ST3‧‧‧光圈 ST1, ST2, ST3‧‧ ‧ aperture

OF1、OF2、OF3‧‧‧濾光片 OF1, OF2, OF3‧‧‧ Filters

IMA1、IMA2、IMA3‧‧‧成像面 IMA1, IMA2, IMA3‧‧‧ imaging surface

OA1、OA2、OA3‧‧‧光軸 OA1, OA2, OA3‧‧‧ optical axis

S11、S12、S13、S14、S15、S16、S17‧‧‧面 S11, S12, S13, S14, S15, S16, S17‧‧

S18、S19、S110、S111、S112、S113‧‧‧面 S18, S19, S110, S111, S112, S113‧‧‧

S114、S115、S116、S117‧‧‧面 S114, S115, S116, S117‧‧‧

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‧‧‧

S214、S215、S216、S217‧‧‧面 S214, S215, S216, S217‧‧‧

S31、S32、S33、S34、S35、S36、S37‧‧‧面 S31, S32, S33, S34, S35, S36, S37‧‧

S38、S39、S310、S311、S312、S313‧‧‧面 S38, S39, S310, S311, S312, S313‧‧

S314、S315、S316、S317‧‧‧面 S314, S315, S316, S317‧‧‧

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與光路示意圖。 1 is a schematic view showing a lens configuration and an optical path 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圖。 Fig. 2A is a longitudinal spherical aberration diagram of the wide-angle lens of Fig. 1.

第2B圖係第1圖之廣角鏡頭之像散場曲圖。 Fig. 2B is an astigmatic field curvature diagram of the wide-angle lens of Fig. 1.

第2C圖係第1圖之廣角鏡頭之畸變圖。 Fig. 2C is a distortion diagram of the wide-angle lens of Fig. 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與光路示意圖。 Fig. 3 is a view showing a lens configuration and an optical path of a second embodiment of the 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圖。 Fig. 4A is a longitudinal spherical aberration diagram of the wide-angle lens of Fig. 3.

第4B圖係第3圖之廣角鏡頭之像散場曲圖。 Fig. 4B is an astigmatic field curvature diagram of the wide-angle lens of Fig. 3.

第4C圖係第3圖之廣角鏡頭之畸變圖。 Figure 4C is a distortion diagram of the wide-angle lens of 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與光路示意圖。 Fig. 5 is a view showing a lens configuration and an optical path of a third embodiment of the 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圖。 Fig. 6A is a longitudinal spherical aberration diagram of the wide-angle lens of Fig. 5.

第6B圖係第5圖之廣角鏡頭之像散場曲圖。 Fig. 6B is an astigmatic field curvature diagram of the wide-angle lens of Fig. 5.

第6C圖係第5圖之廣角鏡頭之畸變圖。 Fig. 6C is a distortion diagram of the wide-angle lens of Fig. 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與光路示意圖。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、一光圈ST1、一第四透鏡L14、一第五透鏡L15、一第六透鏡L16、一第七透鏡L17、一第八透鏡L18及一濾光片OF1。成像時,來自物側之光線最後成像於一成像面IMA1上。第一透鏡L11為凸凹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。第二透鏡L12為雙凹透鏡具有負屈光力由玻璃材質製成,其物側面S13為非球面表面,像側面S14為非球面表面。第三透鏡L13為雙凸透鏡具有正屈光力由玻璃材質製成,其物側面S15為球面表面,像側面S16 為球面表面。第四透鏡L14為凸凹透鏡具有負屈光力由玻璃材質製成,其物側面S18為凸面像側面S19為凹面,物側面S18與像側面S19皆為球面表面。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與像側面S110皆為球面表面。第四透鏡L14與第五透鏡L15膠合成一膠合透鏡。第六透鏡L16為雙凸透鏡具有正屈光力由玻璃材質製成,其物側面S111與像側面S112皆為球面表面。第七透鏡L17為雙凹透鏡具有負屈光力由玻璃材質製成,其物側面S112與像側面S113皆為球面表面。第六透鏡L16與第七透鏡L17膠合成一膠合透鏡。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S114與像側面S115皆為非球面表面。濾光片OF1其物側面S116與像側面S117皆為平面。 Please refer to FIG. 1. FIG. 1 is a schematic diagram showing a lens configuration and an optical path of a first embodiment of a wide-angle lens according to the present invention. The wide-angle lens 1 sequentially includes a first lens L11, a second lens L12, a third lens L13, an aperture ST1, a fourth lens L14, and a fifth from an object side to an image side along an optical axis OA1. The lens L15, a sixth lens L16, a seventh lens L17, an eighth lens L18, and a filter OF1. At the time of imaging, the light from the object side is finally imaged on an image plane IMA1. The first lens L11 is a convex-concave lens having a negative refractive power made of a glass material, the object side surface S11 is a convex surface, the image side surface S12 is a concave surface, and the object side surface S11 and the image side surface S12 are spherical surfaces. The second lens L12 is a biconcave lens having a negative refractive power made of a glass material, the object side surface S13 being an aspherical surface, and the image side surface S14 being an aspherical surface. The third lens L13 is a lenticular lens having a positive refractive power made of a glass material, and the object side surface S15 is a spherical surface, and the image side surface S16 It is a spherical surface. The fourth lens L14 is a convex-concave lens having a negative refractive power made of a glass material, and the object side surface S18 has a convex image side surface S19 as a concave surface, and the object side surface S18 and the image side surface S19 are spherical surfaces. The fifth lens L15 is a lenticular lens having a positive refractive power made of a glass material, and both the object side surface S19 and the image side surface S110 are spherical surfaces. The fourth lens L14 and the fifth lens L15 are glued to form a cemented lens. The sixth lens L16 is a lenticular lens having a positive refractive power made of a glass material, and both the object side surface S111 and the image side surface S112 are spherical surfaces. The seventh lens L17 is a biconcave lens having a negative refractive power and is made of a glass material, and both the object side surface S112 and the image side surface S113 are spherical surfaces. The sixth lens L16 and the seventh lens L17 are glued to form a cemented lens. The eighth lens L18 is a lenticular lens having a positive refractive power made of a glass material, and both the object side surface S114 and the image side surface S115 are aspherical surfaces. The filter OF1 has a flat surface S116 and an image side surface S117.

另外,為使本發明之廣角鏡頭能保持良好的光學性能,第一實施例中的廣角鏡頭1需滿足底下四條件: In addition, in order to maintain good optical performance of the wide-angle lens of the present invention, the wide-angle lens 1 of the first embodiment is required to satisfy the following four conditions:

其中,R171為第七透鏡L17之物側面S112之曲率半徑,R172為第七透鏡L17之像側面S113之曲率半徑,f14為第四透鏡L14之有效焦距,f1為廣角鏡頭1之有效焦距,f167為第六透鏡L16與第七透鏡L17膠合成一膠合透鏡之有效焦距,Vd14為第四透鏡L14之阿貝係數,Nd14為第四透鏡L14之折射率。 Wherein, R1 71 is the radius of curvature of the object side surface S112 of the seventh lens L17, R1 72 is the radius of curvature of the image side surface S113 of the seventh lens L17, f1 4 is the effective focal length of the fourth lens L14, and f1 is the effective focal length of the wide-angle lens 1. F1 67 is an effective focal length of the cementation lens of the sixth lens L16 and the seventh lens L17, Vd1 4 is the Abbe coefficient of the fourth lens L14, and Nd1 4 is the refractive index of the fourth lens L14.

利用上述透鏡與光圈ST1之設計,使得廣角鏡頭1能有效的縮短鏡頭總長度、提高視角、有效的修正像差、提升鏡頭解析度、降低溫度變化對鏡頭解析度的影響。 By adopting the above-mentioned design of the lens and the aperture ST1, the wide-angle lens 1 can effectively shorten the total length of the lens, improve the viewing angle, effectively correct the aberration, improve the resolution of the lens, and reduce the influence of the temperature change on the resolution of the lens.

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1.8288mm、光圈值等於2.0、視角等於174.3°、鏡頭總長度等於17.625mm。 Table 1 is the relevant parameter table of each lens of the wide-angle lens 1 in Fig. 1. Table 1 shows that the effective focal length of the wide-angle lens 1 of the first embodiment is equal to 1.8288 mm, the aperture value is equal to 2.0, the viewing angle is equal to 174.3°, and the total length of the lens is equal to 17.625mm.

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+Dh10 The aspherical 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 +Dh 10

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~D: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~D: 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~D為非球面係數。 Table 2 is a table of related parameters of the aspherical surface of each lens in Table 1, where k is a conical coefficient (Conic Constant) and A~D is an aspherical coefficient.

第一實施例之廣角鏡頭1,其第七透鏡L17之物側面S112之曲率半徑R171=-3.32024mm,第七透鏡L17之像側面S113之曲率半徑R172=7.62421mm,第四透鏡L14之有效焦距f14=-8.6650mm,廣角鏡頭1之有效焦距f1=1.8288mm,第六透鏡L16與第七透鏡L17膠合成一膠合透鏡之有效焦距f167=-15.24650mm,第四透鏡L14之阿貝係數Vd14=58.6,第四透鏡L14之折射率Nd14=1.652,由上述資料可得到(R171-R172)/(R171+R172)=-2.543、f14/f1=-4.738、f167/f1=-8.337、Vd14/Nd14=35.451,皆能滿足上述條件(1)至條件(4)之要求。 In the wide-angle lens 1 of the first embodiment, the radius of curvature R1 71 of the object lens S11 of the seventh lens L17 is -3.32024 mm, and the radius of curvature R1 72 of the image side surface S113 of the seventh lens L17 is 7.62421 mm, and the fourth lens L14 is effective. The focal length f1 4 =-8.6650mm, the effective focal length of the wide-angle lens 1 is f1=1.8288mm, and the effective focal length f1 67 of the second lens L16 and the seventh lens L17 is -15.24650mm, and the Abbe coefficient of the fourth lens L14 Vd1 4 = 58.6, and the refractive index of the fourth lens L14 is Nd1 4 = 1.652. From the above data, (R1 71 - R1 72 ) / (R1 71 + R1 72 ) = -2.543, f1 4 / f1 = - 4.738, f1 67 /f1=-8.337, Vd1 4 /Nd1 4 =35.451, all of which can meet the requirements of the above conditions (1) to (4).

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 be achieved, which can be seen from the 2A to 2C drawings. Fig. 2A is a longitudinal Spherical Aberration diagram of the wide-angle lens 1 of the first embodiment. Fig. 2B is an astigmatism field curve diagram of the wide-angle lens 1 of the first embodiment. Fig. 2C is a distortion diagram 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436.000nm、546.000nm、656.000nm之光線所產生的縱向球差值介於-0.02mm至0.00mm之間。由第2B圖可看出,第一實施例之廣角鏡頭1對波長為546.000nm之光線,於子午(Tangential)方向與弧矢(Sagittal)方向之像散場曲介於-0.13mm至0.02mm之間。由第2C圖可看出,第一實施例之廣角鏡頭1對波長為546.000nm之光線所產生的畸變介於-100%至0%之間。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。 As can be seen from FIG. 2A, the wide-angle lens 1 of the first embodiment produces a longitudinal spherical difference between -0.02 mm and 0.00 mm for light having a wavelength of 436.000 nm, 546.000 nm, and 656.000 nm. As can be seen from FIG. 2B, the wide-angle lens 1 of the first embodiment has a astigmatic field curvature between -0.13 mm and 0.02 mm in the direction of the tangential direction and the sagittal direction for the light having a wavelength of 546.000 nm. . As can be seen from FIG. 2C, the wide-angle lens 1 of the first embodiment produces a distortion of between -100% and 0% for light having a wavelength of 546.000 nm. It can be seen that the longitudinal spherical aberration, the astigmatic field curvature, and the 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 施例的透鏡配置與光路示意圖。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、一光圈ST2、一第四透鏡L24、一第五透鏡L25、一第六透鏡L26、一第七透鏡L27、一第八透鏡L28及一濾光片OF2。成像時,來自物側之光線最後成像於一成像面IMA2上。第一透鏡L21為凸凹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。第二透鏡L22為雙凹透鏡具有負屈光力由玻璃材質製成,其物側面S23為非球面表面,像側面S24為非球面表面。第三透鏡L23為雙凸透鏡具有正屈光力由玻璃材質製成,其物側面S25為球面表面,像側面S26為球面表面。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S28與像側面S29皆為球面表面。第五透鏡L25為凹凸透鏡具有正屈光力由玻璃材質製成,其物側面S29與像側面S210皆為球面表面。第四透鏡L24與第五透鏡L25膠合成一膠合透鏡。第六透鏡L26為雙凸透鏡具有正屈光力由玻璃材質製成,其物側面S211與像側面S212皆為球面表面。第七透鏡L27為雙凹透鏡具有負屈光力由玻璃材質製成,其物側面S212與像側面S213皆為球面表面。第六透鏡L26與第七透鏡L27膠合成一膠合透鏡。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S214與像側面S215皆為非球面表面。濾光片OF2其物側面S216與像側面S217皆為平面。 Please refer to FIG. 3, which is a second embodiment of the wide-angle lens according to the present invention. A schematic diagram of the lens configuration and optical path of the embodiment. The wide-angle lens 2 sequentially includes a first lens L21, a second lens L22, a third lens L23, an aperture ST2, a fourth lens L24, and a fifth from an object side to an image side along an optical axis OA2. The lens L25, a sixth lens L26, a seventh lens L27, an eighth lens L28, and a filter OF2. At the time of imaging, the light from the object side is finally imaged on an image plane IMA2. The first lens L21 is a convex-concave lens having a negative refractive power made of a glass material, the object side surface S21 is a convex surface, the image side surface S22 is a concave surface, and the object side surface S21 and the image side surface S22 are spherical surfaces. The second lens L22 is a biconcave lens having a negative refractive power made of a glass material, the object side surface S23 being an aspherical surface, and the image side surface S24 being an aspherical surface. The third lens L23 is a lenticular lens having a positive refractive power made of a glass material, the object side surface S25 being a spherical surface, and the image side surface S26 being a spherical surface. The fourth lens L24 is a lenticular lens having a positive refractive power made of a glass material, and both the object side surface S28 and the image side surface S29 are spherical surfaces. The fifth lens L25 is a meniscus lens having a positive refractive power made of a glass material, and both the object side surface S29 and the image side surface S210 are spherical surfaces. The fourth lens L24 and the fifth lens L25 are glued to form a cemented lens. The sixth lens L26 is a lenticular lens having a positive refractive power made of a glass material, and both the object side surface S211 and the image side surface S212 are spherical surfaces. The seventh lens L27 is a biconcave lens having a negative refractive power made of a glass material, and both the object side surface S212 and the image side surface S213 are spherical surfaces. The sixth lens L26 and the seventh lens L27 are glued to form a cemented lens. The eighth lens L28 is a lenticular lens having a positive refractive power made of a glass material, and both the object side surface S214 and the image side surface S215 are aspherical surfaces. The filter side OF2 has a flat surface S216 and an image side surface S217.

另外,為使本發明之廣角鏡頭能保持良好的光學性能,第二實施例中的廣角鏡頭2需滿足底下四條件: In addition, in order to maintain good optical performance of the wide-angle lens of the present invention, the wide-angle lens 2 of the second embodiment is required to satisfy the following four conditions:

其中,R271為第七透鏡L27之物側面S212之曲率半徑,R272為第七透鏡L27之像側面S213之曲率半徑,f24為第四透鏡L24之有效焦距,f2為廣角鏡頭2之有效焦距,f267為第六透鏡L26與第七透鏡L27膠合成一膠合透鏡之有效焦距,Vd24為第四透鏡L24之阿貝係數,Nd24為第四透鏡L24之折射率。 Wherein, R2 71 is the radius of curvature of the object side surface S212 of the seventh lens L27, R2 72 is the radius of curvature of the image side surface S213 of the seventh lens L27, f2 4 is the effective focal length of the fourth lens L24, and f2 is the effective focal length of the wide-angle lens 2. , f2 67 synthesis effective focal length of a lens of the cemented lens L26 to the sixth and the seventh lens L27 gum, Vd2 4 Abbe number of the fourth lens L24 of, Nd2 4 is the refractive index of the fourth lens L24.

利用上述透鏡與光圈ST2之設計,使得廣角鏡頭2能有效的縮短鏡頭總長度、提高視角、有效的修正像差、提升鏡頭解析度、降低溫度變化對鏡頭解析度的影響。 By using the above-mentioned lens and aperture ST2 design, the wide-angle lens 2 can effectively shorten the total length of the lens, improve the viewing angle, effectively correct the aberration, improve the lens resolution, and reduce the influence of temperature changes on the lens resolution.

表三為第3圖中廣角鏡頭2之各透鏡之相關參數表,表三資料顯示,第二實施例之廣角鏡頭2之有效焦距等於1.8287mm、光圈值等於2.0、視角等於173.9°、鏡頭總長度等於18.000mm。 Table 3 is the relevant parameter table of each lens of the wide-angle lens 2 in FIG. 3, and Table 3 shows that the effective focal length of the wide-angle lens 2 of the second embodiment is equal to 1.8287 mm, the aperture value is equal to 2.0, the viewing angle is equal to 173.9°, and the total length of the lens is equal to 18.000mm.

表三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+Dh10 The aspherical surface depression z of each lens in Table 3 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 +Dh 10

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~D: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~D: aspheric coefficient.

表四為表三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~D為非球面係數。 Table 4 is the relevant parameter table of the aspherical surface of each lens in Table 3, where k is a conical coefficient (Conic Constant) and A~D is an aspherical coefficient.

第二實施例之廣角鏡頭2,其第七透鏡L27之物側面S212之曲率半徑R271=-3.07642mm,第七透鏡L27之像側面S213之曲率半徑R272=4.61793mm,第四透鏡L24之有效焦距f24=16.2755mm,廣角鏡頭2之有效焦距f2=1.8287mm,第六透鏡L26與第七透鏡L27膠合成一膠合透鏡之有效焦距f267=-11.84770mm,第四透鏡L24之阿貝係數Vd24=23.8,第四透鏡L24之折射率Nd24=1.847,由上述資料可得到(R271-R272)/(R271+R272)=-4.991、f24/f2=8.900、f267/f2=-6.479、Vd24/Nd24=12.876,皆能滿足上述條件(5)至條件(8)之要求。 In the wide-angle lens 2 of the second embodiment, the curvature radius R2 71 of the object lens side S212 of the seventh lens L27 is -3.07642 mm, and the curvature radius R2 72 of the image side surface S213 of the seventh lens L27 is 4.61793 mm, and the fourth lens L24 is effective. The focal length f2 4 is =16.2755mm, the effective focal length of the wide-angle lens 2 is f2=1.8287mm, the effective focal length of the cementation lens of the sixth lens L26 and the seventh lens L27 is f2 67 = -11.84770mm, and the Abbe coefficient of the fourth lens L24 is Vd2 4 = 23.8, the refractive index of the fourth lens L24 is Nd2 4 = 1.847, which can be obtained from the above data (R2 71 - R2 72 ) / (R2 71 + R2 72 ) = - 4.991, f2 4 / f2 = 8.900, f2 67 / F2=-6.479, Vd2 4 /Nd2 4 =12.876, all of which can satisfy the requirements of the above conditions (5) to (8).

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 be achieved, 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 curve diagram of the wide-angle lens 2 of the second embodiment. Fig. 4C is a distortion diagram 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436.000nm、546.000nm、656.000nm之光線所產生的縱向球差值介於-0.015mm至0.008mm之間。由第4B圖可看出,第二實施例之廣角鏡頭2對波長為546.000nm之光線,於子午(Tangential)方向與弧矢(Sagittal)方向之像散場曲介於-0.04mm至0.01mm之間。由第4C圖可看出,第二實施例之廣角鏡頭2對波長為546.000nm之光線所產生的畸變介於-100%至0%之間。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。 As can be seen from FIG. 4A, the wide-angle lens 2 of the second embodiment produces a longitudinal spherical difference between -0.015 mm and 0.008 mm for light having a wavelength of 436.000 nm, 546.000 nm, and 656.000 nm. As can be seen from FIG. 4B, the wide-angle lens 2 of the second embodiment has a astigmatic field curvature between -0.04 mm and 0.01 mm in the direction of the tangential direction and the Sagittal direction for the light having a wavelength of 546.000 nm. . As can be seen from Fig. 4C, the wide-angle lens 2 of the second embodiment produces a distortion of between -100% and 0% for light having a wavelength of 546.000 nm. It can be seen that the longitudinal spherical aberration, the astigmatic field curvature, and the 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與光路示意圖。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、一光圈ST3、一第四透鏡L34、一第五透鏡L35、一第六透鏡L36、一第七透鏡L37、一第八透鏡L38及一濾光片OF3。成像時,來自物側之光線最後成像於一成像面IMA3上。第一透鏡L31為凸凹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。第二透鏡L32為雙凹透鏡具有負屈光力由玻璃材質製成,其物側面S33為非球面表面,像側面S34為非球面表面。第三透鏡L33為雙凸透鏡具有正屈光力由玻璃材質製成,其物側面S35為球面表面,像側面S36為球面表面。第四透鏡L34為凸凹透鏡具有負屈光力由玻璃材質製成,其物側面S38為凸面像側面S39為凹面,物側面S38與像側面S39皆為球面表面。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與像側面S310皆為球面表面。第四透鏡L34與第五透鏡L35膠合成一膠合透鏡。第六透鏡L36為雙凸透鏡具有正屈光力由玻璃材質製成,其物側面S311與像側面S312皆為球面表面。第七透鏡L37為雙凹透鏡具有負屈光力 由玻璃材質製成,其物側面S312與像側面S313皆為球面表面。第六透鏡L36與第七透鏡L37膠合成一膠合透鏡。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S314與像側面S315皆為非球面表面。濾光片OF3其物側面S316與像側面S317皆為平面。 Please refer to FIG. 5, which is a schematic diagram of a lens configuration and an optical path of a third embodiment of the wide-angle lens according to the present invention. The wide-angle lens 3 sequentially includes a first lens L31, a second lens L32, a third lens L33, an aperture ST3, a fourth lens L34, and a fifth from an object side to an image side along an optical axis OA3. The lens L35, a sixth lens L36, a seventh lens L37, an eighth lens L38, and a filter OF3. At the time of imaging, the light from the object side is finally imaged on an image plane IMA3. The first lens L31 is a convex-concave lens having a negative refractive power and is made of a glass material. The object side surface S31 is a convex surface, the image side surface S32 is a concave surface, and the object side surface S31 and the image side surface S32 are spherical surfaces. The second lens L32 is a biconcave lens having a negative refractive power made of a glass material, the object side surface S33 being an aspherical surface, and the image side surface S34 being an aspherical surface. The third lens L33 is a lenticular lens having a positive refractive power made of a glass material, the object side surface S35 being a spherical surface, and the image side surface S36 being a spherical surface. The fourth lens L34 is a convex-concave lens having a negative refractive power made of a glass material, and the object side surface S38 has a convex image side surface S39 as a concave surface, and the object side surface S38 and the image side surface S39 are spherical surfaces. The fifth lens L35 is a lenticular lens having a positive refractive power made of a glass material, and both the object side surface S39 and the image side surface S310 are spherical surfaces. The fourth lens L34 and the fifth lens L35 are glued to form a cemented lens. The sixth lens L36 is a lenticular lens having a positive refractive power made of a glass material, and both the object side surface S311 and the image side surface S312 are spherical surfaces. The seventh lens L37 is a biconcave lens having a negative refractive power Made of glass material, both the object side surface S312 and the image side surface S313 are spherical surfaces. The sixth lens L36 and the seventh lens L37 are glued to form a cemented lens. The eighth lens L38 is a lenticular lens having a positive refractive power made of a glass material, and both the object side surface S314 and the image side surface S315 are aspherical surfaces. The filter OF3 has a flat side surface S316 and an image side surface S317.

另外,為使本發明之廣角鏡頭能保持良好的光學性能,第三實施例中的廣角鏡頭3需滿足底下四條件: In addition, in order to maintain good optical performance of the wide-angle lens of the present invention, the wide-angle lens 3 of the third embodiment is required to satisfy the following four conditions:

其中,R371為第七透鏡L37之物側面S312之曲率半徑,R372為第七透鏡L37之像側面S313之曲率半徑,f34為第四透鏡L34之有效焦距,f3為廣角鏡頭3之有效焦距,f367為第六透鏡L36與第七透鏡L37膠合成一膠合透鏡之有效焦距,Vd34為第四透鏡L34之阿貝係數,Nd34為第四透鏡L34之折射率。 Wherein, R3 71 is the radius of curvature of the object side surface S312 of the seventh lens L37, R3 72 is the radius of curvature of the image side surface S313 of the seventh lens L37, f3 4 is the effective focal length of the fourth lens L34, and f3 is the effective focal length of the wide-angle lens 3. F3 67 is an effective focal length of the cementation lens of the sixth lens L36 and the seventh lens L37, Vd3 4 is the Abbe coefficient of the fourth lens L34, and Nd3 4 is the refractive index of the fourth lens L34.

利用上述透鏡與光圈ST3之設計,使得廣角鏡頭3能有效的縮短鏡頭總長度、提高視角、有效的修正像差、提升鏡頭解析度、降低溫度變化對鏡頭解析度的影響。 By adopting the design of the above lens and aperture ST3, the wide-angle lens 3 can effectively shorten the total length of the lens, improve the viewing angle, effectively correct the aberration, improve the resolution of the lens, and reduce the influence of the temperature change on the resolution of the lens.

表五為第5圖中廣角鏡頭3之各透鏡之相關參數表,表五資料顯示,第三實施例之廣角鏡頭3之有效焦距等於1.8325mm、光圈值等於2.0、視角等於174.0°、鏡頭總長度等於18.000mm。 Table 5 is a table of related parameters of the lenses of the wide-angle lens 3 in FIG. 5. Table 5 shows that the effective focal length of the wide-angle lens 3 of the third embodiment is equal to 1.8325 mm, the aperture value is equal to 2.0, the angle of view is equal to 174.0°, and the total length of the lens is equal to 18.000mm.

表五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+Dh10 The aspherical surface depression z of each lens in Table 5 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 +Dh 10

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~D: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~D: aspheric coefficient.

表六為表五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~D為非球面係數。 Table 6 is the relevant parameter table of the aspherical surface of each lens in Table 5, where k is the conical coefficient (Conic Constant) and A~D is the aspherical coefficient.

第三實施例之廣角鏡頭3,其第七透鏡L37之物側面S312之曲率半徑R371=-4.91214mm,第七透鏡L37之像側面S313之曲率半徑R372=5.00930mm,第四透鏡L34之有效焦距f34=-20.0008mm,廣角鏡頭3之有效焦距f3=1.8325mm,第六透鏡L36與第七透鏡L37膠合成一膠合透鏡之有效焦距f367=-47.05990mm,第四透鏡L34之阿貝係數Vd34=23.8,第四透鏡L34之折射率Nd34=1.847,由上述資料可得到 (R371-R372)/(R371+R372)=-102.115、f34/f3=-10.915、f367/f3=-25.681、Vd34/Nd34=12.876,皆能滿足上述條件(9)至條件(12)之要求。 In the wide-angle lens 3 of the third embodiment, the curvature radius R3 71 of the object L S71 of the seventh lens L37 is -4.91214 mm, and the curvature radius R3 72 of the image side surface S313 of the seventh lens L37 is 5.00930 mm, and the fourth lens L34 is effective. The focal length f3 4 = -20.0008mm, the effective focal length of the wide-angle lens 3 is f3=1.8325mm, the effective focal length of the cementation lens of the sixth lens L36 and the seventh lens L37 is f3 67 = -47.05990mm, and the Abbe coefficient of the fourth lens L34 Vd3 4 = 23.8, and the refractive index of the fourth lens L34 is Nd3 4 = 1.847, which can be obtained from the above data (R3 71 - R3 72 ) / (R3 71 + R3 72 ) = -102.115, f3 4 / f3 = -10.915, f3 67 / f3 = -25.681 and Vd3 4 / Nd3 4 = 12.876, all of which satisfy the requirements of the above conditions (9) to (12).

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。 Further, the optical performance of the wide-angle lens 3 of the third embodiment can also be achieved, which can be seen from Figs. 6A to 6C. Fig. 6A is a longitudinal Spherical Aberration diagram of the wide-angle lens 3 of the third embodiment. Fig. 6B is an astigmatism field curve diagram of the wide-angle lens 3 of the third embodiment. Fig. 6C is a distortion diagram 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436.000nm、546.000nm、656.000nm之光線所產生的縱向球差值介於-0.014mm至0.007mm之間。由第6B圖可看出,第三實施例之廣角鏡頭3對波長為546.000nm之光線,於子午(Tangential)方向與弧矢(Sagittal)方向之像散場曲介於-0.04mm至0.01mm之間。由第6C圖可看出,第三實施例之廣角鏡頭3對波長為546.000nm之光線所產生的畸變介於-100%至0%之間。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。 As can be seen from FIG. 6A, the wide-angle lens 3 of the third embodiment produces a longitudinal spherical difference between -0.014 mm and 0.007 mm for light having a wavelength of 436.000 nm, 546.000 nm, and 656.000 nm. As can be seen from Fig. 6B, the wide-angle lens 3 of the third embodiment has a astigmatic field curvature between -0.04 mm and 0.01 mm in the direction of the tangential direction and the sagittal direction for the light having a wavelength of 546.000 nm. . As can be seen from FIG. 6C, the wide-angle lens 3 of the third embodiment produces a distortion of between -100% and 0% for light having a wavelength of 546.000 nm. It can be seen that the longitudinal spherical aberration, the astigmatic field curvature, and the distortion of the wide-angle lens 3 of the third embodiment can be effectively corrected, thereby obtaining better optical performance.

1‧‧‧廣角鏡頭 1‧‧‧ wide-angle lens

L11‧‧‧第一透鏡 L11‧‧‧ first lens

L12‧‧‧第二透鏡 L12‧‧‧ second lens

L13‧‧‧第三透鏡 L13‧‧‧ third lens

L14‧‧‧第四透鏡 L14‧‧‧4th lens

L15‧‧‧第五透鏡 L15‧‧‧ fifth lens

L16‧‧‧第六透鏡 L16‧‧‧ sixth lens

L17‧‧‧第七透鏡 L17‧‧‧ seventh lens

L18‧‧‧第八透鏡 L18‧‧‧ eighth lens

ST1‧‧‧光圈 ST1‧‧‧ aperture

OF1‧‧‧濾光片 OF1‧‧‧Filter

OA1‧‧‧光軸 OA1‧‧‧ optical axis

IMA1‧‧‧成像面 IMA1‧‧‧ imaging surface

S11、S12、S13、S14、S15‧‧‧面 S11, S12, S13, S14, S15‧‧

S16、S17、S18、S19、S110‧‧‧面 S16, S17, S18, S19, S110‧‧‧

S111、S112、S113、S114‧‧‧面 S111, S112, S113, S114‧‧

S115、S116、S117‧‧‧面 S115, S116, S117‧‧‧

Claims (12)

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,該第二透鏡包括一凹面,該凹面朝向該物側,具有負屈光力;一第三透鏡,該第三透鏡具有正屈光力;一第四透鏡,該第四透鏡包括一凸面,該凸面朝向該物側;一第五透鏡,該第五透鏡具有正屈光力;一第六透鏡,該第六透鏡為具有正屈光力;一第七透鏡,該第七透鏡為具有負屈光力;以及一第八透鏡,該第八透鏡為具有正屈光力。 A wide-angle lens includes, in an optical axis from an object side to an image side, a first lens; a second lens, the second lens includes a concave surface facing the object side and having a negative refractive power; a third lens having a positive refractive power; a fourth lens comprising a convex surface facing the object side; a fifth lens having a positive refractive power; and a sixth lens The sixth lens has a positive refractive power; a seventh lens having a negative refractive power; and an eighth lens having a positive refractive power. 如申請專利範圍第1項所述之廣角鏡頭,其中該第一透鏡為凸凹透鏡具有負屈光力,該第一透鏡之凸面朝向該物側凹面朝向該像側。 The wide-angle lens of claim 1, wherein the first lens has a convex-concave lens having a negative refractive power, and a convex surface of the first lens faces the object-side concave surface toward the image side. 如申請專利範圍第1項所述之廣角鏡頭,其中該第二透鏡為雙凹透鏡。 The wide-angle lens of claim 1, wherein the second lens is a biconcave lens. 如申請專利範圍第3項所述之廣角鏡頭,其中該第三透鏡、第六透鏡以及第八透鏡至少一為雙凸透鏡。 The wide-angle lens of claim 3, wherein the third lens, the sixth lens, and the eighth lens are at least one lenticular lens. 如申請專利範圍第1項所述之廣角鏡頭,其中該第五透鏡包括一凸面,該凸面朝向該像側。 The wide-angle lens of claim 1, wherein the fifth lens comprises a convex surface facing the image side. 如申請專利範圍第1項所述之廣角鏡頭,其中該第七透鏡為雙凹透鏡 The wide-angle lens of claim 1, wherein the seventh lens is a biconcave lens 如申請專利範圍第5或6項所述之廣角鏡頭,其中該第四透鏡以及該第五透鏡膠合成一膠合透鏡或該第六透鏡以及該第七透鏡膠合成一膠合透鏡。 The wide-angle lens of claim 5, wherein the fourth lens and the fifth lens are combined to form a cemented lens or the sixth lens and the seventh lens glue are combined into a cemented lens. 如申請專利範圍第5項所述之廣角鏡頭,其中該第四透鏡滿足以下條件:-20f4/f20其中,f4為該第四透鏡之有效焦距,f為該廣角鏡頭之有效焦距。 The wide-angle lens of claim 5, wherein the fourth lens satisfies the following conditions: -20 f 4 /f 20 wherein f 4 is an effective focal length of the fourth lens, and f is an effective focal length of the wide-angle lens. 如申請專利範圍第1項所述之廣角鏡頭,其中該第六透鏡以及該第七透鏡滿足以下條件:-30f67/f-5其中,f67為該第六透鏡以及該第七透鏡膠合成一膠合透鏡之有效焦距,f為該廣角鏡頭之有效焦距。 The wide-angle lens of claim 1, wherein the sixth lens and the seventh lens satisfy the following conditions: -30 f 67 /f -5 wherein f 67 is an effective focal length of the sixth lens and the seventh lens glue to form a cemented lens, and f is an effective focal length of the wide-angle lens. 如申請專利範圍第1項所述之廣角鏡頭,其中該第四透鏡滿足以下條件:5Vd4/Nd4 50其中,Vd4為該第四透鏡之阿貝係數,Nd4為該第四透鏡之折射率。 The wide-angle lens of claim 1, wherein the fourth lens satisfies the following conditions: 5 Vd 4 /Nd 4 50, wherein Vd 4 is an Abbe coefficient of the fourth lens, and Nd 4 is a refractive index of the fourth lens. 如申請專利範圍第1項所述之廣角鏡頭,其中該第七透鏡滿足以下條件:-110(R71-R72)/(R71+R72)-1其中,R71為該第七透鏡之物側面之曲率半徑,R72為該第七透鏡之像側面之曲率半徑。 The wide-angle lens of claim 1, wherein the seventh lens satisfies the following condition: -110 (R 71 -R 72 )/(R 71 +R 72 ) -1 wherein R 71 is the radius of curvature of the side surface of the seventh lens, and R 72 is the radius of curvature of the image side of the seventh lens. 如申請專利範圍第1項所述之廣角鏡頭,其更包括一光圈,設置於該第三透鏡與該第四透鏡之間且該第二透鏡以及該第八透鏡之每一透鏡中至少有一面為非球面表面。 The wide-angle lens of claim 1, further comprising an aperture disposed between the third lens and the fourth lens, and at least one of each of the second lens and the eighth lens is Aspherical surface.
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