TWI674436B - Projection lens - Google Patents

Projection lens Download PDF

Info

Publication number
TWI674436B
TWI674436B TW105116414A TW105116414A TWI674436B TW I674436 B TWI674436 B TW I674436B TW 105116414 A TW105116414 A TW 105116414A TW 105116414 A TW105116414 A TW 105116414A TW I674436 B TWI674436 B TW I674436B
Authority
TW
Taiwan
Prior art keywords
lens
projection
group
projection lens
lens group
Prior art date
Application number
TW105116414A
Other languages
Chinese (zh)
Other versions
TW201741721A (en
Inventor
孫嘉鴻
Original Assignee
信泰光學(深圳)有限公司
亞洲光學股份有限公司
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by 信泰光學(深圳)有限公司, 亞洲光學股份有限公司 filed Critical 信泰光學(深圳)有限公司
Priority to TW105116414A priority Critical patent/TWI674436B/en
Publication of TW201741721A publication Critical patent/TW201741721A/en
Application granted granted Critical
Publication of TWI674436B publication Critical patent/TWI674436B/en

Links

Abstract

一種投影鏡頭沿著一光軸從一投影側至一影像源側依序包括一第一透鏡群、一第二透鏡群、一第三透鏡群及一第四透鏡群。第一透鏡群具有負屈光力。第二透鏡群具有正屈光力。第四透鏡群具有正屈光力。 A projection lens includes a first lens group, a second lens group, a third lens group, and a fourth lens group in order from a projection side to an image source side along an optical axis. The first lens group has a negative refractive power. The second lens group has a positive refractive power. The fourth lens group has a positive refractive power.

Description

投影鏡頭(十一) Projection lens (11)

本發明係有關於一種投影鏡頭。 The invention relates to a projection lens.

現今的投影鏡頭之發展趨勢,除了不斷朝向小型化發展外,隨著不同的應用需求,還需同時具備高解析度能力、具備大光圈以提升投影機之輸出流明數、抗環境溫度變化,習知的投影鏡頭已經無法滿足現今的需求,需要有另一種新架構的投影鏡頭,才能同時滿足小型化、高解析度能力、大光圈及抗環境溫度變化的需求。 The current development trend of projection lenses, in addition to the continuous development of miniaturization, with different application requirements, it is also necessary to simultaneously have high resolution capabilities, a large aperture to increase the number of output lumens of the projector, and resistance to environmental temperature changes. The known projection lens is no longer able to meet today's needs, and another new type of projection lens is needed to meet the needs of miniaturization, high resolution capability, large aperture, and resistance to environmental temperature changes.

有鑑於此,本發明之主要目的在於提供一種投影鏡頭,其鏡頭體積較小、解析度較大、光圈值較小、抗環境溫度變化,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 projection lens, which has a small lens size, a large resolution, a small aperture value, and resistance to changes in ambient temperature, but still has good optical performance.

本發明之投影鏡頭沿著一光軸從一投影側至一影像源側依序包括一第一透鏡群、一第二透鏡群、一第三透鏡群及一第四透鏡群。第一透鏡群具有負屈光力。第二透鏡群具有正屈光力。第四透鏡群具有正屈光力。 The projection lens of the present invention includes a first lens group, a second lens group, a third lens group, and a fourth lens group in order from a projection side to an image source side along an optical axis. The first lens group has a negative refractive power. The second lens group has a positive refractive power. The fourth lens group has a positive refractive power.

其中第一透鏡群包括一第一透鏡,此第一透鏡具有負屈光力,第二透鏡群包括一第二透鏡,此第二透鏡具有正屈光力,該第二透鏡的該影像源側及該投影側皆為凸面,第三透鏡群沿著光軸從投影側至影像 源側依序包括一第三透鏡及一第四透鏡,此第三透鏡具有負屈光力,此第四透鏡具有正屈光力,該第四透鏡包括一凸面,該凸面朝向該投影側,第四透鏡群包括一第五透鏡,該第五透鏡包括一凸面,該凸面朝向該影像源側,此第五透鏡具有正屈光力。 The first lens group includes a first lens, the first lens has a negative refractive power, the second lens group includes a second lens, the second lens has a positive refractive power, the image source side and the projection side of the second lens All are convex, the third lens group is from the projection side to the image along the optical axis The source side includes a third lens and a fourth lens in order. The third lens has a negative refractive power, the fourth lens has a positive refractive power, the fourth lens includes a convex surface, the convex surface faces the projection side, and a fourth lens group. The fifth lens includes a fifth lens including a convex surface facing the image source side. The fifth lens has a positive refractive power.

其中投影鏡頭滿足以下條件:0.6R12/f1.5;其中,R12為第一透鏡之影像源側面之曲率半徑,f為投影鏡頭之有效焦距。 The projection lens meets the following conditions: 0.6 R 12 / f 1.5; where R 12 is the radius of curvature of the side of the image source of the first lens, and f is the effective focal length of the projection lens.

其中投影鏡頭滿足以下條件:1.4<F-number<3.5;其中,F-number為投影鏡頭之光圈值。 The projection lens meets the following conditions: 1.4 <F-number <3.5; where F-number is the aperture value of the projection lens.

其中第一透鏡為非球面透鏡且滿足以下條件:Vd1>40;其中,Vd1為第一透鏡之阿貝係數。 The first lens is an aspheric lens and satisfies the following conditions: Vd 1 >40; wherein Vd 1 is the Abbe coefficient of the first lens.

其中第五透鏡為非球面透鏡。 The fifth lens is an aspheric lens.

其中第二透鏡、第三透鏡及第四透鏡皆為球面透鏡且滿足以下條件:Nd2>1.6,Nd3>1.6,Nd4>1.6,Vd3<35;其中,Nd2為第二透鏡之折射率,Nd3為第三透鏡之折射率,Nd4為第四透鏡之折射率,Vd3為第三透鏡之阿貝係數。 The second lens, the third lens, and the fourth lens are spherical lenses and satisfy the following conditions: Nd 2 > 1.6, Nd 3 > 1.6, Nd 4 > 1.6, and Vd 3 <35; where Nd 2 is the second lens. Refractive index, Nd 3 is the refractive index of the third lens, Nd 4 is the refractive index of the fourth lens, and Vd 3 is the Abbe coefficient of the third lens.

其中第三透鏡及第四透鏡膠合成一膠合透鏡。 The third lens and the fourth lens are cemented into a cemented lens.

本發明之投影鏡頭可更包括一光圈,設置於第二透鏡群與第三透鏡群之間。 The projection lens of the present invention may further include an aperture disposed between the second lens group and the third lens group.

其中第一透鏡群包括一第一透鏡,此第一透鏡具有負屈光力,第二透鏡群包括一第二透鏡,此第二透鏡具有正屈光力,第三透鏡群具有負屈光力,此第三透鏡群沿著光軸從投影側至影像源側依序包括一第 三透鏡及一第四透鏡,第四透鏡群包括一第五透鏡,此第五透鏡具有正屈光力,第一透鏡群、第二透鏡群、第三透鏡群及第四透鏡群於光軸上之群間距可改變以調整投影鏡頭之有效焦距。 The first lens group includes a first lens, the first lens has a negative refractive power, the second lens group includes a second lens, the second lens has a positive refractive power, the third lens group has a negative refractive power, and the third lens group Along the optical axis from the projection side to the image source side, a first Three lenses and a fourth lens. The fourth lens group includes a fifth lens. The fifth lens has a positive refractive power. The first lens group, the second lens group, the third lens group, and the fourth lens group are on the optical axis. The group pitch can be changed to adjust the effective focal length of the projection lens.

其中投影鏡頭滿足以下條件:fT/fW>1;其中,fT為投影鏡頭於望遠端之有效焦距,fW為投影鏡頭於廣角端之有效焦距。 The projection lens satisfies the following conditions: f T / f W >1; where f T is the effective focal length of the projection lens at the telephoto end, and f W is the effective focal length of the projection lens at the wide-angle end.

其中投影鏡頭滿足以下條件:1.4<F-number<3.5;其中,F-number為投影鏡頭之光圈值。 The projection lens meets the following conditions: 1.4 <F-number <3.5; where F-number is the aperture value of the projection lens.

其中第一透鏡為非球面透鏡且滿足以下條件:Vd1>40;其中,Vd1為第一透鏡之阿貝係數。 The first lens is an aspheric lens and satisfies the following conditions: Vd 1 >40; wherein Vd 1 is the Abbe coefficient of the first lens.

其中第五透鏡為非球面透鏡。 The fifth lens is an aspheric lens.

其中第二透鏡、第三透鏡及第四透鏡皆為球面透鏡且滿足以下條件:Nd2>1.6,Nd3>1.6,Nd4>1.6,Vd3<35;其中,Nd2為第二透鏡之折射率,Nd3為第三透鏡之折射率,Nd4為第四透鏡之折射率,Vd3為第三透鏡之阿貝係數。 The second lens, the third lens, and the fourth lens are spherical lenses and satisfy the following conditions: Nd 2 > 1.6, Nd 3 > 1.6, Nd 4 > 1.6, and Vd 3 <35; where Nd 2 is the second lens. Refractive index, Nd 3 is the refractive index of the third lens, Nd 4 is the refractive index of the fourth lens, and Vd 3 is the Abbe coefficient of the third 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‧‧‧投影鏡頭 1, 2, 3‧‧‧ projection lenses

LG11、LG21、LG31‧‧‧第一透鏡群 LG 11 、 LG 21 、 LG 31 ‧‧‧The first lens group

LG12、LG22、LG32‧‧‧第二透鏡群 LG 12 , LG 22 , LG 32 ‧‧‧Second lens group

LG13、LG23、LG33‧‧‧第三透鏡群 LG 13 , LG 23 , LG 33 ‧‧‧ third lens group

LG14、LG24、LG34‧‧‧第四透鏡群 LG 14 , LG 24 , LG 34 ‧‧‧ fourth lens group

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

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

P1、P2、P3‧‧‧稜鏡 P1, P2, P3 ‧‧‧ 稜鏡

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

IS1、IS2、IS3‧‧‧影像源 IS1, IS2, IS3 ‧‧‧ image sources

CG2‧‧‧保護玻璃 CG2‧‧‧Protection glass

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

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‧‧‧面 S214‧‧‧face

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

第1圖係依據本發明之投影鏡頭之第一實施例的透鏡配置與光路示意圖。 FIG. 1 is a schematic diagram of a lens configuration and an optical path of a first embodiment of a projection lens according to the present invention.

第2A圖係第1圖之投影鏡頭之場曲圖。 FIG. 2A is a field curvature diagram of the projection lens of FIG. 1.

第2B圖係第1圖之投影鏡頭之畸變圖。 Figure 2B is the distortion diagram of the projection lens of Figure 1.

第2C圖係第1圖之投影鏡頭之調變轉換函數圖。 FIG. 2C is a modulation conversion function diagram of the projection lens of FIG. 1.

第2D圖係第1圖之投影鏡頭之離焦調變轉換函數圖。 Figure 2D is a graph of the defocus modulation transfer function of the projection lens of Figure 1.

第2E圖係第1圖之投影鏡頭之光點圖。 Figure 2E is a light spot diagram of the projection lens of Figure 1.

第2F圖係第1圖之投影鏡頭之光點圖。 Figure 2F is a light spot diagram of the projection lens of Figure 1.

第2G圖係第1圖之投影鏡頭之光點圖。 Figure 2G is a light spot diagram of the projection lens of Figure 1.

第3圖係依據本發明之投影鏡頭之第二實施例的透鏡配置與光路示意圖。 FIG. 3 is a schematic diagram of a lens configuration and an optical path of a second embodiment of a projection lens according to the present invention.

第4A圖係第3圖之投影鏡頭之場曲圖。 FIG. 4A is a field curvature diagram of the projection lens of FIG. 3.

第4B圖係第3圖之投影鏡頭之畸變圖。 FIG. 4B is a distortion diagram of the projection lens of FIG. 3.

第4C圖係第3圖之投影鏡頭之調變轉換函數圖。 FIG. 4C is a modulation transfer function diagram of the projection lens of FIG. 3.

第4D圖係第3圖之投影鏡頭之離焦調變轉換函數圖。 Figure 4D is a defocus modulation transfer function diagram of the projection lens of Figure 3.

第4E圖係第3圖之投影鏡頭之光點圖。 Figure 4E is a light spot diagram of the projection lens of Figure 3.

第4F圖係第3圖之投影鏡頭之光點圖。 Figure 4F is a light spot diagram of the projection lens of Figure 3.

第4G圖係第3圖之投影鏡頭之光點圖。 Figure 4G is the light spot diagram of the projection lens in Figure 3.

第5圖係依據本發明之投影鏡頭之第三實施例的透鏡配置與光路示意圖。 FIG. 5 is a schematic diagram of a lens configuration and an optical path of a third embodiment of a projection lens according to the present invention.

第6A圖係第5圖之投影鏡頭處於廣角端時之場曲圖。 FIG. 6A is a field curvature diagram when the projection lens of FIG. 5 is at the wide-angle end.

第6B圖係第5圖之投影鏡頭處於廣角端時之畸變圖。 Figure 6B is the distortion diagram when the projection lens of Figure 5 is at the wide-angle end.

第6C圖係第5圖之投影鏡頭處於廣角端時之調變轉換函數圖。 FIG. 6C is a modulation transfer function diagram when the projection lens of FIG. 5 is at the wide-angle end.

第6D圖係第5圖之投影鏡頭處於望遠端時之場曲圖。 Fig. 6D is a field curvature diagram when the projection lens of Fig. 5 is at the telephoto end.

第6E圖係第5圖之投影鏡頭處於望遠端時之畸變圖。 Figure 6E is the distortion diagram when the projection lens in Figure 5 is at the telephoto end.

第6F圖係第5圖之投影鏡頭處於望遠端時之調變轉換函數圖。 FIG. 6F is a modulation transfer function diagram when the projection lens of FIG. 5 is at the telephoto end.

請參閱第1圖,第1圖係依據本發明之投影鏡頭之第一實施例的透鏡配置與光路示意圖。投影鏡頭1沿著一光軸OA1從一投影側至一影像源側依序包括一第一透鏡群LG11、一第二透鏡群LG12、一光圈ST1、一第三透鏡群LG13、一第四透鏡群LG14及一稜鏡P1。投影時,來自一影像源IS1之光線最後投影於投影側。第一透鏡群LG11具有負屈光力,此第一透鏡群LG11包括一第一透鏡L11,此第一透鏡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皆為非球面表面。第二透鏡群LG12具有正屈光力,此第二透鏡群LG12包括一第二透鏡L12,此第二透鏡L12為雙凸透鏡具有正屈光力由玻璃材質製成,其物側面S13為凸面,像側面S14為凸面,物側面S13與像側面S14皆為球面表面。第三透鏡群LG13包括一第三透鏡L13及一第四透鏡L14,此第三透鏡L13為雙凹透鏡具有負屈光力由玻璃材質製成,其物側面S16為凹面,像側面S17為凹面,物側面S16與像側面S17皆為球面表面,此第四透鏡L14為雙凸透鏡具有正屈光力由玻璃材質製成,其物側面S18為凸面,像側面S19為凸面,物側面S18與像側面S19皆為球面表面。第四透鏡群LG14具有正屈光力,此第四透鏡群LG14包括一第五透鏡L15,此第五透鏡L15為雙凸透鏡具有正屈光力由玻璃材質製成,其物側面S110為凸面,像側面S111為凸面,物側面S110與像側面S111皆為非球面表面。稜鏡P1其物側面S112與像側面S113皆為平面。 Please refer to FIG. 1. FIG. 1 is a schematic diagram of a lens configuration and an optical path of a first embodiment of a projection lens according to the present invention. The projection lens 1 includes a first lens group LG 11 , a second lens group LG 12 , an aperture ST1, a third lens group LG 13 , and a lens lens 1 in order from a projection side to an image source side along an optical axis OA1. The fourth lens group LG 14 and a pair of P1. During projection, the light from an image source IS1 is finally projected on the projection side. The first lens group LG 11 has a negative refractive power. The first lens group LG 11 includes a first lens L11. The first lens L11 is a convex-concave lens. The first lens group L11 has a negative refractive power and is made of glass. S12 is a concave surface, and both the object side surface S11 and the image side surface S12 are aspherical surfaces. The second lens group LG 12 has a positive refractive power. The second lens group LG 12 includes a second lens L12. The second lens L12 is a biconvex lens. It has a positive refractive power and is made of glass. Its object side S13 is convex and image-like. S14 is a convex surface, and both the object side surface S13 and the image side surface S14 are spherical surfaces. The third lens group LG 13 includes a third lens L13 and a fourth lens L14. The third lens L13 is a biconcave lens and has a negative refractive power. The third lens L13 is made of glass. The object side S16 is concave, and the image side S17 is concave. The side surface S16 and the image side S17 are spherical surfaces. The fourth lens L14 is a biconvex lens with positive refractive power and is made of glass. The object side S18 is convex, the image side S19 is convex, and the object side S18 and the image side S19 are both Spherical surface. The fourth lens group LG 14 has a positive refractive power. The fourth lens group LG 14 includes a fifth lens L15. The fifth lens L15 is a biconvex lens. It has a positive refractive power and is made of glass. Its object side S110 is convex and image-like. S111 is convex, and both the object side S110 and the image side S111 are aspherical surfaces.稜鏡 P1 has both the object side S112 and the image side S113.

另外,為使本發明之投影鏡頭能保持良好的光學性能,第一實施例中的投影鏡頭1需滿足底下七條件: 0.6<R112/f1<1.5 (1) In addition, in order for the projection lens of the present invention to maintain good optical performance, the projection lens 1 in the first embodiment must satisfy the following seven conditions: 0.6 <R1 12 /f1<1.5 (1)

1.4<F-number1<3.5 (2) 1.4 <F-number1 <3.5 (2)

Vd11>40 (3) Vd1 1 > 40 (3)

Nd12>1.6 (4) Nd1 2 > 1.6 (4)

Nd13>1.6 (5) Nd1 3 > 1.6 (5)

Nd14>1.6 (6) Nd1 4 > 1.6 (6)

Vd13<35 (7) Vd1 3 <35 (7)

其中,R112為第一透鏡L11之像側面S12之曲率半徑,f1為投影鏡頭1之有效焦距,F-number1為投影鏡頭1之光圈值,Vd11為第一透鏡L11之阿貝係數,Nd12為第二透鏡L12之折射率,Nd13為第三透鏡L13之折射率,Nd14為第四透鏡L14之折射率,Vd13為第三透鏡L13之阿貝係數。 Among them, R1 12 is the curvature radius of the image side S12 of the first lens L11, f1 is the effective focal length of the projection lens 1, F-number1 is the aperture value of the projection lens 1, Vd1 1 is the Abbe coefficient of the first lens L11, and Nd1 2 is the refractive index of the second lens L12, Nd1 3 is the refractive index of the third lens L13, Nd1 4 is the refractive index of the fourth lens L14, and Vd1 3 is the Abbe coefficient of the third lens L13.

利用上述透鏡與光圈ST1之設計,使得投影鏡頭1能有效的縮小體積、縮小光圈值、有效的修正像差、提升鏡頭解析度、降低溫度變化對成像品質的影響。 Utilizing the design of the above lens and aperture ST1, the projection lens 1 can effectively reduce the volume, reduce the aperture value, effectively correct aberrations, improve the resolution of the lens, and reduce the impact of temperature changes on imaging quality.

表一為第1圖中投影鏡頭1之各透鏡之相關參數表,表一資料顯示,第一實施例之投影鏡頭1之有效焦距等於16.8mm、光圈值等於1.5。 Table 1 is a related parameter table of each lens of the projection lens 1 in the first figure. The data in Table 1 shows that the effective focal length of the projection lens 1 of the first embodiment is equal to 16.8 mm and the aperture value is 1.5.

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+Eh12+Fh14+Gh16 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 + Dh 10 + Eh 12 + Fh 14 + Gh 16

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~G: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 ~ G: 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~G為非球面係數。 Table 2 is the related parameter table of the aspheric surface of each lens in Table 1, where k Is the conic constant, and A ~ G are aspherical coefficients.

第一實施例之投影鏡頭1,其第一透鏡L11之像側面S12之曲率半徑R112=12.66mm,投影鏡頭1之有效焦距f1=16.8mm,投影鏡頭1之光圈值F-number1=1.5,第一透鏡L11之阿貝係數Vd11=70,第二透鏡L12之折射率Nd12=1.8,第三透鏡L13之折射率Nd13=1.77,第四透鏡L14之折射率Nd14=1.67,第三透鏡L13之阿貝係數Vd13=26,由上述資料可得到R112/f1=0.75、F-number1=1.5、Vd11=70、Nd12=1.8、Nd13=1.77、Nd14=1.67、Vd13=26,皆能滿足上述條件(1)至條件(7)之要求。 In the projection lens 1 of the first embodiment, the curvature radius R1 12 of the image side S12 of the first lens L11 is 12.66 mm, the effective focal length f1 of the projection lens 1 is 16.8 mm, and the aperture value of the projection lens 1 is F-number1 = 1.5. The Abbe coefficient Vd1 1 of the first lens L11 = 70, the refractive index Nd1 2 of the second lens L12 = 1.8, the refractive index Nd1 3 of the third lens L13 = 1.77, the refractive index Nd1 4 of the fourth lens L14 = 1.67, the first the third lens L13 Abbe Vd1 3 = 26, the information obtained by the R1 12 /f1=0.75,F-number1=1.5,Vd1 1 = 70, Nd1 2 = 1.8, Nd1 3 = 1.77, Nd1 4 = 1.67, Vd1 3 = 26, which can satisfy the requirements of the above conditions (1) to (7).

另外,第一實施例之投影鏡頭1的光學性能也可達到要求, 這可從第2A至第2G圖看出。第2A圖所示的,是第一實施例之投影鏡頭1的場曲(Field Curvature)圖。第2B圖所示的,是第一實施例之投影鏡頭1的畸變(Distortion)圖,第2C圖所示的,是第一實施例之投影鏡頭1的調變轉換函數(Modulation Transfer Function)圖,第2D圖所示的,是第一實施例之投影鏡頭1的離焦調變轉換函數(Through Focus Modulation Transfer Function)圖,第2E圖所示的,是第一實施例之投影鏡頭1的光點圖(Spot Diagram),第2F圖所示的,是第一實施例之投影鏡頭1的光點圖(Spot Diagram),第2G圖所示的,是第一實施例之投影鏡頭1的光點圖(Spot Diagram)。 In addition, the optical performance of the projection lens 1 of the first embodiment can also meet the requirements. This can be seen from Figures 2A to 2G. 2A is a Field Curvature diagram of the projection lens 1 of the first embodiment. FIG. 2B shows a distortion diagram of the projection lens 1 of the first embodiment, and FIG. 2C shows a modulation transfer function diagram of the projection lens 1 of the first embodiment. Figure 2D shows the Through Focus Modulation Transfer Function diagram of the projection lens 1 of the first embodiment, and Figure 2E shows the projection lens 1 of the first embodiment. The Spot Diagram, shown in Fig. 2F, is the Spot Diagram of the projection lens 1 of the first embodiment, and the diagram shown in Fig. 2G, is the projection lens 1 of the first embodiment. Spot Diagram.

由第2A圖可看出,第一實施例之投影鏡頭1對波長為0.470μm、0.486μm、0.550μm、0.588μm、0.620μm、0.656μm之光線,於子午(Tangential)方向與弧矢(Sagittal)方向之場曲介於-0.07mm至0.14mm之間。由第2B圖(圖中的6條線幾乎重合,以致於看起來只有一條線)可看出,第一實施例之投影鏡頭1對波長為0.470μm、0.486μm、0.550μm、0.588μm、0.620μm、0.656μm之光線所產生的畸變介於-0.9%至0%之間。由第2C圖可看出,第一實施例之投影鏡頭1對波長範圍介於0.470μm至0.656μm之光線,分別於子午(Tangential)方向與弧矢(Sagittal)方向,視場高度分別為0.0000mm、-2.8350mm、-6.6150mm、-8.8050mm、-9.4500mm,空間頻率介於0lp/mm至37lp/mm,其調變轉換函數值介於0.67至1.0之間。由第2D圖可看出,第一實施例之投影鏡頭1對波長範圍介於0.470μm至0.656μm之光線,分別於子午(Tangential)方向與弧矢(Sagittal)方向,視場高度分別為0.0000mm、-2.8350mm、-6.6150mm、-8.8050mm、-9.4500mm,空間頻率等於37.0000lp/mm時,當焦點偏移介於-0.028mm至0.031mm 之間其調變轉換函數值皆大於0.2。第2E圖、第2F圖、第2G圖顯示第一實施例之投影鏡頭1對波長為0.470μm、0.486μm、0.550μm、0.588μm、0.620μm、0.656μm之光線,分別於像高為0.000mm、-2.835mm、-9.450mm處,其所對應之光點的均方根(Root Mean Square)半徑分別為4.545um、6.848um、8.445um,其所對應之光點的幾何(Geometrical)半徑分別為10.829um、18.240um、26.934um。顯見第一實施例之投影鏡頭1之場曲、畸變都能被有效修正,鏡頭解析度、焦深也都能滿足要求,從而得到較佳的光學性能。 It can be seen from FIG. 2A that the projection lens 1 of the first embodiment has a pair of rays having a wavelength of 0.470 μm, 0.486 μm, 0.550 μm, 0.588 μm, 0.620 μm, and 0.656 μm in the direction of the meridian (Tangential) and the sagittal (Sagittal) The field curvature in the direction of) is between -0.07mm and 0.14mm. From Figure 2B (the 6 lines in the figure are almost superimposed so that only one line appears), it can be seen that the pair of projection lenses of the first embodiment has a wavelength of 0.470 μm, 0.486 μm, 0.550 μm, 0.588 μm, 0.620 The distortion caused by the light of μm and 0.656μm is between -0.9% and 0%. As can be seen from Figure 2C, the projection lens 1 of the first embodiment has a pair of rays with a wavelength ranging from 0.470 μm to 0.656 μm, respectively in the Tangential direction and the Sagittal direction, and the field heights are 0.0000. mm, -2.8350mm, -6.6150mm, -8.8050mm, -9.4500mm, the spatial frequency is between 0lp / mm and 37lp / mm, and its modulation conversion function value is between 0.67 and 1.0. It can be seen from the 2D diagram that the projection lens 1 of the first embodiment has a pair of rays with a wavelength range of 0.470 μm to 0.656 μm, respectively in the Tangential direction and the Sagittal direction, and the field heights are 0.0000. mm, -2.8350mm, -6.6150mm, -8.8050mm, -9.4500mm, and the spatial frequency equals 37.0000lp / mm, when the focus shift is between -0.028mm to 0.031mm The value of its modulation transfer function is greater than 0.2. Figures 2E, 2F, and 2G show the projection lens 1 of the first embodiment for a pair of light having a wavelength of 0.470 μm, 0.486 μm, 0.550 μm, 0.588 μm, 0.620 μm, 0.656 μm, respectively, at an image height of 0.000 mm. ,-2.835mm, -9.450mm, the Root Mean Square radii of the corresponding light points are 4.545um, 6.848um, 8.445um, and the geometrical radii of the corresponding light points are respectively It is 10.829um, 18.240um, 26.934um. It is obvious that the field curvature and distortion of the projection lens 1 of the first embodiment can be effectively corrected, and the lens resolution and focal depth can also meet the requirements, thereby obtaining better optical performance.

請參閱第3圖,第3圖係係依據本發明之投影鏡頭之第二實施例的透鏡配置與光路示意圖。投影鏡頭2沿著一光軸OA2從一投影側至一影像源側依序包括一第一透鏡群LG21、一第二透鏡群LG22、一光圈ST2、一第三透鏡群LG23、一第四透鏡群LG24、一稜鏡P2及一保護玻璃CG2。投影時,來自一影像源IS2之光線最後投影於投影側。第一透鏡群LG21具有負屈光力,此第一透鏡群LG21包括一第一透鏡L21,此第一透鏡L21為凸凹透鏡具有負屈光力由塑膠材質製成,其物側面S21為凸面,像側面S22為凹面,物側面S21與像側面S22皆為非球面表面。第二透鏡群LG22具有正屈光力,此第二透鏡群LG22包括一第二透鏡L22,此第二透鏡L22為雙凸透鏡具有正屈光力由玻璃材質製成,其物側面S23為凸面,像側面S24為凸面,物側面S23與像側面S24皆為球面表面。第三透鏡群LG23包括一第三透鏡L23及一第四透鏡L24,第三透鏡L23及第四透鏡L24膠合成一膠合透鏡,此第三透鏡L23為雙凹透鏡具有負屈光力由玻璃材質製成,其物側面S26為凹面,像側面S27為凹面,物側面S26與像側面S27皆為球面表面, 此第四透鏡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。第四透鏡群LG24具有正屈光力,此第四透鏡群LG24包括一第五透鏡L25,此第五透鏡L25為雙凸透鏡具有正屈光力由塑膠材質製成,其物側面S29為凸面,像側面S210為凸面,物側面S29與像側面S210皆為非球面表面。稜鏡P2其物側面S211與像側面S212皆為平面。保護玻璃CG2其物側面S213與像側面S214皆為平面。 Please refer to FIG. 3, which is a schematic diagram of a lens configuration and an optical path of a second embodiment of a projection lens according to the present invention. The projection lens 2 includes a first lens group LG 21 , a second lens group LG 22 , an aperture ST2, a third lens group LG 23 , and a first lens group LG 21 , a second lens group LG 22 in order, along an optical axis OA2. The fourth lens group LG 24 , a pair of P2, and a protective glass CG2. During projection, the light from an image source IS2 is finally projected on the projection side. The first lens group LG 21 has a negative refractive power. The first lens group LG 21 includes a first lens L21. The first lens L21 is a convex-concave lens. It has a negative refractive power and is made of a plastic material. S22 is a concave surface, and both the object side surface S21 and the image side surface S22 are aspherical surfaces. The second lens group LG 22 has a positive refractive power. The second lens group LG 22 includes a second lens L22. This second lens L22 is a biconvex lens. It has a positive refractive power and is made of glass. Its object side S23 is convex and image-like. S24 is a convex surface, and both the object side surface S23 and the image side surface S24 are spherical surfaces. The third lens group LG 23 includes a third lens L23 and a fourth lens L24. The third lens L23 and the fourth lens L24 are glued to form a cemented lens. The third lens L23 is a biconcave lens and has negative refractive power and is made of glass material. The object side S26 is concave, the image side S27 is concave, and the object side S26 and the image side S27 are spherical surfaces. This fourth lens L24 is a biconvex lens with positive refractive power and is made of glass. The object side S27 is convex. The image side surface S28 is a convex surface, and the object side surface S27 and the image side surface S28 are both spherical surfaces. The fourth lens group LG 24 has a positive refractive power. The fourth lens group LG 24 includes a fifth lens L25. The fifth lens L25 is a biconvex lens with a positive refractive power and is made of a plastic material. The object side S29 is a convex surface and the image side. S210 is convex, and both the object side S29 and the image side S210 are aspherical surfaces.稜鏡 P2 has both the object side S211 and the image side S212 as planes. The cover glass CG2 has both an object side surface S213 and an image side surface S214 that are flat.

另外,為使本發明之投影鏡頭能保持良好的光學性能,第二實施例中的投影鏡頭2需滿足底下七條件:0.6<R212/f2<1.5 (8) In addition, in order for the projection lens of the present invention to maintain good optical performance, the projection lens 2 in the second embodiment must satisfy the following seven conditions: 0.6 <R2 12 /f2<1.5 (8)

1.4<F-number2<3.5 (9) 1.4 <F-number2 <3.5 (9)

Vd21>40 (10) Vd2 1 > 40 (10)

Nd22>1.6 (11) Nd2 2 > 1.6 (11)

Nd23>1.6 (12) Nd2 3 > 1.6 (12)

Nd24>1.6 (13) Nd2 4 > 1.6 (13)

Vd23<35 (14) Vd2 3 <35 (14)

其中,R212為第一透鏡L21之像側面S22之曲率半徑,f2為投影鏡頭2之有效焦距,F-number2為投影鏡頭2之光圈值,Vd21為第一透鏡L21之阿貝係數,Nd22為第二透鏡L22之折射率,Nd23為第三透鏡L23之折射率,Nd24為第四透鏡L24之折射率,Vd23為第三透鏡L23之阿貝係數。 Among them, R2 12 is the curvature radius of the image side S22 of the first lens L21, f2 is the effective focal length of the projection lens 2, F-number2 is the aperture value of the projection lens 2, Vd2 1 is the Abbe coefficient of the first lens L21, and Nd2 2 is the refractive index of the second lens L22, Nd2 3 is the refractive index of the third lens L23, Nd2 4 is the refractive index of the fourth lens L24, and Vd2 3 is the Abbe coefficient of the third lens L23.

利用上述透鏡與光圈ST2之設計,使得投影鏡頭2能有效 的縮小體積、縮小光圈值、有效的修正像差、提升鏡頭解析度、降低溫度變化對成像品質的影響。 Utilizing the design of the above lens and aperture ST2, the projection lens 2 can be effectively used Reduce the volume, reduce the aperture value, effectively correct aberrations, improve the lens resolution, and reduce the impact of temperature changes on imaging quality.

表三為第3圖中投影鏡頭3之各透鏡之相關參數表,表三資料顯示,第二實施例之投影鏡頭2之有效焦距等於16.8mm、光圈值等於1.5。 Table 3 is a related parameter table of each lens of the projection lens 3 in the third figure. The data in Table 3 shows that the effective focal length of the projection lens 2 of the second embodiment is equal to 16.8 mm and the aperture value is equal to 1.5.

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+Eh12+Fh14+Gh16 The aspheric 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 + Eh 12 + Fh 14 + Gh 16

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~G: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 ~ G: 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~G為非球面係數。 Table 4 is a table of related parameters of the aspheric surface of each lens in Table 3, where k is the Conic Constant and A ~ G are aspheric coefficients.

第二實施例之投影鏡頭2,其第一透鏡L21之像側面S22之曲率半徑R212=12.35mm,投影鏡頭2之有效焦距f2=16.8mm,投影鏡頭2之光圈值F-number2=1.5,第一透鏡L21之阿貝係數Vd21=56,第二透鏡L22之折射率Nd22=1.8,第三透鏡L23之折射率Nd23=1.77,第四透鏡L24之折射率Nd24=1.64,第三透鏡L23之阿貝係數Vd23=26,由上述資料可得到R212/f2=0.74、F-number2=1.5、Vd21=56、Nd22=1.8、Nd23=1.77、Nd24=1.64、Vd23=26,皆能滿足上述條件(8)至條件(14)之要求。 The projection lens 2 of the second embodiment has a curvature radius R2 12 of the image side S22 of the first lens L21 = 12.35mm, an effective focal length f2 of the projection lens 2 = 16.8mm, and an aperture value F-number2 = 1.5 of the projection lens 2. The Abbe coefficient Vd2 1 of the first lens L21 = 56, the refractive index Nd2 2 of the second lens L22 = 1.8, the refractive index Nd2 3 of the third lens L23 = 1.77, the refractive index Nd2 4 of the fourth lens L24 = 1.64, the first Abbe three lens L23 of Vd2 3 = 26, the information obtained by the R2 12 /f2=0.74,F-number2=1.5,Vd2 1 = 56, Nd2 2 = 1.8, Nd2 3 = 1.77, Nd2 4 = 1.64, Vd2 3 = 26, which can satisfy the requirements of the above conditions (8) to (14).

另外,第二實施例之投影鏡頭2的光學性能也可達到要求,這可從第4A至第4G圖看出。第4A圖所示的,是第二實施例之投影鏡頭2的場曲(Field Curvature)圖。第4B圖所示的,是第二實施例之投影鏡頭2的畸變(Distortion)圖,第4C圖所示的,是第二實施例之投影鏡頭2的調變轉換函數(Modulation Transfer Function)圖,第4D圖所示的,是第二實施例之投影鏡頭2的離焦調變轉換函數(Through Focus Modulation Transfer Function)圖,第4E圖所示的,是第二實施例之投影鏡頭2的光點圖(Spot Diagram),第4F圖所示的,是第二實施例之投影鏡頭2的光點圖(Spot Diagram),第4G圖所示的,是第二實施例之投影鏡頭2的光點圖(Spot Diagram)。 In addition, the optical performance of the projection lens 2 of the second embodiment can also meet the requirements, which can be seen from FIGS. 4A to 4G. FIG. 4A is a Field Curvature diagram of the projection lens 2 of the second embodiment. FIG. 4B is a distortion diagram of the projection lens 2 of the second embodiment, and FIG. 4C is a modulation transfer function diagram of the projection lens 2 of the second embodiment. As shown in FIG. 4D, it is the Through Focus Modulation Transfer function of the projection lens 2 of the second embodiment. Function) diagram, shown in FIG. 4E, is a spot diagram of the projection lens 2 of the second embodiment (Spot Diagram), and FIG. 4F is a diagram of the light spot of the projection lens 2 of the second embodiment ( Spot Diagram), shown in FIG. 4G, is a Spot Diagram of the projection lens 2 of the second embodiment.

由第4A圖可看出,第二實施例之投影鏡頭2對波長為0.470μm、0.486μm、0.550μm、0.588μm、0.620μm、0.656μm之光線,於子午(Tangential)方向與弧矢(Sagittal)方向之場曲介於-0.05mm至0.15mm之間。由第4B圖(圖中的6條線幾乎重合,以致於看起來只有一條線)可看出,第二實施例之投影鏡頭2對波長為0.470μm、0.486μm、0.550μm、0.588μm、0.620μm、0.656μm之光線所產生的畸變介於-0.9%至0%之間。由第4C圖可看出,第二實施例之投影鏡頭4對波長範圍介於0.470μm至0.656μm之光線,分別於子午(Tangential)方向與弧矢(Sagittal)方向,視場高度分別為0.0000mm、-2.8350mm、-6.6150mm、-8.8050mm、-9.4500mm,空間頻率介於0lp/mm至37lp/mm,其調變轉換函數值介於0.57至1.0之間。由第4D圖可看出,第二實施例之投影鏡頭2對波長範圍介於0.470μm至0.656μm之光線,分別於子午(Tangential)方向與弧矢(Sagittal)方向,視場高度分別為0.0000mm、-2.8350mm、-6.6150mm、-8.8050mm、-9.4500mm,空間頻率等於37lp/mm時,當焦點偏移介於-0.026mm至0.032mm之間其調變轉換函數值皆大於0.2。第4E圖、第4F圖、第4G圖顯示第二實施例之投影鏡頭2對波長為0.470μm、0.486μm、0.550μm、0.588μm、0.620μm、0.656μm之光線,分別於像高為0.000mm、-2.835mm、-9.450mm處,其所對應之光點的均方根(Root Mean Square)半徑分別為5.533um、 8.145um、9.088um,其所對應之光點的幾何(Geometrical)半徑分別為7.738um、24.387um、29.781um。顯見第二實施例之投影鏡頭2之場曲、畸變都能被有效修正,鏡頭解析度、焦深也都能滿足要求,從而得到較佳的光學性能。 It can be seen from FIG. 4A that the projection lens 2 of the second embodiment has a pair of rays with a wavelength of 0.470 μm, 0.486 μm, 0.550 μm, 0.588 μm, 0.620 μm, and 0.656 μm in the Tangential direction and the sagittal direction. The field curvature in the direction of) is between -0.05mm and 0.15mm. From Figure 4B (the 6 lines in the figure are almost superimposed so that only one line appears), it can be seen that the projection lens 2 of the second embodiment has a wavelength of 0.470 μm, 0.486 μm, 0.550 μm, 0.588 μm, 0.620 The distortion caused by the light of μm and 0.656μm is between -0.9% and 0%. As can be seen from Figure 4C, the projection lens 4 of the second embodiment has a pair of rays with a wavelength ranging from 0.470 μm to 0.656 μm, respectively in the Tangential direction and the Sagittal direction, and the field heights are 0.0000. mm, -2.8350mm, -6.6150mm, -8.8050mm, -9.4500mm, the spatial frequency is between 0lp / mm and 37lp / mm, and its modulation conversion function value is between 0.57 and 1.0. As can be seen from the 4D diagram, the projection lens 2 of the second embodiment has a pair of rays with a wavelength ranging from 0.470 μm to 0.656 μm in the Tangential direction and the Sagittal direction, respectively, and the field heights are 0.0000 mm, -2.8350mm, -6.6150mm, -8.8050mm, -9.4500mm, when the spatial frequency is equal to 37lp / mm, when the focus shift is between -0.026mm and 0.032mm, its modulation conversion function value is greater than 0.2. Figures 4E, 4F, and 4G show the projection lens 2 of the second embodiment of the pair of light having a wavelength of 0.470 μm, 0.486 μm, 0.550 μm, 0.588 μm, 0.620 μm, 0.656 μm, and the image height is 0.000 mm ,-2.835mm,-9.450mm, the corresponding Root Mean Square radii of the light spots are 5.533um, 8.145um, 9.088um, the geometrical radii of the corresponding light spots are 7.738um, 24.387um, 29.781um, respectively. It is obvious that the field curvature and distortion of the projection lens 2 of the second embodiment can be effectively corrected, and the lens resolution and focal depth can also meet the requirements, thereby obtaining better optical performance.

請參閱第5圖,第5圖係依據本發明之投影鏡頭之第三實施例的透鏡配置與光路示意圖。投影鏡頭3沿著一光軸OA3從一投影側至一影像源側依序包括一第一透鏡群LG31、一第二透鏡群LG32、一光圈ST3、一第三透鏡群LG33、一第四透鏡群LG34及一稜鏡P3。投影時,來自一影像源IS3之光線最後投影於投影側。投影鏡頭3可藉由改變第一透鏡群LG31、第二透鏡群LG32、第三透鏡群LG33及第四透鏡群LG34於光軸OA3上之群間距以調整投影鏡頭3之有效焦距,使得投影鏡頭3具有變焦功能。第一透鏡群LG31具有負屈光力,此第一透鏡群LG31包括一第一透鏡L31,此第一透鏡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皆為非球面表面。第二透鏡群LG32具有正屈光力,此第二透鏡群LG32包括一第二透鏡L32,此第二透鏡L32為雙凸透鏡具有正屈光力由玻璃材質製成,其物側面S33為凸面,像側面S34為凸面,物側面S33與像側面S34皆為球面表面。第三透鏡群LG33具有負屈光力,此第三透鏡群LG33包括一第三透鏡L33及一第四透鏡L34,此第三透鏡L33為雙凹透鏡具有負屈光力由玻璃材質製成,其物側面S36為凹面,像側面S37為凹面,物側面S36與像側面S37皆為球面表面,此第四透鏡L34為雙凸透鏡具有正屈光力由玻璃材質製成,其物側面S38為凸面,像側面S39為凸面,物側面S38與像側面S39皆為球面表面。第四透鏡 群LG34具有正屈光力,此第四透鏡群LG34包括一第五透鏡L35,此第五透鏡L35為雙凸透鏡具有正屈光力由玻璃材質製成,其物側面S310為凸面,像側面S311為凸面,物側面S310與像側面S311皆為非球面表面。稜鏡P3其物側面S312與像側面S313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 a projection lens according to the present invention. The projection lens 3 includes a first lens group LG 31 , a second lens group LG 32 , an aperture ST3, a third lens group LG 33 , a The fourth lens group LG 34 and a pair of P3. During projection, the light from an image source IS3 is finally projected on the projection side. The projection lens 3 can adjust the effective focal length of the projection lens 3 by changing the group distance on the optical axis OA3 of the first lens group LG 31 , the second lens group LG 32 , the third lens group LG 33, and the fourth lens group LG 34. , So that the projection lens 3 has a zoom function. The first lens group LG 31 has a negative refractive power. The first lens group LG 31 includes a first lens L31. The first lens L31 is a convex-concave lens. The negative lens has a negative refractive power and is made of glass. The object side S31 is convex and image-like. S32 is a concave surface, and both the object side surface S31 and the image side surface S32 are aspherical surfaces. The second lens group LG 32 has a positive refractive power. The second lens group LG 32 includes a second lens L32. This second lens L32 is a biconvex lens. It has a positive refractive power and is made of glass. Its object side S33 is convex and image-like. S34 is a convex surface, and both the object side surface S33 and the image side surface S34 are spherical surfaces. The third lens group LG 33 has a negative refractive power. The third lens group LG 33 includes a third lens L33 and a fourth lens L34. The third lens L33 is a biconcave lens. It has a negative refractive power and is made of glass. S36 is concave, the image side S37 is concave, the object side S36 and the image side S37 are spherical surfaces. This fourth lens L34 is a biconvex lens with positive refractive power and is made of glass. The convex surface, the object side surface S38 and the image side surface S39 are all spherical surfaces. The fourth lens group LG 34 has a positive refractive power. The fourth lens group LG 34 includes a fifth lens L35. This fifth lens L35 is a biconvex lens. It has a positive refractive power and is made of glass. Its object side S310 is convex and image-like. S311 is a convex surface, and both the object side surface S310 and the image side surface S311 are aspherical surfaces. The object side S312 and the image side S313 of the P3 are both flat.

另外,為使本發明之投影鏡頭能保持良好的光學性能,第三實施例中的投影鏡頭3需滿足底下七條件:fT/fW>1 (15) In addition, in order for the projection lens of the present invention to maintain good optical performance, the projection lens 3 in the third embodiment must satisfy the following seven conditions: f T / f W > 1 (15)

1.4<F-number3<3.5 (16) 1.4 <F-number3 <3.5 (16)

Vd31>40 (17) Vd3 1 > 40 (17)

Nd32>1.6 (18) Nd3 2 > 1.6 (18)

Nd33>1.6 (19) Nd3 3 > 1.6 (19)

Nd34>1.6 (20) Nd3 4 > 1.6 (20)

Vd33<35 (21) Vd3 3 <35 (21)

其中,fT為投影鏡頭3於望遠端之有效焦距,fW為投影鏡頭3於廣角端之有效焦距,F-number3為投影鏡頭3之光圈值,Vd31為第一透鏡L31之阿貝係數,Nd32為第二透鏡L32之折射率,Nd33為第三透鏡L33之折射率,Nd34為第四透鏡L34之折射率,Vd33為第三透鏡L33之阿貝係數。 Among them, f T is the effective focal length of the projection lens 3 at the telephoto end, f W is the effective focal length of the projection lens 3 at the wide-angle end, F-number3 is the aperture value of the projection lens 3, and Vd3 1 is the Abbe coefficient of the first lens L31 , Nd3 2 is the refractive index of the second lens L32, Nd3 3 is the refractive index of the third lens L33, Nd3 4 is the refractive index of the fourth lens L34, Vd3 3 is the Abbe number of the third lens L33.

利用上述透鏡與光圈ST3之設計,使得投影鏡頭3能有效的縮小體積、縮小光圈值、有效的修正像差、提升鏡頭解析度、降低溫度變化對成像品質的影響。 Utilizing the design of the above lens and aperture ST3, the projection lens 3 can effectively reduce the volume, reduce the aperture value, effectively correct aberrations, improve the lens resolution, and reduce the impact of temperature changes on the imaging quality.

表五為第5圖中投影鏡頭3之各透鏡之相關參數表,表 五資料顯示,第三實施例之投影鏡頭3於廣角端之有效焦距等於16.7mm、於望遠端之有效焦距等於17mm、光圈值等於2.0。 Table 5 is the relevant parameter table of each lens of the projection lens 3 in Figure 5, the table Five data show that the effective focal length of the projection lens 3 of the third embodiment at the wide-angle end is equal to 16.7mm, the effective focal length at the telephoto end is equal to 17mm, and the aperture value is equal to 2.0.

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+Eh12+Fh14+Gh16 The aspheric 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 + Eh 12 + Fh 14 + Gh 16

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~G: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 ~ G: 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~G為非球面係數。 Table 6 is a table of related parameters of the aspheric surface of each lens in Table 5, where k is Conic Constant and A ~ G are aspheric coefficients.

第三實施例之投影鏡頭3處於望遠端時之有效焦距fT=17mm,處於廣角端時之有效焦距fW=16.1mm,投影鏡頭3之光圈值F-number3=2.0,第一透鏡L31之阿貝係數Vd31=70,第二透鏡L32之折射率Nd32=1.8,第三透鏡L33之折射率Nd33=1.77,第四透鏡L34之折射率Nd34=1.67,第三透鏡L33之阿貝係數Vd33=26,由上述資料可得到fT/fW=1.06、F-number3=2.0、Vd31=70、Nd32=1.8、Nd33=1.77、Nd34=1.67、Vd33=26,皆能滿足上述條件(15)至條件(21)之要求。 The effective focal length f T of the third embodiment of the projection lens 3 at the telephoto end = 17 mm, the effective focal length f W at the wide-angle end of f = 16.1 mm, the aperture value of the projection lens 3 F-number 3 = 2.0, Abbe coefficient Vd3 1 = 70, refractive index Nd3 2 of the second lens L32 = 1.8, refractive index Nd3 3 of the third lens L33 = 1.77, refractive index Nd3 4 of the fourth lens L34 = 1.67, and refractive index of the third lens L33 The coefficient is Vd3 3 = 26. From the above data, f T / f W = 1.06, F-number3 = 2.0, Vd3 1 = 70, Nd3 2 = 1.8, Nd3 3 = 1.77, Nd3 4 = 1.67, Vd3 3 = 26 , Can meet the requirements of the above conditions (15) to (21).

另外,第三實施例之投影鏡頭3的光學性能也可達到要求,這可從第6A至第6F圖看出。第6A圖所示的,是第三實施例之投影鏡頭3處於廣角端時之場曲(Field Curvature)圖。第6B圖所示的,是第三實施例之投影鏡頭3處於廣角端時之畸變(Distortion)圖,第6C圖所示的,是第三實施例之投影鏡頭3處於廣角端時之調變轉換函數(Modulation Transfer Function)圖,第6D圖所示的,是第三實施例之投影鏡 頭3處於望遠端時之場曲(Field Curvature)圖。第6E圖所示的,是第三實施例之投影鏡頭3處於望遠端時之畸變(Distortion)圖,第6F圖所示的,是第三實施例之投影鏡頭3處於望遠端時之調變轉換函數(Modulation Transfer Function)圖。 In addition, the optical performance of the projection lens 3 of the third embodiment can also meet the requirements, which can be seen from FIGS. 6A to 6F. FIG. 6A is a Field Curvature diagram when the projection lens 3 of the third embodiment is at the wide-angle end. Figure 6B shows the distortion when the projection lens 3 of the third embodiment is at the wide-angle end. Figure 6C shows the distortion when the projection lens 3 of the third embodiment is at the wide-angle end. Modulation Transfer Function chart, shown in Figure 6D, is the projection mirror of the third embodiment Field Curvature diagram with head 3 at the telephoto end. Fig. 6E shows the distortion when the projection lens 3 of the third embodiment is at the telephoto end, and Fig. 6F shows the adjustment when the projection lens 3 of the third embodiment is at the telephoto end. Diagram of Modulation Transfer Function.

由第6A圖可看出,第三實施例之投影鏡頭3處於廣角端時,對波長為0.470μm、0.486μm、0.550μm、0.588μm、0.620μm、0.656μm之光線,於子午(Tangential)方向與弧矢(Sagittal)方向之場曲介於-0.09mm至0.09mm之間。由第6B圖(圖中的6條線幾乎重合,以致於看起來只有一條線)可看出,第三實施例之投影鏡頭3處於廣角端時,對波長為0.470μm、0.486μm、0.550μm、0.588μm、0.620μm、0.656μm之光線所產生的畸變介於-0.8%至0%之間。由第6C圖可看出,第三實施例之投影鏡頭3處於廣角端時,對波長範圍介於0.470μm至0.656μm之光線,分別於子午(Tangential)方向與弧矢(Sagittal)方向,視場高度分別為0.0000mm、-2.8350mm、-6.6150mm、-8.8050mm、-9.4500mm,空間頻率介於0lp/mm至37lp/mm,其調變轉換函數值介於0.67至1.0之間。由第6D圖可看出,第三實施例之投影鏡頭3處於望遠端時,對波長為0.470μm、0.486μm、0.550μm、0.588μm、0.620μm、0.656μm之光線,於子午(Tangential)方向與弧矢(Sagittal)方向之場曲介於-0.09mm至0.11mm之間。由第6E圖可看出,第三實施例之投影鏡頭3處於望遠端時,對波長為0.470μm、0.486μm、0.550μm、0.588μm、0.620μm、0.656μm之光線所產生的畸變介於-0.025%至0.015%之間。由第6F圖可看出,第三實施例之投影鏡頭3處於望遠端時,對波長範圍介於0.470μm至0.656 μm之光線,分別於子午(Tangential)方向與弧矢(Sagittal)方向,視場高度分別為0.0000mm、-2.8350mm、-6.6150mm、-8.8050mm、-9.4500mm,空間頻率介於0lp/mm至37lp/mm,其調變轉換函數值介於0.57至1.0之間。顯見第三實施例之投影鏡頭3之場曲、畸變都能被有效修正,鏡頭解析度也能滿足要求,從而得到較佳的光學性能。 It can be seen from FIG. 6A that when the projection lens 3 of the third embodiment is at the wide-angle end, the light with a wavelength of 0.470 μm, 0.486 μm, 0.550 μm, 0.588 μm, 0.620 μm, 0.656 μm is in the direction of the meridian (Tangential) The field curvature from the Sagittal direction is between -0.09mm and 0.09mm. From Figure 6B (the six lines in the figure are almost superimposed so that there appears to be only one line), it can be seen that when the projection lens 3 of the third embodiment is at the wide-angle end, the wavelengths are 0.470 μm, 0.486 μm, 0.550 μm , 0.588μm, 0.620μm, 0.656μm light distortion caused by light between -0.8% to 0%. It can be seen from FIG. 6C that when the projection lens 3 of the third embodiment is at the wide-angle end, light rays with a wavelength range of 0.470 μm to 0.656 μm are respectively in the Tangential direction and the Sagittal direction. The field height is 0.0000mm, -2.8350mm, -6.6150mm, -8.8050mm, -9.4500mm, the spatial frequency is between 0lp / mm and 37lp / mm, and its modulation transfer function value is between 0.67 and 1.0. It can be seen from FIG. 6D that when the projection lens 3 of the third embodiment is at the telephoto end, the light with a wavelength of 0.470 μm, 0.486 μm, 0.550 μm, 0.588 μm, 0.620 μm, 0.656 μm is in the direction of the meridian (Tangential) The field curvature in the Sagittal direction is between -0.09mm and 0.11mm. It can be seen from FIG. 6E that when the projection lens 3 of the third embodiment is at the telephoto end, the distortion caused by light with a wavelength of 0.470 μm, 0.486 μm, 0.550 μm, 0.588 μm, 0.620 μm, 0.656 μm is between − Between 0.025% and 0.015%. It can be seen from FIG. 6F that when the projection lens 3 of the third embodiment is at the telephoto end, the wavelength range is from 0.470 μm to 0.656. The light of μm is in the Tangential direction and the Sagittal direction, the field height is 0.0000mm, -2.8350mm, -6.6150mm, -8.8050mm, -9.4500mm, and the spatial frequency is between 0lp / mm. To 37lp / mm, its modulation transfer function value is between 0.57 and 1.0. It is obvious that the field curvature and distortion of the projection lens 3 of the third embodiment can be effectively corrected, and the lens resolution can also meet the requirements, thereby obtaining better optical performance.

Claims (10)

一種投影鏡頭,沿著一光軸從一投影側至一影像源側依序包括:一第一透鏡群,該第一透鏡群具有負屈光力;一第二透鏡群,該第二透鏡群具有正屈光力,該第二透鏡群的該影像源側及該投影側皆為凸面;一第三透鏡群,該第三透鏡群有一凸面朝向該投影側;以及一第四透鏡群,該第四透鏡群具有正屈光力,該第四透鏡群有一凸面朝向該影像源側;其中該投影鏡頭滿足以下條件:1.4<F-number<3.5其中,F-number為該投影鏡頭之光圈值;其中該第一透鏡群、該第二透鏡群、該第三透鏡群以及該第四透鏡群於該光軸上之群間距可改變以調整該投影鏡頭之有效焦距。A projection lens, along an optical axis, sequentially from a projection side to an image source side includes: a first lens group having a negative refractive power; a second lens group having a positive lens group Refractive power, both the image source side and the projection side of the second lens group are convex; a third lens group, the third lens group has a convex surface facing the projection side; and a fourth lens group, the fourth lens group With positive refractive power, the fourth lens group has a convex surface facing the image source side; wherein the projection lens satisfies the following conditions: 1.4<F-number<3.5 where F-number is the aperture value of the projection lens; wherein the first lens The group spacing of the group, the second lens group, the third lens group, and the fourth lens group on the optical axis can be changed to adjust the effective focal length of the projection lens. 如申請專利範圍第1項所述之投影鏡頭,其中該第一透鏡群包括一第一透鏡,該第一透鏡具有負屈光力,該第二透鏡群包括一第二透鏡,該第二透鏡具有正屈光力,該第三透鏡群沿著該光軸從該投影側至該影像源側依序包括一第三透鏡以及一第四透鏡,該第三透鏡具有負屈光力,該第四透鏡具有正屈光力,該第四透鏡群包括一第五透鏡,該第五透鏡具有正屈光力。The projection lens as described in item 1 of the patent application scope, wherein the first lens group includes a first lens having a negative refractive power, and the second lens group includes a second lens having a positive lens Refractive power, the third lens group includes a third lens and a fourth lens in sequence from the projection side to the image source side along the optical axis, the third lens has negative refractive power, and the fourth lens has positive refractive power, The fourth lens group includes a fifth lens having positive refractive power. 如申請專利範圍第2項所述之投影鏡頭,其中該投影鏡頭滿足以下條件:0.6
Figure TWI674436B_C0001
R12/f
Figure TWI674436B_C0002
1.5其中,R12為該第一透鏡之影像源側面之曲率半徑,f為該投影鏡頭之有效焦距。
The projection lens as described in item 2 of the patent application scope, wherein the projection lens satisfies the following conditions: 0.6
Figure TWI674436B_C0001
R 12 /f
Figure TWI674436B_C0002
1.5 where R 12 is the radius of curvature of the side of the image source of the first lens, and f is the effective focal length of the projection lens.
如申請專利範圍第2項所述之投影鏡頭,其中該第一透鏡為非球面透鏡且滿足以下條件:Vd1>40其中,Vd1為該第一透鏡之阿貝係數。The projection lens as described in item 2 of the patent application scope, wherein the first lens is an aspheric lens and satisfies the following condition: Vd 1 >40, where Vd 1 is the Abbe coefficient of the first lens. 如申請專利範圍第2項所述之投影鏡頭,其中該第五透鏡為非球面透鏡。The projection lens as described in item 2 of the patent application scope, wherein the fifth lens is an aspheric lens. 如申請專利範圍第2項所述之投影鏡頭,其中該第二透鏡、該第三透鏡以及該第四透鏡皆為球面透鏡且滿足以下條件:Nd2>1.6 Nd3>1.6 Nd4>1.6 Vd3<35其中,Nd2為該第二透鏡之折射率,Nd3為該第三透鏡之折射率,Nd4為該第四透鏡之折射率,Vd3為該第三透鏡之阿貝係數。The projection lens as described in item 2 of the patent application scope, wherein the second lens, the third lens and the fourth lens are spherical lenses and satisfy the following conditions: Nd 2 >1.6 Nd 3 >1.6 Nd 4 >1.6 Vd 3 <35 where Nd 2 is the refractive index of the second lens, Nd 3 is the refractive index of the third lens, Nd 4 is the refractive index of the fourth lens, and Vd 3 is the Abbe coefficient of the third lens. 如申請專利範圍第2項所述之投影鏡頭,其更包括一光圈,設置於該第二透鏡與該第四透鏡之間,且該第三透鏡以及該第四透鏡膠合成一膠合透鏡。The projection lens as described in Item 2 of the patent application scope further includes an aperture disposed between the second lens and the fourth lens, and the third lens and the fourth lens are cemented into a cemented lens. 如申請專利範圍第1項或第2項所述之投影鏡頭,其中該第三透鏡群具有負屈光力。The projection lens as described in item 1 or 2 of the patent application scope, wherein the third lens group has negative refractive power. 如申請專利範圍第8項所述之投影鏡頭,其中該投影鏡頭滿足以下條件:fT/fW>1其中,fT為該投影鏡頭於望遠端之有效焦距,fW為該投影鏡頭於廣角端之有效焦距。The projection lens as described in item 8 of the patent application scope, wherein the projection lens satisfies the following conditions: f T /f W >1 where f T is the effective focal length of the projection lens at the telephoto end, and f W is the projection lens at Effective focal length at the wide-angle end. 如申請專利範圍第8項所述之投影鏡頭,其中該第一透鏡為非球面透鏡,該第二透鏡、該第三透鏡以及該第四透鏡皆為球面透鏡且滿足以下條件:Vd1>40 Nd2>1.6 Nd3>1.6 Nd4>1.6 Vd3<35其中,Nd2為該第二透鏡之折射率,Nd3為該第三透鏡之折射率,Nd4為該第四透鏡之折射率,Vd3為該第三透鏡之阿貝係數,Vd1為該第一透鏡之阿貝係數。The projection lens as described in item 8 of the patent application range, wherein the first lens is an aspheric lens, the second lens, the third lens, and the fourth lens are spherical lenses and satisfy the following conditions: Vd 1 >40 Nd 2 >1.6 Nd 3 >1.6 Nd 4 >1.6 Vd 3 <35 where Nd 2 is the refractive index of the second lens, Nd 3 is the refractive index of the third lens, and Nd 4 is the refractive index of the fourth lens , Vd 3 is the Abbe coefficient of the third lens, and Vd 1 is the Abbe coefficient of the first lens.
TW105116414A 2016-05-26 2016-05-26 Projection lens TWI674436B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
TW105116414A TWI674436B (en) 2016-05-26 2016-05-26 Projection lens

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
TW105116414A TWI674436B (en) 2016-05-26 2016-05-26 Projection lens

Publications (2)

Publication Number Publication Date
TW201741721A TW201741721A (en) 2017-12-01
TWI674436B true TWI674436B (en) 2019-10-11

Family

ID=61230215

Family Applications (1)

Application Number Title Priority Date Filing Date
TW105116414A TWI674436B (en) 2016-05-26 2016-05-26 Projection lens

Country Status (1)

Country Link
TW (1) TWI674436B (en)

Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN100552487C (en) * 2006-07-27 2009-10-21 扬明光学股份有限公司 Tight shot
US20130088789A1 (en) * 2011-10-11 2013-04-11 Toshiyuki Yanagisawa Projector lens system and projector apparatus
JP2014063025A (en) * 2012-09-21 2014-04-10 Canon Inc Zoom lens and imaging apparatus including the same
TW201418761A (en) * 2012-11-13 2014-05-16 Sintai Optical Shenzhen Co Ltd Projection lens

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN100552487C (en) * 2006-07-27 2009-10-21 扬明光学股份有限公司 Tight shot
US20130088789A1 (en) * 2011-10-11 2013-04-11 Toshiyuki Yanagisawa Projector lens system and projector apparatus
JP2014063025A (en) * 2012-09-21 2014-04-10 Canon Inc Zoom lens and imaging apparatus including the same
TW201418761A (en) * 2012-11-13 2014-05-16 Sintai Optical Shenzhen Co Ltd Projection lens
TWI509281B (en) * 2012-11-13 2015-11-21 Sintai Optical Shenzhen Co Ltd Projection lens

Also Published As

Publication number Publication date
TW201741721A (en) 2017-12-01

Similar Documents

Publication Publication Date Title
CN107436474B (en) Projection lens
TWI766956B (en) Lens assembly
CN108957713B (en) Projection lens
TWI683149B (en) Lens assembly
TW201925844A (en) Lens assembly
TW202036070A (en) Lens assembly
TWI491913B (en) Lens assembly
TWI679447B (en) Lens assembly
TWI668480B (en) Lens assembly
TWI683151B (en) Lens assembly
TWI743117B (en) Lens assembly
TW201819981A (en) Lens assembly
TWI699552B (en) Wide-angle lens assembly
TWI674436B (en) Projection lens
TWI709783B (en) Wide-angle lens assembly
TWI724567B (en) Lens assembly
TWI687735B (en) Projection lens
TWI735653B (en) Lens assembly
TWI808056B (en) Wide-angle lens assembly
TWI595260B (en) Lens assembly
TW202119076A (en) Lens assembly
TWI683148B (en) Telephoto lens assembly
TWI704373B (en) Lens assembly
TWI831882B (en) Zoom projection lens
TWI790224B (en) Lens assembly