TWI687735B - Projection lens - Google Patents
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- TWI687735B TWI687735B TW106116722A TW106116722A TWI687735B TW I687735 B TWI687735 B TW I687735B TW 106116722 A TW106116722 A TW 106116722A TW 106116722 A TW106116722 A TW 106116722A TW I687735 B TWI687735 B TW I687735B
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- 230000001681 protective effect Effects 0.000 description 6
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- 230000004907 flux Effects 0.000 description 4
- 238000005286 illumination Methods 0.000 description 4
- 230000005499 meniscus Effects 0.000 description 4
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Abstract
Description
本發明係有關於一種投影鏡頭。 The invention relates to a projection lens.
傳統投影機之體積較大,不易於攜帶,近年來投影機為了方便攜帶,已逐漸走向小型化設計,使得其中所使用之投影鏡頭也需跟著小型化。此外,為了提升投影機之亮度,投影鏡頭需具備較大光圈。另一方面,為了達到調整投影尺寸但是不移動投影機位置,投影鏡頭需具備變焦功能。所以傳統的投影鏡頭已無法滿足需求,需要有另一種架構的投影鏡頭設計,才能同時滿足小型化、大光圈與可變焦距之需求。 Traditional projectors are large in size and not easy to carry. In recent years, projectors have gradually moved toward miniaturized designs in order to facilitate portability, so that the projection lenses used in them must also be miniaturized. In addition, in order to increase the brightness of the projector, the projection lens needs to have a larger aperture. On the other hand, in order to adjust the projection size without moving the position of the projector, the projection lens needs to have a zoom function. Therefore, the traditional projection lens can no longer meet the demand. A projection lens design with another architecture is needed to meet the requirements of miniaturization, large aperture and variable focal length.
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、光圈值較小、具變焦功能,但是仍具有良好的光學性能。 In view of this, the main purpose of the present invention is to provide a projection lens, which has a smaller lens size, a smaller aperture value, and a zoom function, 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、一第四透鏡群、一第五透鏡群及一第六透鏡群。第一透鏡群具有負屈光力且包括一第一透鏡,第二透鏡群具有正屈光力,第三透鏡群具有正屈光力,第四透鏡群具有負屈光力,第五透鏡群具有正屈光力,第六透鏡群具有正屈光力,其中該投影鏡頭滿足以下條件:0.4<R12/f<2.5;其中,R12為該第一透鏡之一影像源側面之一曲率半徑,f為該投影鏡頭之一有效焦距。 The projection lens of the present invention includes a first lens group, a second lens group, a third lens group, a fourth lens group, and a fifth in order along an optical axis from a projection side to an image source side A lens group and a sixth lens group. The first lens group has negative refractive power and includes a first lens, the second lens group has positive refractive power, the third lens group has positive refractive power, the fourth lens group has negative refractive power, the fifth lens group has positive refractive power, and the sixth lens group It has positive refractive power, where the projection lens satisfies the following conditions: 0.4<R 12 /f<2.5; where R 12 is a radius of curvature of an image source side of one of the first lenses, and f is an effective focal length of the projection lens.
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、一第四透鏡群及一第五透鏡群。第一透鏡群具有負屈光力且包括一第一透鏡,第二透鏡群具有正屈光力,第三透鏡群具有正屈光力,第四透鏡群具有正屈光力,第五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, a fourth lens group, and a fifth lens in sequence along an optical axis from a projection side to an image source side Lens group. The first lens group has negative refractive power and includes a first lens, the second lens group has positive refractive power, the third lens group has positive refractive power, the fourth lens group has positive refractive power, and the fifth lens group has positive refractive power.
其中投影鏡頭包括一膠合透鏡,此膠合透鏡包括二透鏡,此等透鏡之阿貝係數差值大於20。 The projection lens includes a cemented lens, and the cemented lens includes two lenses, and the Abbe coefficient difference of these lenses is greater than 20.
其中第一透鏡群與影像源側之間的透鏡群可沿著光軸移動,以改變投影鏡頭之焦距。 The lens group between the first lens group and the image source side can move along the optical axis to change the focal length of the projection lens.
其中投影鏡頭滿足以下條件:0.4<R12/f<2.5;其中,R12為第一透鏡之一影像源側面之一曲率半徑,f為此投影鏡頭之一有效焦距。 The projection lens satisfies the following conditions: 0.4<R 12 /f<2.5; where R 12 is a radius of curvature of one side of the image source of one of the first lenses, and f is one of the effective focal lengths of the projection lens.
其中投影鏡頭滿足以下條件:CRA<5度;其中,CRA為此投影鏡頭之主光線抵達一影像源之一角度。 The projection lens satisfies the following conditions: CRA<5 degrees; wherein, the chief rays of the projection lens for this projection lens reach an angle of an image source.
其中投影鏡頭滿足以下條件:F>1.5;其中,F為此投影鏡頭之一光圈值。 The projection lens satisfies the following conditions: F>1.5; where F is one of the aperture values of the projection lens.
本發明之投影鏡頭可更包括一光圈,設置於第三透鏡群與第四透鏡群之間。 The projection lens of the present invention may further include an aperture disposed between the third lens group and the fourth lens group.
其中第一透鏡群沿著光軸從投影側至影像源側依序包括該第一透鏡及一第二透鏡,第二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,第三透鏡群包括一第五透鏡,第四透鏡群沿著光軸從投影側至影像源側依序包括一第六透鏡、一第七透鏡、一第八透鏡及一第九透鏡,第五透鏡群包括一第十透鏡,第六透鏡群包括一第十一 透鏡,此第一透鏡具有負屈光力,此第一透鏡滿足以下條件:Vd1>45;其中,Vd1為此第一透鏡之一阿貝係數。 The first lens group includes the first lens and a second lens in sequence along the optical axis from the projection side to the image source side, and the second lens group includes a third in sequence along the optical axis from the projection side to the image source side A lens and a fourth lens. The third lens group includes a fifth lens. The fourth lens group includes a sixth lens, a seventh lens, and an eighth lens in order from the projection side to the image source side along the optical axis. A ninth lens, a fifth lens group including a tenth lens, a sixth lens group including an eleventh lens, the first lens has negative refractive power, the first lens satisfies the following conditions: Vd 1 >45; wherein, Vd 1 This is one of the Abbe coefficients of the first lens.
其中第一透鏡群沿著光軸從投影側至影像源側依序包括該第一透鏡及一第二透鏡,第二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,第三透鏡群包括一第五透鏡,第四透鏡群沿著光軸從投影側至影像源側依序包括一第六透鏡、一第七透鏡、一第八透鏡、一第九透鏡及一第十透鏡,第五透鏡群包括一第十一透鏡,此第一透鏡具有負屈光力,此第一透鏡滿足以下條件:Vd1>45;其中,Vd1為此第一透鏡之一阿貝係數。 The first lens group includes the first lens and a second lens in sequence along the optical axis from the projection side to the image source side, and the second lens group includes a third in sequence along the optical axis from the projection side to the image source side A lens and a fourth lens. The third lens group includes a fifth lens. The fourth lens group includes a sixth lens, a seventh lens, and an eighth lens in order from the projection side to the image source side along the optical axis. A ninth lens and a tenth lens. The fifth lens group includes an eleventh lens. The first lens has negative refractive power. The first lens satisfies the following conditions: Vd 1 >45; where Vd 1 is the first Abbe coefficient of one of the lenses.
其中該投影鏡頭滿足以下條件:0.72<R12/f<1.18;60>Vd1>45;1.5<F<2.2;其中,R12為該第一透鏡之一影像源側面之一曲率半徑,f為該投影鏡頭之一有效焦距,Vd1為該第一透鏡之一阿貝係數,F為該投影鏡頭之一光圈值,該投影鏡頭包括一膠合透鏡,該膠合透鏡包括二透鏡,該等透鏡之阿貝係數差值大於20且小於55。 Wherein the projection lens satisfies the following conditions: 0.72<R 12 /f<1.18;60>Vd 1 >45;1.5<F<2.2; where R 12 is one of the radius of curvature of one of the first lens image source sides, f Is an effective focal length of the projection lens, Vd 1 is an Abbe coefficient of the first lens, F is an aperture value of the projection lens, the projection lens includes a cemented lens, the cemented lens includes two lenses, the lenses The Abbe coefficient difference is greater than 20 and less than 55.
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 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:投影鏡頭 1, 2: projection lens
G11、G21:第一透鏡群 G11, G21: the first lens group
G12、G22:第二透鏡群 G12, G22: second lens group
G13、G23:第三透鏡群 G13, G23: third lens group
G14、G24:第四透鏡群 G14, G24: fourth lens group
G15、G25:第五透鏡群 G15, G25: Fifth lens group
G16:第六透鏡群 G16: sixth lens group
L11、L21:第一透鏡 L11, L21: the first lens
L12、L22:第二透鏡 L12, L22: second lens
L13、L23:第三透鏡 L13, L23: third lens
L14、L24:第四透鏡 L14, L24: fourth lens
L15、L25:第五透鏡 L15, L25: fifth lens
L16、L26:第六透鏡 L16, L26: sixth lens
L17、L27:第七透鏡 L17, L27: seventh lens
L18、L28:第八透鏡 L18, L28: eighth lens
L19、L29:第九透鏡 L19, L29: Ninth lens
L110、L210:第十透鏡 L110, L210: tenth lens
L111、L211:第十一透鏡 L111, L211: Eleventh lens
ST1、ST2:光圈 ST1, ST2: aperture
OA1、OA2:光軸 OA1, OA2: optical axis
IS1、IS2:影像源 IS1, IS2: image source
PG1、PG2:玻璃平板 PG1, PG2: glass plate
P1、P2:稜鏡 P1, P2: Lu Han
CG1、CG2:保護玻璃 CG1, CG2: protective glass
S11、S12、S13、S14、S15、S16、S17:面 S11, S12, S13, S14, S15, S16, S17: surface
S18、S19、S110、S111、S112、S113:面 S18, S19, S110, S111, S112, S113: surface
S114、S115、S116、S117、S118、S119:面 S114, S115, S116, S117, S118, S119: surface
S120、S121、S122、S123、S124、S125:面 S120, S121, S122, S123, S124, S125: surface
S126、S127:面 S126, S127: noodles
S21、S22、S23、S24、S25、S26、S27:面 S21, S22, S23, S24, S25, S26, S27: surface
S28、S29、S210、S211、S212、S213:面 S28, S29, S210, S211, S212, S213: surface
S214、S215、S216、S217、S218、S219:面 S214, S215, S216, S217, S218, S219: surface
S220、S221、S222、S223、S224、S225:面 S220, S221, S222, S223, S224, S225: surface
S226、S227:面 S226, S227: noodles
D145、D189、D11011、D11718、D11920:間距 D1 45 , D1 89 , D1 1011 , D1 1718 , D1 1920 : pitch
D245、D289、D21011、D21920:間距 D2 45 , D2 89 , D2 1011 , D2 1920 : pitch
第1圖係依據本發明之投影鏡頭之第一實施例處於廣角端的透鏡配置與光路示意圖。 FIG. 1 is a schematic diagram of the lens configuration and optical path at the wide-angle end of the first embodiment of the projection lens according to the present invention.
第2圖係依據本發明之投影鏡頭之第一實施例處於望遠端的透鏡配置與光路示意圖。 FIG. 2 is a schematic diagram of the lens configuration and optical path at the telephoto end according to the first embodiment of the projection lens of the present invention.
第3A圖係第1圖之投影鏡頭之場曲圖。 Figure 3A is the field curvature diagram of the projection lens of Figure 1.
第3B圖係第1圖之投影鏡頭之畸變圖。 Figure 3B is a distortion diagram of the projection lens of Figure 1.
第3C圖係第1圖之投影鏡頭之相對照度圖。 Figure 3C is a relative illuminance diagram of the projection lens of Figure 1.
第3D圖係第1圖之投影鏡頭之調變轉換函數圖。 Figure 3D is a diagram of the modulation transfer function of the projection lens of Figure 1.
第3E圖係第1圖之投影鏡頭之離焦調變轉換函數圖。 FIG. 3E is a diagram of the defocus modulation conversion function of the projection lens of FIG. 1.
第3F圖係第2圖之投影鏡頭之調變轉換函數圖。 Figure 3F is a diagram of the modulation conversion function of the projection lens of Figure 2.
第3G圖係第2圖之投影鏡頭之離焦調變轉換函數圖。 Figure 3G is a graph of the defocus modulation transfer function of the projection lens of Figure 2.
第4圖係依據本發明之投影鏡頭之第二實施例處於廣角端的透鏡配置與光路示意圖。 FIG. 4 is a schematic diagram of the lens configuration and optical path at the wide-angle end of the second embodiment of the projection lens according to the present invention.
第5圖係依據本發明之投影鏡頭之第二實施例處於望遠端的透鏡配置與光路示意圖。 FIG. 5 is a schematic diagram of the lens configuration and optical path at the telephoto end of the second embodiment of the projection lens according to the present invention.
第6A圖係第4圖之投影鏡頭之場曲圖。 Figure 6A is the field curvature diagram of the projection lens of Figure 4.
第6B圖係第4圖之投影鏡頭之畸變圖。 Figure 6B is a distortion diagram of the projection lens of Figure 4.
第6C圖係第4圖之投影鏡頭之相對照度圖。 Figure 6C is a relative illuminance diagram of the projection lens of Figure 4.
第6D圖係第4圖之投影鏡頭之調變轉換函數圖。 Figure 6D is a diagram of the modulation conversion function of the projection lens of Figure 4.
第6E圖係第4圖之投影鏡頭之離焦調變轉換函數圖。 FIG. 6E is a diagram of the defocus modulation conversion function of the projection lens of FIG. 4.
第6F圖係第5圖之投影鏡頭之調變轉換函數圖。 Figure 6F is a diagram of the modulation conversion function of the projection lens of Figure 5.
第6G圖係第5圖之投影鏡頭之離焦調變轉換函數圖。 Fig. 6G is a diagram of the defocus modulation conversion function of the projection lens of Fig. 5;
請參閱第1圖及第2圖,第1圖係依據本發明之投影鏡頭之第一實施例處於廣角端的透鏡配置與光路示意圖,第2圖係依據本發明之投影鏡頭之第一實施例處於望遠端的透鏡配置與光
路示意圖。投影時,來自一影像源IS1之光線最後投影於一投影側。投影鏡頭1沿著一光軸OA1從投影側至一影像源側依序包括一第一透鏡群G11、一第二透鏡群G12、一第三透鏡群G13、一光圈ST1、一第四透鏡群G14、一第五透鏡群G15、一第六透鏡群G16、一玻璃平板PG1、一稜鏡P1及一保護玻璃CG1。使用時藉由第一透鏡群G11與影像源IS1間各透鏡群之間距D145、D189、D11011、D11718、D11920的改變可達到調整投影鏡頭1之有效焦距,上述間距D145、D189、D11011、D11718、D11920隨著投影鏡頭1由廣角端變焦至望遠端而變動之情形,可由第1圖以及第2圖中明顯看出。
Please refer to FIG. 1 and FIG. 2, FIG. 1 is a schematic diagram of the lens configuration and optical path at the wide-angle end of the first embodiment of the projection lens according to the present invention, and FIG. 2 is the first embodiment of the projection lens according to the present invention at Schematic diagram of lens configuration and optical path at the telephoto end. During projection, light from an image source IS1 is finally projected on a projection side. The
在第一實施例中,第一透鏡群G11具有負屈光力,第二透鏡群G12具有正屈光力,第三透鏡群G13具有正屈光力,第四透鏡群G14具有負屈光力,第五透鏡群G15具有正屈光力,第六透鏡群G16具有正屈光力。 In the first embodiment, the first lens group G11 has negative refractive power, the second lens group G12 has positive refractive power, the third lens group G13 has positive refractive power, the fourth lens group G14 has negative refractive power, and the fifth lens group G15 has positive refractive power Refractive power, the sixth lens group G16 has positive refractive power.
第一透鏡群G11沿著光軸OA1從從投影側至影像源側依序包括一第一透鏡L11及一第二透鏡L12。第一透鏡L11為彎月形透鏡,其投影側面S11為凸面,影像源側面S12為凹面,投影側面S11與影像源側面S12皆為非球面表面。第二透鏡L12為雙凹透鏡,其投影側面S13為凹面,影像源側面S14為凹面,投影側面S13與影像源側面S14皆為非球面表面。 The first lens group G11 includes a first lens L11 and a second lens L12 in order from the projection side to the image source side along the optical axis OA1. The first lens L11 is a meniscus lens, its projection side S11 is convex, the image source side S12 is concave, and both the projection side S11 and the image source side S12 are aspherical surfaces. The second lens L12 is a double concave lens, the projection side S13 is concave, the image source side S14 is concave, and both the projection side S13 and the image source side S14 are aspherical surfaces.
第二透鏡群G12沿著光軸OA1從從投影側至影像源側依序包括一第三透鏡L13及一第四透鏡L14。第三透鏡L13為雙凸透鏡,其投影側面S15為凸面,影像源側面S16為凸面且為球面表面。第 四透鏡L14為彎月型透鏡,其投影側面S17為凸面且為球面表面,影像源側面S18為凹面。 The second lens group G12 includes a third lens L13 and a fourth lens L14 in order from the projection side to the image source side along the optical axis OA1. The third lens L13 is a biconvex lens, its projection side S15 is convex, and the image source side S16 is convex and spherical. First The four lens L14 is a meniscus lens, and its projection side surface S17 is convex and spherical surface, and the image source side surface S18 is concave surface.
第三透鏡群G13包括一第五透鏡L15。第五透鏡L15為雙凸透鏡,其投影側面S19為凸面,影像源側面S110為凸面,投影側面S19與影像源側面S110皆為球面表面。 The third lens group G13 includes a fifth lens L15. The fifth lens L15 is a biconvex lens, its projection side S19 is convex, the image source side S110 is convex, and both the projection side S19 and the image source side S110 are spherical surfaces.
第四透鏡群G14沿著光軸OA1從從投影側至影像源側依序包括一第六透鏡L16、一第七透鏡L17、一第八透鏡L18及一第九透鏡L19。第六透鏡L16與第七透鏡L17膠合成膠合透鏡,第八透鏡L18與第九透鏡L19膠合成膠合透鏡。第六透鏡L16為雙凸透鏡,其投影側面S112為凸面,影像源側面S113為凸面,投影側面S112與影像源側面S113皆為球面表面。第七透鏡L17為雙凹透鏡,其投影側面S113為凹面,影像源側面S114為凹面,投影側面S113與影像源側面S114皆為球面表面。第八透鏡L18為雙凹透鏡,其投影側面S115為凹面,影像源側面S116為凹面,投影側面S115與影像源側面S116皆為球面表面。第九透鏡L19為雙凸透鏡,其投影側面S116為凸面,影像源側面S117為凸面,投影側面S116與影像源側面S117皆為球面表面。 The fourth lens group G14 includes a sixth lens L16, a seventh lens L17, an eighth lens L18, and a ninth lens L19 in order from the projection side to the image source side along the optical axis OA1. The sixth lens L16 and the seventh lens L17 are cemented into a cemented lens, and the eighth lens L18 and the ninth lens L19 are cemented into a cemented lens. The sixth lens L16 is a biconvex lens, its projection side S112 is convex, the image source side S113 is convex, and both the projection side S112 and the image source side S113 are spherical surfaces. The seventh lens L17 is a biconcave lens, the projection side S113 is concave, the image source side S114 is concave, and the projection side S113 and the image source side S114 are both spherical surfaces. The eighth lens L18 is a biconcave lens, and its projection side S115 is concave, the image source side S116 is concave, and both the projection side S115 and the image source side S116 are spherical surfaces. The ninth lens L19 is a biconvex lens, its projection side S116 is convex, the image source side S117 is convex, and both the projection side S116 and the image source side S117 are spherical surfaces.
第五透鏡群G15包括一第十透鏡L110。第十透鏡L110為雙凸透鏡,其投影側面S118為凸面,影像源側面S119為凸面,投影側面S118與影像源側面S119皆為球面表面。 The fifth lens group G15 includes a tenth lens L110. The tenth lens L110 is a biconvex lens, its projection side S118 is convex, the image source side S119 is convex, and both the projection side S118 and the image source side S119 are spherical surfaces.
第六透鏡群G16包括一第十一透鏡L111。第十一透鏡L111為雙凸透鏡,其投影側面S120為凸面,影像源側面S121為凸面,投影側面S120與影像源側面S121皆為球面表面。 The sixth lens group G16 includes an eleventh lens L111. The eleventh lens L111 is a biconvex lens, its projection side S120 is convex, the image source side S121 is convex, and both the projection side S120 and the image source side S121 are spherical surfaces.
玻璃平板PG1其投影側面S122與影像源側面S123皆為平面。 The projection side S122 and the image source side S123 of the glass plate PG1 are both flat.
稜鏡P1其投影側面S124與影像源側面S125皆為平面。 The projection side S124 and the image source side S125 of the P1 are flat.
保護玻璃CG1其投影側面S126與影像源側面S127皆為平面。 The projection side S126 and the image source side S127 of the protective glass CG1 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,第一實施例中的投影鏡頭1至少滿足底下其中一條件:|Vd16-Vd17|>20 (1)
In addition, in order to maintain good optical performance of the projection lens of the present invention, the
|Vd18-Vd19|>20 (2) |Vd1 8 -Vd1 9 |>20 (2)
Vd11>45 (3) Vd1 1 >45 (3)
0.4<R112/f1W<2.5 (4) 0.4<R1 12 /f1 W <2.5 (4)
0.4<R112/f1T<2.5 (5) 0.4<R1 12 /f1 T <2.5 (5)
CRA1W<5度 (6) CRA1 W <5 degrees (6)
CRA1T<5度 (7) CRA1 T <5 degrees (7)
F1W>1.5 (8) F1 W >1.5 (8)
F1T>1.5 (9) F1 T >1.5 (9)
其中,Vd11為第一透鏡L11之阿貝系數,Vd16為第六透鏡L16之阿貝系數,Vd17為第七透鏡L17之阿貝系數,Vd18為第八透鏡L18之阿貝系數,Vd19為第九透鏡L19之阿貝系數,R112為第一透鏡L11之影像源側面S12之一曲率半徑,f1W為投影鏡頭1於廣角端之一有效焦距,f1T為投影鏡頭1於望遠端之一有效焦距,CRA1W為投影鏡頭1於廣角端之主光線抵達影像源IS1之一角度,CRA1T為投影鏡頭1於望遠端之主光線抵
達影像源IS1之一角度,F1W為投影鏡頭1於廣角端之光圈值,F1T為投影鏡頭1於望遠端之光圈值。
Wherein, Vd1 1 is the Abbe number of the first lens L11, Vd1 6 of the sixth lens L16 Abbe, Vd1 7 is Abbe number of the lens L17 of the seventh, Vd1 8 is the Abbe number of the eighth lens L18, Vd1 9 is the Abbe coefficient of the ninth lens L19, R1 12 is a radius of curvature of the image source side S12 of the first lens L11, f1 W is an effective focal length of the
利用上述透鏡與光圈ST1之設計,使得投影鏡頭1能達到可變焦距,有效的縮小體積、縮小光圈值、修正像差、提升鏡頭解析度,以達到良好的成像品質。
With the design of the lens and aperture ST1, the
表一為第1圖及第2圖之投影鏡頭1分別處於廣角端及望遠端時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於廣角端時之有效焦距等於14.3mm、光圈值等於1.81、主光線抵達影像源IS1之角度等於1.1度,於望遠端時之有效焦距等於22.9mm、光圈值等於2.1、主光線抵達影像源IS1之角度等於1.0度,投影鏡頭1之變焦倍率大約為1.6倍。在表一中,當一表面的曲率為0.00時(因曲率半徑等於1/曲率,故曲率半徑趨於∞),代表該表面為一平面。
Table 1 is the related parameter table of each lens when the
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 aspherical surface concave degree 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: aspherical 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 aspherical surface of each lens in Table 1, where k is the conic constant and A~G are the aspherical coefficients.
第一實施例之投影鏡頭1,其第一透鏡L11之阿貝係數Vd11=58,第六透鏡L16之阿貝係數Vd16=61,第七透鏡L17之阿貝係數Vd17=26,第八透鏡L18之阿貝係數Vd18=28,第九透鏡L19之阿貝係數
Vd19=81,第一透鏡L11之影像源側面S12之曲率半徑R112=16.67mm,投影鏡頭1於廣角端之有效焦距f1w=14.3mm,投影鏡頭1於望遠端之有效焦距f1T=22.9mm,投影鏡頭1於廣角端之主光線抵達影像源IS1之角度CRA1W=1.1度,投影鏡頭1於望遠端之主光線抵達影像源IS1之角度CRA1T=1.0度,投影鏡頭1於廣角端之光圈值F1W=1.81,投影鏡頭1於望遠端之光圈值F1T=2.1。由上述資料可得到Vd11=58、|Vd16-Vd17|=35、|Vd18-Vd19|=53、R112/f1W=1.17、R112/f1T=0.73、CRA1W=1.1度、CRA1T=1.0度、F1W=1.81、F1T=2.1,皆能滿足上述條件(1)至條件(9)之要求。
In the
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3A至第3G圖看出。第3A圖所示的,是第一實施例之投影鏡頭1於廣角端的場曲(Field Curvature)圖。第3B圖所示的,是第一實施例之投影鏡頭1於廣角端的畸變(Distortion)圖。第3C圖所示的,是第一實施例之投影鏡頭1於廣角端的相對照度(Relative Illumination)圖。第3D圖所示的,是第一實施例之投影鏡頭1於廣角端的調變轉換函數(Modulation Transfer Function)圖。第3E圖所示的,是第一實施例之投影鏡頭1於廣角端的離焦調變轉換函數(Through Focus Modulation Transfer Function)圖。第3F圖所示的,是第一實施例之投影鏡頭1於望遠端的調變轉換函數(Modulation Transfer Function)圖。第3G圖所示的,是第一實施例之投影鏡頭1於望遠端的離焦調變轉換函數(Through Focus Modulation Transfer Function)圖。
In addition, the optical performance of the
由第3A圖可看出,第一實施例之投影鏡頭1於廣角端對波長為0.450μm、0.480μm、0.550μm、0.600μm、0.630μm之光線,於子午(Tangential)方向與弧矢(Sagittal)方向之場曲介於-0.06mm至0.06mm之
間。由第3B圖(圖中的五條線幾乎重合,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於廣角端對波長為0.450μm、0.480μm、0.550μm、0.600μm、0.630μm之光線所產生的畸變介於-1.2%至0%之間。由第3C圖可看出,第一施例之投影鏡頭1於廣角端對波長為0.630μm之光線,於Y視場介於0mm至8.3mm之間其相對照度介於0.52至1.0之間。由第3D圖可看出,第一實施例之投影鏡頭1於廣角端對波長範圍介於0.450μm至0.630μm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、-2.4900mm、-7.4700mm、-8.3000mm,空間頻率介於0lp/mm至93lp/mm,其調變轉換函數值介於0.54至1.0之間。由第3E圖可看出,第一實施例之投影鏡頭1於廣角端對波長範圍介於0.450μm至0.630μm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、-2.4900mm、-4.1500mm、-7.4700mm、-8.3000mmmm,空間頻率等於93lp/mm時,當焦點偏移介於-0.44mm至0.25mm之間其調變轉換函數值皆大於0.2。由第3F圖可看出,第一實施例之投影鏡頭1於望遠端對波長範圍介於0.4500μm至0.6300μm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、-2.4900mm、-7.4700mm、-8.3000mm,空間頻率介於0lp/mm至93lp/mm,其調變轉換函數值介於0.50至1.0之間。由第3G圖可看出,第一實施例之投影鏡頭1於望遠端對波長範圍介於0.4500μm至0.6300μm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、-4.1500mm、-5.8100mm、-7.4700mm、-8.3000mm,空間頻率等於93lp/mm時,當焦點偏移介於-0.028mm至0.018mm之間其調變轉換函數值皆大於
0.2。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,相對照度、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。
As can be seen from FIG. 3A, the
本發明符合的條件以0.4<R112/f1W<2.5、0.4<R112/f1T<2.5、|Vd16-Vd17|>20或|Vd18-Vd19|>20為中心,本發明實施例的數值也落入其餘條件的範圍內。本發明條件0.4<R112/f1W<2.5、0.4<R112/f1T<2.5代表光要投射到螢幕上,所以到前端的時候R值的效果會較明顯,這樣光才能在比較小的光程內投射出比較大的角度,其最佳效果範圍為0.72<R12/f<1.18。條件|Vd16-Vd17|>20或|Vd18-Vd19|>20,是鏡頭修色差的特性,利用接連的兩枚Vd值落差較大的透鏡去配合,其最佳效果範圍為55>|Vd16-Vd17|>20、55>|Vd18-Vd19|>20。條件Vd11>45,代表第一透鏡的材質,其最佳效果範圍為60>Vd11>45。條件CRA<5度為本案的鏡頭特性,條件F>1.5限制鏡頭的光通量,值越小光通量越大,其最佳效果範圍為1.5<F<2.2。 To meet the conditions of the present invention is 0.4 <R1 12 / f1 W < 2.5,0.4 <R1 12 / f1 T <2.5, | Vd1 6 -Vd1 7 |> 20 or | Vd1 8 -Vd1 9 |> 20 as the center, according to the present invention The numerical values of the examples also fall within the range of the remaining conditions. In the present invention, the conditions 0.4<R1 12 /f1 W <2.5, 0.4<R1 12 /f1 T <2.5 represent that the light should be projected on the screen, so the effect of the R value will be more obvious when it reaches the front end, so that the light can be relatively small A relatively large angle is projected in the optical path, and the best effect range is 0.72<R 12 /f<1.18. Conditions |Vd1 6 -Vd1 7 |>20 or |Vd1 8 -Vd1 9 |>20, which is the characteristic of lens chromatic aberration, using two consecutive lenses with large Vd drop to match, the best effect range is 55 >|Vd1 6 -Vd1 7 |>20, 55>|Vd1 8 -Vd1 9 |>20. The condition Vd1 1 >45 represents the material of the first lens, and its best effect range is 60>Vd1 1 >45. The condition CRA<5 degrees is the lens characteristics of this case, and the condition F>1.5 limits the luminous flux of the lens. The smaller the value, the greater the luminous flux, and the best effect range is 1.5<F<2.2.
請參閱第4圖及第5圖,第4圖係依據本發明之投影鏡頭之第二實施例處於廣角端的透鏡配置與光路示意圖,第5圖係依據本發明之投影鏡頭之第二實施例處於望遠端的透鏡配置與光路示意圖。投影時,來自一影像源IS2之光線最後投影於一投影側。投影鏡頭2沿著一光軸OA2從投影側至一影像源側依序包括一第一透鏡群G21、一第二透鏡群G22、一第三透鏡群G23、一光圈ST2、一第四透鏡群G24、一第五透鏡群G25、一玻璃平板PG2、一稜鏡P2及一保護玻璃CG2。使用時藉由第一透鏡群G21與影像源IS2間各透鏡群之間距D245、D289、D21011、D21920的改變可達到調整投影鏡頭2之有效焦距,上述
間距D245、D289、D21011、D21920隨著投影鏡頭2由廣角端變焦至望遠端而變動之情形,可由第4圖以及第5圖中明顯看出。
Please refer to FIG. 4 and FIG. 5, FIG. 4 is a schematic diagram of a lens configuration and optical path at the wide-angle end of the second embodiment of the projection lens according to the present invention, and FIG. 5 is a second embodiment of the projection lens according to the present invention at Schematic diagram of lens configuration and optical path at the telephoto end. During projection, light from an image source IS2 is finally projected on a projection side. The
在第二實施例中,第一透鏡群G21具有負屈光力,第二透鏡群G22具有正屈光力,第三透鏡群G23具有正屈光力,第四透鏡群G24具有正屈光力,第五透鏡群G25具有正屈光力。 In the second embodiment, the first lens group G21 has negative refractive power, the second lens group G22 has positive refractive power, the third lens group G23 has positive refractive power, the fourth lens group G24 has positive refractive power, and the fifth lens group G25 has positive refractive power Refractive power.
第一透鏡群G21沿著光軸OA2從從投影側至影像源側依序包括一第一透鏡L21及一第二透鏡L22。第一透鏡L21為彎月形透鏡,其投影側面S21為凸面,影像源側面S22為凹面,投影側面S21與影像源側面S22皆為非球面表面。第二透鏡L22為雙凹透鏡,其投影側面S23為凹面,影像源側面S24為凹面,投影側面S23與影像源側面S24皆為非球面表面。 The first lens group G21 sequentially includes a first lens L21 and a second lens L22 from the projection side to the image source side along the optical axis OA2. The first lens L21 is a meniscus lens, its projection side S21 is convex, the image source side S22 is concave, and both the projection side S21 and the image source side S22 are aspherical surfaces. The second lens L22 is a biconcave lens, its projection side S23 is concave, the image source side S24 is concave, and both the projection side S23 and the image source side S24 are aspherical surfaces.
第二透鏡群G22沿著光軸OA2從從投影側至影像源側依序包括一第三透鏡L23及一第四透鏡L24。第三透鏡L23為雙凸透鏡,其投影側面S25為凸面,影像源側面S26為凸面且為球面表面。第四透鏡L24為彎月型透鏡,其投影側面S27為凸面且為球面表面,影像源側面S28為凹面。 The second lens group G22 includes a third lens L23 and a fourth lens L24 in order from the projection side to the image source side along the optical axis OA2. The third lens L23 is a biconvex lens, its projection side S25 is convex, and the image source side S26 is convex and spherical. The fourth lens L24 is a meniscus lens, its projection side surface S27 is convex and spherical surface, and the image source side surface S28 is concave surface.
第三透鏡群G23包括一第五透鏡L25。第五透鏡L25為雙凸透鏡,其投影側面S29為凸面,影像源側面S210為凸面,投影側面S29與影像源側面S210皆為球面表面。 The third lens group G23 includes a fifth lens L25. The fifth lens L25 is a biconvex lens, its projection side S29 is convex, the image source side S210 is convex, and both the projection side S29 and the image source side S210 are spherical surfaces.
第四透鏡群G24沿著光軸OA2從從投影側至影像源側依序包括一第六透鏡L26、一第七透鏡L27、一第八透鏡L28、一第九透鏡L29及一第十透鏡L210。第六透鏡L26與第七透鏡L27 膠合成膠合透鏡,第八透鏡L28與第九透鏡L29膠合成膠合透鏡。第六透鏡L26為雙凸透鏡,其投影側面S212為凸面,影像源側面S213為凸面,投影側面S212與影像源側面S213皆為球面表面。第七透鏡L27為雙凹透鏡,其投影側面S213為凹面,影像源側面S214為凹面,投影側面S213與影像源側面S214皆為球面表面。第八透鏡L28為雙凹透鏡,其投影側面S215為凹面,影像源側面S216為凹面,投影側面S215與影像源側面S216皆為球面表面。第九透鏡L29為雙凸透鏡,其投影側面S216為凸面,影像源側面S217為凸面,投影側面S216與影像源側面S217皆為球面表面。第十透鏡L210為雙凸透鏡,其投影側面S218為凸面,影像源側面S219為凸面,投影側面S218與影像源側面S219皆為球面表面。 The fourth lens group G24 includes, in order from the projection side to the image source side along the optical axis OA2, a sixth lens L26, a seventh lens L27, an eighth lens L28, a ninth lens L29, and a tenth lens L210 . Sixth lens L26 and seventh lens L27 A cemented cemented lens, an eighth lens L28 and a ninth lens L29 are cemented into a cemented lens. The sixth lens L26 is a biconvex lens, its projection side S212 is convex, the image source side S213 is convex, and both the projection side S212 and the image source side S213 are spherical surfaces. The seventh lens L27 is a biconcave lens, and its projection side S213 is concave, the image source side S214 is concave, and both the projection side S213 and the image source side S214 are spherical surfaces. The eighth lens L28 is a biconcave lens, and its projection side S215 is concave, the image source side S216 is concave, and both the projection side S215 and the image source side S216 are spherical surfaces. The ninth lens L29 is a biconvex lens, its projection side S216 is convex, the image source side S217 is convex, and both the projection side S216 and the image source side S217 are spherical surfaces. The tenth lens L210 is a biconvex lens, its projection side S218 is convex, the image source side S219 is convex, and both the projection side S218 and the image source side S219 are spherical surfaces.
第五透鏡群G25包括一第十一透鏡L211。第十一透鏡L211為雙凸透鏡,其投影側面S220為凸面,影像源側面S221為凸面,投影側面S220與影像源側面S221皆為球面表面。 The fifth lens group G25 includes an eleventh lens L211. The eleventh lens L211 is a biconvex lens, its projection side S220 is convex, the image source side S221 is convex, and both the projection side S220 and the image source side S221 are spherical surfaces.
玻璃平板PG2其投影側面S222與影像源側面S223皆為平面。 The projection side S222 and the image source side S223 of the glass plate PG2 are both flat.
稜鏡P2其投影側面S224與影像源側面S225皆為平面。 The projection side S224 and the image source side S225 of the P2 are flat.
保護玻璃CG2其投影側面S226與影像源側面S227皆為平面。 The projection side S226 and the image source side S227 of the protective glass CG2 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,第二實施例中的投影鏡頭2至少滿足底下其中一條件:|Vd26-Vd27|>20 (10)
In addition, in order to maintain good optical performance of the projection lens of the present invention, the
|Vd28-Vd29|>20 (11) |Vd2 8 -Vd2 9 |>20 (11)
Vd21>45 (12) Vd2 1 >45 (12)
0.4<R212/f2W<2.5 (13) 0.4<R2 12 /f2 W <2.5 (13)
0.4<R212/f2T<2.5 (14) 0.4<R2 12 /f2 T <2.5 (14)
CRA2W<5度 (15) CRA2 W <5 degrees (15)
CRA2T<5度 (16) CRA2 T <5 degrees (16)
F2W>1.5 (17) F2 W >1.5 (17)
F2T>1.5 (18) F2 T >1.5 (18)
其中,Vd21為第一透鏡L21之阿貝系數,Vd26為第六透鏡L26之阿貝系數,Vd27為第七透鏡L27之阿貝系數,Vd28為第八透鏡L28之阿貝系數,Vd29為第九透鏡L29之阿貝系數,R212為第一透鏡L21之影像源側面S22之一曲率半徑,f2W為投影鏡頭2於廣角端之一有效焦距,f2T為投影鏡頭2於望遠端之一有效焦距,CRA2W為投影鏡頭2於廣角端之主光線抵達影像源IS2之一角度,CRA2T為投影鏡頭2於望遠端之主光線抵達影像源IS2之一角度,F2W為投影鏡頭2於廣角端之光圈值,F2T為投影鏡頭2於望遠端之光圈值。
Wherein, Vd2 1 is the Abbe number of the first lens L21, Vd2 6 of the sixth lens L26 Abbe, Vd2 7 is Abbe number of the lens L27 of the seventh, Vd2 8 is the Abbe number of the eighth lens L28, Vd2 9 is the Abbe coefficient of the ninth lens L29, R2 12 is a radius of curvature of the image source side S22 of the first lens L21, f2 W is an effective focal length of the
利用上述透鏡與光圈ST2之設計,使得投影鏡頭2能達到可變焦距,有效的縮小體積、縮小光圈值、修正像差、提升鏡頭解析度,以達到良好的成像品質。
With the design of the lens and the aperture ST2, the
表三為第4圖及第5圖之投影鏡頭2分別處於廣角端及望遠端時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於廣角端時之有效焦距等於14.3mm、光圈值等於1.75、主光線抵達影像源IS2之角度等於1.4度,於望遠端時之有效焦距等於21.8mm、光
圈值等於1.95、主光線抵達影像源IS2之角度等於1.35度,投影鏡頭2之變焦倍率大約為1.5倍。
Table 3 is the relevant parameter table of each lens when the
表三中各個透鏡之非球面表面凹陷度z其公式相同於上述表一所適用的非球面表面凹陷度z,其中各參數的物理意義可參照表一非球面表面凹陷度z公式的說明,在此不再重述。 The formula of the aspherical surface depression degree z of each lens in Table 3 is the same as the aspherical surface depression degree z applicable to Table 1 above. For the physical meaning of each parameter, please refer to the description of Table 1 aspherical surface depression degree z formula. This will not be repeated.
表四為表三中各個透鏡之非球面表面之相關參數表。 Table 4 is the related parameter table of the aspherical surface of each lens in Table 3.
第二實施例之投影鏡頭2,其第一透鏡L21之阿貝係數Vd21=58,第六透鏡L26之阿貝係數Vd26=60,第七透鏡L27之阿貝係數Vd27=25,第八透鏡L28之阿貝係數Vd28=25,第九透鏡L29之阿貝係數Vd29=64,第一透鏡L21之影像源側面S22之曲率半徑R212=16.67mm,投影鏡頭2於廣角端之有效焦距f2w=14.3mm,投影鏡頭2於望遠端之有效焦距f2T=21.8mm,投影鏡頭2於廣角端之主光線抵達影像源IS2之角度CRA2W=1.4度,投影鏡頭2於望遠端之主光線抵達影像源IS2之角度CRA2T=1.35度,投影鏡頭2於廣角端之光圈值F2W=1.75,投影鏡頭2於望遠端之光圈值F2T=1.95。由上述資料可得到Vd21=58、|Vd26-Vd27|=35、|Vd28-Vd29|=39、R212/f2W=1.17、R212/f2T=0.76、CRA2W=1.4度、CRA2T=1.35度、F2W=1.75、F2T=1.95,皆能滿足上述條件(10)至條件(18)之要求。
In the
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6A至第6G圖看出。第6A圖所示的,是第二實施例之投影鏡頭2於廣角端的場曲(Field Curvature)圖。第6B圖所示的,是第二實施例之投影鏡頭2於廣角端的畸變(Distortion)圖。第6C圖所示的,是第二實施例之投影鏡頭2於廣角端的相對照度(Relative Illumination)圖。第6D圖所示的,是第二實施例之投影鏡頭2於廣角端的調變轉換函數(Modulation Transfer Function)圖。第6E圖所示的,是第二實施例之投影鏡頭2於廣角端的離焦調變轉換函數(Through Focus Modulation Transfer Function)圖。第6F圖所示的,是第二實施例之投影鏡頭2於望遠端的調變轉換函數(Modulation Transfer Function)圖。第6G圖所示的,是第二實施例之投影鏡頭2於望遠端的離焦調變轉換函數(Through Focus Modulation Transfer Function)圖。
In addition, the optical performance of the
由第6A圖可看出,第二實施例之投影鏡頭2於廣角端對波長為0.450μm、0.480μm、0.486μm、0.550μm、0.588μm、0.600μm、0.630μm、0.656μm之光線,於子午(Tangential)方向與弧矢(Sagittal)方向之場曲介於-0.02mm至0.07mm之間。由第6B圖(圖中的八條線幾乎重合,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於廣角端對波長為0.450μm、0.480μm、0.486μm、0.550μm、0.588μm、0.600μm、0.630μm、0.656μm之光線所產生的畸變介於-1.2%至0%之間。由第6C圖可看出,第二施例之投影鏡頭2於廣角端對波長為0.480μm之光線,於Y視場介於0mm至8.3mm之間其相對照度介於0.64至1.0之間。由第6D圖可看出,第二實施例之投影鏡頭2於廣角端對波長範圍介於0.450μm至0.6563μm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、-2.4900mm、-7.4700mm、-8.3000mm,空
間頻率介於0lp/mm至93lp/mm,其調變轉換函數值介於0.57至1.0之間。由第6E圖可看出,第二實施例之投影鏡頭2於廣角端對波長範圍介於0.4500μm至0.6563μm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、-0.8300mm、-5.8100mm、-7.4700mm、-8.3000mm,空間頻率等於93lp/mm時,當焦點偏移介於-0.016mm至0.013mm之間其調變轉換函數值皆大於0.2。由第6F圖可看出,第二實施例之投影鏡頭2於望遠端對波長範圍介於0.4500μm至0.6563μm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、-2.4900mm、-7.4700mm、-8.3000mm,空間頻率介於0lp/mm至93lp/mm,其調變轉換函數值介於0.37至1.0之間。由第6G圖可看出,第二實施例之投影鏡頭2於望遠端對波長範圍介於0.450μm至0.6563μm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、-2.4900mm、-4.1500mm、-7.4700mm、-8.3000mm,空間頻率等於93lp/mm時,當焦點偏移介於-0.022mm至0.018mm之間其調變轉換函數值皆大於0.2。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,相對照度、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。
As can be seen from FIG. 6A, the
本發明符合的條件以0.4<R212/f2W<2.5、0.4<R212/f2T<2.5、|Vd26-Vd27|>20或|Vd28-Vd29|>20為中心,本發明實施例的數值也落入其餘條件的範圍內。本發明條件0.4<R212/f2W<2.5、0.4<R212/f2T<2.5代表光要投射到螢幕上,所以到前端的時候R值的效果會較明顯,這樣光才能在比較小的光程內投射出比較大的角度,其最佳效果範圍為0.72<R12/f<1.18。條件|Vd26-Vd27|>20或|Vd28-Vd29|>20,是 鏡頭修色差的特性,利用接連的兩枚Vd值落差較大的透鏡去配合,其最佳效果範圍為55>|Vd26-Vd27|>20、55>|Vd28-Vd29|>20。條件Vd21>45,代表第一透鏡的材質,其最佳效果範圍為60>Vd21>45。條件CRA<5度為本案的鏡頭特性,條件F>1.5限制鏡頭的光通量,值越小光通量越大,其最佳效果範圍為1.5<F<2.2。 To meet the conditions of the present invention is 0.4 <R2 12 / f2 W < 2.5,0.4 <R2 12 / f2 T <2.5, | Vd2 6 -Vd2 7 |> 20 or | Vd2 8 -Vd2 9 |> 20 as the center, according to the present invention The numerical values of the examples also fall within the range of the remaining conditions. In the present invention, the condition 0.4<R2 12 /f2 W <2.5, 0.4<R2 12 /f2 T <2.5 represents that the light should be projected on the screen, so the effect of the R value will be more obvious when it reaches the front end, so that the light can be relatively small A relatively large angle is projected in the optical path, and the best effect range is 0.72<R 12 /f<1.18. Conditions |Vd2 6 -Vd2 7 |>20 or |Vd2 8 -Vd2 9 |>20, which is the characteristic of lens chromatic aberration, using two consecutive lenses with large Vd drop to match, the best effect range is 55 >|Vd2 6 -Vd2 7 |>20, 55>|Vd2 8 -Vd2 9 |>20. The condition Vd2 1 >45 represents the material of the first lens, and the best effect range is 60>Vd2 1 >45. The condition CRA<5 degrees is the lens characteristics of this case, and the condition F>1.5 limits the luminous flux of the lens. The smaller the value, the greater the luminous flux, and the best effect range is 1.5<F<2.2.
1:投影鏡頭 1: projection lens
G11:第一透鏡群 G11: First lens group
G12:第二透鏡群 G12: Second lens group
G13:第三透鏡群 G13: third lens group
G14:第四透鏡群 G14: fourth lens group
G15:第五透鏡群 G15: Fifth lens group
G16:第六透鏡群 G16: sixth lens group
L11:第一透鏡 L11: the first lens
L12:第二透鏡 L12: second lens
L13:第三透鏡 L13: third lens
L14:第四透鏡 L14: fourth 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
L19:第九透鏡 L19: Ninth lens
L110:第十透鏡 L110: Tenth lens
L111:第十一透鏡 L111: Eleventh lens
ST1:光圈 ST1: Aperture
OA1:光軸 OA1: Optical axis
IS1:影像源 IS1: Image source
PG1:玻璃平板 PG1: glass tablet
P1:稜鏡 P1: 稜鏡
CG1:保護玻璃 CG1: protective glass
S11、S12、S13、S14、S15、S16、S17:面 S11, S12, S13, S14, S15, S16, S17: surface
S18、S19、S110、S111、S112、S113:面 S18, S19, S110, S111, S112, S113: surface
S114、S115、S116、S117、S118、S119:面 S114, S115, S116, S117, S118, S119: surface
S120、S121、S122、S123、S124、S125:面 S120, S121, S122, S123, S124, S125: surface
S126、S127:面 S126, S127: noodles
D145、D189、D11011、D11718、D11920:間距 D1 45 , D1 89 , D1 1011 , D1 1718 , D1 1920 : pitch
Claims (11)
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| CN102109667A (en) * | 2009-12-28 | 2011-06-29 | 富士胶片株式会社 | Zoom lens for projection and projection-type display apparatus |
| TW201350958A (en) * | 2012-06-05 | 2013-12-16 | Delta Electronics Inc | Projection zoom lens |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN102109667A (en) * | 2009-12-28 | 2011-06-29 | 富士胶片株式会社 | Zoom lens for projection and projection-type display apparatus |
| TW201350958A (en) * | 2012-06-05 | 2013-12-16 | Delta Electronics Inc | Projection zoom lens |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| TWI811875B (en) * | 2021-12-02 | 2023-08-11 | 揚明光學股份有限公司 | Projection lens and projection apparatus |
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