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TWI480620B - Zoom projection lens - Google Patents

Zoom projection lens Download PDF

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Publication number
TWI480620B
TWI480620B TW099138574A TW99138574A TWI480620B TW I480620 B TWI480620 B TW I480620B TW 099138574 A TW099138574 A TW 099138574A TW 99138574 A TW99138574 A TW 99138574A TW I480620 B TWI480620 B TW I480620B
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lens
zoom projection
projection lens
mirror group
focal length
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TW099138574A
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Chinese (zh)
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TW201219877A (en
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Yuan Fang Liang
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Asia Optical Co Inc
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Description

變焦投影鏡頭Zoom projection lens

本發明係與投影鏡頭有關,更詳而言之是指一種變焦投影鏡頭。The present invention relates to a projection lens, and more particularly to a zoom projection lens.

近年來,隨著影像科技的進步,利用投影機進行簡報、視訊、會議或是觀賞影片之人越來越多。而為使投影機能適用於各種設置環境(如客廳、會議室或教室),投影機之鏡頭大多具備改變焦距之功能,藉以可使投影出來之畫面可依不同設置環境改變大小。另外,為使投影機能更便於攜帶與使用,鏡頭的體積也將被大幅地縮小,以滿足人們所期望的小型化及輕量化之需求,再者,除了小型化與輕量化外,也要能夠具有更高的光學效能,才能使達成高解析度和高對比之影像展現。因此,小型化和高光學效能,是變焦投影鏡頭不可缺兩項要件。In recent years, with the advancement of imaging technology, more and more people use projectors for briefing, video, conferences or watching movies. In order to make the projector suitable for various setting environments (such as living room, conference room or classroom), the lens of the projector mostly has the function of changing the focal length, so that the projected image can be changed according to different setting environments. In addition, in order to make the projector more portable and usable, the size of the lens will be greatly reduced to meet the demand for miniaturization and weight reduction. In addition to miniaturization and weight reduction, it is also necessary to be able to It has higher optical performance to achieve high resolution and high contrast image display. Therefore, miniaturization and high optical performance are two essential requirements for a zoom projection lens.

然而,目前投影機所用之變焦投影鏡頭,為達高光學效能,不外乎使用了三組以上之鏡群,而無法達到真正的小型化與輕量化。亦或是為達到使鏡頭小型化之目的,而僅使用數片透鏡,卻使得其光學校能無法有效得到提升。However, at present, the zoom projection lens used in the projector is capable of achieving high optical performance, and no more than three groups of mirrors are used, and true miniaturization and weight reduction cannot be achieved. Or, in order to achieve the purpose of miniaturizing the lens, only a few lenses are used, but the light school can not be effectively improved.

有鑑於此,本發明之主要目的在於提供一種變焦投影鏡頭,由兩組鏡群所組成,不僅體積小,且具有高光學效能。In view of this, the main object of the present invention is to provide a zoom projection lens which is composed of two groups of mirrors, which is not only small in size but also has high optical performance.

緣以達成上述目的,本發明所提供之變焦投影鏡頭沿一光軸且由一成像側至一像源側依序排列設置之一第一鏡群以及一第二鏡群;其中,該第一鏡群具有負屈光力;該第一鏡群中由該成像側至該像源側算起之前三片鏡片之屈光力依序為負、正、負;該第二鏡群具有正屈光力;該第二鏡群中由該成像側至該像源側算起最後一片鏡片具有正屈光力,且至少一面為非球面表面;另外,該第一鏡群可於該成像側與該第二鏡群間沿該光軸移動。In order to achieve the above objective, the zoom projection lens provided by the present invention is arranged along an optical axis and sequentially arranged from an imaging side to an image source side, and a first mirror group and a second mirror group; wherein, the first The mirror group has a negative refractive power; the refractive power of the first three lenses in the first mirror group from the imaging side to the image source side is negative, positive and negative in sequence; the second mirror group has a positive refractive power; the second The last lens in the mirror group from the imaging side to the image source side has a positive refractive power, and at least one side is an aspherical surface; in addition, the first mirror group may be between the imaging side and the second mirror group. The optical axis moves.

藉此,利用移動該第一鏡群,以達到改變鏡頭焦距之目的。Thereby, the first mirror group is moved to achieve the purpose of changing the focal length of the lens.

為能更清楚地說明本發明,茲舉較佳實施例並配合圖示詳細說明如後。In order that the present invention may be more clearly described, the preferred embodiments are illustrated in the accompanying drawings.

請參閱圖1,為本發明第一較佳實施例變焦投影鏡頭1之鏡片配置圖,其包含有沿光軸Z且由成像側至像源側依序排列設置且由玻璃製成之一第一鏡群G1與一第二鏡群G2。另外,該第一鏡群G1可於成像側與該第二鏡群G2間,沿光軸Z進行移動,以達到改變鏡頭焦距之目的,使該變焦投影鏡頭1可依該第一鏡群G1之位置區分為廣角(wide-angle)狀態、中間(middle)狀態與遠距投影(telephoto)狀態。再者,依使用上的需求,在第二鏡群G2與像源側之間更可設置一玻璃覆蓋CG(Cover Glass),係一平板玻璃。其中:1 is a lens configuration diagram of a zoom projection lens 1 according to a first preferred embodiment of the present invention, which includes a film along the optical axis Z and arranged in an order from the imaging side to the image source side and made of glass. A mirror group G1 and a second mirror group G2. In addition, the first mirror group G1 can be moved along the optical axis Z between the imaging side and the second mirror group G2 to achieve the purpose of changing the focal length of the lens, so that the zoom projection lens 1 can be according to the first mirror group G1. The position is divided into a wide-angle state, a middle state, and a telephoto state. Furthermore, depending on the requirements of use, a glass cover CG (Cover Glass) may be disposed between the second mirror group G2 and the image source side, which is a flat glass. among them:

該第一鏡群G1具有負屈光力,且包含有一第一鏡片L1、一第二鏡片L2、一第三鏡片L3、一第四鏡片L4以及一第五鏡片L5。該第一鏡片L1為一具有負屈光力之新月型透鏡,且其凸面R1朝向成像側。該第二鏡片L2為一具有正屈光力之雙凸透鏡。該第三鏡片L3為一具有負屈光力之新月型透鏡,且其凸面R5朝向成像側。該第四鏡片L4為一具有負屈光力之雙凹透鏡。該第五鏡片L5為一具有正屈光力之單凸透鏡,且其凸面R9朝向成像側。The first mirror group G1 has a negative refractive power and includes a first lens L1, a second lens L2, a third lens L3, a fourth lens L4, and a fifth lens L5. The first lens L1 is a crescent lens having a negative refractive power, and its convex surface R1 faces the imaging side. The second lens L2 is a lenticular lens having a positive refractive power. The third lens L3 is a crescent lens having a negative refractive power, and its convex surface R5 faces the imaging side. The fourth lens L4 is a biconcave lens having a negative refractive power. The fifth lens L5 is a single convex lens having a positive refractive power, and its convex surface R9 faces the imaging side.

該第二鏡群G2具有正屈光力,且包含有一第六鏡片L6、一第七鏡片L7、一第八鏡片L8、一第九鏡片L9、一第十鏡片L10以及一第十一鏡片L11。該第六透鏡L6為一具有正屈光力之單凸透鏡,且其凸面R11朝向成像側。該第七透鏡L7為一具有負屈光力之雙凹透鏡。該第八鏡片L8為一具有正屈光力之雙凸透鏡,且該變焦投影鏡頭1之光圈ST設於該第八透鏡L8之表面R16上。該第九鏡片L9為一具有正屈光力之新月型透鏡,且其凸面R17朝向成像側。該第十鏡片L10為一具有負屈光力之雙凹透鏡。該第十一鏡片L11為一具有正屈光力之雙凸透鏡,且其表面R21、R22皆為非球面表面。The second mirror group G2 has a positive refractive power and includes a sixth lens L6, a seventh lens L7, an eighth lens L8, a ninth lens L9, a tenth lens L10 and an eleventh lens L11. The sixth lens L6 is a single convex lens having a positive refractive power, and its convex surface R11 faces the image forming side. The seventh lens L7 is a biconcave lens having a negative refractive power. The eighth lens L8 is a lenticular lens having a positive refractive power, and the aperture ST of the zoom projection lens 1 is disposed on the surface R16 of the eighth lens L8. The ninth lens L9 is a crescent lens having a positive refractive power, and its convex surface R17 faces the image forming side. The tenth lens L10 is a biconcave lens having a negative refractive power. The eleventh lens L11 is a lenticular lens having a positive refractive power, and the surfaces R21 and R22 thereof are all aspherical surfaces.

為能使該變焦投影鏡頭1能有效地縮減鏡頭總長並可修正像差,該變焦投影鏡頭1滿足下列條件:In order to enable the zoom projection lens 1 to effectively reduce the total length of the lens and correct the aberration, the zoom projection lens 1 satisfies the following conditions:

(1) -0.87<f2/f1<-0.76 (2) -2.09<f1/fw<-1.85(1) -0.87<f2/f1<-0.76 (2) -2.09<f1/fw<-1.85

(3) 1.59<f2/fw<1.64 (4) 0.70<fw/bf<0.71(3) 1.59<f2/fw<1.64 (4) 0.70<fw/bf<0.71

(5) 6.66<tt/fw<6.7 (6) 4.7<tt/bf<4.74(5) 6.66<tt/fw<6.7 (6) 4.7<tt/bf<4.74

其中,f1為該第一鏡群G1之有效焦距;f2為該第二鏡群G2之有效焦距;fw為該變焦投影鏡頭1於廣角(wide-angle)狀態下之有效焦距;bf為該變焦投影鏡頭1之後焦長度;tt為該變焦投影鏡頭1之總長度。Where f1 is the effective focal length of the first mirror group G1; f2 is the effective focal length of the second mirror group G2; fw is the effective focal length of the zoom projection lens 1 in the wide-angle state; bf is the zoom The focal length of the projection lens 1; tt is the total length of the zoom projection lens 1.

另外,為使該變焦投影鏡頭1能有效地縮減鏡頭總長並增加後焦長度,該變焦投影鏡頭1更滿足下列條件:In addition, in order to enable the zoom projection lens 1 to effectively reduce the total length of the lens and increase the back focus length, the zoom projection lens 1 satisfies the following conditions:

(7) -1.31<ex/bf<-1.24 (8) 0.787<lt/tt<0.789(7) -1.31<ex/bf<-1.24 (8) 0.787<lt/tt<0.789

(9) 1.31<fg/fw<2.2(9) 1.31<fg/fw<2.2

其中,ex為該變焦投影鏡頭1之出瞳位置(exit pupil position);lt為該變焦投影鏡頭1之第一個表面R1至最後一個表面R24間之長度;fg為該第十一鏡片L11之有效焦距。Where ex is the exit pupil position of the zoom projection lens 1; lt is the length between the first surface R1 and the last surface R24 of the zoom projection lens 1; fg is the eleventh lens L11 Effective focal length.

本發明第一實施例之變焦投影鏡頭1的焦距F(Focus Length)、數值孔徑FNO(F-number)、各個鏡片表面的光軸Z通過處的曲率半徑R(radius of curvature)、各鏡片於光軸Z上之厚度T(thickness)、各鏡片之折射率Nd(refractive index)及各鏡片之阿貝係數Vd(Abbe number),如表一所示:The focal length F (Focus Length) of the zoom projection lens 1 of the first embodiment of the present invention, the numerical aperture FNO (F-number), the radius of curvature R of the optical axis Z of each lens surface, and the respective lenses are The thickness T on the optical axis Z, the refractive index Nd (refractive index) of each lens, and the Abbe number of each lens are shown in Table 1:

表一之厚度T中,(W)是指該變焦投影鏡頭1在廣角(wide-angle)狀態時,於光軸Z上之間距;(M)是指該變焦投影鏡頭1在中間(middle)狀態時,於光軸Z上之間距;(T)是指該變焦投影鏡頭1在長距投影(telephoto)狀態時,於光軸Z上之間距。In the thickness T of Table 1, (W) refers to the distance between the zoom projection lens 1 on the optical axis Z in the wide-angle state; (M) means that the zoom projection lens 1 is in the middle (middle) In the state, the distance between the optical axes Z; (T) refers to the distance between the zoom projection lens 1 on the optical axis Z in the telephoto state.

另外,本實施例之第十一鏡片L11之非球面表面R21、R22之表面凹陷度D由下列公式所得到:In addition, the surface depression degree D of the aspherical surfaces R21 and R22 of the eleventh lens L11 of the present embodiment is obtained by the following formula:

其中:D:非球面表面之凹陷度;C:曲率半徑之倒數;H:表面之孔徑半徑;K:圓錐係數;E4 ~E14 :表面之孔徑半徑H的各階係數。Where: D: the degree of depression of the aspheric surface; C: the reciprocal of the radius of curvature; H: the aperture radius of the surface; K: the conic coefficient; E 4 ~ E 14 : the order factor of the aperture radius H of the surface.

在本實施例中,各個非球面表面的圓錐係數K(conic constant)及表面孔徑半徑H的各階係數E4 ~E14 如表二所示:In this embodiment, the conic coefficients of the respective aspherical surfaces and the order coefficients E 4 to E 14 of the surface aperture radius H are as shown in Table 2:

藉由上述的鏡片與光圈之配置,使得本實施例之變焦投影鏡頭1不但可有效縮小體積以滿足輕量化之需求,該變焦投影鏡頭1在廣角(wide-angle)狀態時,其成像品質上也可達到要求,這可從圖2A至圖2D看出。With the above arrangement of the lens and the aperture, the zoom projection lens 1 of the present embodiment can effectively reduce the volume to meet the demand for light weight, and the zoom projection lens 1 has an image quality in a wide-angle state. The requirements can also be met, as can be seen from Figures 2A to 2D.

圖2A所示的,是本實施例之變焦投影鏡頭1的縱向色差圖;圖2B所示的,是本實施例之變焦投影鏡頭1的橫向色差圖;圖2C所示的,是本實施例之變焦投影鏡頭1的場曲圖及畸變圖;圖2D所示的,是本實施例之變焦投影鏡頭1的空間頻率調制傳遞函數圖(Spatial Frequency MTF)。從圖2A及圖2B可看出,本實施例變焦投影鏡頭1之縱向色差最大不超過0.07mm和-0.03mm,橫向色差最大不超過4μm和-1μm。從圖2C可看出,本實施例變焦投影鏡頭1之最大場曲不超過0.10mm與-0.04mm,且畸變量不超過2%。從圖2D可看出,本實施例變焦投影鏡頭1在60 lp/mm的時候,其調制光學傳遞函數值仍維持在50%以上。2A is a longitudinal chromatic aberration diagram of the zoom projection lens 1 of the present embodiment; FIG. 2B is a lateral chromatic aberration diagram of the zoom projection lens 1 of the present embodiment; and FIG. 2C is the embodiment. The field curvature map and the distortion map of the zoom projection lens 1 are shown in FIG. 2D, which is a spatial frequency modulation transfer function map (Spatial Frequency MTF) of the zoom projection lens 1 of the present embodiment. As can be seen from FIG. 2A and FIG. 2B, the longitudinal chromatic aberration of the zoom projection lens 1 of the present embodiment does not exceed 0.07 mm and -0.03 mm at the maximum, and the lateral chromatic aberration does not exceed 4 μm and -1 μm at the maximum. As can be seen from FIG. 2C, the maximum field curvature of the zoom projection lens 1 of the present embodiment does not exceed 0.10 mm and -0.04 mm, and the distortion variable does not exceed 2%. As can be seen from FIG. 2D, when the zoom projection lens 1 of the present embodiment is at 60 lp/mm, the modulation optical transfer function value is maintained at 50% or more.

另外,該變焦投影鏡頭1在中間(middle)狀態時,其成像品質上也可達到要求,這可從圖3A至圖3D看出。從圖3A及圖3B可看出,本實施例變焦投影鏡頭1之縱向色差最大不超過0.07mm和-0.05mm,橫向色差最大不超過4μm和-2μm。從圖3C可看出,本實施例變焦投影鏡頭1之最大場曲不超過0.10mm與-0.08mm,且畸變量不超過0.8%。從圖3D可看出,本實施例變焦投影鏡頭1在60 lp/mm的時候,其調制光學傳遞函數值仍維持在40%以上。In addition, when the zoom projection lens 1 is in the middle state, its image quality can also be achieved, which can be seen from FIG. 3A to FIG. 3D. As can be seen from FIG. 3A and FIG. 3B, the longitudinal chromatic aberration of the zoom projection lens 1 of the present embodiment does not exceed 0.07 mm and -0.05 mm at the maximum, and the lateral chromatic aberration does not exceed 4 μm and -2 μm at the maximum. As can be seen from FIG. 3C, the maximum field curvature of the zoom projection lens 1 of the present embodiment does not exceed 0.10 mm and -0.08 mm, and the distortion variable does not exceed 0.8%. As can be seen from FIG. 3D, when the zoom projection lens 1 of the present embodiment is at 60 lp/mm, the modulation optical transfer function value is maintained at 40% or more.

再者,該變焦投影鏡頭1在長距投影(telephoto)狀態時,其成像品質上也可達到要求,這可從圖4A至圖4D看出。從圖4A及圖4B可看出,本實施例變焦投影鏡頭1之縱向色差最大不超過0.08mm和-0.08mm,橫向色差最大不超過4μm和-4μm。從圖4C可看出,本實施例變焦投影鏡頭1之最大場曲不超過0.12mm與-0.12mm,且畸變量不超過0.4%。從圖4D可看出,本實施例變焦投影鏡頭1在60 lp/mm的時候,其調制光學傳遞函數值仍維持在40%以上,顯見本實施例之變焦投影鏡頭1的解析度不管是在是廣角(wide-angle)狀態、中間(middle)狀態或是長距投影(telephoto)狀態時,都是符合標準的。Furthermore, the zoom projection lens 1 can also meet the imaging quality in the telephoto state, which can be seen from FIG. 4A to FIG. 4D. As can be seen from FIGS. 4A and 4B, the longitudinal chromatic aberration of the zoom projection lens 1 of the present embodiment does not exceed 0.08 mm and -0.08 mm at the maximum, and the lateral chromatic aberration does not exceed 4 μm and -4 μm at the maximum. As can be seen from FIG. 4C, the maximum field curvature of the zoom projection lens 1 of the present embodiment does not exceed 0.12 mm and -0.12 mm, and the distortion variable does not exceed 0.4%. As can be seen from FIG. 4D, when the zoom projection lens 1 of the present embodiment is at 60 lp/mm, the modulation optical transfer function value is maintained at 40% or more. It is apparent that the resolution of the zoom projection lens 1 of the present embodiment is It is a standard when it is a wide-angle state, a middle state, or a telephoto state.

以上所述的,是本發明第一實施例的變焦投影鏡頭1;依據本發明的技術,以下配合圖5說明本發明的第二實施例。The above is the zoom projection lens 1 of the first embodiment of the present invention; in accordance with the technology of the present invention, a second embodiment of the present invention will be described below with reference to FIG.

本實施例之變焦投影鏡頭2包含有沿光軸Z且由成像側至像源側依序排列設置並由玻璃製成之一第一鏡群G1與一第二鏡群G2。另外,該第一鏡群G1同樣可於成像側與該第二鏡群G2間,沿光軸Z進行移動,以改變鏡頭之焦距,使該變焦投影鏡頭可依該第一鏡群G1之位置區分為廣角(wide-angle)狀態、中間(middle)狀態與遠距投影(telephoto)狀態。再者,該第二鏡群G2與像源側之間同樣設置有一玻璃覆蓋CG(Cover Glass)。The zoom projection lens 2 of the present embodiment includes a first mirror group G1 and a second mirror group G2 which are arranged along the optical axis Z and are arranged in order from the imaging side to the image source side and are made of glass. In addition, the first mirror group G1 can also move along the optical axis Z between the imaging side and the second mirror group G2 to change the focal length of the lens, so that the zoom projection lens can be positioned according to the first mirror group G1. It is divided into a wide-angle state, a middle state, and a telephoto state. Furthermore, a glass cover CG (Cover Glass) is disposed between the second mirror group G2 and the image source side.

該第一鏡群G1具有負屈光力,其包含有一第一鏡片L1、一第二鏡片L2、一第三鏡片L3、一第四鏡片L4以及一第五鏡片L5。該第一鏡片L1為一具有負屈光力之新月型鏡片,其凸面R1朝向成像側。該第二鏡片L2為一具有正屈光力之雙凸透鏡。該第三鏡片L3為一具有負屈光力之新月型透鏡,且其凸面R5朝向成像側。該第四鏡片L4為一具有負屈光力之雙凹透鏡。該第五鏡片L5為一具有正屈光力之單凸透鏡,且其凸面R9朝向成像側。The first mirror group G1 has a negative refractive power, and includes a first lens L1, a second lens L2, a third lens L3, a fourth lens L4, and a fifth lens L5. The first lens L1 is a crescent lens having a negative refractive power, and the convex surface R1 faces the imaging side. The second lens L2 is a lenticular lens having a positive refractive power. The third lens L3 is a crescent lens having a negative refractive power, and its convex surface R5 faces the imaging side. The fourth lens L4 is a biconcave lens having a negative refractive power. The fifth lens L5 is a single convex lens having a positive refractive power, and its convex surface R9 faces the imaging side.

該第二鏡群G2具有正屈光力,且包含有一第六鏡片L6、一第七鏡片L7、一第八鏡片L8、一第九鏡片L9、一第十鏡片L10、一第十一鏡片L11以及一第十二鏡片L12。該第六鏡片L6為一具有正屈光力之雙凸透鏡。該第七鏡片L7為一具有正屈光力之新月型透鏡,且其凸面R13朝向成像側。該第八鏡片L8為一具有負屈光力之單凹透鏡,且其凹面R15朝向成像側。該第九鏡片L9為一具有負屈光力之新月型透鏡,且其凹面R17朝向成像側。該第十鏡片L10為一具有正屈光力之雙凸透鏡,且該變焦投影鏡頭2之光圈ST設於該第十鏡片L10之表面R19上。該第十一鏡片L11為一具負屈光力雙凹透鏡。該第十二鏡片L12為一具有正屈光力之雙凸透鏡,且其表面R23、R24皆為非球面表面。The second mirror group G2 has a positive refractive power, and includes a sixth lens L6, a seventh lens L7, an eighth lens L8, a ninth lens L9, a tenth lens L10, an eleventh lens L11, and a Twelfth lens L12. The sixth lens L6 is a lenticular lens having a positive refractive power. The seventh lens L7 is a crescent lens having a positive refractive power, and its convex surface R13 faces the image forming side. The eighth lens L8 is a single concave lens having a negative refractive power, and its concave surface R15 faces the image forming side. The ninth lens L9 is a crescent lens having a negative refractive power, and its concave surface R17 faces the image forming side. The tenth lens L10 is a lenticular lens having a positive refractive power, and the aperture ST of the zoom projection lens 2 is disposed on the surface R19 of the tenth lens L10. The eleventh lens L11 is a negative refractive power biconcave lens. The twelfth lens L12 is a lenticular lens having positive refractive power, and the surfaces R23 and R24 thereof are all aspherical surfaces.

為能使該變焦投影鏡頭2能有效地縮減鏡頭總長、修正像差及增加後焦長度,該變焦投影鏡頭2滿足下列條件:In order to enable the zoom projection lens 2 to effectively reduce the total length of the lens, correct the aberration, and increase the back focus length, the zoom projection lens 2 satisfies the following conditions:

(1) -0.87<f2/f1<-0.76 (2) -2.09<f1/fw<-1.85(1) -0.87<f2/f1<-0.76 (2) -2.09<f1/fw<-1.85

(3) 1.59<f2/fw<1.64 (4) 0.70<fw/bf<0.71(3) 1.59<f2/fw<1.64 (4) 0.70<fw/bf<0.71

(5) 6.66<tt/fw<6.7 (6) 4.7<tt/bf<4.74(5) 6.66<tt/fw<6.7 (6) 4.7<tt/bf<4.74

(7) -1.31<ex/bf<-1.24 (8) 0.787<lt/tt<0.789(7) -1.31<ex/bf<-1.24 (8) 0.787<lt/tt<0.789

(9) 1.31<fg/fw<2.2(9) 1.31<fg/fw<2.2

其中,f1為該第一鏡群G1之有效焦距;f2為該第二鏡群G2之有效焦距;fw為該變焦投影鏡頭2於廣角(wide-angle)狀態下之有效焦距;bf為該變焦投影鏡頭2之後焦長度;tt為該變焦投影鏡頭2之總長度;ex為該變焦投影鏡頭2之出瞳位置(exit pupil position);lt為該變焦投影鏡頭2之第一個表面R1至最後一個表面R26間之長度;fg為該第十二鏡片L12之有效焦距。Where f1 is the effective focal length of the first mirror group G1; f2 is the effective focal length of the second mirror group G2; fw is the effective focal length of the zoom projection lens 2 in the wide-angle state; bf is the zoom The focal length of the projection lens 2; tt is the total length of the zoom projection lens 2; ex is the exit pupil position of the zoom projection lens 2; lt is the first surface R1 to the last of the zoom projection lens 2 The length between one surface R26; fg is the effective focal length of the twelfth lens L12.

本發明第二實施例之變焦投影鏡頭2的焦距F(Focus Length)、數值孔徑FNO(F-number)、各個鏡片表面的光軸Z通過處的曲率半徑R(radius of curvature)、各鏡片於光軸Z上之厚度T(thickness)、各鏡片之折射率Nd(refractive index)及各鏡片之阿貝係數Vd(Abbe number),如表三所示:The focal length F (Focus Length) of the zoom projection lens 2 of the second embodiment of the present invention, the numerical aperture FNO (F-number), the radius of curvature R of the optical axis Z of each lens surface, and the respective lenses are The thickness T on the optical axis Z, the refractive index Nd (refractive index) of each lens, and the Abbe number of each lens are shown in Table 3:

表三之厚度T中,(W)是指該變焦投影鏡頭2在廣角(wide-angle)狀態時,於光軸Z上之間距;(M)是指該變焦投影鏡頭2在中間(middle)狀態時,於光軸Z上之間距;(T)是指該變焦投影鏡頭2在長距投影(telephoto)狀態時,於光軸Z上之間距。In the thickness T of Table 3, (W) refers to the distance between the zoom projection lens 2 on the optical axis Z in the wide-angle state; (M) means that the zoom projection lens 2 is in the middle (middle) In the state, the distance between the optical axes Z; (T) refers to the distance between the zoom projection lens 2 on the optical axis Z in the telephoto state.

另外,本實施例之第十二鏡片L12之非球面表面R23、R24之表面凹陷度D由下列公式所得到:In addition, the surface depression degree D of the aspherical surfaces R23 and R24 of the twelfth lens L12 of the present embodiment is obtained by the following formula:

其中:D:非球面表面之凹陷度;C:曲率半徑之倒數;H:表面之孔徑半徑;K:圓錐係數;E4 ~E14 :表面之孔徑半徑H的各階係數。Where: D: the degree of depression of the aspheric surface; C: the reciprocal of the radius of curvature; H: the aperture radius of the surface; K: the conic coefficient; E 4 ~ E 14 : the order factor of the aperture radius H of the surface.

在本實施例中,各個非球面表面的圓錐係數K(conic constant)及表面孔徑半徑H的各階係數E4 ~E14 如表四所示:In the present embodiment, the conic coefficients of the respective aspherical surfaces and the order coefficients E 4 to E 14 of the surface aperture radius H are as shown in Table 4:

藉由上述的鏡片與光圈之配置,使得本實施例之變焦投影鏡頭2不但可有效縮小體積以滿足輕量化之需求,該變焦投影鏡頭2在廣角(wide-angle)狀態時,其成像品質上也可達到要求,這可從圖6A至圖6D看出。圖6A所示的,是本實施例之變焦投影鏡頭2的縱向色差圖;圖6B所示的,是本實施例之變焦投影鏡頭2的橫向色差圖;圖6C所示的,是本實施例之變焦投影鏡頭2的場曲圖及畸變圖;圖6D所示的,是本實施例之變焦投影鏡頭2的空間頻率調制傳遞函數圖(Spatial Frequency MTF)。從圖6A及圖6B可看出,本實施例變焦投影鏡頭2之縱向色差最大不超過0.08mm和-0.04mm,橫向色差最大不超過7μm和-1μm。從圖6C可看出,本實施例變焦投影鏡頭2之最大場曲不超過0.16mm與-0.04mm,且畸變量不超過2%。從圖6D可看出,本實施例變焦投影鏡頭2在60 lp/mm的時候,其調制光學傳遞函數值仍維持在40%以上。With the above arrangement of the lens and the aperture, the zoom projection lens 2 of the present embodiment can effectively reduce the volume to meet the demand for light weight, and the zoom projection lens 2 has an image quality in a wide-angle state. The requirements can also be met, as can be seen from Figures 6A to 6D. FIG. 6A is a longitudinal chromatic aberration diagram of the zoom projection lens 2 of the present embodiment; FIG. 6B is a lateral chromatic aberration diagram of the zoom projection lens 2 of the present embodiment; and FIG. 6C is the embodiment. The field curvature map and the distortion map of the zoom projection lens 2; FIG. 6D shows the spatial frequency modulation transfer function map (Spatial Frequency MTF) of the zoom projection lens 2 of the present embodiment. As can be seen from FIG. 6A and FIG. 6B, the longitudinal chromatic aberration of the zoom projection lens 2 of the present embodiment does not exceed 0.08 mm and -0.04 mm at the maximum, and the lateral chromatic aberration does not exceed 7 μm and -1 μm at the maximum. As can be seen from FIG. 6C, the maximum field curvature of the zoom projection lens 2 of the present embodiment does not exceed 0.16 mm and -0.04 mm, and the distortion variable does not exceed 2%. As can be seen from FIG. 6D, when the zoom projection lens 2 of the present embodiment is at 60 lp/mm, the modulation optical transfer function value is maintained at 40% or more.

另外,該變焦投影鏡頭2在中間(middle)狀態時,其成像品質上也可達到要求,這可從圖7A至圖7D看出。從圖7A及圖7B可看出,本實施例變焦投影鏡頭2之縱向色差最大不超過0.08mm和-0.03mm,橫向色差最大不超過4μm和-1μm。從圖7C可看出,本實施例變焦投影鏡頭2之最大場曲不超過0.12mm與-0.04mm,且畸變量不超過1.6%。從圖7D可看出,本實施例變焦投影鏡頭2在60 lp/mm的時候,其調制光學傳遞函數值仍維持在50%以上。In addition, when the zoom projection lens 2 is in the middle state, its image quality can also be achieved, which can be seen from FIGS. 7A to 7D. As can be seen from FIGS. 7A and 7B, the longitudinal chromatic aberration of the zoom projection lens 2 of the present embodiment does not exceed 0.08 mm and -0.03 mm at the maximum, and the lateral chromatic aberration does not exceed 4 μm and -1 μm at the maximum. As can be seen from FIG. 7C, the maximum field curvature of the zoom projection lens 2 of the present embodiment does not exceed 0.12 mm and -0.04 mm, and the distortion variable does not exceed 1.6%. As can be seen from FIG. 7D, when the zoom projection lens 2 of the present embodiment is at 60 lp/mm, the modulation optical transfer function value is maintained at 50% or more.

再者,該變焦投影鏡頭2在長距投影(telephoto)狀態時,其成像品質上也可達到要求,這可從圖8A至圖8D看出。從圖8A及圖8B可看出,本實施例變焦投影鏡頭2之縱向色差最大不超過0.12mm和-0.05mm,橫向色差最大不超過5μm和-3μm。從圖8C可看出,本實施例變焦投影鏡頭2之最大場曲不超過0.16mm與-0.12mm,且畸變量不超過0.4%。從圖8D可看出,本實施例變焦投影鏡頭2在60 lp/mm的時候,其調制光學傳遞函數值仍維持在40%以上。藉此,顯見本實施例之變焦投影鏡頭2的解析度不管是在是廣角(wide-angle)狀態、中間(middle)狀態或是長距投影(telephoto)狀態時,都是符合標準的。Furthermore, the zoom projection lens 2 can also meet the imaging quality in the telephoto state, which can be seen from FIG. 8A to FIG. 8D. As can be seen from FIGS. 8A and 8B, the longitudinal chromatic aberration of the zoom projection lens 2 of the present embodiment does not exceed 0.12 mm and -0.05 mm at the maximum, and the lateral chromatic aberration does not exceed 5 μm and -3 μm at the maximum. As can be seen from FIG. 8C, the maximum field curvature of the zoom projection lens 2 of the present embodiment does not exceed 0.16 mm and -0.12 mm, and the distortion variable does not exceed 0.4%. As can be seen from FIG. 8D, when the zoom projection lens 2 of the present embodiment is at 60 lp/mm, the modulation optical transfer function value is maintained at 40% or more. Thereby, it is apparent that the resolution of the zoom projection lens 2 of the present embodiment conforms to the standard regardless of whether it is a wide-angle state, a middle state, or a telephoto state.

請參閱圖9,為本發明第三較佳實施例變焦投影鏡頭3之鏡片配置圖,其包含有沿光軸Z且由成像側至像源側依序排列設置且由玻璃製成之一第一鏡群G1與一第二鏡群G2。該第一鏡群G1可於成像側與該第二鏡群G2間,沿光軸Z進行移動,以改變鏡頭焦距,使該變焦投影鏡頭3可依該第一鏡群G1之位置區分為廣角(wide-angle)狀態、中間(middle)狀態與遠距投影(telephoto)狀態。另外,在該第二鏡群G2與像源側間同樣設有一玻璃覆蓋CG(Cover Glass)。其中:Please refer to FIG. 9 , which is a lens configuration diagram of a zoom projection lens 3 according to a third preferred embodiment of the present invention, which includes a film along the optical axis Z and arranged in an order from the imaging side to the image source side and made of glass. A mirror group G1 and a second mirror group G2. The first mirror group G1 can be moved along the optical axis Z between the imaging side and the second mirror group G2 to change the focal length of the lens, so that the zoom projection lens 3 can be divided into wide angles according to the position of the first mirror group G1. (wide-angle) state, middle state, and telephoto state. Further, a glass cover CG (Cover Glass) is provided between the second mirror group G2 and the image source side. among them:

該第一鏡群G1具有負屈光力,其包含有一第一鏡片L1、一第二鏡片L2、一第三鏡片L3、一第四鏡片L4以及一第五鏡片L5。該第一鏡片L1為一具有負屈光力之新月型鏡片,其凸面R1朝向成像側。該第二鏡片L2為一具有正屈光力之雙凸透鏡。該第三鏡片L3為一具有負屈光力之新月型透鏡,且其凸面R5朝向成像側。該第四鏡片L4為一具有負屈光力之雙凹透鏡。該第五鏡片L5為一具有正屈光力之新月型透鏡,且其凸面R9朝向成像側。The first mirror group G1 has a negative refractive power, and includes a first lens L1, a second lens L2, a third lens L3, a fourth lens L4, and a fifth lens L5. The first lens L1 is a crescent lens having a negative refractive power, and the convex surface R1 faces the imaging side. The second lens L2 is a lenticular lens having a positive refractive power. The third lens L3 is a crescent lens having a negative refractive power, and its convex surface R5 faces the imaging side. The fourth lens L4 is a biconcave lens having a negative refractive power. The fifth lens L5 is a crescent lens having a positive refractive power, and its convex surface R9 faces the image forming side.

該第二鏡群G2具有正屈光力,且包含有一第六鏡片L6、一第七鏡片L7、一第八鏡片L8、一第九鏡片L9、一第十鏡片L10、一第十一鏡片L11以及一第十二鏡片L12。該第六鏡片L6為一具有正屈光力之雙凸透鏡。該第七鏡片L7為一具有正屈光力之新月型透鏡,且其凸面R13朝向成像側。該第八鏡片L8為一具有負屈光力之新月型透鏡,且其凸面R15朝向成像側。該第九鏡片L9為一具有負屈光力之膠合透鏡,係由一雙凸透鏡L91與一雙凹透鏡L92膠合而成,且該雙凸透鏡L91較該雙凹透鏡L92接近成像側。該第十鏡片L10為一具有正屈光力之雙凸透鏡,且該變焦投影鏡頭3之光圈ST設置於該第十鏡片L10之表面R20上。該第十一鏡片L11為一具有負屈光力之雙凹透鏡。該第十二鏡片L12為一具有正屈光力之單凸透鏡,其凸面R24朝向成像側且為非球面表面。The second mirror group G2 has a positive refractive power, and includes a sixth lens L6, a seventh lens L7, an eighth lens L8, a ninth lens L9, a tenth lens L10, an eleventh lens L11, and a Twelfth lens L12. The sixth lens L6 is a lenticular lens having a positive refractive power. The seventh lens L7 is a crescent lens having a positive refractive power, and its convex surface R13 faces the image forming side. The eighth lens L8 is a crescent lens having a negative refractive power, and its convex surface R15 faces the image forming side. The ninth lens L9 is a cemented lens having a negative refractive power, which is formed by gluing a lenticular lens L91 and a double concave lens L92, and the lenticular lens L91 is closer to the imaging side than the biconcave lens L92. The tenth lens L10 is a lenticular lens having a positive refractive power, and the aperture ST of the zoom projection lens 3 is disposed on the surface R20 of the tenth lens L10. The eleventh lens L11 is a biconcave lens having a negative refractive power. The twelfth lens L12 is a single convex lens having a positive refractive power, and the convex surface R24 faces the image forming side and is an aspherical surface.

為能使該變焦投影鏡頭3能有效地縮減鏡頭總長、修正像差及增加後焦長度,該變焦投影鏡頭3滿足下列條件:In order to enable the zoom projection lens 3 to effectively reduce the total length of the lens, correct the aberration, and increase the back focus length, the zoom projection lens 3 satisfies the following conditions:

(1) -0.87<f2/f1<-0.76 (2) -2.09<f1/fw<-1.85(1) -0.87<f2/f1<-0.76 (2) -2.09<f1/fw<-1.85

(3) 1.59<f2/fw<1.64 (4) 0.70<fw/bf<0.71(3) 1.59<f2/fw<1.64 (4) 0.70<fw/bf<0.71

(5) 6.66<tt/fw<6.7 (6) 4.7<tt/bf<4.74(5) 6.66<tt/fw<6.7 (6) 4.7<tt/bf<4.74

(7) -1.31<ex/bf<-1.24 (8) 0.787<lt/tt<0.789(7) -1.31<ex/bf<-1.24 (8) 0.787<lt/tt<0.789

(9) 1.31<fg/fw<2.2(9) 1.31<fg/fw<2.2

其中,f1為該第一鏡群G1之有效焦距;f2為該第二鏡群G2之有效焦距;fw為該變焦投影鏡頭3於廣角(wide-angle)狀態下之有效焦距;bf為該變焦投影鏡頭3之後焦長度;tt為該變焦投影鏡頭3之總長度;ex為該變焦投影鏡頭3之出瞳位置(exit pupil position);lt為該變焦投影鏡頭3之第一個表面R1至最後一個表面R27間之長度;fg為該第十二鏡片L12之有效焦距。Where f1 is the effective focal length of the first mirror group G1; f2 is the effective focal length of the second mirror group G2; fw is the effective focal length of the zoom projection lens 3 in the wide-angle state; bf is the zoom The focal length of the projection lens 3; tt is the total length of the zoom projection lens 3; ex is the exit pupil position of the zoom projection lens 3; lt is the first surface R1 to the last of the zoom projection lens 3. The length between one surface R27; fg is the effective focal length of the twelfth lens L12.

本發明第三實施例之變焦投影鏡頭3的焦距F(Focus Length)、數值孔徑FNO(F-number)、各個鏡片表面的光軸Z通過處的曲率半徑R(radius of curvature)、各鏡片於光軸Z上之厚度T(thickness)、各鏡片之折射率Nd(refractive index)及各鏡片之阿貝係數Vd(Abbe number),如表五所示:The focal length F (Focus Length) of the zoom projection lens 3 of the third embodiment of the present invention, the numerical aperture FNO (F-number), the radius of curvature R of the optical axis Z of each lens surface, and the respective lenses are The thickness T on the optical axis Z, the refractive index Nd (refractive index) of each lens, and the Abbe number of each lens are shown in Table 5:

表五之厚度T中,(W)是指該變焦投影鏡頭3在廣角(wide-angle)狀態時,於光軸Z上之間距;(M)是指該變焦投影鏡頭3在中間(middle)狀態時,於光軸Z上之間距;(T)是指該變焦投影鏡頭3在長距投影(telephoto)狀態時,於光軸Z上之間距。In the thickness T of Table 5, (W) refers to the distance between the zoom projection lens 3 on the optical axis Z in the wide-angle state; (M) means that the zoom projection lens 3 is in the middle (middle) In the state, the distance between the optical axes Z; (T) refers to the distance between the zoom projection lens 3 on the optical axis Z in the telephoto state.

另外,本實施例之第十二鏡片L12之非球面表面R24之表面凹陷度D由下列公式所得到:In addition, the surface depression D of the aspherical surface R24 of the twelfth lens L12 of the present embodiment is obtained by the following formula:

其中:D:非球面表面之凹陷度;C:曲率半徑之倒數;H:表面之孔徑半徑;K:圓錐係數;E4 ~E14 :表面之孔徑半徑H的各階係數。Where: D: the degree of depression of the aspheric surface; C: the reciprocal of the radius of curvature; H: the aperture radius of the surface; K: the conic coefficient; E 4 ~ E 14 : the order factor of the aperture radius H of the surface.

在本實施例中,各個非球面表面的圓錐係數K(conic constant)及表面孔徑半徑H的各階係數E4 ~E14 如表六所示:In this embodiment, the conic coefficients of the respective aspherical surfaces and the order coefficients E 4 to E 14 of the surface aperture radius H are as shown in Table 6:

藉由上述的鏡片與光圈之配置,使得本實施例之變焦投影鏡頭3不但可有效縮小體積以滿足輕量化之需求,該變焦投影鏡頭3在廣角(wide-angle)狀態時,其成像品質上也可達到要求,這可從圖10A至圖10D看出。圖10A所示的,是本實施例之變焦投影鏡頭3的縱向色差圖;圖10B所示的,是本實施例之變焦投影鏡頭3的橫向色差圖;圖10C所示的,是本實施例之變焦投影鏡頭3的場曲圖及畸變圖;圖10D所示的,是本實施例之變焦投影鏡頭3的空間頻率調制傳遞函數圖(Spatial Frequency MTF)。從圖10A及圖10B可看出,本實施例變焦投影鏡頭3之縱向色差最大不超過0.09mm和-0.04mm,橫向色差最大不超過6μm和-2μm。從圖10C可看出,本實施例變焦投影鏡頭3之最大場曲不超過0.12mm與-0.08mm,且畸變量不超過2%。從圖10D可看出,本實施例變焦投影鏡頭3在60 lp/mm的時候,其調制光學傳遞函數值仍維持在40%以上。With the above arrangement of the lens and the aperture, the zoom projection lens 3 of the present embodiment can effectively reduce the volume to meet the demand for light weight, and the zoom projection lens 3 has an image quality in a wide-angle state. A requirement can also be met, as can be seen from Figures 10A to 10D. FIG. 10A is a longitudinal chromatic aberration diagram of the zoom projection lens 3 of the present embodiment; FIG. 10B is a lateral chromatic aberration diagram of the zoom projection lens 3 of the present embodiment; and FIG. 10C is the embodiment. The field curvature map and the distortion map of the zoom projection lens 3; FIG. 10D shows the spatial frequency modulation transfer function map (Spatial Frequency MTF) of the zoom projection lens 3 of the present embodiment. As can be seen from FIGS. 10A and 10B, the longitudinal chromatic aberration of the zoom projection lens 3 of the present embodiment does not exceed 0.09 mm and -0.04 mm at the maximum, and the lateral chromatic aberration does not exceed 6 μm and -2 μm at the maximum. As can be seen from FIG. 10C, the maximum field curvature of the zoom projection lens 3 of the present embodiment does not exceed 0.12 mm and -0.08 mm, and the distortion variable does not exceed 2%. As can be seen from FIG. 10D, when the zoom projection lens 3 of the present embodiment is at 60 lp/mm, the modulation optical transfer function value is maintained at 40% or more.

另外,該變焦投影鏡頭3在中間(middle)狀態時,其成像品質上也可達到要求,這可從圖11A至圖11D看出。從圖11A及圖11B可看出,本實施例變焦投影鏡頭3之縱向色差最大不超過0.08mm和-0.02mm,橫向色差最大不超過2μm和-1μm。從圖11C可看出,本實施例變焦投影鏡頭3之最大場曲不超過0.10mm與-0.08mm,且畸變量不超過1.2%。從圖11D可看出,本實施例變焦投影鏡頭3在60 lp/mm的時候,其調制光學傳遞函數值仍維持在50%以上。In addition, when the zoom projection lens 3 is in the middle state, its image quality can also be achieved, which can be seen from FIG. 11A to FIG. 11D. As can be seen from FIGS. 11A and 11B, the longitudinal chromatic aberration of the zoom projection lens 3 of the present embodiment does not exceed 0.08 mm and -0.02 mm at the maximum, and the lateral chromatic aberration does not exceed 2 μm and -1 μm at the maximum. As can be seen from FIG. 11C, the maximum field curvature of the zoom projection lens 3 of the present embodiment does not exceed 0.10 mm and -0.08 mm, and the distortion variable does not exceed 1.2%. As can be seen from FIG. 11D, when the zoom projection lens 3 of the present embodiment is at 60 lp/mm, the modulation optical transfer function value is maintained at 50% or more.

再者,該變焦投影鏡頭3在長距投影(telephoto)狀態時,其成像品質上也可達到要求,這可從圖12A至圖12D看出。從圖12A及圖12B可看出,本實施例變焦投影鏡頭3之縱向色差最大不超過0.07mm和-0.06mm,橫向色差最大不超過2μm和-2μm。從圖12C可看出,本實施例變焦投影鏡頭3之最大場曲不超過0.04mm與-0.16mm,且畸變量不超過0.4%。從圖12D可看出,本實施例變焦投影鏡頭3在60 lp/mm的時候,其調制光學傳遞函數值仍維持在40%以上。藉此,顯見本實施例之變焦投影鏡頭3的解析度不管是在是廣角(wide-angle)狀態、中間(middle)狀態或是長距投影(telephoto)狀態時,都是符合標準的。Furthermore, the zoom projection lens 3 can also meet the imaging quality in the telephoto state, which can be seen from FIG. 12A to FIG. 12D. As can be seen from FIGS. 12A and 12B, the longitudinal chromatic aberration of the zoom projection lens 3 of the present embodiment does not exceed 0.07 mm and -0.06 mm at the maximum, and the lateral chromatic aberration does not exceed 2 μm and -2 μm at the maximum. As can be seen from FIG. 12C, the maximum field curvature of the zoom projection lens 3 of the present embodiment does not exceed 0.04 mm and -0.16 mm, and the distortion variable does not exceed 0.4%. As can be seen from FIG. 12D, when the zoom projection lens 3 of the present embodiment is at 60 lp/mm, the modulation optical transfer function value is maintained at 40% or more. Thereby, it is apparent that the resolution of the zoom projection lens 3 of the present embodiment conforms to the standard regardless of whether it is a wide-angle state, a middle state, or a telephoto state.

請參閱圖13,為本發明第四較佳實施例變焦投影鏡頭4之鏡片配置圖,其包含有由玻璃製成且沿光軸Z且由成像側至像源側依序排列設置之一第一鏡群G1與一第二鏡群G2。該第一鏡群G1可於成像側與該第二鏡群G2間,沿光軸Z進行移動,以改變鏡頭焦距,使該變焦投影鏡頭4可依該第一鏡群G1之位置區分為廣角(wide-angle)狀態、中間(middle)狀態與遠距投影(telephoto)狀態。另外,在該第二鏡群G2與像源側間同樣設有一玻璃覆蓋CG(Cover Glass)。其中:Please refer to FIG. 13 , which is a lens configuration diagram of a zoom projection lens 4 according to a fourth preferred embodiment of the present invention, which includes a glass made of glass and arranged along the optical axis Z and sequentially arranged from the imaging side to the image source side. A mirror group G1 and a second mirror group G2. The first mirror group G1 can be moved along the optical axis Z between the imaging side and the second mirror group G2 to change the focal length of the lens, so that the zoom projection lens 4 can be divided into wide angles according to the position of the first mirror group G1. (wide-angle) state, middle state, and telephoto state. Further, a glass cover CG (Cover Glass) is provided between the second mirror group G2 and the image source side. among them:

該第一鏡群G1具有負屈光力,其包含有一第一鏡片L1、一第二鏡片L2、一第三鏡片L3、一第四鏡片L4、一第五鏡片L5以及一第六鏡片L6。該第一鏡片L1為一具有負屈光力之新月型鏡片,其凸面R1朝向成像側。該第二鏡片L2為一具有正屈光力之雙凸透鏡。該第三鏡片L3為一具有負屈光力之新月型透鏡,且其凸面R5朝向成像側。該第四鏡片L4為一具有負屈光力之雙凹透鏡。該第五鏡片L5為一具有正屈光力之雙凸透鏡。該第六鏡片L6為一具有負屈光力之新月型透鏡,且其凹面R11朝向成像側。The first mirror group G1 has a negative refractive power, and includes a first lens L1, a second lens L2, a third lens L3, a fourth lens L4, a fifth lens L5, and a sixth lens L6. The first lens L1 is a crescent lens having a negative refractive power, and the convex surface R1 faces the imaging side. The second lens L2 is a lenticular lens having a positive refractive power. The third lens L3 is a crescent lens having a negative refractive power, and its convex surface R5 faces the imaging side. The fourth lens L4 is a biconcave lens having a negative refractive power. The fifth lens L5 is a lenticular lens having a positive refractive power. The sixth lens L6 is a crescent lens having a negative refractive power, and its concave surface R11 faces the image forming side.

該第二鏡群G2具有正屈光力,且包含有一第七鏡片L7、一第八鏡片L8、一第九鏡片L9、一第十鏡片L10、一第十一鏡片L11以及一第十二鏡片L12。該第七鏡片L7為一具有正屈光力之雙凸透鏡。該第八鏡片L8為一具有負屈光力之雙凹透鏡。該第九鏡片L9為一具有正屈光力之單凸透鏡,且其凸面R17朝向成像側。該第十鏡片L10為一具有正屈光力之新月型透鏡,且其凸面R20朝向成像側。該第十一鏡片L11為一具有負屈光力之雙凹透鏡。該第十二鏡片L12為一具有正屈光力之雙凸透鏡,且其表面R24、R25皆為非球面表面。另外,該變焦投影鏡頭4之光圈ST係設置於該第九鏡片L9與該第十鏡片L10之間。The second mirror group G2 has a positive refractive power and includes a seventh lens L7, an eighth lens L8, a ninth lens L9, a tenth lens L10, an eleventh lens L11 and a twelfth lens L12. The seventh lens L7 is a lenticular lens having a positive refractive power. The eighth lens L8 is a biconcave lens having a negative refractive power. The ninth lens L9 is a single convex lens having a positive refractive power, and its convex surface R17 faces the image forming side. The tenth lens L10 is a crescent lens having a positive refractive power, and its convex surface R20 faces the image forming side. The eleventh lens L11 is a biconcave lens having a negative refractive power. The twelfth lens L12 is a lenticular lens having positive refractive power, and the surfaces R24 and R25 thereof are all aspherical surfaces. In addition, the aperture ST of the zoom projection lens 4 is disposed between the ninth lens L9 and the tenth lens L10.

為能使該變焦投影鏡頭4能有效地縮減鏡頭總長、修正像差及增加後焦長度,該變焦投影鏡頭4滿足下列條件:In order to enable the zoom projection lens 4 to effectively reduce the total length of the lens, correct the aberration, and increase the back focus length, the zoom projection lens 4 satisfies the following conditions:

(1) -0.87<f2/f1<-0.76 (2) -2.09<f1/fw<-1.85(1) -0.87<f2/f1<-0.76 (2) -2.09<f1/fw<-1.85

(3) 1.59<f2/fw<1.64 (4) 0.70<fw/bf<0.71(3) 1.59<f2/fw<1.64 (4) 0.70<fw/bf<0.71

(5) 6.66<tt/fw<6.7 (6) 4.7<tt/bf<4.74(5) 6.66<tt/fw<6.7 (6) 4.7<tt/bf<4.74

(7) -1.31<ex/bf<-1.24 (8) 0.787<lt/tt<0.789(7) -1.31<ex/bf<-1.24 (8) 0.787<lt/tt<0.789

(9) 1.31<fg/fw<2.2(9) 1.31<fg/fw<2.2

其中,f1為該第一鏡群G1之有效焦距;f2為該第二鏡群G2之有效焦距;fw為該變焦投影鏡頭4於廣角(wide-angle)狀態下之有效焦距;bf為該變焦投影鏡頭4之後焦長度;tt為該變焦投影鏡頭4之總長度;ex為該變焦投影鏡頭4之出瞳位置(exit pupil position);lt為該變焦投影鏡頭4之第一個表面R1至最後一個表面R27間之長度;fg為該第十二鏡片L12之有效焦距。Where f1 is the effective focal length of the first mirror group G1; f2 is the effective focal length of the second mirror group G2; fw is the effective focal length of the zoom projection lens 4 in the wide-angle state; bf is the zoom The focal length of the projection lens 4; tt is the total length of the zoom projection lens 4; ex is the exit pupil position of the zoom projection lens 4; lt is the first surface R1 to the last of the zoom projection lens 4. The length between one surface R27; fg is the effective focal length of the twelfth lens L12.

本發明第四實施例之變焦投影鏡頭4的焦距F(Focus Length)、數值孔徑FNO(F-number)、各個鏡片表面的光軸Z通過處的曲率半徑R(radius of curvature)、各鏡片於光軸Z上之厚度T(thickness)、各鏡片之折射率Nd(refractive index)及各鏡片之阿貝係數Vd(Abbe number),如表七所示:The focal length F (Focus Length), the numerical aperture FNO (F-number) of the zoom projection lens 4 of the fourth embodiment of the present invention, and the radius of curvature R of the optical axis Z of each lens surface, and the respective lenses are The thickness T on the optical axis Z, the refractive index Nd (refractive index) of each lens, and the Abbe number of each lens are shown in Table 7:

表七之厚度T中,(W)是指該變焦投影鏡頭4在廣角(wide-angle)狀態時,於光軸Z上之間距;(M)是指該變焦投影鏡頭4在中間(middle)狀態時,於光軸Z上之間距;(T)是指該變焦投影鏡頭4在長距投影(telephoto)狀態時,於光軸Z上之間距。In the thickness T of Table 7, (W) refers to the distance between the zoom projection lens 4 on the optical axis Z in the wide-angle state; (M) means that the zoom projection lens 4 is in the middle (middle) In the state, the distance between the optical axes Z; (T) refers to the distance between the zoom projection lens 4 on the optical axis Z in the telephoto state.

另外,本實施例之第十二鏡片L12之非球面表面R24、R25之表面凹陷度D由下列公式所得到:In addition, the surface depression degree D of the aspherical surfaces R24 and R25 of the twelfth lens L12 of the present embodiment is obtained by the following formula:

其中:D:非球面表面之凹陷度;C:曲率半徑之倒數;H:表面之孔徑半徑;K:圓錐係數;E4 ~E14 :表面之孔徑半徑H的各階係數。Where: D: the degree of depression of the aspheric surface; C: the reciprocal of the radius of curvature; H: the aperture radius of the surface; K: the conic coefficient; E 4 ~ E 14 : the order factor of the aperture radius H of the surface.

在本實施例中,各個非球面表面的圓錐係數K(conic constant)及表面孔徑半徑H的各階係數E4 ~E14 如表八所示:In the present embodiment, the conic coefficients of the respective aspherical surfaces and the order coefficients E 4 to E 14 of the surface aperture radius H are as shown in Table 8:

藉由上述的鏡片與光圈之配置,使得本實施例之變焦投影鏡頭4不但可有效縮小體積以滿足輕量化之需求,該變焦投影鏡頭4在廣角(wide-angle)狀態時,其成像品質上也可達到要求,這可從圖14A至圖14D看出。圖14A所示的,是本實施例之變焦投影鏡頭4的縱向色差圖;圖14B所示的,是本實施例之變焦投影鏡頭4的橫向色差圖;圖14C所示的,是本實施例之變焦投影鏡頭4的場曲圖及畸變圖;圖14D所示的,是本實施例之變焦投影鏡頭4的空間頻率調制傳遞函數圖(Spatial Frequency MTF)。從圖14A及圖14B可看出,本實施例變焦投影鏡頭4之縱向色差最大不超過0.08mm和-0.02mm,橫向色差最大不超過2μm和-1μm。從圖14C可看出,本實施例變焦投影鏡頭4之最大場曲不超過0.10mm與-0.08mm,且畸變量不超過1.2%。從圖14D可看出,本實施例變焦投影鏡頭4在60 lp/mm的時候,其調制光學傳遞函數值仍維持在50%以上。The zoom projection lens 4 of the present embodiment can effectively reduce the volume to meet the demand for light weight by the above-described configuration of the lens and the aperture. The zoom projection lens 4 has an image quality in a wide-angle state. A requirement can also be met, as can be seen from Figures 14A to 14D. FIG. 14A is a longitudinal chromatic aberration diagram of the zoom projection lens 4 of the present embodiment; FIG. 14B is a lateral chromatic aberration diagram of the zoom projection lens 4 of the present embodiment; and FIG. 14C is the embodiment. The field curvature map and the distortion map of the zoom projection lens 4; FIG. 14D shows the spatial frequency modulation transfer function map (Spatial Frequency MTF) of the zoom projection lens 4 of the present embodiment. As can be seen from FIGS. 14A and 14B, the longitudinal chromatic aberration of the zoom projection lens 4 of the present embodiment does not exceed 0.08 mm and -0.02 mm at the maximum, and the lateral chromatic aberration does not exceed 2 μm and -1 μm at the maximum. As can be seen from FIG. 14C, the maximum field curvature of the zoom projection lens 4 of the present embodiment does not exceed 0.10 mm and -0.08 mm, and the distortion variable does not exceed 1.2%. As can be seen from FIG. 14D, when the zoom projection lens 4 of the present embodiment is at 60 lp/mm, the modulation optical transfer function value is maintained at 50% or more.

另外,該變焦投影鏡頭4在中間(middle)狀態時,其成像品質上也可達到要求,這可從圖15A至圖15D看出。從圖15A及圖15B可看出,本實施例變焦投影鏡頭4之縱向色差最大不超過0.07mm和-0.06mm,橫向色差最大不超過2μm和-2μm。從圖15C可看出,本實施例變焦投影鏡頭4之最大場曲不超過0.04mm與-0.16mm,且畸變量不超過0.4%。從圖15D可看出,本實施例變焦投影鏡頭4在60 lp/mm的時候,其調制光學傳遞函數值仍維持在40%以上。In addition, when the zoom projection lens 4 is in the middle state, its imaging quality can also be achieved, which can be seen from FIGS. 15A to 15D. As can be seen from FIGS. 15A and 15B, the longitudinal chromatic aberration of the zoom projection lens 4 of the present embodiment does not exceed 0.07 mm and -0.06 mm at the maximum, and the lateral chromatic aberration does not exceed 2 μm and -2 μm at the maximum. As can be seen from FIG. 15C, the maximum field curvature of the zoom projection lens 4 of the present embodiment does not exceed 0.04 mm and -0.16 mm, and the distortion variable does not exceed 0.4%. As can be seen from FIG. 15D, when the zoom projection lens 4 of the present embodiment is at 60 lp/mm, the modulation optical transfer function value is maintained at 40% or more.

再者,該變焦投影鏡頭4在長距投影(telephoto)狀態時,其成像品質上也可達到要求,這可從圖16A至圖16D看出。從圖16A及圖16B可看出,本實施例變焦投影鏡頭4之縱向色差最大不超過0.08mm和-0.03mm,橫向色差最大不超過4μm和-2μm。從圖16C可看出,本實施例變焦投影鏡頭4之最大場曲不超過0.16mm與-0.08mm,且畸變量不超過2%。從圖16D可看出,本實施例變焦投影鏡頭4在60 lp/mm的時候,其調制光學傳遞函數值仍維持在40%以上。藉此,顯見本實施例之變焦投影鏡頭4的解析度不管是在是廣角(wide-angle)狀態、中間(middle)狀態或是長距投影(telephoto)狀態時,都是符合標準的。Furthermore, the zoom projection lens 4 can also meet the imaging quality in the telephoto state, which can be seen from FIG. 16A to FIG. 16D. As can be seen from FIGS. 16A and 16B, the longitudinal chromatic aberration of the zoom projection lens 4 of the present embodiment does not exceed 0.08 mm and -0.03 mm at the maximum, and the lateral chromatic aberration does not exceed 4 μm and -2 μm at the maximum. As can be seen from FIG. 16C, the maximum field curvature of the zoom projection lens 4 of the present embodiment does not exceed 0.16 mm and -0.08 mm, and the distortion variable does not exceed 2%. As can be seen from FIG. 16D, when the zoom projection lens 4 of the present embodiment is at 60 lp/mm, the modulation optical transfer function value is maintained at 40% or more. Thereby, it is apparent that the resolution of the zoom projection lens 4 of the present embodiment conforms to the standard regardless of whether it is a wide-angle state, a middle state, or a telephoto state.

綜合以上所述可得知,本發明之變焦投影鏡頭僅須利用兩組鏡即可達到變焦之目的,且不僅體積小,更具有高光學效能。In summary, it can be seen that the zoom projection lens of the present invention only needs to use two sets of mirrors to achieve the purpose of zooming, and is not only small in size but also high in optical performance.

以上所述僅為本發明較佳可行實施例而已,舉凡應用本發明說明書及申請專利範圍所為之等效結構及製作方法變化,理應包含在本發明之專利範圍內。The above description is only for the preferred embodiments of the present invention, and the equivalent structures and manufacturing methods of the present invention and the scope of the patent application are intended to be included in the scope of the present invention.

1...變焦投影鏡頭1. . . Zoom projection lens

G1...第一鏡群G1. . . First mirror group

L1...第一鏡片L1. . . First lens

L2...第二鏡片L2. . . Second lens

L3...第三鏡片L3. . . Third lens

L4...第四鏡片L4. . . Fourth lens

L5...第五鏡片L5. . . Fifth lens

G2...第二鏡群G2. . . Second mirror group

L6...第六鏡片L6. . . Sixth lens

L7...第七鏡片L7. . . Seventh lens

L8...第八鏡片L8. . . Eighth lens

L9...第九鏡片L9. . . Ninth lens

L10...第十鏡片L10. . . Tenth lens

L11...第十一鏡片L11. . . Eleventh lens

CG...玻璃遮蓋CG. . . Glass cover

ST...光圈ST. . . aperture

R1~R24...表面R1~R24. . . surface

Z...光軸Z. . . Optical axis

2...變焦投影鏡頭2. . . Zoom projection lens

G1...第一鏡群G1. . . First mirror group

L1...第一鏡片L1. . . First lens

L2...第二鏡片L2. . . Second lens

L3...第三鏡片L3. . . Third lens

L4...第四鏡片L4. . . Fourth lens

L5...第五鏡片L5. . . Fifth lens

第二鏡群Second mirror group

L6...第六鏡片L6. . . Sixth lens

L7...第七鏡片L7. . . Seventh lens

L8...第八鏡片L8. . . Eighth lens

L9...第九鏡片L9. . . Ninth lens

L10...第十鏡片L10. . . Tenth lens

L11...第十一鏡片L11. . . Eleventh lens

L12...第十二鏡片L12. . . Twelfth lens

CG...玻璃遮蓋CG. . . Glass cover

ST...光圈ST. . . aperture

R1~R26...表面R1~R26. . . surface

Z...光軸Z. . . Optical axis

3...變焦投影鏡頭3. . . Zoom projection lens

G1...第一鏡群G1. . . First mirror group

L1...第一鏡片L1. . . First lens

L2...第二鏡片L2. . . Second lens

L3...第三鏡片L3. . . Third lens

L4...第四鏡片L4. . . Fourth lens

L5...第五鏡片L5. . . Fifth lens

第二鏡群Second mirror group

L6...第六鏡片L6. . . Sixth lens

L7...第七鏡片L7. . . Seventh lens

L8...第八鏡片L8. . . Eighth lens

L9...第九鏡片L9. . . Ninth lens

L91...雙凸透鏡L91. . . Lenticular lens

L92...雙凹透鏡L92. . . Double concave lens

L10...第十鏡片L10. . . Tenth lens

L11...第十一鏡片L11. . . Eleventh lens

L12...第十二鏡片L12. . . Twelfth lens

CG...玻璃遮蓋CG. . . Glass cover

ST...光圈ST. . . aperture

R1~R27...表面R1~R27. . . surface

Z...光軸Z. . . Optical axis

4...變焦投影鏡頭4. . . Zoom projection lens

G1...第一鏡群G1. . . First mirror group

L1...第一鏡片L1. . . First lens

L2...第二鏡片L2. . . Second lens

L3...第三鏡片L3. . . Third lens

L4...第四鏡片L4. . . Fourth lens

L5...第五鏡片L5. . . Fifth lens

L6...第六鏡片L6. . . Sixth lens

第二鏡群Second mirror group

L7...第七鏡片L7. . . Seventh lens

L8...第八鏡片L8. . . Eighth lens

L9...第九鏡片L9. . . Ninth lens

L10...第十鏡片L10. . . Tenth lens

L11...第十一鏡片L11. . . Eleventh lens

L12...第十二鏡片L12. . . Twelfth lens

CG...玻璃遮蓋CG. . . Glass cover

ST...光圈ST. . . aperture

R1~R27...表面R1~R27. . . surface

Z...光軸Z. . . Optical axis

圖1為本發明第一較佳實施例之鏡片配置圖。1 is a lens configuration diagram of a first preferred embodiment of the present invention.

圖2A為第一較佳實施例在廣角狀態時之縱向色差圖。Fig. 2A is a longitudinal chromatic aberration diagram of the first preferred embodiment in a wide-angle state.

圖2B為第一較佳實施例在廣角狀態時之橫向色差圖。Fig. 2B is a lateral chromatic aberration diagram of the first preferred embodiment in a wide-angle state.

圖2C為第一較佳實施例在廣角狀態時之場曲圖及畸變圖。2C is a field curvature diagram and a distortion diagram of the first preferred embodiment in a wide-angle state.

圖2D為第一較佳實施例在廣角狀態時之MTF圖。2D is an MTF diagram of the first preferred embodiment in a wide-angle state.

圖3A為第一較佳實施例在中間狀態時之縱向色差圖。Fig. 3A is a longitudinal chromatic aberration diagram of the first preferred embodiment in an intermediate state.

圖3B為第一較佳實施例在中間狀態時之橫向色差圖。Fig. 3B is a lateral chromatic aberration diagram of the first preferred embodiment in an intermediate state.

圖3C為第一較佳實施例在中間狀態時之場曲圖及畸變圖。Fig. 3C is a field curvature diagram and a distortion diagram of the first preferred embodiment in an intermediate state.

圖3D為第一較佳實施例在中間狀態時之MTF圖。Figure 3D is an MTF diagram of the first preferred embodiment in an intermediate state.

圖4A為第一較佳實施例在遠距投影狀態時之縱向色差圖。4A is a longitudinal chromatic aberration diagram of the first preferred embodiment in a telephoto state.

圖4B為第一較佳實施例在遠距投影狀態時之橫向色差圖。Figure 4B is a lateral chromatic aberration diagram of the first preferred embodiment in the telephoto state.

圖4C為第一較佳實施例在遠距投影狀態時之場曲圖及畸變圖。4C is a field curvature diagram and a distortion diagram of the first preferred embodiment in a remote projection state.

圖4D為第一較佳實施例在遠距投影狀態時之MTF圖。4D is an MTF diagram of the first preferred embodiment in a telephoto state.

圖5為本發明第二較佳實施例之鏡片配置圖。Figure 5 is a perspective view of a lens configuration in accordance with a second preferred embodiment of the present invention.

圖6A為第二較佳實施例在廣角狀態時之縱向色差圖。Fig. 6A is a longitudinal chromatic aberration diagram of the second preferred embodiment in a wide-angle state.

圖6B為第二較佳實施例在廣角狀態時之橫向色差圖。Fig. 6B is a lateral chromatic aberration diagram of the second preferred embodiment in the wide-angle state.

圖6C為第二較佳實施例在廣角狀態時之場曲圖及畸變圖。Fig. 6C is a field curvature diagram and a distortion diagram of the second preferred embodiment in a wide-angle state.

圖6D為第二較佳實施例在廣角狀態時之MTF圖。Fig. 6D is an MTF diagram of the second preferred embodiment in a wide-angle state.

圖7A為第二較佳實施例在中間狀態時之縱向色差圖。Fig. 7A is a longitudinal chromatic aberration diagram of the second preferred embodiment in an intermediate state.

圖7B為第二較佳實施例在中間狀態時之橫向色差圖。Fig. 7B is a lateral chromatic aberration diagram of the second preferred embodiment in an intermediate state.

圖7C為第二較佳實施例在中間狀態時之場曲圖及畸變圖。Fig. 7C is a field curvature diagram and a distortion diagram of the second preferred embodiment in an intermediate state.

圖7D為第二較佳實施例在中間狀態時之MTF圖。Figure 7D is an MTF diagram of the second preferred embodiment in an intermediate state.

圖8A為第二較佳實施例在遠距投影狀態時之縱向色差圖。Figure 8A is a longitudinal chromatic aberration diagram of the second preferred embodiment in the telephoto state.

圖8B為第二較佳實施例在遠距投影狀態時之橫向色差圖。Figure 8B is a lateral chromatic aberration diagram of the second preferred embodiment in the telephoto state.

圖8C為第二較佳實施例在遠距投影狀態時之場曲圖及畸變圖。FIG. 8C is a field curvature diagram and a distortion diagram of the second preferred embodiment in a telephoto state.

圖8D為第二較佳實施例在遠距投影狀態時之MTF圖。Figure 8D is an MTF diagram of the second preferred embodiment in a telephoto state.

圖9為本發明第三較佳實施例之鏡片配置圖。Figure 9 is a perspective view of a lens arrangement in accordance with a third preferred embodiment of the present invention.

圖10A為第三較佳實施例在廣角狀態時之縱向色差圖。Fig. 10A is a longitudinal chromatic aberration diagram of the third preferred embodiment in a wide-angle state.

圖10B為第三較佳實施例在廣角狀態時之橫向色差圖。Fig. 10B is a lateral chromatic aberration diagram of the third preferred embodiment in the wide-angle state.

圖10C為第三較佳實施例在廣角狀態時之場曲圖及畸變圖。Fig. 10C is a field curvature diagram and a distortion diagram of the third preferred embodiment in a wide-angle state.

圖10D為第三較佳實施例在廣角狀態時之MTF圖。Fig. 10D is an MTF diagram of the third preferred embodiment in a wide-angle state.

圖11A為第三較佳實施例在中間狀態時之縱向色差圖。Figure 11A is a longitudinal chromatic aberration diagram of the third preferred embodiment in an intermediate state.

圖11B為第三較佳實施例在中間狀態時之橫向色差圖。Figure 11B is a lateral chromatic aberration diagram of the third preferred embodiment in an intermediate state.

圖11C為第三較佳實施例在中間狀態時之場曲圖及畸變圖。Figure 11C is a field curvature diagram and a distortion diagram of the third preferred embodiment in an intermediate state.

圖11D為第三較佳實施例在中間狀態時之MTF圖。Figure 11D is an MTF diagram of the third preferred embodiment in an intermediate state.

圖12A為第三較佳實施例在遠距投影狀態時之縱向色差圖。Figure 12A is a longitudinal chromatic aberration diagram of the third preferred embodiment in a telephoto state.

圖12B為第三較佳實施例在遠距投影狀態時之橫向色差圖。Figure 12B is a lateral chromatic aberration diagram of the third preferred embodiment in the telephoto state.

圖12C為第三較佳實施例在遠距投影狀態時之場曲圖及畸變圖。Fig. 12C is a field curvature diagram and a distortion diagram of the third preferred embodiment in a telephoto state.

圖12D為第三較佳實施例在遠距投影狀態時之MTF圖。Figure 12D is an MTF diagram of the third preferred embodiment in a telephoto state.

圖13為本發明第四較佳實施例之鏡片配置圖。Figure 13 is a perspective view of a lens configuration according to a fourth preferred embodiment of the present invention.

圖14A為第四較佳實施例在廣角狀態時之縱向色差圖。Fig. 14A is a longitudinal chromatic aberration diagram of the fourth preferred embodiment in a wide-angle state.

圖14B為第四較佳實施例在廣角狀態時之橫向色差圖。Fig. 14B is a lateral chromatic aberration diagram of the fourth preferred embodiment in the wide-angle state.

圖14C為第四較佳實施例在廣角狀態時之場曲圖及畸變圖。Fig. 14C is a field curvature diagram and a distortion diagram of the fourth preferred embodiment in a wide-angle state.

圖14D為第四較佳實施例在廣角狀態時之MTF圖。Fig. 14D is an MTF diagram of the fourth preferred embodiment in a wide-angle state.

圖15A為第四較佳實施例在中間狀態時之縱向色差圖。Fig. 15A is a longitudinal chromatic aberration diagram of the fourth preferred embodiment in an intermediate state.

圖15B為第四較佳實施例在中間狀態時之橫向色差圖。Figure 15B is a lateral chromatic aberration diagram of the fourth preferred embodiment in an intermediate state.

圖15C為第四較佳實施例在中間狀態時之場曲圖及畸變圖。Fig. 15C is a field curvature diagram and a distortion diagram of the fourth preferred embodiment in an intermediate state.

圖15D為第四較佳實施例在中間狀態時之MTF圖。Figure 15D is an MTF diagram of the fourth preferred embodiment in an intermediate state.

圖16A為第四較佳實施例在遠距投影狀態時之縱向色差圖。Figure 16A is a longitudinal chromatic aberration diagram of the fourth preferred embodiment in a telephoto state.

圖16B為第四較佳實施例在遠距投影狀態時之橫向色差圖。Figure 16B is a lateral chromatic aberration diagram of the fourth preferred embodiment in the telephoto state.

圖16C為第四較佳實施例在遠距投影狀態時之場曲圖及畸變圖。Figure 16C is a field curvature diagram and a distortion diagram of the fourth preferred embodiment in a telephoto state.

圖16D為第四較佳實施例在遠距投影狀態時之MTF圖。Figure 16D is an MTF diagram of the fourth preferred embodiment in a telephoto state.

1...變焦投影鏡頭1. . . Zoom projection lens

G1...第一鏡群G1. . . First mirror group

L1...第一鏡片L1. . . First lens

L2...第二鏡片L2. . . Second lens

L3...第三鏡片L3. . . Third lens

L4...第四鏡片L4. . . Fourth lens

L5...第五鏡片L5. . . Fifth lens

G2...第二鏡群G2. . . Second mirror group

L6...第六鏡片L6. . . Sixth lens

L7...第七鏡片L7. . . Seventh lens

L8...第八鏡片L8. . . Eighth lens

L9...第九鏡片L9. . . Ninth lens

L10...第十鏡片L10. . . Tenth lens

L11...第十一鏡片L11. . . Eleventh lens

CG...玻璃遮蓋CG. . . Glass cover

ST...光圈ST. . . aperture

R1~R24...表面R1~R24. . . surface

Z...光軸Z. . . Optical axis

Claims (12)

一種變焦投影鏡頭,包含有沿一光軸且由一成像側至一像源側依序排列設置之一第一鏡群以及一第二鏡群;其中,該第一鏡群具有負屈光力;該第一鏡群中由該成像側至該像源側算起之前三片鏡片之屈光力依序為負、正、負;該第二鏡群具有正屈光力;該第二鏡群中由該成像側至該像源側算起最後一片鏡片具有正屈光力,且至少一面為非球面表面;另外,該第一鏡群可於該成像側與該第二鏡群間沿該光軸移動;另外,該變焦投影鏡頭更滿足下列條件:1.31<fg/fw<2.2,其中,fw為該變焦投影鏡頭於廣角(wide-angle)狀態下之有效焦距;fg為該第二鏡群由該成像側至該像源側算起最後一片鏡片之有效焦距。 A zoom projection lens includes a first mirror group and a second mirror group arranged along an optical axis and arranged from an imaging side to an image source side; wherein the first mirror group has a negative refractive power; The refractive power of the first three lenses in the first mirror group from the imaging side to the image source side is negative, positive and negative in sequence; the second mirror group has a positive refractive power; and the second mirror group has the imaging side Up to the image source side, the last lens has a positive refractive power, and at least one side is an aspherical surface; in addition, the first mirror group can move along the optical axis between the imaging side and the second mirror group; The zoom projection lens further satisfies the following condition: 1.31<fg/fw<2.2, where fw is the effective focal length of the zoom projection lens in a wide-angle state; fg is the second mirror group from the imaging side to the The effective focal length of the last lens is counted from the source side. 如請求項1所述之變焦投影鏡頭,更包含一光圈,設於該第二鏡群內。 The zoom projection lens of claim 1, further comprising an aperture disposed in the second mirror group. 如請求項1所述之變焦投影鏡頭,其中該第一鏡群包含有由該成像側至該像源側依序排列設置之一第一鏡片、一第二鏡片、一第三鏡片、一第四鏡片以及一第五鏡片;該等鏡片皆由玻璃製成,且其屈光力依序為負、正、負、負、正。 The zoom projection lens of claim 1, wherein the first mirror group comprises a first lens, a second lens, a third lens, and a first one arranged in sequence from the imaging side to the image source side. Four lenses and a fifth lens; the lenses are all made of glass, and their refractive powers are negative, positive, negative, negative, and positive. 如請求項1所述之變焦投影鏡頭,其中該第二鏡群由該成像側至該像源側算起第一片鏡片為一個具有正屈光力之玻璃鏡片。 The zoom projection lens of claim 1, wherein the second lens group is a glass lens having a positive refractive power from the imaging side to the image source side. 如請求項1所述之變焦投影鏡頭,更滿足下列條件:-0.87<f2/f1<-0.76,其中,f1為該第一鏡群之有效焦距;f2為該第二鏡群之有效焦距。 The zoom projection lens of claim 1 further satisfies the following condition: -0.87<f2/f1<-0.76, wherein f1 is the effective focal length of the first mirror group; and f2 is the effective focal length of the second mirror group. 如請求項1所述之變焦投影鏡頭,更滿足下列條件:-2.09<f1/fw<-1.85,其中,f1為該第一鏡群之有效焦距;fw為該變焦投影鏡頭於廣角(wide-angle)狀態下之有效焦距。 The zoom projection lens according to claim 1 further satisfies the following condition: -2.09<f1/fw<-1.85, wherein f1 is the effective focal length of the first mirror group; fw is the zoom projection lens at the wide angle (wide- Effective focal length in the angle state. 如請求項1所述之變焦投影鏡頭,更滿足下列條件:1.59<f2/fw<1.64,其中,f2為該第二鏡群之有效焦距;fw為該變焦投影鏡頭於廣角(wide-angle)狀態下之有效焦距。 The zoom projection lens of claim 1 further satisfies the following condition: 1.59<f2/fw<1.64, wherein f2 is an effective focal length of the second mirror group; fw is the zoom projection lens at a wide-angle Effective focal length in the state. 如請求項1所述之變焦投影鏡頭,更滿足下列條件:0.70<fw/bf<0.71,其中,fw為該變焦投影鏡頭於廣角(wide-angle)狀態下之有效焦距;bf為該變焦投影鏡頭之後焦長度。 The zoom projection lens according to claim 1 further satisfies the following condition: 0.70<fw/bf<0.71, wherein fw is an effective focal length of the zoom projection lens in a wide-angle state; bf is the zoom projection The focal length of the lens. 如請求項1所述之變焦投影鏡頭,更滿足下列條件:6.66<tt/fw<6.7,其中,fw為該變焦投影鏡頭於廣角(wide-angle)狀態下之有效焦距;tt為該變焦投影鏡頭之總長度。 The zoom projection lens according to claim 1 further satisfies the following condition: 6.66<tt/fw<6.7, wherein fw is an effective focal length of the zoom projection lens in a wide-angle state; tt is the zoom projection The total length of the lens. 如請求項1所述之變焦投影鏡頭,更滿足下列條件:4.7<tt/bf<4.74,其中,bf為該變焦投影鏡頭之後焦長度;tt為該變焦投影鏡頭之總長度。 The zoom projection lens of claim 1 further satisfies the following condition: 4.7 < tt / bf < 4.74, wherein bf is the focal length of the zoom projection lens; tt is the total length of the zoom projection lens. 如請求項1所述之變焦投影鏡頭,更滿足下列條件:-1.31<ex/bf<-1.24,其中,bf為該變焦投影鏡頭之後焦長度;ex為該變焦投影鏡頭之出瞳位置(exit pupil position)。 The zoom projection lens according to claim 1 further satisfies the following condition: -1.31 <ex/bf<-1.24, wherein bf is the focal length of the zoom projection lens; ex is the exit position of the zoom projection lens (exit Pupill position). 如請求項1所述之變焦投影鏡頭,更滿足下列條件: 0.787<lt/tt<0.789,其中,tt為該變焦投影鏡頭之總長度;lt為該變焦投影鏡頭之第一個表面至最後一個表面間之長度。 The zoom projection lens of claim 1 further satisfies the following conditions: 0.787<lt/tt<0.789, where tt is the total length of the zoom projection lens; lt is the length between the first surface and the last surface of the zoom projection lens.
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Publication number Priority date Publication date Assignee Title
TW200424561A (en) * 2003-03-06 2004-11-16 Casio Computer Co Ltd Projection lens
CN2857048Y (en) * 2005-08-01 2007-01-10 中强光电股份有限公司 Zoom lens
TW200905236A (en) * 2007-07-27 2009-02-01 Young Optics Inc Fixed-focus lens
TW201007206A (en) * 2008-08-08 2010-02-16 Young Optics Inc Projection lens
TW201028729A (en) * 2009-01-22 2010-08-01 Young Optics Inc Zoom lens

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
TW200424561A (en) * 2003-03-06 2004-11-16 Casio Computer Co Ltd Projection lens
CN2857048Y (en) * 2005-08-01 2007-01-10 中强光电股份有限公司 Zoom lens
TW200905236A (en) * 2007-07-27 2009-02-01 Young Optics Inc Fixed-focus lens
TW201007206A (en) * 2008-08-08 2010-02-16 Young Optics Inc Projection lens
TW201028729A (en) * 2009-01-22 2010-08-01 Young Optics Inc Zoom lens

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