TWI732988B - Lens assembly - Google Patents
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- TWI732988B TWI732988B TW107102553A TW107102553A TWI732988B TW I732988 B TWI732988 B TW I732988B TW 107102553 A TW107102553 A TW 107102553A TW 107102553 A TW107102553 A TW 107102553A TW I732988 B TWI732988 B TW I732988B
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本揭示是關於一種光學元件,特別是關於一種小型化且具有廣視角和遠心光學設計之鏡頭組。 The present disclosure relates to an optical element, in particular to a miniaturized lens group with a wide viewing angle and a telecentric optical design.
將市面上應用於DLP(Digital Light Processing)以及LCoS(Liquid Crystal On Silicon)的數位投影機之鏡頭組,配合對應的組合介面即可達到進一步之應用,例如應用於擴增實境(Augment Reality,縮寫AR)、虛擬實境(Virtual Reality,縮寫VR)、混合實境(Mixed Reality,縮寫MR)、或抬頭顯示器(head up display,縮寫HUD)等。在此類型的應用中,先將瞳孔光圈處設置組合介面,並利用光學反射原理將資訊投射在組合介面上,並經過平衡反射將資訊投射入使用者的眼睛,進而完成一種大視場角度且為無窮遠像距之光學系統。 The lens sets of digital projectors used in the market for DLP (Digital Light Processing) and LCoS (Liquid Crystal On Silicon) can be combined with the corresponding combination interface to achieve further applications, such as in Augment Reality (Augment Reality, Abbreviation AR), Virtual Reality (Virtual Reality, abbreviation VR), Mixed Reality (Mixed Reality, abbreviation MR), or head up display (abbreviation HUD), etc. In this type of application, first set up a combined interface at the pupil aperture, and use the principle of optical reflection to project information on the combined interface, and then project the information into the user’s eyes through balanced reflection, thereby completing a large field of view and It is an optical system with infinite image distance.
然而,目前應用於前置光圈並具備遠心式光學系統架構的鏡頭組,其通常採用多群變焦設計並搭載球面透鏡,這樣的結構使得鏡頭組體積過於龐大而不利於微型化。有鑑於此,有必要提出一種鏡頭組,以解決習知技術中存在的問題。 However, currently used in lens groups with a front aperture and a telecentric optical system architecture, they usually adopt a multi-group zoom design and are equipped with spherical lenses. Such a structure makes the lens group too bulky and is not conducive to miniaturization. In view of this, it is necessary to propose a lens group to solve the problems existing in the conventional technology.
為解決上述習知技術之問題,本揭示之目的在於提供一種具有廣視角和遠心光學設計之特性的鏡頭組。 In order to solve the above-mentioned problems of the conventional technology, the purpose of the present disclosure is to provide a lens group with the characteristics of a wide viewing angle and a telecentric optical design.
為達成上述目的,本揭示提供一種鏡頭組,其從物側至像側在光軸上依序包含:一第一透鏡,其為具負屈光力的彎月型透鏡;一第二透鏡,其為具正屈光力的透鏡;一第三透鏡,其為具正屈光力的透鏡,該第三透鏡之靠近該像側之表面為凸面;一第四透鏡,其為具正屈光力的透鏡:以及一第五透鏡,其為具負屈光力的透鏡,該第五透鏡之靠近該像側之表面為凹面,其中該第四透鏡與該第五透鏡構成一具負屈光力的膠合透鏡。 In order to achieve the above objective, the present disclosure provides a lens assembly, which sequentially includes on the optical axis from the object side to the image side: a first lens, which is a meniscus lens with negative refractive power; and a second lens, which is A lens with positive refractive power; a third lens, which is a lens with positive refractive power, and the surface of the third lens near the image side is convex; a fourth lens, which is a lens with positive refractive power: and a fifth lens The lens is a lens with negative refractive power, the surface of the fifth lens near the image side is concave, wherein the fourth lens and the fifth lens form a cemented lens with negative refractive power.
於本揭示其中之一實施例中,鏡頭組還包含:一光圈,設置在該物側與該第一透鏡之間。 In one of the embodiments of the present disclosure, the lens set further includes: an aperture set between the object side and the first lens.
於本揭示其中之一實施例中,該第一透鏡之靠近該物側之表面為凹面,以及該第一透鏡之靠近該像側之表面為凸面。 In one of the embodiments of the present disclosure, the surface of the first lens near the object side is a concave surface, and the surface of the first lens near the image side is a convex surface.
於本揭示其中之一實施例中,該第二透鏡之靠近該物側和該像側之表面皆為凸面。 In one of the embodiments of the present disclosure, the surfaces of the second lens near the object side and the image side are both convex.
於本揭示其中之一實施例中,該第三透鏡之靠近該物側之表面為凸面。 In one of the embodiments of the present disclosure, the surface of the third lens near the object side is convex.
於本揭示其中之一實施例中,該第四透鏡之靠近該物側和該像側之表面皆為凸面,以及該第五透鏡之靠近該物側之表面為凹面。 In one of the embodiments of the present disclosure, the surfaces of the fourth lens near the object side and the image side are both convex, and the surfaces of the fifth lens near the object side are concave.
於本揭示其中之一實施例中,該鏡頭組滿足以下條件式:3.3 4.7,其中f1為該第一透鏡的焦距,EFL為該鏡頭組的焦距。 In one of the embodiments of the present disclosure, the lens group satisfies the following conditional formula: 3.3 4.7, where f 1 is the focal length of the first lens, and EFL is the focal length of the lens group.
於本揭示其中之一實施例中,該鏡頭組滿足以下條件式:1.2 1.5,其中IMG(H)為該鏡頭組之像高,且f#為該鏡頭組的光圈值;以 及其中該鏡頭組滿足以下條件式:1.73.2,其中f1為該第一透鏡的焦距,以及f45為該第四透鏡和該第五透鏡之組合的焦距。 In one of the embodiments of the present disclosure, the lens group satisfies the following conditional formula: 1.2 1.5, where IMG(H) is the image height of the lens group, and f # is the aperture value of the lens group; and where the lens group satisfies the following conditional formula: 1.7 3.2, where f 1 is the focal length of the first lens, and f 45 is the focal length of the combination of the fourth lens and the fifth lens.
於本揭示其中之一實施例中,該鏡頭組之主光線入射成像平面的最大角度小於等於1.4度。 In one of the embodiments of the present disclosure, the maximum angle of the chief ray of the lens group incident on the imaging plane is less than or equal to 1.4 degrees.
於本揭示其中之一實施例中,其中該鏡頭組滿足以下條件式:1.42,其中f45為該第四透鏡和該第五透鏡之組合的焦距,EFL為該鏡頭組的焦距。 In one of the embodiments of the present disclosure, the lens group satisfies the following conditional formula: 1.4 2. Where f 45 is the focal length of the combination of the fourth lens and the fifth lens, and EFL is the focal length of the lens group.
相較於先前技術,本揭示採用前置光圈鏡頭並搭配具有負屈光力的第一透鏡,而非採用先前技術的正屈光力的透鏡,進而可獲得較佳地解像效果。再者,本揭示提供由第四透鏡與第五透鏡構成的複合透鏡以作為遠心光程系統之整型,進而能有效地縮短鏡頭組之整體長度,以達到短焦之效果,如此可實現鏡頭組小型化之目的。 Compared with the prior art, the present disclosure uses a front-aperture lens with a first lens with negative refractive power instead of using a positive refractive power lens of the prior art, so that a better resolution effect can be obtained. Furthermore, the present disclosure provides a compound lens composed of a fourth lens and a fifth lens as the integral type of the telecentric optical path system, which can effectively shorten the overall length of the lens group to achieve the effect of short focal length, so that the lens can be realized The purpose of group miniaturization.
10、20、30:透鏡組 10, 20, 30: lens group
L1:第一透鏡 L1: The first lens
L2:第二透鏡 L2: second lens
L3:第三透鏡 L3: third lens
L4:第四透鏡 L4: Fourth lens
L5:第五透鏡 L5: fifth lens
I1:第一無屈光力介質 I1: The first non-refractive medium
I2:第二無屈光力介質 I2: The second non-refractive medium
31:黏膠層 31: Adhesive layer
ST:光圈 ST: Aperture
OA:光軸 OA: Optical axis
OF:濾光片 OF: filter
IMA:成像平面 IMA: imaging plane
S01、S03~S18、STO:表面 S01, S03~S18, STO: surface
第1圖顯示依據本發明三種實施例的鏡頭組之示意圖;第2A和2B圖分別為第1圖之第一種實施例的鏡頭組10的調變轉換函數圖和橫向色差圖;第3A和3B圖分別為第1圖之第二種實施例的鏡頭組20的調變轉換函數圖和橫向色差圖;以及第4A和4B圖分別為第1圖之第三種實施例的鏡頭組30的調變轉換函數圖和橫向色差圖。
Figure 1 shows a schematic diagram of a lens set according to three embodiments of the present invention; Figures 2A and 2B are respectively a modulation transfer function diagram and a lateral chromatic aberration diagram of the lens set 10 of the first embodiment of Figure 1; Figures 3A and 2B Figure 3B is the modulation transfer function diagram and lateral chromatic aberration diagram of the
為了讓本揭示之上述及其他目的、特徵、優點能更明顯易懂,下文將特舉本揭示三個實施例,並配合所附圖式,作詳細說明如下。 In order to make the above and other objectives, features, and advantages of the present disclosure more comprehensible, three embodiments of the present disclosure will be specifically described below in conjunction with the accompanying drawings.
本揭示提供之鏡頭組具有廣視角和遠心光學設計之特性,可應用於各種配備鏡頭之成像裝置,諸如DLP、LCoS、AR、VR、MR、HUD設備等。 The lens set provided in this disclosure has the characteristics of wide viewing angle and telecentric optical design, and can be applied to various imaging devices equipped with lenses, such as DLP, LCoS, AR, VR, MR, HUD equipment, etc.
本揭示之鏡頭組的基本結構顯示於第1圖,其顯示三種實施例,其中透鏡組10為第一實施例,透鏡組20為第二實施例,以及透鏡組30為第三實施例。如第1圖所示,該鏡頭組10、20、30沿著光軸OA從物側至像側依序包含第一透鏡L1、第二透鏡L2、第三透鏡L3、第四透鏡L4及第五透鏡L5,透鏡總數為五片,此外還包含位於物側與第一透鏡L1之間的光圈ST和第一無屈光力介質I1,以及還包含位於第五透鏡L5和成像平面IMA之間的濾光片OF和第二無屈光力介質I2。
The basic structure of the lens group of the present disclosure is shown in FIG. 1, which shows three embodiments, wherein the
光圈ST是用於限制相對孔徑之位置和大小,並且作為入瞳位置使用。此外,藉由光圈ST可有效地遮蔽和限制非有效光線,例如雜散光線、大角度入射光線等。 The aperture ST is used to limit the position and size of the relative aperture, and is used as the entrance pupil position. In addition, the aperture ST can effectively shield and limit ineffective light, such as stray light, incident light at a large angle, and so on.
第一無屈光力介質I1可有效地增加光圈ST與第一透鏡L1之距離,以達到彈性地調整光程空間之目的。第一無屈光力介質I1之材料選自於玻璃。 The first non-refractive medium I1 can effectively increase the distance between the aperture ST and the first lens L1 to achieve the purpose of elastically adjusting the optical path space. The material of the first non-refractive medium I1 is selected from glass.
第一透鏡L1為具有負屈光力的彎月型透鏡,其物側表面為凹面,其像側表面為凸面。第一透鏡L1可將光束有效地擴散進而增加光程,並且使第一無屈光力介質I1可容納在鏡頭組10、20、30內部。在本揭示中,藉由採用前置光圈鏡頭並搭配具有負屈光力的第一透鏡L1,而非採用先前技術的正屈光力的透鏡,如此可獲得較佳地解像效果。
The first lens L1 is a meniscus lens with negative refractive power, and its object-side surface is concave, and its image-side surface is convex. The first lens L1 can effectively diffuse the light beam to increase the optical length, and the first non-refractive medium I1 can be contained in the
第二透鏡L2之物側表面大致為平面,或者是接***面,以及像側表面為凸面。第三透鏡L3為雙凸透鏡,即物側表面和像側表面皆為凸面,並且像側表面為非球面。第二透鏡L2和第三透鏡L3皆為具有正屈光力的透鏡,可有效地縮短鏡頭組10、20、30之焦距,並且提供鏡頭組10、20、30整體之屈光能力。
The object-side surface of the second lens L2 is substantially flat or close to a flat surface, and the image-side surface is convex. The third lens L3 is a biconvex lens, that is, both the object side surface and the image side surface are convex surfaces, and the image side surface is aspherical. Both the second lens L2 and the third lens L3 are lenses with positive refractive power, which can effectively shorten the focal length of the
第四透鏡L4為雙凸透鏡,即物側表面和像側表面皆為凸面。第五透鏡L5為雙凹透鏡,即物側表面和像側表面皆為凹面,並且像側表面為非球面,其面型從近光軸OA處往邊緣處有一次反曲。在本揭示中,藉由在物側與第一透鏡L1之間設置光圈ST和藉由提供像側表面為非球面且面型從近光軸OA處往邊緣處有一次反曲的第五透鏡L5,有助於有效地遮蔽和限制非有效光線,可以與AR入瞳處耦合。應當注意的是,第四透鏡L4與第五透鏡L5構成一複合透鏡,且第四透鏡之像側表面與第五透鏡之物側表面接合。應當注意的是,第四透鏡L4與第五透鏡L5之該複合透鏡是以黏膠接合的膠合透鏡。在本揭示中,通過提供由第四透鏡與第五透鏡構成的複合透鏡不但可有效地消除色散,還可為光學系統做適當地遠心光程調整,以作為遠心光程系統之整型,進而能有效地縮短鏡頭組10、20、30之整體長度,以達到短焦之效果,如此可實現鏡頭組10、20、30小型化之目的。
The fourth lens L4 is a biconvex lens, that is, both the object side surface and the image side surface are convex. The fifth lens L5 is a biconcave lens, that is, both the object-side surface and the image-side surface are concave, and the image-side surface is aspherical, and its surface shape has a recurve from the near optical axis OA to the edge. In the present disclosure, by providing an aperture ST between the object side and the first lens L1, and by providing a fifth lens whose image side surface is aspherical and whose surface shape has a recurve from the near optical axis OA to the edge L5, helps to effectively shield and limit the ineffective light, and can be coupled with the AR entrance pupil. It should be noted that the fourth lens L4 and the fifth lens L5 constitute a compound lens, and the image side surface of the fourth lens and the object side surface of the fifth lens are cemented. It should be noted that the compound lens of the fourth lens L4 and the fifth lens L5 is a cemented lens joined by glue. In the present disclosure, by providing a compound lens composed of a fourth lens and a fifth lens, not only the dispersion can be effectively eliminated, but also the telecentric optical length can be adjusted appropriately for the optical system as a shaping of the telecentric optical length system. The overall length of the
第二無屈光力介質I2可有效地增加第五透鏡L5與成像平面IMA之距離,以達到彈性地調整光程空間之目的。較佳地,第二無屈光力介質I2之材料選自於玻璃。 The second non-refractive medium I2 can effectively increase the distance between the fifth lens L5 and the imaging plane IMA, so as to achieve the purpose of elastically adjusting the optical path space. Preferably, the material of the second non-refractive medium I2 is selected from glass.
本文中,除非特別敘明,否則透鏡的物側表面和像側表面指的是近光軸處的物側表面和像側表面。並且,透鏡的物側表面指的是該透鏡靠近透 鏡組之物側的表面,以及透鏡的像側表面指的是該透鏡靠近透鏡組之像側的表面。此外,具有負屈光力的透鏡指的是當平行光線穿過該透鏡時,光線會朝遠離軸心之方向發散,以及具有正屈光力的透鏡指的是當平行光線穿過該透鏡時,光線會朝靠近軸心之方向匯聚,以及無屈光力介質指的是當平行光線穿過該介質時,光線不會轉折且保持直線地前進。 Herein, unless otherwise stated, the object-side surface and the image-side surface of the lens refer to the object-side surface and the image-side surface at the near optical axis. And, the object side surface of the lens means that the lens is close to the transparent The object side surface of the lens group and the image side surface of the lens refer to the surface of the lens close to the image side of the lens group. In addition, a lens with negative refractive power means that when parallel rays pass through the lens, the rays will diverge away from the axis, and a lens with positive refractive power means that when parallel rays pass through the lens, the rays of light will diverge. Convergence in the direction close to the axis and non-refractive medium means that when parallel rays pass through the medium, the rays will not bend and keep going straight.
本揭示之鏡頭組10、20、30的第一透鏡L1滿足下列數學式(1):
又,本揭示之鏡頭組10、20、30的由第四透鏡L4與第五透鏡L5構成之複合透鏡也滿足下列數學式(2):
又,本揭示之鏡頭組10、20、30滿足以下條件(3)。
In addition, the
又,為使鏡頭組10、20、30具有較佳的光學特性,鏡頭組10、20、30的第一透鏡L1、第四透鏡L4、和第五透鏡L5進一步滿足如下條件(4)。藉由將第一透鏡L1、第四透鏡L4、和第五透鏡L5設計為滿足條件(4)和藉由提供像側表面為非球面且面型從近光軸OA處往邊緣處有一次反曲的第五透鏡L5,進一步維持光學性能。
In addition, in order to make the
其中f1為第一透鏡L1的焦距,以及f45為第四透鏡L4與第五透鏡L5之組合的焦距。 Where f 1 is the focal length of the first lens L1, and f 45 is the focal length of the combination of the fourth lens L4 and the fifth lens L5.
又,鏡頭組10、20、30還滿足如下條件(5)。
In addition, the
其中CRA為鏡頭組10、20、30之主光線入射成像平面的最大角度,即鏡頭組10、20、30之主光線入射成像平面的最大角度小於等於1.4度。可以理解的是,當CRA數值越趨近0表示,透鏡組越接近遠心光學設計,即透鏡組顯示之圖像的亮度與色彩均勻性皆會較佳,反之則較差。因此,藉由將透鏡組設計為滿足此條件(5)和藉由提供像側表面為非球面且面型從近光軸OA處往邊緣處有一次反曲的第五透鏡L5,能有效地確保透鏡組具有遠心光學設計之特
性,即屬於遠心式鏡頭,以犧牲鏡片數與體積換取較佳的景深與對比度。
Where CRA is the maximum angle of the chief ray of the
當該鏡頭組10、20、30至少滿足上述條件式(1)~(5)其中一條件時,能有效的使透鏡組具有微型化、廣視角和遠心光學設計之特性。
When the
以下將舉三個具體實施例,對本發明之鏡頭組10、20、30作進一步詳細說明,請參閱第1圖,其分別顯示本發明第一實施例的鏡頭組10、第二實施例的鏡頭組20和第三實施例的鏡頭組30。
Three specific embodiments will be given below to further describe the lens sets 10, 20, and 30 of the present invention in further detail. Please refer to Figure 1, which respectively show the lens set 10 of the first embodiment and the second embodiment of the present invention.
此外,非球面透鏡之形狀可以下式表示:
第一實施例:請參閱第1圖,其顯示依據本發明三種實施例的鏡頭組之示意圖,其中鏡頭組10為第一實施例。於第一實施例中,鏡頭組由物側至像側於光軸OA上依序包含光圈ST、第一無屈光力介質I1、第一透鏡L1、第二透鏡L2、第三透鏡L3、第四透鏡L4、第五透鏡L5、第二無屈光力介質I2、濾光片OF、和成像平面IMA,其中上述該等元件之結構和特徵大致記載於上,在此不加以贅述。應當注意的是,在此實施例中,光圈ST設置在第一無屈光力介質I1之物側表面的位置,以及成像平面IMA設置在與濾光片OF之像側表面相隔一距離的位置。 較佳地,第一透鏡L1至第五透鏡L5和第一、第二無屈光力介質I1、I2的材料選自於玻璃。 First embodiment: Please refer to Fig. 1, which shows a schematic diagram of a lens set according to three embodiments of the present invention, in which the lens set 10 is the first embodiment. In the first embodiment, the lens group includes an aperture ST, a first non-refractive medium I1, a first lens L1, a second lens L2, a third lens L3, and a fourth lens in order on the optical axis OA from the object side to the image side. The lens L4, the fifth lens L5, the second non-refractive medium I2, the filter OF, and the imaging plane IMA, wherein the structure and characteristics of the above-mentioned elements are roughly described above, and will not be repeated here. It should be noted that in this embodiment, the aperture ST is set at the position of the object side surface of the first non-refractive medium I1, and the imaging plane IMA is set at a distance from the image side surface of the filter OF. Preferably, the materials of the first lens L1 to the fifth lens L5 and the first and second non-refractive mediums I1 and I2 are selected from glass.
表一為第1圖中第一實施例的鏡頭組10之各元件的相關參數表,該鏡頭組的焦距(EFL)為12.2mm,光圈值(F-number,簡稱f#)為4.88。
Table 1 is a table of related parameters of the elements of the
表二為表一中第三透鏡L3之像側表面S09和第五透鏡L5之像側表面S12之非球面表面之相關參數表。 Table 2 is a table of related parameters of the aspheric surface of the image side surface S09 of the third lens L3 and the image side surface S12 of the fifth lens L5 in Table 1.
本實施例之鏡頭組的鏡頭總長(TTL)為40.41mm、焦距(EFL)為12.2mm、後焦距長(BFL,即第五透鏡L5之像側表面至成像平面IMA於光軸上之距離)為1.5mm、視場(FOV)為62mm、鏡頭組之像高(IMG(H),半徑)為6mm、f1(第一透鏡L1的焦距)為-41.43mm、f2(第二透鏡L2的焦距)為22.08mm、f3(第三透鏡L3的焦距)為19.54mm、f45(第四透鏡L4和第五透鏡L5之組合的焦距)為-23.45mm。可以理解的是,在此實施例中,=1.922,,,以及CRA<1.34 degree,且成像平面IMA在0.9個像高內,因此本實施例之鏡頭組的特性滿足上述條件式(1)至(5),藉此設計,使得本揭示能達到鏡頭組小型化之目的,並且使透鏡組具有廣視角和遠心光學設計之特性。 The lens group of this embodiment has a total lens length (TTL) of 40.41mm, a focal length (EFL) of 12.2mm, and a long back focal length (BFL, which is the distance from the image side surface of the fifth lens L5 to the imaging plane IMA on the optical axis) Is 1.5mm, the field of view (FOV) is 62mm, the image height of the lens group (IMG(H), radius) is 6mm, f 1 (the focal length of the first lens L1) is -41.43mm, f 2 (the second lens L2) The focal length of) is 22.08 mm, f 3 (the focal length of the third lens L3) is 19.54 mm, and f 45 (the focal length of the combination of the fourth lens L4 and the fifth lens L5) is -23.45 mm. It is understandable that in this embodiment , =1.922, , , And CRA<1.34 degree, and the imaging plane IMA is within 0.9 image height. Therefore, the characteristics of the lens group of this embodiment satisfy the above conditional formulas (1) to (5), and the design enables the present disclosure to achieve the lens group The purpose of miniaturization, and to make the lens group have the characteristics of wide viewing angle and telecentric optical design.
此外,在本實施例中,由可知,第四透鏡L4和第五透鏡L5組成之膠合透鏡發揮良好的短焦效果。 In addition, in this embodiment, by It can be seen that the cemented lens composed of the fourth lens L4 and the fifth lens L5 exerts a good short-focus effect.
請參照第2A和2B圖,其分別為本發明第一實施例的鏡頭組10的調變轉換函數圖和橫向色差圖。在第2A圖中,此為零對稱系統,且在圖式中僅顯示調變轉換函數之數值為正的部分,而未顯示數值為負的部分。應當注意的是,調變轉換函數之數值(縱軸)越高表示解像效果越好。由第2A圖可見,本實施例的透鏡組10對波長範圍介於0.4861μm至0.6563μm的光線,分別於子午(Tangential,圖中縮寫為「T」)方向與弧矢(Sagittal,圖中縮寫為「S」)方向,視場高度分別為0.0000mm、1.0000mm、2.0000mm、3.0000mm、4.0000mm、5.1800mm、6.0000mm,空間頻率介於0 1p/mm至92.6 1p/mm的調變轉換函數值
介於0.5至1.0之間。又,在第2B圖中,左右兩側的線圖為系統模擬計算出的範圍(-3.5μm至3.5μm),以及橫軸表示平面顏色分離的狀況。由第2B圖可見,本實施例的透鏡組10以波長0.587562μm為參考波長,對波長為0.5876μm、0.4861μm、0.6563μm的光線於視場高度介於0mm至6mm之間所產生的橫向色差值介於-3.5μm至3.5μm之間。顯然地,本實施例的透鏡組10的橫向色差能被有效地修正,且影像分辨率與能滿足要求從而得到較佳地光學性能。
Please refer to FIGS. 2A and 2B, which are respectively a modulation transfer function diagram and a lateral chromatic aberration diagram of the
第二實施例:請參閱第1圖中第二實施例的鏡頭組20。於第二實施例中,鏡頭組由物側至像側於光軸OA上依序包含光圈ST、第一無屈光力介質I1、第一透鏡L1、第二透鏡L2、第三透鏡L3、第四透鏡L4、第五透鏡L5、第二無屈光力介質I2、濾光片OF、和成像平面IMA,其中上述該等元件之結構和特徵大致記載於上,在此不加以贅述。應當注意的是,在此實施例中,光圈ST設置在與第一無屈光力介質I1之物側表面相隔一距離的位置,以及成像平面IMA設置在濾光片OF之像側表面的位置。較佳地,第一透鏡L1至第五透鏡L5和第一、第二無屈光力介質I1、I2的材料選自於玻璃。
Second embodiment: Please refer to the
表三為第1圖中第二實施例的鏡頭組20之各元件的相關參數表,該鏡頭組的焦距(EFL)為11mm,光圈值(F-number)為3.66。
Table 3 is a table of relevant parameters of each element of the
表四為表三中第三透鏡L3之像側表面S10和第五透鏡L5之像側表面S13之非球面表面之相關參數表。 Table 4 is a table of relevant parameters of the aspheric surface of the image side surface S10 of the third lens L3 and the image side surface S13 of the fifth lens L5 in Table 3.
本實施例之鏡頭組的鏡頭總長(TTL)為35.38mm、焦距(EFL)為11mm、後焦距長(BFL,即第五透鏡L5之像側表面至成像平面IMA於光軸上之距離)為1.905mm、視場(FOV)為58mm、鏡頭組之像高(IMG(H),半徑)為5.2mm、f1(第一透鏡L1的焦距)為-49.872mm、f2(第二透鏡L2的焦距)為19.33mm、f3(第三透鏡L3的焦距)為16.5mm、f45(第四透鏡L4和第五透鏡L5之組合的焦距)為-17.35mm。可以理解的是,在此實施例中,=1.577,,,以及CRA<1.33 degree,且成像平面IMA 在0.9個像高內,因此本實施例之鏡頭組的特性滿足上述條件式(1)至(5),藉此設計,使得本揭示能達到鏡頭組小型化之目的,並且使透鏡組具有廣視角和遠心光學設計之特性。 The lens group of this embodiment has a total lens length (TTL) of 35.38mm, a focal length (EFL) of 11mm, and a long back focal length (BFL, that is, the distance from the image side surface of the fifth lens L5 to the imaging plane IMA on the optical axis): 1.905mm, the field of view (FOV) is 58mm, the image height of the lens group (IMG(H), radius) is 5.2mm, f 1 (the focal length of the first lens L1) is -49.872mm, f 2 (the second lens L2) The focal length of) is 19.33mm, f 3 (the focal length of the third lens L3) is 16.5 mm, and f 45 (the focal length of the combination of the fourth lens L4 and the fifth lens L5) is -17.35 mm. It is understandable that in this embodiment , =1.577, , , And CRA<1.33 degree, and the imaging plane IMA is within 0.9 image height. Therefore, the characteristics of the lens group of this embodiment satisfy the above conditional formulas (1) to (5), and the design enables the present disclosure to achieve the lens group The purpose of miniaturization, and to make the lens group have the characteristics of wide viewing angle and telecentric optical design.
此外,在本實施例中,由可知,第二實施例之第四透鏡L4和第五透鏡L5組成之膠合透鏡發揮良好的短焦效果。又,在本揭示中,由可知,該數值相較於其他實施例為最大,也就是說,第二實施例之鏡頭組具有優於其他實施例的廣視角特性。 In addition, in this embodiment, by It can be seen that the cemented lens composed of the fourth lens L4 and the fifth lens L5 of the second embodiment exerts a good short-focus effect. Also, in this disclosure, by It can be seen that this value is the largest compared to the other embodiments, that is, the lens set of the second embodiment has a wide viewing angle characteristic better than that of the other embodiments.
請參照第3A和3B圖,其分別為本發明第二實施例的鏡頭組20的調變轉換函數圖和橫向色差圖。在第3A圖中,此為零對稱系統,且在圖式中僅顯示調變轉換函數之數值為正的部分,而未顯示數值為負的部分。應當注意的是,調變轉換函數之數值(縱軸)越高表示解像效果越好。由第3A圖可見,本實施例的透鏡組20對波長範圍介於0.4861μm至0.6563μm的光線,分別於子午方向與弧矢方向,視場高度分別為0.0000mm、1.0000mm、2.0000mm、3.0000mm、4.0000mm、5.1800mm,空間頻率介於0 1p/mm至92.6 1p/mm的調變轉換函數值介於0.6至1.0之間。又,在第3B圖中,左右兩側的線圖為系統模擬計算出的範圍(-2.5μm至2.5μm),以及橫軸表示平面顏色分離的狀況。由第3B圖可見,本實施例的透鏡組20以波長0.587562μm為參考波長,對波長為0.5000μm、0.4850μm等光線於視場高度介於0mm至6mm之間所產生的橫向色差值介於-2.5μm至2.5μm之間。顯然地,本實施例的透鏡組20的橫向色差能被有效地修正,且影像分辨率與能滿足要求從而得到較佳地光學性能。
Please refer to FIGS. 3A and 3B, which are respectively a modulation transfer function diagram and a lateral chromatic aberration diagram of the
第三實施例:
請參閱第1圖中第三實施例的鏡頭組30之示意圖。於第三實施例中,鏡頭組由物側至像側於光軸OA上依序包含光圈ST、第一無屈光力介質I1、第一透鏡L1、第二透鏡L2、第三透鏡L3、第四透鏡L4、第五透鏡L5、第二無屈光力介質I2、濾光片OF、和成像平面IMA,其中上述該等元件之結構和特徵大致記載於上,在此不加以贅述。應當注意的是,在此實施例中,光圈ST設置在與第一無屈光力介質I1之物側表面相隔一距離的位置,以及成像平面IMA設置在與濾光片OF之像側表面,其中濾光片OF是由兩片濾光片組成,且兩片濾光片是由黏膠黏接,也就是說濾光片OF中間包含一黏膠層31。較佳地,第一透鏡L1至第五透鏡L5和第一、第二無屈光力介質I1、I2的材料選自於玻璃。
The third embodiment:
Please refer to the schematic diagram of the
表五為第1圖中第三實施例的鏡頭組30之各元件的相關參數表,該鏡頭組的焦距(EFL)為10mm,光圈值(F-number)為3.329。
Table 5 is a table of related parameters of each element of the
表六為表五中第三透鏡L3之像側表面S10和第五透鏡L5之像側表面S13之非球面表面之相關參數表。 Table 6 is a table of related parameters of the aspheric surface of the image side surface S10 of the third lens L3 and the image side surface S13 of the fifth lens L5 in Table 5.
本實施例之鏡頭組的鏡頭總長(TTL)為33.61mm、焦距(EFL)為10mm、後焦距長(BFL,即第五透鏡L5之像側表面至成像平面IMA於光軸上之距離)為1.289mm、視場(FOV)為58mm、鏡頭組之像高(IMG(H),半徑)為4.7mm、f1(第一透鏡L1的焦距)為-46.594mm、f2(第二透鏡L2的焦距)為20.08mm、f3(第三透鏡L3的焦距)為13.43mm、f45(第四透鏡L4和第五透鏡L5之組合的焦距)為-14.583mm。可以理解的是,在此實施例中,=1.458,,,以及CRA<1.07 degree,且成像平面IMA在0.9個像高內,因此本實施例之鏡頭組的特性滿足上述條件式(1)至(5),藉此設計,使得本揭示能達到鏡頭組小型化之目的,並且使透鏡組具有廣視角和遠心光學設計之特性。 The lens group of this embodiment has a total lens length (TTL) of 33.61mm, a focal length (EFL) of 10mm, and a long back focal length (BFL, that is, the distance from the image side surface of the fifth lens L5 to the imaging plane IMA on the optical axis): 1.289mm, the field of view (FOV) is 58mm, the image height of the lens group (IMG(H), radius) is 4.7mm, f 1 (the focal length of the first lens L1) is -46.594mm, f 2 (the second lens L2) The focal length of) is 20.08 mm, f 3 (the focal length of the third lens L3) is 13.43 mm, and f 45 (the focal length of the combination of the fourth lens L4 and the fifth lens L5) is -14.583 mm. It is understandable that in this embodiment , =1.458, , , And CRA<1.07 degree, and the imaging plane IMA is within 0.9 image height. Therefore, the characteristics of the lens group of this embodiment satisfy the above conditional expressions (1) to (5), and the design enables the present disclosure to achieve the lens group The purpose of miniaturization, and to make the lens group have the characteristics of wide viewing angle and telecentric optical design.
此外,在本實施例中,由可知,第四透鏡L4和第五 透鏡L5組成之膠合透鏡發揮良好的短焦效果。又,在本揭示中,由可知,本實施例之鏡頭組具有優異的廣視角特性。又由CRA<1.07 degree可知,CRA的數值相較於其他實施例為最小,也就是說,第三實施例之透鏡組相較於其他實施例最接近遠心光學設計,即透鏡組可顯示出亮度與色彩均勻性較佳的圖像。 In addition, in this embodiment, by It can be seen that the cemented lens composed of the fourth lens L4 and the fifth lens L5 exerts a good short-focus effect. Also, in this disclosure, by It can be seen that the lens set of this embodiment has excellent wide viewing angle characteristics. It can also be seen from CRA<1.07 degree that the value of CRA is the smallest compared to other embodiments. That is to say, the lens group of the third embodiment is closest to the telecentric optical design compared to other embodiments, that is, the lens group can display brightness Images with better color uniformity.
請參照第4A和4B圖,其分別為本發明第三實施例的鏡頭組30的調變轉換函數圖和橫向色差圖。在第4A圖中,此為零對稱系統,且在圖式中僅顯示調變轉換函數之數值為正的部分,而未顯示數值為負的部分。應當注意的是,調變轉換函數之數值(縱軸)越高表示解像效果越好。由第4A圖可見,本實施例的透鏡組30對波長範圍介於0.4861μm至0.6563μm的光線,分別於子午方向與弧矢方向,視場高度分別為0.0000mm、1.0000mm、2.0000mm、3.0000mm、4.0000mm、5.1800mm,空間頻率介於0 1p/mm至92.6 1p/mm的調變轉換函數值介於0.6至1.0之間。又,在第4B圖中,左右兩側的線圖為系統模擬計算出的範圍(-2.5μm至2.5μm),以及橫軸表示平面顏色分離的狀況。由第4B圖可見,本實施例的透鏡組30以波長0.587562μm為參考波長,對波長為0.5000μm、0.4850μm等光線於視場高度介於0mm至6mm之間所產生的橫向色差值介於-2.5μm至2.5μm之間。顯然地,本實施例的透鏡組30的橫向色差能被有效地修正,且影像分辨率與能滿足要求從而得到較佳地光學性能。
Please refer to FIGS. 4A and 4B, which are respectively a modulation transfer function diagram and a lateral chromatic aberration diagram of the
綜上所述,本揭示採用前置光圈鏡頭並搭配具有負屈光力的第一透鏡,而非採用先前技術的正屈光力的透鏡,進而可獲得較佳地解像效果。再者,本揭示提供由第四透鏡與第五透鏡構成的複合透鏡以作為遠心光程系統之 整型,進而能有效地縮短鏡頭組之整體長度,以達到短焦之效果,如此可實現鏡頭組小型化之目的。此外,本揭示的透鏡組符合公式:1.21.5,藉此設計能實現透鏡組具有廣視角之特性。以及,本揭示的透鏡組符合公式:CRA1.4 degree,藉此設計能實現透鏡組具有遠心光學設計之特性,即透鏡組可顯示出亮度與色彩均勻性較佳的圖像。 In summary, the present disclosure uses a front aperture lens with a first lens with negative refractive power, instead of using the prior art lens with positive refractive power, so that a better resolution effect can be obtained. Furthermore, the present disclosure provides a compound lens composed of a fourth lens and a fifth lens as the integral type of the telecentric optical path system, which can effectively shorten the overall length of the lens group to achieve the effect of short focal length, so that the lens can be realized The purpose of group miniaturization. In addition, the lens group of the present disclosure conforms to the formula: 1.2 1.5. With this design, the lens group has the characteristics of wide viewing angle. And, the lens group of the present disclosure complies with the formula: CRA 1.4 degree, the design can realize the characteristics of the lens group with telecentric optical design, that is, the lens group can display images with better brightness and color uniformity.
以上僅是本揭示的實施方式,應當指出,對於所屬領域技術人員,在不脫離本揭示原理的前提下,還可以做出若干改進和潤飾,這些改進和潤飾也應視為本揭示的保護範圍。 The above are only the embodiments of this disclosure. It should be pointed out that for those skilled in the art, without departing from the principles of this disclosure, several improvements and modifications can be made, and these improvements and modifications should also be regarded as the scope of protection of this disclosure. .
10、20、30‧‧‧透鏡組 10, 20, 30‧‧‧lens group
L1‧‧‧第一透鏡 L1‧‧‧First lens
L2‧‧‧第二透鏡 L2‧‧‧Second lens
L3‧‧‧第三透鏡 L3‧‧‧Third lens
L4‧‧‧第四透鏡 L4‧‧‧Fourth lens
L5‧‧‧第五透鏡 L5‧‧‧Fifth lens
I1‧‧‧第一無屈光力介質 I1‧‧‧The first non-refractive medium
I2‧‧‧第二無屈光力介質 I2‧‧‧The second non-refractive medium
31‧‧‧黏膠層 31‧‧‧Adhesive layer
ST‧‧‧光圈 ST‧‧‧Aperture
OA‧‧‧光軸 OA‧‧‧Optical axis
OF‧‧‧濾光片 OF‧‧‧Filter
IMA‧‧‧成像平面 IMA‧‧‧imaging plane
S01、S03~S18、STO‧‧‧表面 S01, S03~S18, STO‧‧‧Surface
Claims (11)
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
TW107102553A TWI732988B (en) | 2018-01-24 | 2018-01-24 | Lens assembly |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
TW107102553A TWI732988B (en) | 2018-01-24 | 2018-01-24 | Lens assembly |
Publications (2)
Publication Number | Publication Date |
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TW201932897A TW201932897A (en) | 2019-08-16 |
TWI732988B true TWI732988B (en) | 2021-07-11 |
Family
ID=68316017
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
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TW107102553A TWI732988B (en) | 2018-01-24 | 2018-01-24 | Lens assembly |
Country Status (1)
Country | Link |
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TW (1) | TWI732988B (en) |
Citations (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
TW201241498A (en) * | 2011-04-12 | 2012-10-16 | Ability Entpr Co Ltd | Optical zoom lens |
US20170146774A1 (en) * | 2015-11-20 | 2017-05-25 | Largan Precision Co., Ltd. | Imaging Optical Lens Assembly, Image Capturing Apparatus and Electronic Device |
CN206657133U (en) * | 2017-05-04 | 2017-11-21 | 威海嘉瑞光电科技股份有限公司 | A kind of smart home wide-angle lens system |
-
2018
- 2018-01-24 TW TW107102553A patent/TWI732988B/en active
Patent Citations (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
TW201241498A (en) * | 2011-04-12 | 2012-10-16 | Ability Entpr Co Ltd | Optical zoom lens |
US20170146774A1 (en) * | 2015-11-20 | 2017-05-25 | Largan Precision Co., Ltd. | Imaging Optical Lens Assembly, Image Capturing Apparatus and Electronic Device |
CN206657133U (en) * | 2017-05-04 | 2017-11-21 | 威海嘉瑞光电科技股份有限公司 | A kind of smart home wide-angle lens system |
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TW201932897A (en) | 2019-08-16 |
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