TW201901217A - Eyepiece optical system - Google Patents

Eyepiece optical system Download PDF

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Publication number
TW201901217A
TW201901217A TW107125539A TW107125539A TW201901217A TW 201901217 A TW201901217 A TW 201901217A TW 107125539 A TW107125539 A TW 107125539A TW 107125539 A TW107125539 A TW 107125539A TW 201901217 A TW201901217 A TW 201901217A
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Taiwan
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lens
optical system
eyepiece optical
optical axis
eyepiece
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TW107125539A
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Chinese (zh)
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TWI769282B (en
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黃峻洋
陳婉君
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玉晶光電股份有限公司
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    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B25/00Eyepieces; Magnifying glasses
    • G02B25/001Eyepieces
    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B25/00Eyepieces; Magnifying glasses
    • G02B25/04Eyepieces; Magnifying glasses affording a wide-angle view, e.g. through a spy-hole

Abstract

An ocular optical system configured to allow imaging rays from a display image to enter an observer's eye through the ocular optical system so as to form an image is provided. A direction toward the eye is an eye side, and a direction toward the display image is a display side. The ocular optical system includes a first lens element, a second lens element, and a third lens element arranged along an optical axis in sequence from the eye side to the display side. Each of the first to third lens elements has an eye-side surface and a display-side surface. An optical axis region of the eye-side surface of the first lens element is convex, a periphery region of the eye-side surface of the second lens element is convex, and a periphery region of the eye-side surface of the third lens element is concave.

Description

目鏡光學系統Eyepiece optical system

本發明是有關於一種光學系統,且特別是有關於一種目鏡光學系統。The present invention relates to an optical system, and particularly to an eyepiece optical system.

虛擬實境(virtual reality, VR)是利用電腦技術模擬產生一個三維空間的虛擬世界,提供使用者關於視覺、聽覺等感官模擬,讓使用者感覺身歷其境。目前現有的VR裝置都是以視覺體驗為主。藉由對應左右眼的兩個視角略有差異的分割畫面來模擬人眼的視差,以達到立體視覺。為了縮小虛擬實境裝置的體積,讓使用者藉由較小的顯示畫面得到放大的視覺感受,具有放大功能的目鏡光學系統成了VR研究發展的其中一個主題。Virtual reality (VR) is the use of computer technology to generate a virtual world in a three-dimensional space, providing users with sensory simulations of vision, hearing, etc., so that users can feel personally in the world. At present, the existing VR devices are mainly based on visual experience. The stereoscopic vision is achieved by simulating the parallax of the human eye by splitting the pictures corresponding to the two different angles of view of the left and right eyes. In order to reduce the size of the virtual reality device and allow users to get a magnified visual experience through the smaller display screen, the eyepiece optical system with magnification function has become one of the topics of VR research and development.

現有的目鏡光學系統之半眼視視角較小,讓觀察者感到視覺狹窄、解析度低且像差嚴重到顯示畫面要先進行像差補償,另外,色差明顯亦難以滿足使用者的需求。因此,如何增加半眼視視角並加強成像品質是目鏡光學系統一個需要改善的問題。The existing half-eye viewing angle of the eyepiece optical system is small, which makes the viewer feel narrow vision, low resolution, and severe aberrations so that the display screen must be compensated for aberrations. In addition, the chromatic aberration is obviously difficult to meet the needs of users. Therefore, how to increase the half-eye viewing angle and enhance the imaging quality is a problem that needs to be improved in the eyepiece optical system.

本發明提供一種目鏡光學系統,其可有效增加半眼視視角,並加強成像品質。The invention provides an eyepiece optical system, which can effectively increase the half-eye viewing angle and enhance the imaging quality.

本發明的一實施例提出一種目鏡光學系統,用於使成像光線從顯示畫面經目鏡光學系統進入觀察者的眼睛而成像。朝向眼睛的方向為目側,朝向顯示畫面的方向為顯示側。目鏡光學系統從目側至顯示側沿一光軸依序包括一第一透鏡、一第二透鏡及一第三透鏡。第一透鏡至第三透鏡各自具有朝向目側且使成像光線通過的一目側面及朝向顯示側且使成像光線通過的一顯示側面。第一透鏡的目側面的一光軸區域為凸面,第二透鏡的目側面的一圓周區域為凸面,且第三透鏡的目側面的一圓周區域為凹面。目鏡光學系統符合:TL/G3D≦4.600;以及0.800≦G3D/(T1+AAG),其中TL為第一透鏡的目側面到第三透鏡的顯示側面在光軸上的一距離,G3D為第三透鏡到顯示畫面在光軸上的一距離,T1為第一透鏡在光軸上的一厚度,且AAG為第一透鏡至第三透鏡在光軸上的三個空氣間隙的總和。目鏡光學系統中具有屈光率的透鏡只有第一透鏡、第二透鏡及第三透鏡。An embodiment of the present invention proposes an eyepiece optical system for imaging light rays from a display screen to enter the eye of an observer through the eyepiece optical system for imaging. The direction toward the eyes is the eye side, and the direction toward the display screen is the display side. The eyepiece optical system includes a first lens, a second lens, and a third lens in sequence along an optical axis from the eye side to the display side. The first lens to the third lens each have a mesh side facing the eye side and passing the imaging light, and a display side facing the display side and passing the imaging light. An optical axis area of the eye side of the first lens is convex, a circumferential area of the eye side of the second lens is convex, and a circumferential area of the eye side of the third lens is concave. The eyepiece optical system conforms to: TL/G3D≦4.600; and 0.800≦G3D/(T1+AAG), where TL is a distance on the optical axis from the eye side of the first lens to the display side of the third lens, and G3D is the third A distance from the lens to the display screen on the optical axis, T1 is a thickness of the first lens on the optical axis, and AAG is the sum of the three air gaps of the first lens to the third lens on the optical axis. The lenses with refractive power in the eyepiece optical system include only the first lens, the second lens, and the third lens.

基於上述,由於本發明的實施例的目鏡光學系統的第一透鏡的目側面的一光軸區域為凸面,第二透鏡的目側面的一圓周區域為凸面,且第三透鏡的目側面的一圓周區域為凹面,因此可有效增加目鏡光學系統的半眼視視角,且可加強目鏡光學系統的成像品質。Based on the above, since an optical axis region of the eye side of the first lens of the eyepiece optical system of the embodiment of the present invention is convex, a circumferential region of the eye side of the second lens is convex, and a The circumferential area is concave, so the half-eye viewing angle of the eyepiece optical system can be effectively increased, and the imaging quality of the eyepiece optical system can be enhanced.

為讓本發明的上述特徵和優點能更明顯易懂,下文特舉實施例,並配合所附圖式作詳細說明如下。In order to make the above-mentioned features and advantages of the present invention more obvious and understandable, the embodiments are specifically described below in conjunction with the accompanying drawings for detailed description as follows.

一般而言,目鏡光學系統V100的光線方向為一成像光線VI由顯示畫面V50射出,經由目鏡光學系統V100進入眼睛V60,於眼睛V60的視網膜聚焦成像並且於虛像距離VD產生一放大虛像VV,如圖1所示。在以下說明本案之光學規格的判斷準則是假設光線方向逆追跡(reversely tracking)為一平行成像光線由目側經過目鏡光學系統到顯示畫面聚焦成像。Generally speaking, the light direction of the eyepiece optical system V100 is an imaging light VI exiting the display screen V50, enters the eye V60 through the eyepiece optical system V100, focuses on the retina of the eye V60, and produces an enlarged virtual image VV at the virtual image distance VD, such as Figure 1. The judgment criterion for explaining the optical specifications of the case below is to assume that the direction of the light rays is reversely tracking (reversely tracking) as a parallel imaging ray from the eye side through the eyepiece optical system to the focused image of the display screen.

本說明書之光學系統包含至少一透鏡,接收入射光學系統之平行於光軸至相對光軸呈半眼視視角(ω)角度內的成像光線。成像光線通過光學系統於顯示畫面上成像。所言之「一透鏡具有正屈光率(或負屈光率)」,是指所述透鏡以高斯光學理論計算出來之近軸屈光率為正(或為負)。所言之「透鏡之目側面(或顯示側面)」定義為成像光線通過透鏡表面的特定範圍。成像光線包括至少兩類光線:主光線(chief ray)Lc及邊緣光線(marginal ray)Lm(如圖2所示)。透鏡之目側面(或顯示側面)可依不同位置區分為不同區域,包含光軸區域、圓周區域、或在部分實施例中的一個或多個中繼區域,該些區域的說明將於下方詳細闡述。The optical system in this specification includes at least one lens that receives imaging light from the incident optical system parallel to the optical axis to a half-eye viewing angle (ω) relative to the optical axis. The imaging light is imaged on the display screen through the optical system. The term "a lens has positive refractive power (or negative refractive power)" means that the paraxial refractive power of the lens calculated by Gaussian optical theory is positive (or negative). The "eye side (or display side) of the lens" is defined as the specific range of imaging light passing through the lens surface. The imaging rays include at least two types of rays: chief ray Lc and marginal ray Lm (as shown in FIG. 2). The eye side (or display side) of the lens can be divided into different areas according to different positions, including the optical axis area, the circumferential area, or one or more relay areas in some embodiments, the description of these areas will be detailed below set forth.

圖2為透鏡100的徑向剖視圖。定義透鏡100表面上的二參考點:中心點及轉換點。透鏡表面的中心點為該表面與光軸I的一交點。如圖2所例示,第一中心點CP1位於透鏡100的目側面110,第二中心點CP2位於透鏡100的顯示側面120。轉換點是位於透鏡表面上的一點,且該點的切線與光軸I垂直。定義透鏡表面之光學邊界OB為通過該透鏡表面徑向最外側的邊緣光線Lm與該透鏡表面相交的一點。所有的轉換點皆位於光軸I與透鏡表面之光學邊界OB之間。除此之外,若單一透鏡表面有複數個轉換點,則該些轉換點由徑向向外的方向依序自第一轉換點開始命名。例如,第一轉換點TP1(最靠近光軸I)、第二轉換點TP2(如圖5所示)及第N轉換點(距離光軸I最遠)。FIG. 2 is a radial cross-sectional view of the lens 100. Two reference points on the surface of the lens 100 are defined: the center point and the conversion point. The center point of the lens surface is an intersection point of the surface and the optical axis I. As illustrated in FIG. 2, the first center point CP1 is located on the eye side 110 of the lens 100, and the second center point CP2 is located on the display side 120 of the lens 100. The conversion point is a point on the lens surface, and the tangent to this point is perpendicular to the optical axis I. The optical boundary OB of the lens surface is defined as a point where the edge light ray Lm passing through the lens surface in the radial direction intersects the lens surface. All conversion points are located between the optical axis I and the optical boundary OB of the lens surface. In addition, if there are a plurality of conversion points on the surface of a single lens, the conversion points are named sequentially from the first conversion point in the radial outward direction. For example, the first conversion point TP1 (closest to the optical axis I), the second conversion point TP2 (as shown in FIG. 5), and the Nth conversion point (farthest from the optical axis I).

定義從中心點至第一轉換點TP1的範圍為光軸區域,其中,該光軸區域包含中心點。定義距離光軸I最遠的第N轉換點徑向向外至光學邊界OB的區域為圓周區域。在部分實施例中,可另包含介於光軸區域與圓周區域之間的中繼區域,中繼區域的數量取決於轉換點的數量。The range from the center point to the first conversion point TP1 is defined as the optical axis area, where the optical axis area includes the center point. The area where the Nth conversion point farthest from the optical axis I is radially outward to the optical boundary OB is defined as a circumferential area. In some embodiments, a relay region between the optical axis region and the circumferential region may be included. The number of relay regions depends on the number of conversion points.

當平行光軸I之光線通過一區域後,若光線朝光軸I偏折且與光軸I的交點位在透鏡顯示側A2,則該區域為凸面。當平行光軸I之光線通過一區域後,若光線的延伸線與光軸I的交點位在透鏡目側A1,則該區域為凹面。After the light of the parallel optical axis I passes through an area, if the light is deflected toward the optical axis I and the intersection with the optical axis I is on the lens display side A2, the area is convex. After the rays of the parallel optical axis I pass through an area, if the intersection of the extension line of the light and the optical axis I is on the lens side A1, the area is concave.

除此之外,參見圖2,透鏡100還可包含一由光學邊界OB徑向向外延伸的組裝部130。組裝部130一般來說用以供該透鏡100組裝於光學系統之一相對應元件(圖未示)。成像光線並不會到達該組裝部130。組裝部130之結構與形狀僅為說明本發明之示例,不以此限制本發明的範圍。下列討論之透鏡的組裝部130可能會在圖式中被部分或全部省略。In addition, referring to FIG. 2, the lens 100 may further include an assembly portion 130 extending radially outward from the optical boundary OB. The assembly part 130 is generally used for assembling the lens 100 to a corresponding element (not shown) of an optical system. The imaging light does not reach the assembly part 130. The structure and shape of the assembling part 130 are only examples for explaining the present invention, and do not limit the scope of the present invention. The lens assembly 130 discussed below may be partially or completely omitted in the drawings.

參見圖3,定義中心點CP與第一轉換點TP1之間為光軸區域Z1。定義第一轉換點TP1與透鏡表面的光學邊界OB之間為圓周區域Z2。如圖3所示,平行光線211在通過光軸區域Z1後與光軸I在透鏡200的顯示側A2相交,即平行光線211通過光軸區域Z1的焦點位於透鏡200顯示側A2的R點。由於光線與光軸I相交於透鏡200顯示側A2,故光軸區域Z1為凸面。反之,平行光線212在通過圓周區域Z2後發散。如圖3所示,平行光線212通過圓周區域Z2後的延伸線EL與光軸I在透鏡200的目側A1相交,即平行光線212通過圓周區域Z2的焦點位於透鏡200目側A1的M點。由於光線的延伸線EL與光軸I相交於透鏡200目側A1,故圓周區域Z2為凹面。於圖3所示的透鏡200中,第一轉換點TP1是光軸區域與圓周區域的分界,即第一轉換點TP1為凸面轉凹面的分界點。Referring to FIG. 3, an optical axis region Z1 is defined between the center point CP and the first conversion point TP1. A circular zone Z2 is defined between the first conversion point TP1 and the optical boundary OB of the lens surface. As shown in FIG. 3, the parallel ray 211 intersects the optical axis I on the display side A2 of the lens 200 after passing through the optical axis region Z1, that is, the focal point of the parallel ray 211 passing through the optical axis region Z1 is located at the point R of the display side A2 of the lens 200. Since the light rays intersect the optical axis I on the display side A2 of the lens 200, the optical axis region Z1 is a convex surface. Conversely, the parallel rays 212 diverge after passing through the circumferential zone Z2. As shown in FIG. 3, the extension line EL after the parallel ray 212 passes through the circumferential area Z2 intersects the optical axis I on the eye side A1 of the lens 200, that is, the focal point of the parallel ray 212 through the circumferential area Z2 is located at the point M on the eye side A1 of the lens 200 . Since the extension line EL of the light rays intersects the optical axis I on the eye side A1 of the lens 200, the circumferential region Z2 is concave. In the lens 200 shown in FIG. 3, the first conversion point TP1 is the boundary between the optical axis region and the circumferential region, that is, the first conversion point TP1 is the boundary between the convex surface and the concave surface.

另一方面,光軸區域的面形凹凸判斷還可依該領域中通常知識者的判斷方式,即藉由近軸的曲率半徑(簡寫為R值)的正負號來判斷透鏡之光軸區域面形的凹凸。R值可常見被使用於光學設計軟體中,例如Zemax或CodeV。R值亦常見於光學設計軟體的透鏡資料表(lens data sheet)中。以目側面來說,當R值為正時,判定為目側面的光軸區域為凸面;當R值為負時,判定目側面的光軸區域為凹面。反之,以顯示側面來說,當R值為正時,判定顯示側面的光軸區域為凹面;當R值為負時,判定顯示側面的光軸區域為凸面。此方法判定的結果與前述藉由光線/光線延伸線與光軸的交點判定方式的結果一致,光線/光線延伸線與光軸交點的判定方式即為以一平行光軸之光線的焦點位於透鏡之目側或顯示側來判斷面形凹凸。本說明書所描述之「一區域為凸面(或凹面)」、「一區域為凸(或凹)」或「一凸面(或凹面)區域」可被替換使用。On the other hand, the judgment of the surface shape unevenness of the optical axis area can also be determined according to the judgment method of the ordinary knowledge in the field, that is, the optical axis area surface of the lens is judged by the sign of the paraxial curvature radius (abbreviated as R value) Shaped bumps. The R value can be commonly used in optical design software, such as Zemax or CodeV. The R value is also commonly found in lens data sheets of optical design software. For the eye surface, when the R value is positive, the optical axis area of the eye surface is determined to be convex; when the R value is negative, the optical axis area of the eye surface is determined to be concave. Conversely, regarding the display side, when the R value is positive, the optical axis region of the display side is determined to be concave; when the R value is negative, the optical axis region of the display side is determined to be convex. The result of this method is consistent with the result of the above method of determining the intersection point of the light/ray extension line and the optical axis. The method of determining the intersection point of the light/ray extension line and the optical axis is that the focus of the light with a parallel optical axis is located on the lens The surface side or the display side is used to judge the surface unevenness. The "one area is convex (or concave)", "one area is convex (or concave)" or "one convex (or concave) area" described in this manual can be used instead.

圖4至圖6提供了在各個情況下判斷透鏡區域的面形及區域分界的範例,包含前述之光軸區域、圓周區域及中繼區域。4 to 6 provide examples of judging the shape and boundary of the lens area in each case, including the aforementioned optical axis area, circumferential area, and relay area.

圖4為透鏡300的徑向剖視圖。參見圖4,透鏡300的顯示側面320在光學邊界OB內僅存在一個轉換點TP1。透鏡300的顯示側面320的光軸區域Z1及圓周區域Z2如圖4所示。此顯示側面320的R值為正(即R>0),因此,光軸區域Z1為凹面。FIG. 4 is a radial cross-sectional view of the lens 300. Referring to FIG. 4, the display side 320 of the lens 300 has only one transition point TP1 within the optical boundary OB. The optical axis region Z1 and the circumferential region Z2 of the display side surface 320 of the lens 300 are shown in FIG. 4. The R value of the display side surface 320 is positive (that is, R>0), therefore, the optical axis region Z1 is concave.

一般來說,以轉換點為界的各個區域面形會與相鄰的區域面形相反,因此,可用轉換點來界定面形的轉變,即自轉換點由凹面轉凸面或由凸面轉凹面。於圖4中,由於光軸區域Z1為凹面,面形於轉換點TP1轉變,故圓周區域Z2為凸面。In general, the area shape of each area bounded by the conversion point will be opposite to that of the adjacent area. Therefore, the conversion point can be used to define the change of the surface shape, that is, from the conversion point from a concave surface to a convex surface or from a convex surface to a concave surface. In FIG. 4, since the optical axis region Z1 is a concave surface and the surface shape changes at the switching point TP1, the circumferential region Z2 is a convex surface.

圖5為透鏡400的徑向剖視圖。參見圖5,透鏡400的目側面410存在一第一轉換點TP1及一第二轉換點TP2。定義光軸I與第一轉換點TP1之間為目側面410的光軸區域Z1。此目側面410的R值為正(即R>0),因此,光軸區域Z1為凸面。FIG. 5 is a radial cross-sectional view of the lens 400. Referring to FIG. 5, there is a first conversion point TP1 and a second conversion point TP2 on the eye side 410 of the lens 400. The optical axis region Z1 of the mesh side 410 is defined between the optical axis I and the first conversion point TP1. The R value of this mesh side surface 410 is positive (that is, R>0), therefore, the optical axis region Z1 is a convex surface.

定義第二轉換點TP2與透鏡400的目側面410的光學邊界OB之間為圓周區域Z2,該目側面410的該圓周區域Z2亦為凸面。除此之外,定義第一轉換點TP1與第二轉換點TP2之間為中繼區域Z3,該目側面410的該中繼區域Z3為凹面。再次參見圖5,目側面410由光軸I徑向向外依序包含光軸I與第一轉換點TP1之間的光軸區域Z1、位於第一轉換點TP1與第二轉換點TP2之間的中繼區域Z3,及第二轉換點TP2與透鏡400的目側面410的光學邊界OB之間的圓周區域Z2。由於光軸區域Z1為凸面,面形自第一轉換點TP1轉變為凹,故中繼區域Z3為凹面,又面形自第二轉換點TP2再轉變為凸,故圓周區域Z2為凸面。A circumferential region Z2 is defined between the second conversion point TP2 and the optical boundary OB of the eye side surface 410 of the lens 400, and the circumferential region Z2 of the eye side surface 410 is also a convex surface. In addition, the relay zone Z3 is defined between the first transition point TP1 and the second transition point TP2, and the relay zone Z3 of the mesh side 410 is a concave surface. Referring again to FIG. 5, the mesh side 410 sequentially includes the optical axis region Z1 between the optical axis I and the first conversion point TP1 radially outward from the optical axis I, and is located between the first conversion point TP1 and the second conversion point TP2 Relay zone Z3, and the circumferential zone Z2 between the second transition point TP2 and the optical boundary OB of the eye side 410 of the lens 400. Since the optical axis region Z1 is a convex surface, the surface shape changes from the first conversion point TP1 to a concave surface, so the relay region Z3 is a concave surface, and the surface shape changes from the second conversion point TP2 to a convex surface, so the circumferential region Z2 is a convex surface.

圖6為透鏡500的徑向剖視圖。透鏡500的目側面510無轉換點。對於無轉換點的透鏡表面,例如透鏡500的目側面510,定義自光軸I起算至透鏡表面光學邊界OB之間距離的0~50%為光軸區域,自光軸I起算至透鏡表面光學邊界OB之間距離的50~100%為圓周區域。參見圖6所示之透鏡500,定義光軸I至自光軸I起算到透鏡500表面光學邊界OB之間距離的50%為目側面510的光軸區域Z1。此目側面510的R值為正(即R>0),因此,光軸區域Z1為凸面。由於透鏡500的目側面510無轉換點,因此目側面510的圓周區域Z2亦為凸面。透鏡500更可具有組裝部(圖未示)自圓周區域Z2徑向向外延伸。6 is a radial cross-sectional view of the lens 500. FIG. The eye side 510 of the lens 500 has no switching point. For a lens surface without a conversion point, for example, the eye side 510 of the lens 500, define 0-50% of the distance from the optical axis I to the optical boundary OB of the lens surface as the optical axis region, and from the optical axis I to the lens surface optics 50 to 100% of the distance between the boundaries OB is the circumferential area. Referring to the lens 500 shown in FIG. 6, 50% of the distance from the optical axis I to the optical boundary OB of the surface of the lens 500 from the optical axis I is defined as the optical axis region Z1 of the eye side 510. The R value of the side surface 510 is positive (that is, R>0), therefore, the optical axis region Z1 is convex. Since the eye side 510 of the lens 500 has no switching point, the circumferential area Z2 of the eye side 510 is also convex. The lens 500 may further have an assembly portion (not shown) extending radially outward from the circumferential zone Z2.

圖7為本發明之第一實施例之目鏡光學系統的示意圖,而圖8A至圖8D為第一實施例之目鏡光學系統的縱向球差與各項像差圖。請先參照圖7,本發明的第一實施例之目鏡光學系統10用於使顯示畫面99的成像光線經由目鏡光學系統10及觀察者的眼睛的瞳孔0進入觀察者的眼睛而成像,顯示畫面可為垂直光軸,也可為與光軸夾一不等於90度的角度。目側A1是朝向觀察者的眼睛的方向的一側,而顯示側A2是朝向顯示畫面99的方向的一側。在本實施例中,目鏡光學系統10從目側A1至顯示側A2沿一光軸I依序包括一第一透鏡1、一第二透鏡2及一第三透鏡3。當顯示畫面99的成像光線發出後,會依序通過第三透鏡3、第二透鏡2及第一透鏡1,然後經由觀察者的瞳孔0進入觀察者的眼睛。接著,成像光線會在觀察者的眼睛的視網膜形成一影像。具體而言,目鏡光學系統10的第一透鏡1至第三透鏡3各自具有朝向目側A1且使成像光線通過的目側面15、25、35及朝向顯示側A2且使成像光線通過的顯示側面16、26、36。7 is a schematic diagram of an eyepiece optical system of a first embodiment of the present invention, and FIGS. 8A to 8D are longitudinal spherical aberration and various aberration diagrams of the eyepiece optical system of the first embodiment. Please refer to FIG. 7 first, the eyepiece optical system 10 of the first embodiment of the present invention is used to make the imaging light of the display screen 99 enter the observer’s eye through the eyepiece optical system 10 and the pupil 0 of the observer’s eye to form an image, and display the screen It can be perpendicular to the optical axis or an angle not equal to 90 degrees with the optical axis. The eye side A1 is the side facing the direction of the observer's eyes, and the display side A2 is the side facing the direction of the display screen 99. In the present embodiment, the eyepiece optical system 10 includes a first lens 1, a second lens 2 and a third lens 3 in sequence along an optical axis I from the eye side A1 to the display side A2. When the imaging light of the display screen 99 is emitted, it will pass through the third lens 3, the second lens 2 and the first lens 1 in sequence, and then enter the eyes of the observer through the pupil 0 of the observer. Then, the imaging light will form an image on the retina of the observer's eye. Specifically, the first lens 1 to the third lens 3 of the eyepiece optical system 10 each have an eye side 15, 25, 35 that faces the eye side A1 and passes the imaging light, and a display side that faces the display side A2 and passes the imaging light 16, 26, 36.

此外,為了滿足產品輕量化的需求,第一透鏡1、第二透鏡2及第三透鏡3皆具備屈光率且由塑膠材質所製成,但第一透鏡1、第二透鏡2及第三透鏡3的材質不以此為限。在本實施例中,目鏡光學系統10中具有屈光率的透鏡只有第一透鏡1、第二透鏡2及第三透鏡3。In addition, in order to meet the demand for lightweight products, the first lens 1, the second lens 2 and the third lens 3 all have refractive power and are made of plastic materials, but the first lens 1, the second lens 2 and the third The material of the lens 3 is not limited to this. In the present embodiment, the lenses with refractive power in the eyepiece optical system 10 are only the first lens 1, the second lens 2, and the third lens 3.

第一透鏡1具有正屈光率。第一透鏡1的目側面15的光軸區域151為凸面,且其圓周區域153為凸面。第一透鏡1的顯示側面16的光軸區域161為凸面,且其圓周區域163為凸面。第二透鏡2具有正屈光率。第二透鏡2的目側面25的光軸區域251為凸面,且其圓周區域253為凸面。在本實施例中,第二透鏡2的顯示側面26為菲涅耳表面(Fresnel surface)265,即菲涅耳透鏡的表面。菲涅耳透鏡的表面具有多個同心環形齒,其圍繞一中央凸面,每一環形齒具有能夠將入射光折射至預定方向的有效子面以及連接相鄰兩有效子面的無效子面。此外,中央凸面亦能將入射光折射至預定方向。第二透鏡2的顯示側面26的光軸區域261為凸面,且其圓周區域263為凸面。第三透鏡3具有負屈光率,第三透鏡3的目側面35的光軸區域352為凹面,且其圓周區域354為凹面。第三透鏡3的顯示側面36的光軸區域362為凹面,且其圓周區域363為凸面。The first lens 1 has a positive refractive power. The optical axis region 151 of the eye side surface 15 of the first lens 1 is a convex surface, and the circumferential region 153 thereof is a convex surface. The optical axis region 161 of the display side surface 16 of the first lens 1 is convex, and its circumferential region 163 is convex. The second lens 2 has a positive refractive power. The optical axis region 251 of the eye side surface 25 of the second lens 2 is convex, and its circumferential region 253 is convex. In this embodiment, the display side 26 of the second lens 2 is a Fresnel surface (Fresnel surface) 265, that is, the surface of the Fresnel lens. The surface of the Fresnel lens has a plurality of concentric ring-shaped teeth, which surround a central convex surface, and each ring-shaped tooth has an effective sub-surface capable of refracting incident light to a predetermined direction and an ineffective sub-surface connecting two adjacent effective sub-surfaces. In addition, the central convex surface can also refract incident light to a predetermined direction. The optical axis region 261 of the display side surface 26 of the second lens 2 is convex, and its circumferential region 263 is convex. The third lens 3 has a negative refractive power, the optical axis region 352 of the eye side 35 of the third lens 3 is concave, and the circumferential region 354 thereof is concave. The optical axis region 362 of the display side surface 36 of the third lens 3 is concave, and its circumferential region 363 is convex.

第一實施例的其他詳細光學數據如圖9所示。第一實施例的目鏡光學系統10的整體系統焦距(effective focal length, EFL)為34.853 毫米(millimeter, mm),半眼視視角(half apparent field of view, ω)為45.012∘,而光圈值(f-number, Fno)為6.971。具體而言,本說明書中的「光圈值」是根據光的可逆性原理,將觀察者的瞳孔0視為入射光瞳所計算而得的光圈值。此外,第一實施例的目鏡光學系統10的觀察者的單眼之最大視角所對應之顯示畫面99的顯示像圓之直徑(image circle diameter, ICD)為49.5 mm,其中顯示像圓即為觀察者單眼透過目鏡光學系統10可視之最大顯示畫面範圍,且第一實施例的目鏡光學系統10的鏡頭總長(total track length, TTL)為41.200 mm,其中TTL為第一透鏡1的目側面15到顯示畫面99在光軸I上的距離。另外,圖9中的有效半徑是指光學有效直徑(clear aperture)的一半。The other detailed optical data of the first embodiment is shown in FIG. 9. The overall focal length (EFL) of the eyepiece optical system 10 of the first embodiment is 34.853 millimeters (millimeter, mm), the half apparent field of view (ω) is 45.012∘, and the aperture value (f -number, Fno) is 6.971. Specifically, the "aperture value" in this specification is an aperture value calculated by considering the pupil 0 of the observer as the entrance pupil based on the principle of light reversibility. In addition, the display circle 99 (image circle diameter, ICD) corresponding to the maximum single-eye viewing angle of the observer of the eyepiece optical system 10 of the first embodiment is 49.5 mm, where the display image circle is the observer The maximum display frame range that can be seen through the eyepiece optical system 10 for a single eye, and the total track length (TTL) of the eyepiece optical system 10 of the first embodiment is 41.200 mm, where TTL is the eye side 15 of the first lens 1 to the display The distance of the picture 99 on the optical axis I. In addition, the effective radius in FIG. 9 means half of the optical effective diameter (clear aperture).

在本實施例中,目側面15、25及35是非球面,顯示側面16及36是非球面,且顯示側面26為菲涅耳表面265,其中此菲涅耳表面265的每個環形齒的有效子面及中央凸面為非球面,而以下顯示側面26的非球面係數是用來表示菲涅耳表面265的這些環形齒的有效子面及中央凸面,且這些非球面是依下列公式定義: -----------(1) 其中: Y:非球面曲線上的點與光軸I的垂直距離; Z:非球面之深度(非球面上距離光軸I為Y的點,與相切於非球面光軸I上頂點之切面,兩者間的垂直距離); R:透鏡表面近光軸I處的曲率半徑; K:錐面係數(conic constant); ai :第i階非球面係數。In this embodiment, the mesh sides 15, 25, and 35 are aspherical, the sides 16 and 36 are shown to be aspherical, and the side 26 is shown to be a Fresnel surface 265, where the effective element of each ring tooth of the Fresnel surface 265 is The surface and the central convex surface are aspherical, and the following shows that the aspherical coefficient of the side surface 26 is used to represent the effective sub-surface and the central convex surface of the ring teeth of the Fresnel surface 265, and these aspherical surfaces are defined according to the following formulas: -----------(1) where: Y: the vertical distance between the point on the aspheric curve and the optical axis I; Z: the depth of the aspheric surface (the point on the aspheric surface from the optical axis I is Y , And the tangent plane tangent to the vertex on the aspheric optical axis I, the vertical distance between the two); R: radius of curvature of the lens surface near the optical axis I; K: conic constant; a i : The aspheric coefficient of order i.

目側面15、25、35與顯示側面16、26、36在公式(1)中的各項非球面係數如圖10所示。其中,圖10中欄位編號15表示其為第一透鏡1的目側面15的非球面係數,其它欄位依此類推。The aspherical surface coefficients in the formula (1) of the mesh sides 15, 25, 35 and the display sides 16, 26, 36 are shown in FIG. Wherein, the field number 15 in FIG. 10 indicates that it is the aspherical coefficient of the eye side 15 of the first lens 1, and the other fields are deduced by analogy.

另外,第一實施例之目鏡光學系統10中各重要參數間的關係如圖31所示。 其中, EFL為目鏡光學系統10的系統焦距,即目鏡光學系統10的有效焦距(effective focal length, EFL); ω為目鏡光學系統10的半眼視視角(half apparent field of view),即觀察者的一半視野角度,如圖1所繪示; T1為第一透鏡1在光軸I上的厚度; T2為第二透鏡2在光軸I上的厚度; T3為第三透鏡3在光軸I上的厚度; G12為第一透鏡1的顯示側面16到第二透鏡2的目側面25在光軸I上的距離,即第一透鏡1到第二透鏡2在光軸I上的空氣間隙; G23為第二透鏡2的顯示側面26到第三透鏡3的目側面35在光軸I上的距離,即第二透鏡2到第三透鏡3在光軸I上的空氣間隙; G3D為第三透鏡3的顯示側面36到顯示畫面99在光軸I上的距離; TTL為第一透鏡1的目側面15到顯示畫面99在光軸I上的距離; TL為第一透鏡1的目側面15到第三透鏡3的顯示側面36在光軸I上的距離; ER為出瞳距離(Eye relief),為觀察者的瞳孔0到第一透鏡1的目側面15在光軸I上的距離; SL為系統長度,為觀察者的瞳孔0到顯示畫面99在光軸I上的距離; EPD為目鏡光學系統10的出瞳直徑D1(Eye pupil diameter,如圖1所繪示),為對應於觀察者的瞳孔0的直徑,白天例如為3 mm,晚上例如可到7 mm,如圖1所繪示; ICD為觀察者的單眼之最大視角所對應之顯示畫面99的顯示像圓之直徑D2(Image circle diameter,如圖1所繪示); VD為虛像距離,即為放大虛像VV與觀察者的瞳孔0(即出瞳)的距離,如圖1所繪示之虛像距離VD,其中眼睛可以清楚聚焦的最近距離稱為明視距離,青年人的明視距離通常為250 mm; ALT為第一透鏡1至第三透鏡3在光軸I上的透鏡厚度的總和,即T1、T2與T3之和; AAG為第一透鏡1至第三透鏡3在光軸I上的二個空氣間隙的總和,即G12與G23之和; R1為第一透鏡1的目側面15的光學有效半徑(half of clear aperture); R2為第二透鏡2的目側面25的光學有效半徑; R3為第三透鏡3的目側面35的光學有效半徑; 另外,再定義: f1為第一透鏡1的焦距; f2為第二透鏡2的焦距; f3為第三透鏡3的焦距; n1為第一透鏡1的折射率; n2為第二透鏡2的折射率; n3為第三透鏡3的折射率; V1為第一透鏡1的阿貝數(Abbe number); V2為第二透鏡2的阿貝數; V3為第三透鏡3的阿貝數。In addition, the relationship between important parameters in the eyepiece optical system 10 of the first embodiment is shown in FIG. 31. Where EFL is the system focal length of the eyepiece optical system 10, that is, the effective focal length (EFL) of the eyepiece optical system 10; ω is the half apparent field of view of the eyepiece optical system 10, which is the observer’s Half field of view, as shown in Figure 1; T1 is the thickness of the first lens 1 on the optical axis I; T2 is the thickness of the second lens 2 on the optical axis I; T3 is the third lens 3 on the optical axis I G12 is the distance from the display side 16 of the first lens 1 to the eye side 25 of the second lens 2 on the optical axis I, that is, the air gap between the first lens 1 and the second lens 2 on the optical axis I; G23 Is the distance between the display side 26 of the second lens 2 and the eye side 35 of the third lens 3 on the optical axis I, that is, the air gap between the second lens 2 and the third lens 3 on the optical axis I; G3D is the third lens 3 is the distance from the display side 36 to the display screen 99 on the optical axis I; TTL is the distance from the eye side 15 of the first lens 1 to the display screen 99 on the optical axis I; TL is the eye side 15 of the first lens 1 to The distance of the display side 36 of the third lens 3 on the optical axis I; ER is the exit pupil distance (Eye relief), which is the distance from the pupil 0 of the observer to the eye side 15 of the first lens 1 on the optical axis I; SL Is the length of the system, the distance from the observer’s pupil 0 to the display screen 99 on the optical axis I; EPD is the exit pupil diameter D1 (Eye pupil diameter, shown in FIG. 1) of the eyepiece optical system 10, which corresponds to the observation The diameter of the pupil's pupil 0 is, for example, 3 mm during the day and 7 mm at night, as shown in FIG. 1; ICD is the diameter D2 of the display image circle of the display screen 99 corresponding to the maximum viewing angle of the observer’s single eye ( Image circle diameter, as shown in Figure 1); VD is the distance of the virtual image, which is the distance between the enlarged virtual image VV and the observer's pupil 0 (ie, the exit pupil), as shown in Figure 1, the virtual image distance VD, where the eye can The closest distance for clear focusing is called the clear vision distance, and the clear vision distance for young people is usually 250 mm; ALT is the sum of the lens thicknesses of the first lens 1 to the third lens 3 on the optical axis I, namely T1, T2 and T3 The sum; AAG is the sum of the two air gaps of the first lens 1 to the third lens 3 on the optical axis I, that is, the sum of G12 and G23; R1 is the optical effective radius of the eye side 15 of the first lens 1 (half of clear aperture); R2 is the optical effective radius of the eye side 25 of the second lens 2; R3 is the optical effective radius of the eye side 35 of the third lens 3; In addition, redefinition: f1 is the focal length of the first lens 1; f2 Is the focal length of the second lens 2; f3 is the focal length of the third lens 3; n1 is the refractive index of the first lens 1; n2 is the refractive index of the second lens 2; n3 is the third lens The refractive index of 3; V1 is the Abbe number of the first lens 1; V2 is the Abbe number of the second lens 2; V3 is the Abbe number of the third lens 3.

再配合參閱圖8A至圖8D,圖8A至圖8D為第一實施例之目鏡光學系統的各項像差圖,且為假設光線方向逆追跡為一平行成像光線由目側A1依序經過瞳孔0以及目鏡光學系統10到顯示畫面99聚焦成像所得的各項像差圖。在本實施例中,上述各項像差圖中呈現的各項像差表現會決定來自顯示畫面99的成像光線於觀察者的眼睛的視網膜成像的各項像差表現。也就是說,當上述各項像差圖中呈現的各項像差較小時,觀察者的眼睛的視網膜的成像的各項像差表現也會較小,使得觀察者可以觀看到成像品質較佳的影像。With reference to FIGS. 8A to 8D, FIG. 8A to FIG. 8D are various aberration diagrams of the eyepiece optical system of the first embodiment, and it is assumed that the direction of the light is reversely traced as a parallel imaging light. The eye side A1 sequentially passes through the pupil 0 and various aberration diagrams obtained by focusing and imaging the eyepiece optical system 10 to the display screen 99. In this embodiment, the various aberrations shown in the aberration diagrams above determine the various aberrations of the imaging light from the display screen 99 to the retina of the observer's eye. That is to say, when the aberrations shown in the above aberration diagrams are small, the aberrations of the retina imaging of the observer's eyes will also be small, so that the observer can watch the imaging quality Good image.

具體而言,圖8A的圖式說明第一實施例的縱向球差(longitudinal spherical aberration),圖8B與圖8C的圖式則分別說明第一實施例有關弧矢(sagittal)方向的場曲(field curvature)像差及子午(tangential)方向的場曲像差,圖8D的圖式則說明第一實施例的畸變像差(distortion aberration)。本第一實施例的縱向球差圖示圖8A是在光瞳半徑(pupil radius)為2.5000 mm時(即目鏡光學系統10的出瞳直徑EPD為5.000 mm時)所模擬的。另外,本第一實施例的縱向球差圖示圖8A中,每一種波長所成的曲線皆很靠近並向中間靠近,說明每一種波長不同高度的離軸光線皆集中在成像點附近,由每一波長的曲線的偏斜幅度可看出,不同高度的離軸光線的成像點偏差控制在±0.28 mm的範圍內,故本實施例確實明顯改善相同波長的球差,此外,486奈米、588奈米以及656奈米三種代表波長彼此間的距離也相當接近,代表不同波長光線的成像位置已相當集中,因而使色像差也獲得明顯改善。Specifically, the diagram of FIG. 8A illustrates the longitudinal spherical aberration of the first embodiment, and the diagrams of FIGS. 8B and 8C respectively illustrate the curvature of field in the sagittal direction of the first embodiment ( field curvature) and the field curvature aberration in the tangential direction. The diagram of FIG. 8D illustrates the distortion aberration of the first embodiment. 8A of the longitudinal spherical aberration diagram of the first embodiment is simulated when the pupil radius (pupil radius) is 2.5000 mm (that is, when the exit pupil diameter EPD of the eyepiece optical system 10 is 5.000 mm). In addition, in the longitudinal spherical aberration diagram of the first embodiment in FIG. 8A, the curve formed by each wavelength is very close and close to the middle, indicating that the off-axis rays of different heights of each wavelength are concentrated near the imaging point. The deflection amplitude of the curve of each wavelength can be seen, the deviation of the imaging point of off-axis light of different heights is controlled within ±0.28 mm, so this embodiment does significantly improve the spherical aberration of the same wavelength. In addition, 486 nm The distances between the three representative wavelengths of 588 nm and 656 nm are also quite close to each other, and the imaging positions representing light of different wavelengths have been quite concentrated, so that the chromatic aberration is also significantly improved.

在圖8B與圖8C的二個場曲像差圖示中,三種代表波長在整個視場範圍內的場曲像差落在±3.5 mm的範圍內,說明本第一實施例的目鏡光學系統10能有效消除像差。而圖8D的畸變像差圖式則顯示本第一實施例的畸變像差維持在±30%的範圍內,說明本第一實施例的畸變像差已符合光學系統的成像品質要求,據此說明本第一實施例相較於現有目鏡光學系統,在TTL已縮短至41.200 mm左右的條件下,仍能提供較佳的成像品質,故本第一實施例能在維持良好光學性能之條件下縮短目鏡光學系統,以實現薄型化的產品設計。此外,本第一實施例的目鏡光學系統10具有較大的眼視視角,且能夠修正像差而維持良好的成像品質。In the two field curvature aberration diagrams of FIGS. 8B and 8C, the field curvature aberrations of the three representative wavelengths within the entire field of view fall within the range of ±3.5 mm, which illustrates the eyepiece optical system of the first embodiment 10 can effectively eliminate aberrations. The distortion aberration diagram of FIG. 8D shows that the distortion aberration of the first embodiment is maintained within ±30%, indicating that the distortion aberration of the first embodiment has met the imaging quality requirements of the optical system, and accordingly This means that compared with the existing eyepiece optical system, the first embodiment can still provide better imaging quality under the condition that the TTL has been shortened to about 41.200 mm, so the first embodiment can maintain good optical performance Shorten the eyepiece optical system to achieve a thin product design. In addition, the eyepiece optical system 10 of the first embodiment has a large viewing angle, and can correct aberrations while maintaining good imaging quality.

圖11為本發明的第二實施例的目鏡光學系統的示意圖,而圖12A至圖12D為第二實施例之目鏡光學系統的縱向球差與各項像差圖。請先參照圖11,本發明目鏡光學系統10的一第二實施例,其與第一實施例大致相似,而兩者的差異如下所述。第二實施例與第一實施例在各光學數據、非球面係數及第一透鏡1至第三透鏡3的參數或多或少有些不同。此外,在第二實施例中,第一透鏡1的目側面15的圓周區域154為凹面,且第三透鏡3的顯示側面36的圓周區域364為凹面。在此需注意的是,為了清楚地顯示圖面,圖11中省略與第一實施例相似的光軸區域與圓周區域的標號。11 is a schematic diagram of an eyepiece optical system of a second embodiment of the present invention, and FIGS. 12A to 12D are longitudinal spherical aberration and various aberration diagrams of the eyepiece optical system of the second embodiment. Referring first to FIG. 11, a second embodiment of the eyepiece optical system 10 of the present invention is substantially similar to the first embodiment, and the differences between the two are as follows. The second embodiment is more or less different from the first embodiment in each optical data, aspheric coefficient, and parameters of the first lens 1 to the third lens 3. In addition, in the second embodiment, the circumferential area 154 of the eye side 15 of the first lens 1 is concave, and the circumferential area 364 of the display side 36 of the third lens 3 is concave. It should be noted here that in order to clearly show the drawing, the reference numerals of the optical axis area and the circumferential area similar to the first embodiment are omitted in FIG. 11.

第二實施例的目鏡光學系統10詳細的光學數據如圖13所示,且第二實施例的目鏡光學系統10的整體系統焦距為36.586 mm,半眼視視角(ω)為39.997∘,光圈值(Fno)為7.317,ICD為50 mm,且TTL為43.760 mm。The detailed optical data of the eyepiece optical system 10 of the second embodiment is shown in FIG. 13, and the overall system focal length of the eyepiece optical system 10 of the second embodiment is 36.586 mm, the half-eye viewing angle (ω) is 39.997∘, and the aperture value ( Fno) is 7.317, ICD is 50 mm, and TTL is 43.760 mm.

如圖14所示,則為第二實施例的第一透鏡1至第三透鏡3的目側面15、25及35與顯示側面16、26及36在公式(1)中的各項非球面係數。As shown in FIG. 14, it is the aspherical coefficients in the formula (1) of the eye sides 15, 25, and 35 and the display sides 16, 26, and 36 of the first lens 1 to the third lens 3 of the second embodiment. .

另外,第二實施例之目鏡光學系統10中各重要參數間的關係如圖31所示。In addition, the relationship between important parameters in the eyepiece optical system 10 of the second embodiment is shown in FIG. 31.

本第二實施例的縱向球差圖示圖12A是在光瞳半徑為2.000 mm時(即目鏡光學系統10的出瞳直徑EPD為4.000mm時)所模擬的。本第二實施例的縱向球差圖示圖12A中,不同高度的離軸光線的成像點偏差控制在±0.28 mm的範圍內。在圖12B與圖12C的二個場曲像差圖示中,三種代表波長在整個視場範圍內的場曲像差落在±1.1 mm的範圍內。而圖12D的畸變像差圖式則顯示本第二實施例的畸變像差維持在±19%的範圍內。據此說明本第二實施例相較於現有目鏡光學系統,在TTL已縮短至43.760 mm左右的條件下,仍能提供較佳的成像品質。The longitudinal spherical aberration diagram 12A of the second embodiment is simulated when the pupil radius is 2.000 mm (that is, when the exit pupil diameter EPD of the eyepiece optical system 10 is 4.000 mm). In the longitudinal spherical aberration diagram of the second embodiment in FIG. 12A, the deviation of the imaging point of off-axis rays of different heights is controlled within a range of ±0.28 mm. In the two field curvature aberration diagrams of FIGS. 12B and 12C, the field curvature aberrations of the three representative wavelengths within the entire field of view fall within the range of ±1.1 mm. The distortion aberration diagram of FIG. 12D shows that the distortion aberration of the second embodiment is maintained within a range of ±19%. According to this, compared with the existing eyepiece optical system, the second embodiment can still provide better imaging quality under the condition that the TTL has been shortened to about 43.760 mm.

經由上述說明可得知,第二實施例相較於第一實施例的優點在於:第二實施例的場曲小於第一實施例的場曲,且第二實施例的畸變像差小於第一實施例的畸變像差。此外,第二實施例的透鏡的光軸與圓周區域的厚薄差異比第一實施例小,所以第二實施例比第一實施例易於製造,因此良率較高。It can be known from the above description that the second embodiment has an advantage over the first embodiment in that the field curvature of the second embodiment is smaller than that of the first embodiment, and the distortion aberration of the second embodiment is smaller than that of the first embodiment The distortion aberration of the embodiment. In addition, the thickness difference between the optical axis and the circumferential area of the lens of the second embodiment is smaller than that of the first embodiment, so the second embodiment is easier to manufacture than the first embodiment, so the yield is higher.

圖15為本發明的第三實施例的目鏡光學系統的示意圖,而圖16A至圖16D為第三實施例之目鏡光學系統的縱向球差與各項像差圖。請先參照圖15,本發明目鏡光學系統10的一第三實施例,其與第一實施例大致相似,而兩者的主要差異如下所述。第三實施例與第一實施例的各光學數據、非球面係數及第一透鏡1至第三透鏡3的參數或多或少有些不同。此外,在第三實施例中,第三透鏡3的顯示側面36的圓周區域364為凹面。在此需注意的是,為了清楚地顯示圖面,圖15中省略與第一實施例相似的光軸區域與圓周區域的標號。15 is a schematic diagram of an eyepiece optical system of a third embodiment of the present invention, and FIGS. 16A to 16D are longitudinal spherical aberration and various aberration diagrams of the eyepiece optical system of the third embodiment. Referring first to FIG. 15, a third embodiment of the eyepiece optical system 10 of the present invention is substantially similar to the first embodiment, and the main differences between the two are as follows. The optical data, aspheric coefficients, and parameters of the first lens 1 to the third lens 3 of the third embodiment are more or less different from those of the first embodiment. Furthermore, in the third embodiment, the circumferential area 364 of the display side 36 of the third lens 3 is concave. It should be noted here that in order to clearly show the drawing, the reference numerals of the optical axis area and the circumferential area similar to the first embodiment are omitted in FIG. 15.

第三實施例的目鏡光學系統10詳細的光學數據如圖17所示,且第三實施例的目鏡光學系統10的整體系統焦距為37.170 mm,半眼視視角(ω)為45.100∘,光圈值(Fno)為7.434,ICD為64 mm,且TTL為46.580 mm。The detailed optical data of the eyepiece optical system 10 of the third embodiment is shown in FIG. 17, and the overall system focal length of the eyepiece optical system 10 of the third embodiment is 37.170 mm, the half-eye viewing angle (ω) is 45.100∘, and the aperture value ( Fno) is 7.434, ICD is 64 mm, and TTL is 46.580 mm.

如圖18所示,則為第三實施例的第一透鏡1至第三透鏡3的目側面15、25及35與顯示側面16、26及36在公式(1)中的各項非球面係數。As shown in FIG. 18, it is the aspheric coefficients in the formula (1) of the eye sides 15, 25, and 35 and the display sides 16, 26, and 36 of the first lens 1 to the third lens 3 of the third embodiment. .

另外,第三實施例之目鏡光學系統10中各重要參數間的關係如圖31所示。In addition, the relationship between important parameters in the eyepiece optical system 10 of the third embodiment is shown in FIG. 31.

本第三實施例的縱向球差圖示圖16A是在光瞳半徑為2.5000 mm時(即在目鏡光學系統10的出瞳直徑EPD為5.000 mm時)所模擬的。本第三實施例的縱向球差圖示圖16A中,不同高度的離軸光線的成像點偏差控制在±0.36 mm的範圍內。在圖16B與圖16C的二個場曲像差圖示中,三種代表波長在整個視場範圍內的場曲像差落在±1.6 mm的範圍內。而圖16D的畸變像差圖式則顯示本第三實施例的畸變像差維持在±15%的範圍內。據此說明本第三實施例相較於現有目鏡光學系統,在TTL已縮短至46.580 mm左右的條件下,仍能提供較佳的成像品質。The longitudinal spherical aberration diagram 16A of the third embodiment is simulated when the pupil radius is 2.5000 mm (that is, when the exit pupil diameter EPD of the eyepiece optical system 10 is 5.000 mm). In the longitudinal spherical aberration diagram of this third embodiment, in FIG. 16A, the deviation of the imaging point of off-axis rays of different heights is controlled within a range of ±0.36 mm. In the two field curvature aberration diagrams of FIGS. 16B and 16C, the field curvature aberrations of the three representative wavelengths within the entire field of view fall within the range of ±1.6 mm. The distortion aberration diagram of FIG. 16D shows that the distortion aberration of the third embodiment is maintained within a range of ±15%. According to this, compared with the existing eyepiece optical system, the third embodiment can still provide better imaging quality under the condition that the TTL has been shortened to about 46.580 mm.

經由上述說明可得知,第三實施例相較於第一實施例的優點在於:第三實施例的半眼視視角大於第一實施例的半眼視視角,第三實施例的場曲小於第一實施例的場曲,且第三實施例的畸變像差小於第一實施例的畸變像差。此外,第三實施例的透鏡的光軸與圓周區域的厚薄差異比第一實施例小,所以第三實施例比第一實施例易於製造,因此良率較高。It can be seen from the above description that the third embodiment has an advantage over the first embodiment in that the third embodiment has a half-eye viewing angle greater than that of the first embodiment, and the third embodiment has a smaller field curvature than the first embodiment. The field curvature of the embodiment, and the distortion aberration of the third embodiment is smaller than that of the first embodiment. In addition, the thickness difference between the optical axis and the circumferential area of the lens of the third embodiment is smaller than that of the first embodiment, so the third embodiment is easier to manufacture than the first embodiment, so the yield is higher.

圖19為本發明的第四實施例的目鏡光學系統的示意圖,而圖20A至圖20D為第四實施例之目鏡光學系統的縱向球差與各項像差圖。請先參照圖19,本發明目鏡光學系統10的一第四實施例,其與第一實施例大致相似,而兩者的主要差異如下所述。第四實施例與第一實施例的各光學數據、非球面係數及第一透鏡1至第三透鏡3的參數或多或少有些不同。此外,在第四實施例中,第三透鏡3的顯示側面36的圓周區域364為凹面。在此需注意的是,為了清楚地顯示圖面,圖19中省略與第一實施例相似的光軸區域與圓周區域的標號。19 is a schematic diagram of an eyepiece optical system of a fourth embodiment of the present invention, and FIGS. 20A to 20D are longitudinal spherical aberration and various aberration diagrams of the eyepiece optical system of the fourth embodiment. Referring first to FIG. 19, a fourth embodiment of the eyepiece optical system 10 of the present invention is substantially similar to the first embodiment, and the main differences between the two are as follows. The optical data, aspheric coefficients, and parameters of the first lens 1 to the third lens 3 of the fourth embodiment are more or less different from those of the first embodiment. Furthermore, in the fourth embodiment, the circumferential area 364 of the display side 36 of the third lens 3 is concave. It should be noted here that in order to clearly show the drawing, the reference numerals of the optical axis area and the circumferential area similar to the first embodiment are omitted in FIG. 19.

目鏡光學系統10詳細的光學數據如圖21所示,且第四實施例的目鏡光學系統10的整體系統焦距為40.517 mm,半眼視視角(ω)為44.949∘,光圈值(Fno)為8.103,ICD為71 mm,且TTL為50.290 mm。The detailed optical data of the eyepiece optical system 10 is shown in FIG. 21, and the overall system focal length of the eyepiece optical system 10 of the fourth embodiment is 40.517 mm, the half-eye viewing angle (ω) is 44.949∘, and the aperture value (Fno) is 8.103, The ICD is 71 mm and the TTL is 50.290 mm.

如圖22所示,則為第四實施例的第一透鏡1至第三透鏡3的目側面15、25及35與顯示側面16、26及36在公式(1)中的各項非球面係數。As shown in FIG. 22, it is the aspherical coefficients in the formula (1) of the eye sides 15, 25, and 35 and the display sides 16, 26, and 36 of the first lens 1 to the third lens 3 of the fourth embodiment. .

另外,第四實施例之目鏡光學系統10中各重要參數間的關係如圖31所示。In addition, the relationship between important parameters in the eyepiece optical system 10 of the fourth embodiment is shown in FIG. 31.

本第四實施例的縱向球差圖示圖20A是在光瞳半徑為2.5000 mm時(即在目鏡光學系統10的出瞳直徑EPD為5.000 mm時)所模擬的。本第四實施例的縱向球差圖示圖20A中,不同高度的離軸光線的成像點偏差控制在±0.48 mm的範圍內。在圖20B與圖20C的二個場曲像差圖示中,三種代表波長在整個視場範圍內的場曲像差落在±2.4 mm的範圍內。而圖20D的畸變像差圖式則顯示本第四實施例的畸變像差維持在±13%的範圍內。據此說明本第四實施例相較於現有目鏡光學系統,在TTL已縮短至50.290 mm左右的條件下,仍能提供較佳的成像品質。The longitudinal spherical aberration diagram 20A of the fourth embodiment is simulated when the pupil radius is 2.5000 mm (that is, when the exit pupil diameter EPD of the eyepiece optical system 10 is 5.000 mm). In the longitudinal spherical aberration diagram of the fourth embodiment in FIG. 20A, the deviation of the imaging point of off-axis light rays of different heights is controlled within a range of ±0.48 mm. In the two field curvature aberration diagrams of FIGS. 20B and 20C, the field curvature aberrations of the three representative wavelengths in the entire field of view fall within the range of ±2.4 mm. The distortion aberration diagram of FIG. 20D shows that the distortion aberration of the fourth embodiment is maintained within the range of ±13%. According to this, compared with the existing eyepiece optical system, the fourth embodiment can still provide better imaging quality under the condition that the TTL has been shortened to about 50.290 mm.

經由上述說明可得知,第四實施例相較於第一實施例的優點在於:第四實施例的場曲像差小於第一實施例的場曲像差,且第四實施例的畸變像差小於第一實施例的畸變像差。此外,第四實施例的透鏡的光軸與圓周區域的厚薄差異比第一實施例小,所以第四實施例比第一實施例易於製造,因此良率較高。It can be known from the above description that the fourth embodiment has an advantage over the first embodiment in that the field curvature aberration of the fourth embodiment is smaller than that of the first embodiment, and the distortion image of the fourth embodiment The difference is smaller than the distortion aberration of the first embodiment. In addition, the thickness difference between the optical axis and the circumferential area of the lens of the fourth embodiment is smaller than that of the first embodiment, so the fourth embodiment is easier to manufacture than the first embodiment, so the yield is higher.

圖23為本發明的第五實施例的目鏡光學系統的示意圖,而圖24A至圖24D為第五實施例之目鏡光學系統的縱向球差與各項像差圖。請先參照圖23,本發明目鏡光學系統10的一第五實施例,其與第一實施例大致相似,而兩者的主要差異如下所述。第五實施例與第一實施例的各光學數據、非球面係數及第一透鏡1至第三透鏡3的參數或多或少有些不同。此外,在第五實施例中,第三透鏡3的顯示側面36的圓周區域364為凹面。在此需注意的是,為了清楚地顯示圖面,圖23中省略與第一實施例相似的光軸區域與圓周區域的標號。23 is a schematic diagram of an eyepiece optical system of a fifth embodiment of the present invention, and FIGS. 24A to 24D are longitudinal spherical aberration and various aberration diagrams of the eyepiece optical system of the fifth embodiment. Referring first to FIG. 23, a fifth embodiment of the eyepiece optical system 10 of the present invention is substantially similar to the first embodiment, and the main differences between the two are as follows. The optical data, aspheric coefficients, and parameters of the first lens 1 to the third lens 3 of the fifth embodiment are somewhat different from those of the first embodiment. In addition, in the fifth embodiment, the circumferential area 364 of the display side surface 36 of the third lens 3 is concave. It should be noted here that in order to clearly show the drawing, the reference numerals of the optical axis area and the circumferential area similar to the first embodiment are omitted in FIG. 23.

第五實施例的目鏡光學系統10詳細的光學數據如圖25所示,且第五實施例的目鏡光學系統10的整體系統焦距為38.314 mm,半眼視視角(ω)為40.138∘,光圈值(Fno)為7.663,ICD為56 mm,且TTL為47.310 mm。The detailed optical data of the eyepiece optical system 10 of the fifth embodiment is shown in FIG. 25, and the overall system focal length of the eyepiece optical system 10 of the fifth embodiment is 38.314 mm, the half-eye viewing angle (ω) is 40.138∘, and the aperture value ( Fno) is 7.663, ICD is 56 mm, and TTL is 47.310 mm.

如圖26所示,則為第五實施例的第一透鏡1至第三透鏡3的目側面15、25及35與顯示側面16、26及36在公式(1)中的各項非球面係數。As shown in FIG. 26, it is the aspheric coefficients of the first lens 1 to the third lens 3 of the fifth embodiment in the formula (1) for the eye sides 15, 25, and 35 and the display sides 16, 26, and 36 in formula (1) .

另外,第五實施例之目鏡光學系統10中各重要參數間的關係如圖31所示。In addition, the relationship between important parameters in the eyepiece optical system 10 of the fifth embodiment is shown in FIG. 31.

本第五實施例的縱向球差圖示圖24A是在光瞳半徑為2.5000 mm時(即在目鏡光學系統10的出瞳直徑EPD為5.000 mm時)所模擬的。本第五實施例的縱向球差圖示圖24A中,不同高度的離軸光線的成像點偏差控制在±0.42 mm的範圍內。在圖24B與圖24C的二個場曲像差圖示中,三種代表波長在整個視場範圍內的場曲像差落在±1.2 mm的範圍內。而圖24D的畸變像差圖式則顯示本第五實施例的畸變像差維持在±14%的範圍內。據此說明本第五實施例相較於現有目鏡光學系統,在TTL已縮短至47.310 mm左右的條件下,仍能提供較佳的成像品質。The longitudinal spherical aberration diagram 24A of the fifth embodiment is simulated when the pupil radius is 2.5000 mm (that is, when the exit pupil diameter EPD of the eyepiece optical system 10 is 5.000 mm). In the longitudinal spherical aberration diagram of this fifth embodiment, in FIG. 24A, the deviation of the imaging point of off-axis rays of different heights is controlled within a range of ±0.42 mm. In the two field curvature aberration diagrams of FIGS. 24B and 24C, the field curvature aberrations of the three representative wavelengths within the entire field of view fall within the range of ±1.2 mm. The distortion aberration diagram of FIG. 24D shows that the distortion aberration of the fifth embodiment is maintained within the range of ±14%. According to this, compared with the existing eyepiece optical system, the fifth embodiment can still provide better imaging quality under the condition that the TTL has been shortened to about 47.310 mm.

經由上述說明可得知,第五實施例相較於第一實施例的優點在於:第五實施例的場曲小於第一實施例的場曲,且第五實施例的畸變像差小於第一實施例的畸變像差。此外,第五實施例的透鏡的光軸與圓周區域的厚薄差異比第一實施例小,所以第五實施例比第一實施例易於製造,因此良率較高。It can be known from the above description that the fifth embodiment has an advantage over the first embodiment in that the field curvature of the fifth embodiment is smaller than that of the first embodiment, and the distortion aberration of the fifth embodiment is smaller than that of the first embodiment The distortion aberration of the embodiment. In addition, the difference in thickness between the optical axis and the circumferential area of the lens of the fifth embodiment is smaller than that of the first embodiment, so the fifth embodiment is easier to manufacture than the first embodiment, so the yield is higher.

圖27為本發明的第六實施例的目鏡光學系統的示意圖,而圖28A至圖28D為第六實施例之目鏡光學系統的縱向球差與各項像差圖。請先參照圖27,本發明目鏡光學系統10的一第六實施例,其與第一實施例大致相似,而兩者的主要差異如下所述。第六實施例與第一實施例的各光學數據、非球面係數及第一透鏡1至第三透鏡3的參數或多或少有些不同。此外,在第六實施例中,第三透鏡3的顯示側面36的光軸區域361為凸面,且第三透鏡3的顯示側面36的圓周區域364為凹面。在此需注意的是,為了清楚地顯示圖面,圖27中省略與第一實施例相似的光軸區域與圓周區域的標號。FIG. 27 is a schematic diagram of an eyepiece optical system of a sixth embodiment of the present invention, and FIGS. 28A to 28D are longitudinal spherical aberration and various aberration diagrams of the eyepiece optical system of the sixth embodiment. Referring first to FIG. 27, a sixth embodiment of the eyepiece optical system 10 of the present invention is substantially similar to the first embodiment, and the main differences between the two are as follows. The optical data, aspheric coefficients, and parameters of the first lens 1 to the third lens 3 of the sixth embodiment are more or less different from those of the first embodiment. Further, in the sixth embodiment, the optical axis region 361 of the display side surface 36 of the third lens 3 is convex, and the circumferential region 364 of the display side surface 36 of the third lens 3 is concave. It should be noted here that, in order to clearly show the drawing, the reference numerals of the optical axis area and the circumferential area similar to the first embodiment are omitted in FIG. 27.

第六實施例的目鏡光學系統10詳細的光學數據如圖29所示,且第六實施例的目鏡光學系統10的整體系統焦距為25.781 mm,半眼視視角(ω)為45.303∘,光圈值(Fno)為5.156,ICD為50 mm,且TTL為41.320 mm。The detailed optical data of the eyepiece optical system 10 of the sixth embodiment is shown in FIG. 29, and the overall system focal length of the eyepiece optical system 10 of the sixth embodiment is 25.781 mm, the half-eye viewing angle (ω) is 45.303∘, and the aperture value ( Fno) is 5.156, ICD is 50 mm, and TTL is 41.320 mm.

如圖30所示,則為第六實施例的第一透鏡1至第三透鏡3的目側面15、25及35與顯示側面16、26及36在公式(1)中的各項非球面係數。As shown in FIG. 30, it is the aspherical coefficients in the formula (1) of the eye sides 15, 25, and 35 and the display sides 16, 26, and 36 of the first lens 1 to the third lens 3 of the sixth embodiment. .

另外,第六實施例之目鏡光學系統10中各重要參數間的關係如圖31所示。In addition, the relationship between important parameters in the eyepiece optical system 10 of the sixth embodiment is shown in FIG. 31.

本第六實施例的縱向球差圖示圖28A是在光瞳半徑為2.5000 mm時(即在目鏡光學系統10的出瞳直徑EPD為5.000 mm時)所模擬的。本第六實施例的縱向球差圖示圖28A中,不同高度的離軸光線的成像點偏差控制在±0.6 mm的範圍內。在圖28B與圖28C的二個場曲像差圖示中,三種代表波長在整個視場範圍內的場曲像差落在±2.3 mm的範圍內。而圖28D的畸變像差圖式則顯示本第六實施例的畸變像差維持在±4.5%的範圍內。據此說明本第六實施例相較於現有目鏡光學系統,在TTL已縮短至41.320 mm左右的條件下,仍能提供較佳的成像品質。The longitudinal spherical aberration diagram 28A of the sixth embodiment is simulated when the pupil radius is 2.5000 mm (that is, when the exit pupil diameter EPD of the eyepiece optical system 10 is 5.000 mm). In the longitudinal spherical aberration diagram of this sixth embodiment, in FIG. 28A, the deviation of the imaging point of off-axis rays of different heights is controlled within a range of ±0.6 mm. In the two field curvature aberration diagrams of FIGS. 28B and 28C, the field curvature aberrations of the three representative wavelengths within the entire field of view fall within the range of ±2.3 mm. The distortion aberration diagram of FIG. 28D shows that the distortion aberration of the sixth embodiment is maintained within a range of ±4.5%. According to this, compared with the existing eyepiece optical system, the sixth embodiment can still provide better imaging quality under the condition that the TTL has been shortened to about 41.320 mm.

經由上述說明可得知,第六實施例相較於第一實施例的優點在於:第六實施例的半眼視視角大於第一實施例的半眼視視角,第六實施例的場曲小於第一實施例的場曲,且第六實施例的畸變像差小於第一實施例的畸變像差。It can be seen from the above description that the sixth embodiment has an advantage over the first embodiment in that the half-eye viewing angle of the sixth embodiment is larger than that of the first embodiment, and the field curvature of the sixth embodiment is smaller than that of the first embodiment. Field curvature of the embodiment, and the distortion aberration of the sixth embodiment is smaller than that of the first embodiment.

再配合參閱圖31。圖31為上述第一實施例至第六實施例的各項光學參數的表格圖,其中「T1」至「EFL」那些列的參數的單位為毫米(mm)。Refer to Figure 31 again. FIG. 31 is a table diagram of various optical parameters of the first to sixth embodiments described above, wherein the units of the parameters of the columns “T1” to “EFL” are millimeters (mm).

當本發明的實施例的目鏡光學系統10中的各項光學參數間的關係式符合下列條件式或符合下列設計的至少其中之一時,可協助設計者設計出具備良好光學性能、整體長度有效縮短、且技術上可行之目鏡光學系統:When the relationship between the various optical parameters in the eyepiece optical system 10 of the embodiment of the present invention meets the following conditional formula or at least one of the following designs, it can help the designer to design with good optical performance and the overall length is effectively shortened And technically feasible eyepiece optical system:

一、透過以下設計之相互搭配可有效增加半眼視視角並加強成像品質:第一透鏡1的目側面15的光軸區域151為凸面及第二透鏡2的目側面25的圓周區域253為凸面的設計有利於放大影像,搭配第三透鏡3的目側面35的圓周區域354為凹面的設計能夠有效改善色差、提升成像品質。1. The combination of the following designs can effectively increase the half-eye viewing angle and enhance the imaging quality: the optical axis area 151 of the eye side 15 of the first lens 1 is convex and the circumferential area 253 of the eye side 25 of the second lens 2 is convex The design is conducive to enlarging the image, and the design of the circumferential area 354 of the eye side 35 of the third lens 3 as a concave surface can effectively improve chromatic aberration and improve imaging quality.

二、250毫米(mm)為明視距離,其為青年人眼睛可以清楚聚焦的最近之距離,則系統之放大率可近似於250mm與EFL的比值,因此目鏡光學系統10可滿足2.500≦250毫米/EFL≦25.000,如此會使得系統放大率不致過大而增加透鏡厚度與製造困難度,且EFL不致過長而影響系統長度。2. 250 millimeters (mm) is the distance of clear vision, which is the closest distance that the young people's eyes can focus clearly. The magnification of the system can be approximated to the ratio of 250mm to EFL, so the eyepiece optical system 10 can meet 2.500≦250 mm /EFL≦25.000, so that the system magnification will not be too large, increasing the thickness of the lens and the difficulty of manufacturing, and the EFL will not be too long to affect the system length.

三、目鏡光學系統10可滿足下列條件式的至少其中之一,目的為使各透鏡的厚度與間隔維持一適當值,避免任一參數過大而不利於目鏡光學系統10整體之薄型化,或是避免任一參數過小而影響組裝或是提高製造上之困難度: G23/(G12+T3)≦2.000,較佳的範圍為0.600≦G23/(G12+T3)≦2.000; ALT/(T1+G12+T3)≦1.700,較佳的範圍為1.100≦ALT/(T1+G12+T3)≦1.700; T2/T3≦2.300,較佳的範圍為1.500≦T2/T3≦2.300; T1/T2≦1.400,較佳的範圍為0.700≦T1/T2≦1.400; T1/G23≦2.500,較佳的範圍為1.000≦T1/G23≦2.500; (AAG+T1)/T2≦2.300,較佳的範圍為1.500≦(AAG+T1)/T2≦2.300; ALT/T2≦3.300,較佳的範圍為2.200≦ALT/T2≦3.300; AAG/G23≦1.200,較佳的範圍為1.000≦AAG/G23≦1.200; (T1+G12)/T2≦1.700,較佳的範圍為0.800≦(T1+G12)/T2≦1.700; (T1+G12+T2+G23)/T3≦6.400,較佳的範圍為3.900≦(T1+G12+T2+G23)/T3≦6.400; 0.800≦G3D/(T1+AAG) ,較佳的範圍為0.800≦G3D/(T1+AAG)≦2.200; 3.100≦ALT/AAG,較佳的範圍為3.100≦ALT/AAG≦5.000; 1.300≦(G12+T2)/G23,較佳的範圍為1.300≦(G12+T2)/G23≦2.000。3. The eyepiece optical system 10 can satisfy at least one of the following conditional expressions, the purpose of which is to maintain the thickness and interval of each lens at an appropriate value, so as to avoid any one parameter being too large and not conducive to the overall thinning of the eyepiece optical system 10, or Avoid any parameter that is too small to affect the assembly or increase the difficulty of manufacturing: G23/(G12+T3)≦2.000, the preferred range is 0.600≦G23/(G12+T3)≦2.000; ALT/(T1+G12 +T3)≦1.700, the preferred range is 1.100≦ALT/(T1+G12+T3)≦1.700; T2/T3≦2.300, the preferred range is 1.500≦T2/T3≦2.300; T1/T2≦1.400, The preferred range is 0.700≦T1/T2≦1.400; T1/G23≦2.500, the preferred range is 1.000≦T1/G23≦2.500; (AAG+T1)/T2≦2.300, the preferred range is 1.500≦( AAG+T1)/T2≦2.300; ALT/T2≦3.300, the preferred range is 2.200≦ALT/T2≦3.300; AAG/G23≦1.200, the preferred range is 1.000≦AAG/G23≦1.200; (T1+ G12)/T2≦1.700, the preferred range is 0.800≦(T1+G12)/T2≦1.700; (T1+G12+T2+G23)/T3≦6.400, the preferred range is 3.900≦(T1+G12+ T2+G23)/T3≦6.400; 0.800≦G3D/(T1+AAG), the preferred range is 0.800≦G3D/(T1+AAG)≦2.200; 3.100≦ALT/AAG, the preferred range is 3.100≦ALT /AAG≦5.000; 1.300≦(G12+T2)/G23, the preferred range is 1.300≦(G12+T2)/G23≦2.000.

四、目鏡光學系統10可滿足下列條件式,目的是為使系統焦距與光學各參數維持一適當值,避免任一參數過大而不利於目鏡光學系統10整體之像差的修正,或是避免任一參數過小而影響組裝或是提高製造上之困難度: EFL/G3D≦2.000,較佳的範圍為1.400≦EFL/G3D≦2.000。4. The eyepiece optical system 10 can satisfy the following conditional expressions, the purpose is to maintain the system focal length and optical parameters at an appropriate value, to avoid any one parameter is too large and not conducive to the correction of the overall aberration of the eyepiece optical system 10, or to avoid any A parameter that is too small affects assembly or improves the difficulty of manufacturing: EFL/G3D≦2.000, the preferred range is 1.400≦EFL/G3D≦2.000.

五、目鏡光學系統10可滿足下列條件式的至少其中之一,使光學元件參數與目鏡光學系統10長度比值維持一適當值,避免參數過小不利於生產製造,或是避免參數過大而使得目鏡光學系統10長度過長: TL/G3D≦4.600,較佳的範圍為0.800≦TL/G3D≦4.600,更佳的範圍為0.800≦TL/G3D≦2.500; TTL/(T3+G3D)≦2.500,較佳的範圍為1.300≦TTL/(T3+G3D)≦2.500; TL/G23≦6.800,較佳的範圍為3.600≦TL/G23≦6.800; 0.900≦EFL/TL,較佳的範圍為0.900≦EFL/TL≦2.000; 1.800≦TTL/ALT,較佳的範圍為1.800≦TTL/ALT≦2.500; 1.400≦TTL/TL,較佳的範圍為1.400≦TTL/TL≦2.500。5. The eyepiece optical system 10 can satisfy at least one of the following conditional expressions, so that the ratio of the optical element parameter to the length of the eyepiece optical system 10 is maintained at an appropriate value, to avoid that the parameter is too small for manufacturing, or the parameter is too large to make the eyepiece optical The length of the system 10 is too long: TL/G3D≦4.600, the preferred range is 0.800≦TL/G3D≦4.600, the better range is 0.800≦TL/G3D≦2.500; TTL/(T3+G3D)≦2.500, preferably The range is 1.300≦TTL/(T3+G3D)≦2.500; TL/G23≦6.800, the preferred range is 3.600≦TL/G23≦6.800; 0.900≦EFL/TL, the preferred range is 0.900≦EFL/TL ≦2.000; 1.800≦TTL/ALT, the preferred range is 1.800≦TTL/ALT≦2.500; 1.400≦TTL/TL, the preferred range is 1.400≦TTL/TL≦2.500.

有鑑於光學系統設計的不可預測性,在本發明的架構之下,符合上述條件式能較佳地使本發明目鏡光學系統10具有較短的系統長度、較大的半眼視視角、較佳的成像品質,或是較良好的組裝良率而改善先前技術的缺點。In view of the unpredictability of the design of the optical system, under the framework of the present invention, meeting the above-mentioned conditional formula can better make the eyepiece optical system 10 of the present invention have a shorter system length, a larger half-eye viewing angle, and a better Imaging quality, or better assembly yield improves the shortcomings of the prior art.

此外,關於前述所列之示例性限定關係式,亦可任意選擇性地合併不等數量施用於本發明之實施態樣中,並不限於此。實施本發明時,除了前述關係式之外,亦可針對透鏡額外設計出其他更多的透鏡的凹凸曲面排列等細部結構,以加強對系統性能及/或解析度的控制。須注意的是,此些細節需在無衝突之情況之下,選擇性地合併施用於本發明之其他實施例當中。In addition, with regard to the above-mentioned exemplary limited relational expressions, arbitrarily and selectively unequal numbers can be combined and applied to the implementation of the present invention, which is not limited thereto. In the implementation of the present invention, in addition to the aforementioned relational expressions, additional details such as the concave-convex curved surface arrangement of the lens can be additionally designed for the lens to enhance the control of system performance and/or resolution. It should be noted that these details need to be selectively applied to other embodiments of the present invention without conflict.

本發明之各個實施例所揭露之光學參數的組合比例關係所得的包含最大最小值以內的數值範圍皆可據以實施。The numerical ranges including the maximum and minimum values obtained by the combined proportional relationship of the optical parameters disclosed in the embodiments of the present invention can be implemented accordingly.

綜上所述,本發明各實施例的縱向球差、場曲像差、畸變皆符合使用規範。另外,656奈米(紅光)、588奈米(綠光)、486奈米(藍光)三種代表波長在不同高度的離軸光線皆集中在成像點附近,由每一曲線的偏斜幅度可看出不同高度的離軸光線的成像點偏差皆獲得控制而具有良好的球差、像差、畸變抑制能力。進一步參閱成像品質數據,656奈米、588奈米、486奈米三種代表波長彼此間的距離亦相當接近,顯示本發明的實施例在各種狀態下對不同波長光線的集中性佳而具有優良的色散抑制能力,故透過上述可知本發明的實施例具備良好光學性能。因此,本發明的實施例的目鏡光學系統兼具輕薄及大眼視視角的特性,且具有良好的光學成像品質。In summary, the longitudinal spherical aberration, field curvature aberration, and distortion of the embodiments of the present invention all conform to the usage specifications. In addition, 656 nanometers (red light), 588 nanometers (green light), 486 nanometers (blue light), three off-axis rays with different wavelengths at different heights are concentrated near the imaging point, and the deflection amplitude of each curve can be It can be seen that the deviation of the imaging point of off-axis light of different heights is controlled and has good spherical aberration, aberration, and distortion suppression capabilities. Further referring to the imaging quality data, the three representative wavelengths of 656 nanometers, 588 nanometers, and 486 nanometers are also very close to each other, showing that the embodiments of the present invention have good concentration of light of different wavelengths under various conditions and have excellent Since the dispersion suppression ability, it can be seen from the above that the embodiments of the present invention have good optical performance. Therefore, the eyepiece optical system of the embodiment of the present invention has the characteristics of lightness, thinness, and wide viewing angle, and has good optical imaging quality.

雖然本發明已以實施例揭露如上,然其並非用以限定本發明,任何所屬技術領域中具有通常知識者,在不脫離本發明的精神和範圍內,當可作些許的更動與潤飾,故本發明的保護範圍當視後附的申請專利範圍所界定者為準。Although the present invention has been disclosed as above with examples, it is not intended to limit the present invention. Any person with ordinary knowledge in the technical field can make some changes and modifications without departing from the spirit and scope of the present invention. The scope of protection of the present invention shall be subject to the scope defined in the appended patent application.

0‧‧‧瞳孔0‧‧‧ pupil

1‧‧‧第一透鏡1‧‧‧ First lens

10、V100‧‧‧目鏡光學系統10.V100‧‧‧Eyepiece optical system

100、200、300、400、500‧‧‧透鏡100, 200, 300, 400, 500 ‧‧‧ lens

130‧‧‧組裝部130‧‧‧Assembly Department

15、25、35、110、410、510‧‧‧目側面15, 25, 35, 110, 410, 510‧‧‧ mesh side

16、26、36、120、320‧‧‧顯示側面16, 26, 36, 120, 320 ‧‧‧ display side

2‧‧‧第二透鏡2‧‧‧second lens

211、212‧‧‧平行光線211, 212‧‧‧ parallel rays

265‧‧‧菲涅耳表面265‧‧‧ Fresnel surface

3‧‧‧第三透鏡3‧‧‧third lens

99、V50‧‧‧顯示畫面99, V50‧‧‧ display screen

A1‧‧‧目側A1‧‧‧Mesh side

A2‧‧‧顯示側A2‧‧‧Display side

CP‧‧‧中心點CP‧‧‧Center

CP1‧‧‧第一中心點CP1‧‧‧First Center Point

CP2‧‧‧第二中心點CP2‧‧‧Second Center Point

D1‧‧‧出瞳直徑D1‧‧‧Exit pupil diameter

D2‧‧‧顯示像圓之直徑D2‧‧‧Display the diameter of a circle

EL‧‧‧延伸線EL‧‧‧Extended line

I‧‧‧光軸I‧‧‧optic axis

Lm‧‧‧邊緣光線Lm‧‧‧edge light

Lc‧‧‧主光線Lc‧‧‧ chief rays

OB‧‧‧光學邊界OB‧‧‧Optical boundary

M、R‧‧‧相交點Intersection point of M, R‧‧‧

TP1‧‧‧第一轉換點TP1‧‧‧First conversion point

TP2‧‧‧第二轉換點TP2‧‧‧second conversion point

V60‧‧‧眼睛V60‧‧‧Eye

VD‧‧‧虛像距離VD‧‧‧Virtual image distance

VI‧‧‧成像光線VI‧‧‧Imaging light

VV‧‧‧放大虛像VV‧‧‧magnified virtual image

Z1、151、161、251、261、352、361、362‧‧‧光軸區域Z1, 151, 161, 251, 261, 352, 361, 362

Z2、153、154、163、253、263、354、363、364‧‧‧圓周區域Z2, 153, 154, 163, 253, 263, 354, 363, 364

ω‧‧‧半眼視視角ω‧‧‧ half-eye viewing angle

Z3‧‧‧中繼區域Z3‧‧‧ Relay area

圖1是一示意圖,說明一目鏡光學系統。 圖2是一示意圖,說明一透鏡的面型結構。 圖3是一示意圖,說明一透鏡的面型凹凸結構及光線焦點。 圖4是一示意圖,說明一範例一的透鏡的面型結構。 圖5是一示意圖,說明一範例二的透鏡的面型結構。 圖6是一示意圖,說明一範例三的透鏡的面型結構。 圖7為本發明之第一實施例之目鏡光學系統的示意圖。 圖8A至圖8D為第一實施例之目鏡光學系統的縱向球差與各項像差圖。 圖9示出本發明之第一實施例之目鏡光學系統的詳細光學數據。 圖10示出本發明之第一實施例之目鏡光學系統的非球面參數。 圖11為本發明的第二實施例的目鏡光學系統的示意圖。 圖12A至圖12D為第二實施例之目鏡光學系統的縱向球差與各項像差圖。 圖13示出本發明之第二實施例之目鏡光學系統的詳細光學數據。 圖14示出本發明之第二實施例之目鏡光學系統的非球面參數。 圖15為本發明的第三實施例的目鏡光學系統的示意圖。 圖16A至圖16D為第三實施例之目鏡光學系統的縱向球差與各項像差圖。 圖17示出本發明之第三實施例之目鏡光學系統的詳細光學數據。 圖18示出本發明之第三實施例之目鏡光學系統的非球面參數。 圖19為本發明的第四實施例的目鏡光學系統的示意圖。 圖20A至圖20D為第四實施例之目鏡光學系統的縱向球差與各項像差圖。 圖21示出本發明之第四實施例之目鏡光學系統的詳細光學數據。 圖22示出本發明之第四實施例之目鏡光學系統的非球面參數。 圖23為本發明的第五實施例的目鏡光學系統的示意圖。 圖24A至圖24D為第五實施例之目鏡光學系統的縱向球差與各項像差圖。 圖25示出本發明之第五實施例之目鏡光學系統的詳細光學數據。 圖26示出本發明之第五實施例之目鏡光學系統的非球面參數。 圖27為本發明的第六實施例的目鏡光學系統的示意圖。 圖28A至圖28D為第六實施例之目鏡光學系統的縱向球差與各項像差圖。 圖29示出本發明之第六實施例之目鏡光學系統的詳細光學數據。 圖30示出本發明之第六實施例之目鏡光學系統的非球面參數。 圖31示出本發明之第一至第六實施例之目鏡光學系統的各重要參數及其關係式的數值。FIG. 1 is a schematic diagram illustrating an eyepiece optical system. FIG. 2 is a schematic diagram illustrating the surface structure of a lens. FIG. 3 is a schematic diagram illustrating the surface uneven structure of a lens and the focus of light. FIG. 4 is a schematic diagram illustrating the surface structure of an example one lens. FIG. 5 is a schematic diagram illustrating the surface structure of a lens of Example 2. FIG. FIG. 6 is a schematic diagram illustrating the surface structure of a lens of Example 3. FIG. 7 is a schematic diagram of an eyepiece optical system according to the first embodiment of the invention. 8A to 8D are longitudinal spherical aberration and various aberration diagrams of the eyepiece optical system of the first embodiment. 9 shows detailed optical data of the eyepiece optical system of the first embodiment of the present invention. FIG. 10 shows aspherical parameters of the eyepiece optical system of the first embodiment of the present invention. 11 is a schematic diagram of an eyepiece optical system according to a second embodiment of the invention. 12A to 12D are longitudinal spherical aberration and various aberration diagrams of the eyepiece optical system of the second embodiment. 13 shows detailed optical data of the eyepiece optical system of the second embodiment of the present invention. FIG. 14 shows aspherical parameters of the eyepiece optical system of the second embodiment of the present invention. 15 is a schematic diagram of an eyepiece optical system of a third embodiment of the present invention. 16A to 16D are longitudinal spherical aberration and various aberration diagrams of the eyepiece optical system of the third embodiment. FIG. 17 shows detailed optical data of the eyepiece optical system of the third embodiment of the present invention. Fig. 18 shows aspherical parameters of the eyepiece optical system of the third embodiment of the present invention. 19 is a schematic diagram of an eyepiece optical system according to a fourth embodiment of the invention. 20A to 20D are longitudinal spherical aberration and various aberration diagrams of the eyepiece optical system of the fourth embodiment. FIG. 21 shows detailed optical data of the eyepiece optical system of the fourth embodiment of the present invention. Fig. 22 shows aspherical parameters of the eyepiece optical system of the fourth embodiment of the present invention. 23 is a schematic diagram of an eyepiece optical system according to a fifth embodiment of the invention. 24A to 24D are longitudinal spherical aberration and various aberration diagrams of the eyepiece optical system of the fifth embodiment. FIG. 25 shows detailed optical data of the eyepiece optical system of the fifth embodiment of the present invention. Fig. 26 shows aspherical parameters of the eyepiece optical system of the fifth embodiment of the present invention. FIG. 27 is a schematic diagram of an eyepiece optical system according to a sixth embodiment of the invention. 28A to 28D are longitudinal spherical aberration and various aberration diagrams of the eyepiece optical system of the sixth embodiment. FIG. 29 shows detailed optical data of the eyepiece optical system of the sixth embodiment of the present invention. FIG. 30 shows aspherical parameters of the eyepiece optical system of the sixth embodiment of the present invention. FIG. 31 shows the important parameters of the eyepiece optical systems of the first to sixth embodiments of the present invention and the values of their relational expressions.

Claims (20)

一種目鏡光學系統,用於使成像光線從顯示畫面經該目鏡光學系統進入觀察者的眼睛而成像,朝向該眼睛的方向為目側,朝向該顯示畫面的方向為顯示側,該目鏡光學系統從該目側至該顯示側沿一光軸依序包括一第一透鏡、一第二透鏡及一第三透鏡,該第一透鏡至該第三透鏡各自具有朝向該目側且使該成像光線通過的一目側面及朝向該顯示側且使該成像光線通過的一顯示側面; 該第一透鏡的該目側面的一光軸區域為凸面; 該第二透鏡的該目側面的一圓周區域為凸面; 該第三透鏡的該目側面的一圓周區域為凹面;以及 該目鏡光學系統符合: TL/G3D≦4.600;以及 0.800≦G3D/(T1+AAG), 其中,TL為該第一透鏡的該目側面到該第三透鏡的該顯示側面在該光軸上的一距離,G3D為該第三透鏡到該顯示畫面在該光軸上的一距離,T1為該第一透鏡在該光軸上的一厚度,且AAG為該第一透鏡至該第三透鏡在該光軸上的二個空氣間隙的總和,且該目鏡光學系統中具有屈光率的透鏡只有該第一透鏡、該第二透鏡及該第三透鏡。An eyepiece optical system is used to form imaging light rays from a display screen into an observer's eye through the eyepiece optical system for imaging. The direction toward the eye is the eye side, and the direction toward the display screen is the display side. The eyepiece optical system The eye side to the display side include a first lens, a second lens, and a third lens in sequence along an optical axis. The first lens to the third lens each have a direction toward the eye side and pass the imaging light A side surface of the eye and a display side facing the display side and passing the imaging light; an optical axis area of the eye side of the first lens is convex; a circumferential area of the eye side of the second lens is convex; A circumferential area of the eye side of the third lens is concave; and the eyepiece optical system conforms to: TL/G3D≦4.600; and 0.800≦G3D/(T1+AAG), where TL is the eye of the first lens A distance from the side to the display side of the third lens on the optical axis, G3D is a distance from the third lens to the display screen on the optical axis, and T1 is a distance of the first lens on the optical axis A thickness, and AAG is the sum of the two air gaps of the first lens to the third lens on the optical axis, and the lenses with refractive power in the eyepiece optical system are only the first lens and the second lens And the third lens. 如申請專利範圍第1項所述的目鏡光學系統,其中該目鏡光學系統更符合G23/(G12+T3)≦2.000,其中 G23為該第二透鏡到該第三透鏡在該光軸上的一空氣間隙,G12為該第一透鏡到該第二透鏡在該光軸上的一空氣間隙,且T3為該第三透鏡在該光軸上的一厚度。The eyepiece optical system as described in item 1 of the patent application scope, wherein the eyepiece optical system is more in line with G23/(G12+T3)≦2.000, where G23 is the one from the second lens to the third lens on the optical axis For the air gap, G12 is an air gap between the first lens and the second lens on the optical axis, and T3 is a thickness of the third lens on the optical axis. 如申請專利範圍第1項所述的目鏡光學系統,其中該目鏡光學系統更符合ALT/(T1+G12+T3)≦1.700,其中ALT為該第一透鏡至該第三透鏡在該光軸上的透鏡厚度的總和,G12為該第一透鏡到該第二透鏡在該光軸上的一空氣間隙,且T3為該第三透鏡在該光軸上的一厚度。The eyepiece optical system as described in item 1 of the patent application scope, wherein the eyepiece optical system is more in line with ALT/(T1+G12+T3)≦1.700, where ALT is the first lens to the third lens on the optical axis The sum of the lens thicknesses of, G12 is an air gap between the first lens and the second lens on the optical axis, and T3 is a thickness of the third lens on the optical axis. 如申請專利範圍第1項所述的目鏡光學系統,其中該目鏡光學系統更符合T2/T3≦2.300,其中T2為該第二透鏡在該光軸上的一厚度,且T3為該第三透鏡在該光軸上的一厚度。The eyepiece optical system as described in item 1 of the patent scope, wherein the eyepiece optical system is more in line with T2/T3≦2.300, where T2 is a thickness of the second lens on the optical axis, and T3 is the third lens A thickness on the optical axis. 如申請專利範圍第1項所述的目鏡光學系統,其中該目鏡光學系統更符合TTL/(T3+G3D)≦2.500,其中TTL為該第一透鏡的該目側面到該顯示畫面在該光軸上的一距離,且T3為該第三透鏡在該光軸上的一厚度。The eyepiece optical system as described in item 1 of the patent application scope, wherein the eyepiece optical system is more in line with TTL/(T3+G3D)≦2.500, where TTL is the eye side of the first lens to the display screen at the optical axis A distance above and T3 is a thickness of the third lens on the optical axis. 如申請專利範圍第1項所述的目鏡光學系統,其中該目鏡光學系統更符合T1/T2≦1.400,其中T2為該第二透鏡在該光軸上的一厚度。The eyepiece optical system as described in item 1 of the patent application range, wherein the eyepiece optical system is more in line with T1/T2≦1.400, where T2 is a thickness of the second lens on the optical axis. 如申請專利範圍第1項所述的目鏡光學系統,其中該目鏡光學系統更符合EFL/G3D≦2.000,其中EFL為該目鏡光學系統的系統焦距。The eyepiece optical system as described in item 1 of the patent application scope, wherein the eyepiece optical system is more in line with EFL/G3D≦2.000, where EFL is the system focal length of the eyepiece optical system. 如申請專利範圍第1項所述的目鏡光學系統,其中該目鏡光學系統更符合T1/G23≦2.500,其中G23為該第二透鏡到該第三透鏡在該光軸上的一空氣間隙。The eyepiece optical system as described in item 1 of the patent application scope, wherein the eyepiece optical system is more in line with T1/G23≦2.500, where G23 is an air gap between the second lens and the third lens on the optical axis. 如申請專利範圍第1項所述的目鏡光學系統,其中該目鏡光學系統更符合(AAG+T1)/T2≦2.300,其中T2為該第二透鏡在該光軸上的一厚度。The eyepiece optical system as described in item 1 of the patent application range, wherein the eyepiece optical system is more in line with (AAG+T1)/T2≦2.300, where T2 is a thickness of the second lens on the optical axis. 如申請專利範圍第1項所述的目鏡光學系統,其中該目鏡光學系統更符合ALT/T2≦3.300,其中ALT為該第一透鏡至該第三透鏡在該光軸上的透鏡厚度的總和,且T2為該第二透鏡在該光軸上的一厚度。The eyepiece optical system as described in item 1 of the patent application scope, wherein the eyepiece optical system is more in line with ALT/T2≦3.300, where ALT is the sum of the lens thicknesses of the first lens to the third lens on the optical axis, And T2 is a thickness of the second lens on the optical axis. 如申請專利範圍第1項所述的目鏡光學系統,其中該目鏡光學系統更符合AAG/G23≦1.200,其中G23為該第二透鏡到該第三透鏡在該光軸上的一空氣間隙。The eyepiece optical system as described in item 1 of the patent scope, wherein the eyepiece optical system is more in line with AAG/G23≦1.200, where G23 is an air gap between the second lens and the third lens on the optical axis. 如申請專利範圍第1項所述的目鏡光學系統,其中該目鏡光學系統更符合TL/G23≦6.800,其中G23為該第二透鏡到該第三透鏡在該光軸上的一空氣間隙。The eyepiece optical system as described in item 1 of the patent application range, wherein the eyepiece optical system is more in line with TL/G23≦6.800, where G23 is an air gap between the second lens and the third lens on the optical axis. 如申請專利範圍第1項所述的目鏡光學系統,其中該目鏡光學系統更符合(T1+G12)/T2≦1.700,其中G12為該第一透鏡到該第二透鏡在該光軸上的一空氣間隙,且T2為該第二透鏡在該光軸上的一厚度。The eyepiece optical system as described in item 1 of the patent application scope, wherein the eyepiece optical system is more in line with (T1+G12)/T2≦1.700, where G12 is the one from the first lens to the second lens on the optical axis There is an air gap, and T2 is a thickness of the second lens on the optical axis. 如申請專利範圍第1項所述的目鏡光學系統,其中該目鏡光學系統更符合(T1+G12+T2+G23)/T3≦6.400,其中G12為該第一透鏡到該第二透鏡在該光軸上的一空氣間隙,T2為該第二透鏡在該光軸上的一厚度,G23為該第二透鏡到該第三透鏡在該光軸上的一空氣間隙,且T3為該第三透鏡在該光軸上的一厚度。The eyepiece optical system as described in item 1 of the patent application scope, wherein the eyepiece optical system is more in line with (T1+G12+T2+G23)/T3≦6.400, where G12 is the first lens to the second lens in the light An air gap on the axis, T2 is a thickness of the second lens on the optical axis, G23 is an air gap on the optical axis from the second lens to the third lens, and T3 is the third lens A thickness on the optical axis. 如申請專利範圍第1項所述的目鏡光學系統,其中該目鏡光學系統更符合3.100≦ALT/AAG,其中ALT為該第一透鏡至該第三透鏡在該光軸上的透鏡厚度的總和。The eyepiece optical system as described in item 1 of the patent application range, wherein the eyepiece optical system is more in conformity with 3.100≦ALT/AAG, where ALT is the sum of the lens thicknesses of the first lens to the third lens on the optical axis. 如申請專利範圍第1項所述的目鏡光學系統,其中該目鏡光學系統更符合0.900≦EFL/TL,其中EFL為該目鏡光學系統的系統焦距。The eyepiece optical system as described in item 1 of the patent application scope, wherein the eyepiece optical system is more in line with 0.900≦EFL/TL, where EFL is the system focal length of the eyepiece optical system. 如申請專利範圍第1項所述的目鏡光學系統,其中該目鏡光學系統更符合1.800≦TTL/ALT,其中TTL為該第一透鏡的該目側面到該顯示畫面在該光軸上的一距離,且ALT為該第一透鏡至該第三透鏡在該光軸上的透鏡厚度的總和。The eyepiece optical system as described in item 1 of the patent scope, wherein the eyepiece optical system is more in line with 1.800≦TTL/ALT, where TTL is a distance from the eye side of the first lens to the display screen on the optical axis And ALT is the sum of the lens thicknesses of the first lens to the third lens on the optical axis. 如申請專利範圍第1項所述的目鏡光學系統,其中該目鏡光學系統更符合1.400≦TTL/TL,其中TTL為該第一透鏡的該目側面到該顯示畫面在該光軸上的一距離。The eyepiece optical system as described in item 1 of the patent scope, wherein the eyepiece optical system is more in conformity with 1.400≦TTL/TL, where TTL is a distance from the eye side of the first lens to the display screen on the optical axis . 如申請專利範圍第1項所述的目鏡光學系統,其中該目鏡光學系統更符合1.300≦(G12+T2)/G23,其中G12為該第一透鏡到該第二透鏡在該光軸上的一空氣間隙,T2為該第二透鏡在該光軸上的一厚度,且G23為該第二透鏡到該第三透鏡在該光軸上的一空氣間隙。The eyepiece optical system as described in item 1 of the patent application scope, wherein the eyepiece optical system is more in line with 1.300≦(G12+T2)/G23, where G12 is the first lens to the second lens on the optical axis For the air gap, T2 is a thickness of the second lens on the optical axis, and G23 is an air gap of the second lens to the third lens on the optical axis. 如申請專利範圍第1項所述的目鏡光學系統,其中該目鏡光學系統更符合2.500≦250mm/EFL≦25.000,其中EFL為該目鏡光學系統的系統焦距。The eyepiece optical system as described in item 1 of the patent application scope, wherein the eyepiece optical system is more in conformity with 2.500≦250mm/EFL≦25.000, where EFL is the system focal length of the eyepiece optical system.
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