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CN104237981A - Single ellipsoidal-surface beam expanding lens - Google Patents

Single ellipsoidal-surface beam expanding lens Download PDF

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CN104237981A
CN104237981A CN201410419007.7A CN201410419007A CN104237981A CN 104237981 A CN104237981 A CN 104237981A CN 201410419007 A CN201410419007 A CN 201410419007A CN 104237981 A CN104237981 A CN 104237981A
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ellipsoidal
lens
ellipsoid
radius
beam expansion
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CN104237981B (en
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秦华
冯东太
刘波
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Shandong University of Technology
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Shandong University of Technology
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Abstract

本发明公开了一种单个椭球面扩束透镜,该椭球面透镜由前后两个椭球面、垂轴圆环平面和圆柱侧面所围成,所述椭球面透镜关于其中心轴旋转对称。只用一片椭球面透镜就可以实现扩束功能,大大简化了扩束系统的结构,也使输出光束光斑的均匀性大大提高。该椭球面透镜的扩束比为17.40,输入光束的最大半径为5mm,输出光束的最大半径为87mm。该椭球面扩束镜的材料是SK2玻璃,折射率等于1.600。

The invention discloses a single ellipsoidal beam expander lens, which is surrounded by two ellipsoidal surfaces, a vertical axis circular plane and a cylindrical side surface. The ellipsoidal lens is rotationally symmetrical about its central axis. Only one ellipsoidal lens can realize the beam expansion function, which greatly simplifies the structure of the beam expansion system and greatly improves the uniformity of the output beam spot. The beam expansion ratio of the ellipsoidal lens is 17.40, the maximum radius of the input beam is 5mm, and the maximum radius of the output beam is 87mm. The material of the ellipsoidal beam expander is SK2 glass with a refractive index equal to 1.600.

Description

一种单个椭球面扩束透镜A single ellipsoid beam expander lens

技术领域 technical field

本发明涉及光学镜头,具体涉及到一种用于扩束的单个椭球面透镜,目的是将光束半径为r的平行光束输入到单个椭球面透镜输出光束半径大于R的平行出射光束,R>r,且不改变光束的平面波特性,属于光学设计和应用领域。 The present invention relates to an optical lens, in particular to a single ellipsoidal lens for beam expansion, the purpose of which is to input a parallel beam with a beam radius of r into a single ellipsoidal lens to output a parallel outgoing beam with a beam radius greater than R , R > r , without changing the plane wave characteristics of the light beam, and belongs to the field of optical design and application.

背景技术 Background technique

在与光有关的实验中,常常需要光的扩束(缩束)。激光器出射光束很细,为了更多的应用也必须对出射光扩束和准直。最常用的扩束系统有折射式系统、反射式系统和折反混合系统。相比于折射系统,反射式扩束系统没有色差,且容易实现大口径高能量反射,在航天遥感等领域应用广泛。折射式扩束系统结构比较简单,但当变倍比较大时,要求有的大透镜口径,使得与口径有关的球差、慧差等像差显著增大,影响了光束的准直性和均匀性。因此折射式扩束系统只是被应用在变倍比要求较小扩束(缩束)系统中。本文也主要研究折射式扩束系统,但这种扩束系统由球面组成,它的球差与透镜口径无关,几乎为0。 In experiments related to light, it is often necessary to expand (reduce) the beam of light. The output beam of the laser is very thin, and the output beam must be expanded and collimated for more applications. The most commonly used beam expander systems are refractive systems, reflective systems, and catadioptric hybrid systems. Compared with the refraction system, the reflective beam expander system has no chromatic aberration, and is easy to realize large-aperture high-energy reflection, and is widely used in aerospace remote sensing and other fields. The structure of the refractive beam expander system is relatively simple, but when the zoom ratio is large, a large lens aperture is required, which significantly increases the spherical aberration, coma and other aberrations related to the aperture, which affects the collimation and uniformity of the beam. sex. Therefore, the refractive beam expander system is only used in the beam expander (beam shrinker) system that requires a small zoom ratio. This paper also mainly studies the refractive beam expander system, but this beam expander system is composed of a spherical surface, and its spherical aberration has nothing to do with the lens aperture, which is almost zero.

传统的折射式扩束系统,至少有两个单个透镜构成,使两个不同焦距单个透镜的焦点重合,扩束比即为两透镜的焦距之比。为了提高变倍比,不仅需要增大透镜口径,还需要增加镜片数量。但这两种方法又会引起衍射散斑条纹,影响扩束(缩束)光斑的均匀性。镜片数量的增加还增加了系统装配调试的难度。根据椭球面特殊的光学折射特性和折射定律的矢量形式,本文提出了用单个椭球面透镜作为扩束或缩束镜,即只靠一片椭球面透镜就可实现光的扩束缩束功能,并且当透镜的口径增大时,球差还几乎保持为0,解决了影响系统调配困难和出射光斑不均匀的问题。 The traditional refractive beam expander system consists of at least two single lenses, so that the focal points of two single lenses with different focal lengths coincide, and the beam expander ratio is the ratio of the focal lengths of the two lenses. In order to increase the zoom ratio, not only the lens diameter needs to be increased, but also the number of lenses needs to be increased. However, these two methods will cause diffraction speckle fringes and affect the uniformity of the beam expansion (beam reduction) spot. The increase in the number of lenses also increases the difficulty of system assembly and debugging. According to the special optical refraction characteristics of the ellipsoid and the vector form of the law of refraction, this paper proposes to use a single ellipsoid lens as a beam expander or beam reducer, that is, only one ellipsoid lens can realize the beam expansion and contraction function of light, and When the aperture of the lens increases, the spherical aberration remains almost zero, which solves the problems affecting the difficulty of system adjustment and the unevenness of the exit spot.

发明内容 Contents of the invention

本发明要解决的技术问题就是克服现有折射式扩束系统至少由两片镜片组成、装配调试麻烦且出射光斑不均匀的问题。提出了一种用单个透镜就可实现扩束功能的椭球面透镜,即只靠一片椭球面透镜就能完成光的扩束,免去了两片镜或多片镜焦点对准的麻烦,提高了扩束光斑的均匀性。 The technical problem to be solved by the present invention is to overcome the problems that the existing refractive beam expander system is composed of at least two lenses, the assembly and debugging are troublesome, and the outgoing light spots are not uniform. A kind of ellipsoidal lens that can realize the function of beam expansion with a single lens is proposed, that is, only one ellipsoidal lens can complete the beam expansion of light, which avoids the trouble of aligning the focus of two mirrors or multiple mirrors, and improves The uniformity of the expanded beam spot is improved.

本发明的椭球面透镜结构如图1所示,椭球面透镜由椭球面(1)、椭球面(2)、垂轴圆环平面(3)和侧面(4)所围成,所述椭球面透镜关于其中心轴旋转对称;光束半径为r的平行入射光束,沿光轴入射到椭球面(1)上,经椭球面(1)第一次折射后照射到椭球面(2)上,再经椭球面(2)第二次折射后平行于光轴出射,出射光束半径R,R>r,实现光的扩束;逆光路为缩束。 The structure of the ellipsoidal lens of the present invention is shown in Figure 1. The ellipsoidal lens is surrounded by an ellipsoidal surface (1), an ellipsoidal surface (2), a vertical axis circular plane (3) and a side surface (4). The ellipsoidal surface The lens is rotationally symmetrical about its central axis; the parallel incident light beam with beam radius r is incident on the ellipsoidal surface (1) along the optical axis, and is refracted by the ellipsoidal surface (1) for the first time and irradiates on the ellipsoidal surface (2), and then After the second refraction by the ellipsoidal surface (2), it emerges parallel to the optical axis, and the radius of the outgoing beam is R, R>r, which realizes the expansion of the light beam; the reverse optical path is the contraction of the beam.

优选的,所述椭球面(1)应满足下列公式的要求: Preferably, the ellipsoid (1) should meet the requirements of the following formula:

                                                                       (1) (1)

其中:,0≤h≤5.75 mm,此椭球面的最大球差为10-15 mm数量级,在玻璃中焦距为12 mm。 in: , 0≤ h ≤5.75 mm, the maximum spherical aberration of this ellipsoid is on the order of 10 -15 mm, and the focal length in glass is 12 mm.

优选的,所述椭球面(2)应满足下列公式的要求: Preferably, the ellipsoid (2) should meet the requirements of the following formula:

                                                (2) (2)

其中:,0≤h≤95mm,此椭球面的最大球差为10-14 mm数量级,在玻璃中焦距为209 mm。 in: , 0≤ h ≤95mm, the maximum spherical aberration of this ellipsoid is on the order of 10 -14 mm, and the focal length in glass is 209 mm.

优选的,所述椭球面透镜的垂轴圆环平面(3)的内外半径分别为5.75mm和95 mm,垂轴圆环平面的位置在x=6.86 mm处;所述椭球面透镜的侧面(4)为一圆柱侧面被圆环平面(3)和椭球面(2)所截部分,其底面半径为95 mm;所述椭球面透镜的椭球面(1)顶点到椭平面(2)顶点的距离d=221 mm。 Preferably, the inner and outer radii of the vertical axis circular plane (3) of the ellipsoidal lens are 5.75 mm and 95 mm respectively, and the position of the vertical axis circular plane is at x=6.86 mm; the side of the ellipsoidal lens ( 4) It is the part of a cylinder whose side is cut by the circular plane (3) and the ellipsoidal surface (2), and its bottom surface has a radius of 95 mm; The distance d = 221mm.

优选的,所述椭球面透镜的材料为SK2玻璃,其折射率为1.60。 Preferably, the material of the ellipsoidal lens is SK2 glass with a refractive index of 1.60.

优选的,平行于光轴入射到非球面(1)上的最大光束半径为rmax=5mm。 Preferably, the maximum beam radius incident on the aspheric surface (1) parallel to the optical axis is r max =5mm.

本光学系统的优点是:1 .同现有技术相比,本发明提供的扩束镜系统只有一片透镜,免去了多片透镜装配调试的麻烦。2 .可使出射光束扩大17.40倍,并且不改变光束的平面波特性。 The advantages of this optical system are: 1. Compared with the prior art, the beam expander system provided by the present invention has only one lens, which saves the trouble of assembling and debugging multiple lenses. 2 . The outgoing beam can be enlarged by 17.40 times without changing the plane wave characteristics of the beam.

附图说明Description of drawings

图1为本发明的椭球面扩束透镜实施例的二维结构示意图; Fig. 1 is the two-dimensional structure schematic diagram of the ellipsoid beam expander lens embodiment of the present invention;

图2为本发明的椭球面扩束透镜实施例的三维结构示意图; Fig. 2 is the three-dimensional structure schematic diagram of the ellipsoid beam expander lens embodiment of the present invention;

图3为本发明的椭球面扩束透镜实施例的光束扩束过程的二维模拟图示; Fig. 3 is the two-dimensional simulation diagram of the beam expansion process of the ellipsoidal beam expander lens embodiment of the present invention;

图4为本发明的单个椭球面扩束透镜扩束过程的三维模拟图示; Fig. 4 is the three-dimensional analog diagram of the beam expansion process of a single ellipsoidal beam expander lens of the present invention;

图5入射光线在同一平面内时,单个椭球面扩束透镜扩束过程的三维模拟图示; Figure 5 is a three-dimensional simulation illustration of the beam expansion process of a single ellipsoidal beam expander lens when the incident light rays are in the same plane;

图6为本发明的椭球面扩束透镜实施例在x=250 mm处垂轴平面上的光强分布示意图; Fig. 6 is a schematic diagram of the light intensity distribution on the vertical axis plane at x =250 mm of the embodiment of the ellipsoidal beam expander lens of the present invention;

附图标记如下: The reference signs are as follows:

   附图1中的d为椭球面(1)的顶点到椭球面(2)的顶点之间的距离。 d in accompanying drawing 1 is the distance between the apex of the ellipsoid (1) and the apex of the ellipsoid (2).

具体实施方式Detailed ways

根据图 1 所示的椭球面透镜的结构,设计了一扩束倍率为17.40倍的椭球面透镜,透镜长度(椭球面(1)的顶点到椭球面(2)的顶点的距离)为d=221 mm,高度为95 mm,椭球面透镜的材料是SK2玻璃,折射率等于1.60。 According to the structure of the ellipsoidal lens shown in Figure 1, an ellipsoidal lens with a beam expansion rate of 17.40 times is designed, and the lens length (the distance from the apex of the ellipsoidal surface (1) to the apex of the ellipsoidal surface (2)) is d = 221 mm and a height of 95 mm, the material of the ellipsoidal lens is SK2 glass with a refractive index equal to 1.60.

光线只经过透镜的两个椭球面,椭球面(1)由方程 The light only passes through the two ellipsoidal surfaces of the lens, and the ellipsoidal surface (1) is given by the equation

决定,其中:,0≤h≤5.75mm, 此椭球面的最大球差为10-15 mm数量级,在玻璃中焦距为12 mm。 decision, where: , 0≤ h ≤5.75mm, the maximum spherical aberration of this ellipsoid is on the order of 10 -15 mm, and the focal length in glass is 12 mm.

椭球面(2)由方程决定,其中:,0≤h≤95mm,此椭球面的最大球差为10-14 mm数量级,在玻璃中焦距为209 mm。 The ellipsoid (2) is given by the equation decision, where: , 0≤ h ≤95mm, the maximum spherical aberration of this ellipsoid is on the order of 10 -14 mm, and the focal length in glass is 209 mm.

使椭球面(1)与椭球面(2)在玻璃中的焦点重合,则椭球面(1)的顶点与椭球面(2)的顶点之间的距离为221 mm。 Make the foci of the ellipsoid (1) and the ellipsoid (2) coincide in the glass, then the distance between the apex of the ellipsoid (1) and the vertex of the ellipsoid (2) is 221 mm.

椭球面透镜的垂轴圆环平面内外半径分别为5.75mm和95 mm,垂轴圆环平面的位置在x=6.86 mm处;椭球面透镜的侧面为一圆柱侧面被椭球面和圆环平面所截部分,圆柱的底面半径为95 mm;透镜侧面和圆环平面只是起连接两个椭球面作用,并不是工作面。 The inner and outer radii of the vertical axis circular plane of the ellipsoidal lens are 5.75 mm and 95 mm respectively, and the position of the vertical axis circular plane is at x=6.86 mm; For the sectional part, the radius of the bottom surface of the cylinder is 95 mm; the side surface of the lens and the plane of the ring are only used to connect two ellipsoidal surfaces, not the working surface.

最大光束半径为rmax=5mm的平行于光轴的入射光束入射到椭球面(1)上,经椭球面(1)第一次折射后到达椭球面(2),再经椭球面(2)第二次折射后平行于光轴出射,最大出射光束半径为87 mm。 The incident beam parallel to the optical axis with a maximum beam radius of r max =5mm is incident on the ellipsoidal surface (1), refracted by the ellipsoidal surface (1) for the first time, reaches the ellipsoidal surface (2), and then passes through the ellipsoidal surface (2) After the second refraction, it exits parallel to the optical axis, and the maximum outgoing beam radius is 87 mm.

假定入射波为平面波,在垂轴方向上光强均匀分布,那么出射波也为平面波,出射波光强在垂轴平面上也均匀分布。  Assuming that the incident wave is a plane wave, and the light intensity is uniformly distributed in the vertical axis direction, then the outgoing wave is also a plane wave, and the light intensity of the outgoing wave is also uniformly distributed in the vertical axis plane. the

Claims (6)

1.一种用于扩束的单个椭球面透镜,其特征在于:椭球面透镜由椭球面(1)、椭球面(2)、垂轴圆环平面(3)和侧面(4)所围成,所述椭球面透镜关于其中心轴旋转对称;光束半径为r的平行入射光束,沿光轴入射到椭球面(1)上,经椭球面(1)第一次折射后照射到椭球面(2)上,再经椭球面(2)第二次折射后平行于光轴出射,出射光束半径RR>r,实现光的扩束;逆光路为缩束。 1. A single ellipsoidal lens for beam expansion, characterized in that: the ellipsoidal lens is surrounded by an ellipsoidal surface (1), an ellipsoidal surface (2), a vertical ring plane (3) and a side surface (4) , the ellipsoidal lens is rotationally symmetrical about its central axis; the parallel incident light beam with beam radius r is incident on the ellipsoidal surface (1) along the optical axis, and is irradiated to the ellipsoidal surface (1) after the first refraction by the ellipsoidal surface (1) 2) above, after the second refraction by the ellipsoidal surface (2), it exits parallel to the optical axis, and the radius of the outgoing beam is R , R > r , to realize the expansion of the light beam; the reverse optical path is the contraction of the beam. 2.如权利要求1所述的一种用于扩束的单个椭球面透镜,其特征在于:所述椭球面(1)应满足下列公式的要求: 2. A single ellipsoid lens for beam expansion according to claim 1, characterized in that: the ellipsoid (1) should meet the requirements of the following formula:                                                                       (1) (1) 其中:, 0≤h≤5.75 mm。 in: , 0 ≤ h ≤ 5.75 mm. 3.如权利要求1所述的一种用于扩束的单个椭球面透镜,其特征在于:所述椭球面(2)应满足下列公式的要求: 3. A single ellipsoid lens for beam expansion according to claim 1, characterized in that: the ellipsoid (2) should meet the requirements of the following formula:                                                (2) (2)  其中:,0≤h≤95 mm。 in: , 0 ≤ h ≤ 95 mm. 4.如权利要求1所述的一种用于扩束的单个椭球面透镜,其特征在于:所述椭球面透镜的垂轴圆环平面(3)的内外半径分别为5.75mm和95 mm,垂轴圆环平面的位置在x=6.86 mm处;所述椭球面透镜的侧面(4)为一圆柱侧面被椭球面(2)和圆环平面(3)所截部分,其底面半径为95 mm;所述椭球面透镜的椭球面(1)顶点到椭平面(2)顶点的距离d=221 mm。 4. A single ellipsoidal lens for beam expansion according to claim 1, characterized in that: the inner and outer radii of the vertical axis circular plane (3) of the ellipsoidal lens are 5.75 mm and 95 mm respectively, The position of the vertical axis circular plane is at x=6.86 mm; the side surface (4) of the ellipsoidal lens is a part of a cylindrical side cut by the ellipsoidal surface (2) and the circular plane (3), and the radius of the bottom surface is 95 mm; the distance d from the vertex of the ellipsoidal surface (1) to the vertex of the ellipsoidal surface (2) of the ellipsoidal lens is 221 mm. 5.如权利要求1所述的一种用于扩束的单个椭球面透镜,其特征在于:所述椭球面透镜的材料为SK2玻璃,其折射率为1.60。 5. A single ellipsoidal lens for beam expansion as claimed in claim 1, characterized in that: the material of the ellipsoidal lens is SK2 glass with a refractive index of 1.60. 6.如权利要求1所述的一种用于扩束的单个椭球面透镜,其特征在于:平行于光轴入射到椭球面(1)上的最大光束半径为rmax=5 mm。 6. A single ellipsoidal lens for beam expansion according to claim 1, characterized in that: the maximum beam radius incident on the ellipsoidal surface (1) parallel to the optical axis is r max =5 mm.
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CN1487328A (en) * 2003-07-08 2004-04-07 华中科技大学 An Array Angular Beam Expander
CN2639917Y (en) * 2003-07-08 2004-09-08 华中科技大学 Array type angle extender
US8031414B1 (en) * 2009-04-24 2011-10-04 Jefferson Science Associates, Llc Single lens laser beam shaper
CN103176226A (en) * 2012-11-03 2013-06-26 西安华科光电有限公司 Dodging special-shaped lens used for shaping semiconductor laser leams, dodging laser source and optical system

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN104898284A (en) * 2015-04-30 2015-09-09 山东师范大学 Aspheric extender lens

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