声光可调谐滤光器的等值点理论

系统地给出了满足平行切线动量匹配条件下的声光相互作用关系曲线 ,发现仅当光的入射方向与晶体光轴间的夹角约为 5 6°时 ,在可见至近红外光谱范围内 ,同一声波矢量可使o光入射e光衍射和e光入射o光衍射同时满足平行切线动量匹配条件 ,并且这两束衍射光的波长相等。称这一特殊的角度为声光可调谐滤光器理论设计的等值点 ,并通过实验验证了这一分析结果的正确性。应用等值点原理设计声光可调谐滤光器 ,在不降低波长分辨率的前提下可大幅度提高光谱测量的信噪比     

消色差波片

<正> 一、前言波片是物理光学中最基本和常用的光学元件之一,一般由双折射材料制作。其光轴处于通光面上,当寻常光与非常光的延迟数等于R(=μ(λ)d/λ)时,称为R波片。对各种晶体其双折射率μ都是波长的函数,一般随波长增加而减小,所以对R波片,双折射晶片厚度     

双折射滤光片的精确分析

在研究双折射现象中非寻常行为及折射率的新结果的＾（１，２）基础上，建立了准确的光程差模型，给出了无△ｎ＝ｎ０－ｎｅ≤ｎ０（或ｎｅ）近似的双折射滤光片产生位相差的精确公式，新光程差模型正确地描述了调谐滤光片时各段光程的位置大小，新公式不仅适用光轴平行表面的也适用光轴倾斜表面的滤光片，由于调谐滤光片法光轴倾斜的滤光片折射率变化比平行的大，所以，前者具比后者更宽的调谐范围，应用新公式，设计了一块调谐钛宝     

双菱体λ/4消色差相位延迟器的设计

根据菲涅尔全内反射相变理论,给出了双菱体λ/4消色差器的结构设计、性能分析和测量方法.由有效通光孔径和光线追迹设计出BK7玻璃在波长532 nm时相位延迟λ/4的双菱体的结构,用作532 nm至1 064 nm波长范围的标准λ/4相位延迟器.理论分析了入射角变化和波长变化对双菱体相位延迟的影响,当入射角变化限制在±4.3°以内时,其影响得到补偿;波长从532 nm到1 064 nm产生的误差为－0.65°.采用椭偏法中的消光技术,分别实测了双菱体在532 nm和1 064 nm波长下的相位延迟为：90.08±0.14°和88.99±0.1°,可知两不同波长产生的相位延迟误差为－1.09°.     

秒级五角棱镜加工的探讨

秒级五角棱镜是光学测量仪器中常用的重要附件之一。它可使准直仪器的光轴精确地转折90°,以建立与基准光轴相互垂直的平面或直线。五角棱镜的主要要求是:光线由90°角的任意一个面入射,先后经过45°角的两个面各反射一次,再从90°角的另一个面射出,入射光线与出射光线之间的夹角恒等于90°(下称使用角),其精度要求为1″～2″(图1)。     

几种新型LD泵浦Nd∶YAG双频激光器

介绍了几种LD泵浦Nd∶YAG双频激光器 ,均应用双折射原理实现。一类是利用自然双折射效应 ,在激光谐振腔内加入自然双折射元件 ;另一类则是对YAG晶片加压力 ,使YAG晶片本身成为应力双折射元件。由于双折射效应使激光在谐振腔内产生偏振方向互相垂直的寻常光 (o光 )和非寻常光 (e光 )两种成分。因为o光和e光在双折射元件中有着不同的折射率 ,因此一个激光谐振腔变成了具有两个物理长度的谐振腔 ,从而产生双频激光。改变自然双折射元件或对YAG晶片施加的压力 ,可调谐频差。实验中获得 10 9Hz量级的大频差 ,合成波长可到几十毫米 ,适用于绝对距离干涉测量     

双向分束角对称的偏光分束镜设计与性能分析

为了获得分束角对称的偏光分束棱镜，在双Wollaston棱镜结构的基础上，通过合理设计棱镜左右两端晶体光轴的取向，使棱镜整体呈中心切面对称；在保证对正向入射的光对称分束的同时，对反向入射光同样可以对称分束，达到了双向对称分束的目的；在此基础上给出了晶体光轴的旋转角δ与棱镜结构角S以及与波长的关系；并分析了对633 nm设计的棱镜用于其他波长时分束角的对称性.结果表明：在±300 nm的光谱范围内，分束角的不对称度均小于0.24°.     

单轴晶体的光程差和Lyot型滤光器的视场

 建立了以光线入射方向和晶体光轴方向为基准的入射坐标系，利用波法线反曲面方程和电磁场在晶体折射界面处切向分量连续性的边界条件，得到了晶体中波法线方向、射线方向、波法线折射率和射线折射率的表达式。从非常光的射线方向和射线折射率出发，得到了在任意的晶体光轴方向和入射角条件下，光通过单轴晶体后寻常光、非常光的光程差表达式。对Lyot型滤光单元的透射率和视场进行了计算分析后发现，滤光单元的透射率随光线入射角的变化呈现一定的周期性，视场随光轴倾角的增大而减小。得出了透射率和视场随光轴倾角(光轴与晶体表面的夹角)和光线入射角(光线在晶体表面的入射角)的变化规律。讨论了通过改变晶体倾角实现滤光器调谐和补偿晶体厚度加工误差等技术问题。     

单轴晶体和各向同性介质交界面上e光光线的折射

根据光在各向异性介质中遵从的Ｆｅｒｍａｔ 原理,较系统地讨论了单轴晶体和各向同性介质交界面上的ｅ 光（ 非常光） 光线的折射,得到了光轴在任意取向情况下的折射基本公式。同时给出一般情况下确定ｅ 光线折射角的具体解。在此基础上对几种特殊的光轴取向给予了较详细的讨论。最后讨论了ｅ 光线的折射公式与ｅ 光波法线的折射定律的等价性,从而说明Ｆｅｒｍａｔ 原理与光的电磁波理论存在内在的一致性。     

聚合物阵列波导光栅的大范围电-光波长调谐滤波器

从阵列波导光栅的光栅方程入手,分析了聚合物阵列波导光栅采用电.光效应进行波长调谐的原理,提出了具有单推挽结构和双推挽结构的电.光波长可调谐滤波器.并用Optiwave软件分别对无推挽结构和推挽结构波长调谐器进行了计算机仿真.结果表明:当外加电压从－100 V 增加到+100 V 时,前者的波长调谐范围约为5 nm,而后者中,单推挽结构的波长调谐范围为约10 nm,双推挽结构的波长调谐范围可达20 nm.     

Optimum design of birefringent filter

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General method for determining the first order gradients of skew rays of optical systems with non-coplanar optical axes

Current commercial software for the analysis and design of optical systems uses finite difference (FD) approximation methodology to estimate the gradient matrix of a ray with respect to system variables. However, FD estimates are intrinsically inaccurate and are subject to gross error when the denominator is excessively small relative to the numerator. This paper avoids these problems and determines the gradient matrix of the exit ray traveling along an optical system with a non-coplanar axis. To achieve this, the gradient matrix of the rays reflected/refracted by flat or spherical boundary surfaces are first determined by directly differentiating the skew-ray tracing equations. By introducing a Jacobian matrix, which represents the partial derivatives specifying the rates of changes between boundary variables and element variables, one can obtain the gradient matrix of the exit ray of an element with respect to its independent variables. This methodology will be useful in the analysis of rays and in design of optical systems with non-coplanar axis. A right-angle prism is used as illustrative example to validate its applications.     

Amplitudenverhältnisse bei der Reflexion und Brechung des Lichtes an der Grenzebene zwischen isotropen und anisotropen Medien

Relations for the Amplitudes in Case of Reflection and Refraction of Light at the Boundary Plane between Isotropic and Anisotropic Media Relations for the amplitudes of the electric fields of plane monochromatic waves reflected and refracted at the boundary plane between isotropic and arbitrarily anisotropic media are derived from the Maxwell theory both for incidence from the isotropic or from the anisotropic medium. Furthermore, the vectorial amplitudes of the uniradial oscillations are determined. The following special cases of the general formulae are considered: 1. normal incidence, 2. optic axis in direction of the reflected respectively refracted wave in the anisotropic medium, 3. normal and parallel polarization of the partial waves in the anisotropic medium with respect to the plane of incidence.     

Reflexion und Brechung des Lichtes an einer anisotropen Schicht

Reflection and Refraction of Light by an Anisotropic Layer The linear problem of reflection and refraction of plane monochromatic electromagnetic waves by a plane-parallel homogeneous anisotropic layer between (in general different) homogeneous optically isotropic semiinfinite media is treated on the basis of MAXWELL 's equations and the boundary conditions following from them. The permittivity tensor of the anisotropic layer is assumed to be widely arbitrary and therefore asymmetric, neglecting only the spatial dispersion, i. e., the dependence on the wave vector. The electrical fields of reflected, refracted, and transmitted waves are calculated in dependence on the electric field of the incident wave. The conditions for waveguide modes of the layer in the absence of incident waves are obtained from the vanishing of a determinant. The general formulae are specialized to the cases of normal incidence and also of perpendicular and parallel polarisation, relatively to the plane of incidence, of the refracted partial waves in the anisotropic layer thus obtaining simplifications in these cases. The interesting cases of uniaxial layers, when the optic axis lies either parallel or perpendicular to the plane of incidence, belong to the last mentioned special cases of perpendicular and parallel polarisation relatively to the plane of incidence.     

Model of a nonhomogeneous medium conducting light

We consider a ray of light propagating within a system of infinitely many adjoining rectangles in a plane with passages between any pair of neighboring ones. The ray is assumed to be reflected by the sides of the rectangles, and is refracted while passing from one rectangle to its neighbor. We prove that if the sizes of the rectangles or the coefficients of refraction inside them are random, then with probability 1 the ray reaches arbitrarily remote rectangles.     

The biosonar field around an Atlantic bottlenose dolphin (Tursiops truncatus)

The use of remote autonomous passive acoustic recorders (PAR) to determine the distribution of dolphins at a given locations has become very popular. Some investigators are using echolocation clicks to gather information on the presence of dolphins and to identify species. However, in all of these cases, the PAR probably recorded mainly off-axis clicks, even some from behind the animals. Yet there is a very poor understanding of the beam pattern and the click waveform and spectrum from different azimuths around the animal's body. The beam pattern completely around an echo locating dolphin was measured at 16 different but equally spaced angles in the horizontal plane using an 8-hydrophone array in sequence. Eight channels of data were digitized simultaneously at a sampling rate of 500 kHz. The resulting beam patterns in both planes showed a continuous drop off in sound pressure with azimuth around the animal and reached levels below -50 dB relative to the signal recorded on the beam axis. The signals began to break up into two components at angles greater than ± 45° in the horizontal plane. The center frequency dropped off from its maximum at 0° in a non-uniform matter.     

光波p分量在单轴晶体表面反射和折射的相位特性

根据单轴晶体的双折射和双反射性质,通过数值计算研究了光轴在入射面内并与晶体界面成任意角时光波p分量在单轴晶体表面反射和折射的相位特性.结果表明,光轴取向对相位变化有较大影响,光从光疏各向同性介质射入单轴晶体时,光轴方向改变反射光p分量的相位突变点,但对折射光p分量相位无影响.光从光密各向同性介质射入单轴晶体未发生全反射时,光轴方向同时影响p分量反射光和折射光的相位突变|发生全反射后,光轴方向影响反射光p分量的相位变化曲线.从单轴晶体出射到光疏各向同性介质未发生全反射时,光轴方向改变反射光p分量的相位跃变规律,折射光p分量在光轴方向和晶面成小角度时在布儒斯特角附近发生相位突变|发生全反射后,反射光p分量的相位变化曲线随光轴方向的改变发生较大变化.     

双折射滤波片的优化参量

研究了双折射滤波片的滤波和调谐性质。利用矩阵方法和反射、透射系数,给出了波片两个界面的菲涅耳系数。利用相移公式和光线轨迹公式,由入射角和光轴方位角可计算波片精确的相移公式。将上述系数和这一波片的相移公式用于琼斯矩阵,得到透射率的本征矩阵。该矩阵的本征值即为波片的透射系数。由此,给出了波片的主要性质(特别是透射宽度),讨论了波片参量(入射角、方位角和厚度)对波片性质的影响。利用相移公式,讨论了波片的调谐性质,并给出了选择参量的最佳范围。对石英波片,最佳参量为:厚度约在1500~2000μm,方位角大于45°,循环系数r尽可能大。在激光器增益较大时,选择较小的入射角。     

Total reflection in a uniaxial crystal–uniaxial crystal interface

Considering an interface between two uniaxial birefringent crystals, four reflected and four refracted waves for each incidence direction are obtained. Along this direction can propagate an ordinary wave and an extraordinary wave. Here, we present the analytic expressions for the four critical angles, from which each refracted wave no more exists as propagating wave. We show the variation in these critical angles for different interfaces varying the orientation of the incidence plane with respect to the optical axes. When both principal refractive indices of the second medium are smaller than those of the first medium, then the four critical angles exist for each incidence plane and for any direction of the optical axes. But, when one of the indices has an intermediate value between the values of the indices of the other crystal, we can chose the optical axes directions in such a way that certain critical angles do not exist. Therefore, we can select the refracted wave that is eliminated by total reflection.     

双折射晶体入射、折射光电场矢量的琼斯描述及界面处菲涅耳方程的修正

为了用琼斯矢量更明确地表示双折射晶体入射光和折射光的偏振状态,利用波法线椭球和物质方程,将入射光和折射光的电场矢量均视为由o振动和e振动两个方向的分量叠加而成,并将之投影到垂直于和平行于入射面的两个方向上。其中,入射光和折射光电场分量之间的关系用菲涅耳方程中的透射系数表示。考虑到e光电场矢量与电位移矢量的差别,对菲涅耳方程进行了一定的修正以满足e光的边界条件。最终给出了入射光和折射光电场矢量的琼斯矢量形式。并通过具体的数值计算说明,菲涅耳方程修正前后e光的透射系数有一定的差别,且e光的电场矢量和电位移矢量之间的分裂不可忽略。