光在光轴取向任意条件下的晶体表面透射率

为了分析一束光在晶体表面的能量损失以及两束折射光的能量比,给出了一种求解反射率和透射率的方法。讨论了光从各向同性介质入射到单轴晶体表面时的折射和反射,注意到了e光线与e光波方向的不同,e光折射率与e光波法线折射率的不同,得出了在界面处应该满足的边界方程。在晶体光轴取向任意的条件下,给出了表明各光束间能量关系的折射率和反射率的理论表达式,为晶体器件特性的研究提供了有力的理论工具。数值模拟表明:得到的结果满足能量守恒;反射到各向同性介质中的光的电场(或磁场)与原入射光的电场(或磁场)不再平行;光轴的取向和入射角的大小对折射的o光、e光的能量比有很大的影响。     

单轴晶体中光轴任意取向时寻常光与非常光间的离散

晶体器件（特别是非线性光学器件）的性能与晶体内o光与e光的离散有很大的关系。详细讨论了光在晶体表面折射时，对于任意光轴取向、任意入射角情况，如何确定o光与e光的离散。借助于转动晶体的方法，形象地描绘出e光相对o光的离散曲线。当入射角较大时，离散曲线的形状 随光轴取向变化很大：从简单的圆或椭圆到复杂的双闭合曲线。理论计算与实验结果很好地吻合。     

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。     

非常偏振光在单轴晶体表面的反射-透射研究

为分析非常偏振光在晶体表面的能量损耗,给出一种求解反射率和透射率的方法,即根据电磁场的边值关系以及晶体的双折射和双反射现象,求解晶体光轴在入射面内时,非常偏振光从各向同性介质入射到晶体和从晶体出射到各向同性介质两种情况的反射率和透射率的方法,并给出反射率和透射率的解析解,同时得到对于晶体光轴在入射面内的情况,光轴的取向对非常偏振光反射率的大小几乎没有影响,但对产生全反射的临界角θc影响较大的结论。实验上用LiNbO3晶体验证了非常偏振光从各向同性介质入射到晶体时的反射率公式。求解方法简单实用,所给的表达式具有一般性,可以直接使用。     

扩展琼斯矩阵在研究Solc滤波器离轴消光比中的应用

根据广泛使用的双折射材料的性质以及滤波器入射角有限的特点,讨论了晶体中o光和e光的关系;根据光的折射定律,将光在晶体表面的折射效果表述为输入、输出折射率矩阵;建立了从入射面坐标系到晶体本征坐标系的坐标变换矩阵;推出了简化的扩展琼斯矩阵。整个过程物理思想清楚,每个矩阵表示的物理意义直观、明确,得到的结果简单,计算量小。用于Solc滤波器消光比的研究,给出了在任意入射角下计算多块晶片Solc滤波器传输特性的一般表达式,对Solc滤波器锥光干涉图作了数值模拟。适用于计算各种类型双折射滤波器的离轴消光比。     

单轴晶体中的负折射现象研究

分析了在各向同性介质和单轴晶体界面实现负折射的最佳条件。计算发现,通过调节光轴角和各向异性参量可以使得负折射现象更为明显,获得最佳光轴角和最大入射临界角。各向异性强的晶体实现负折射的入射角范围可能会很大。讨论了单轴晶体中和负折射率介质中的负折射现象的区别：负折射率介质中的负折射是由负的折射率引起的,单轴晶体中是由于各向异性决定的。同时还发现单轴晶体中的能流负折射现象不能实现Pendry在理论上所预言的完美透镜。     

非常偏振光在单轴晶体表面的全反射分析

利用透射波函数和由菲涅尔公式求解反射相位差并对其求导的方法,分析了非常偏振光在单轴晶体表面发生的全反射现象,求解出晶体光轴在入射面内时,非常偏振光从各向同性介质入射到晶体和从晶体出射到各向同性介质两种情况的隐失波穿透深度和Goos-Hnchen位移的一般表达式。通过计算机模拟给出了单轴晶体为方解石和水晶情况时的穿透深度和Goos-Hnchen位移图像。结果表明,对于不同的晶体,光轴的取向对穿透深度和Goos-Hnchen位移的影响是明显不同的,若选取合适的晶体、光轴取向和入射角,可以得到较大的隐失波穿透深度和Goos-Hnchen位移。     

光在双轴晶体表面的反射与折射

介绍了光在双轴晶体表面反射、折射问题的求解方法.用该方法可以方便精确地计算晶体任意取向下光从任意方向入射时折射光的折射率、偏振态、波矢方向、能流方向. 推导了反射光、折射光的振幅和能量的计算公式. 并以KTP晶体为例，给出了数值计算的结果. 关键词： 双轴晶体 双折射 菲涅耳公式 布儒斯特角     

Fe:LiNbO_3晶体光折变性能分析计算

掺铁铌酸锂晶体的光折变性能 ,一方面取决于晶体材料制备时的工艺条件和参数 ,另一方面和记录光路布置及晶体光轴的选取密切相关。给出了常用的 90°记录光路中光折变晶体折射率调制度的计算方法和公式 ,并分析了写入光的偏振方向、晶体光轴 (C轴 )方向及全息图折射率调制度之间的关系。     

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.     

The space-bandwidth product in the joint transform correlator optical encryption setup

In this work we study the joint transform correlator (JTC) optical encryption setup through the Wigner function. We found analytical expressions for the spatial and spatial frequency extent of the encrypted signal. Since the JTC is inherently an asymmetrical optical system, different expressions were found for each spatial axis and for their associated spatial frequency axes. We also compare these results with the dual random phase encoding technique. Finally, we found an analytical expression for the minimum separation between channels that avoids crosstalk in a wavelength multiplexing JTC architecture.     

光电稳瞄系统装调的关键技术

鉴于光电稳瞄系统的复杂性和科研开发的不可预见性，传统装调技术远不能满足产品科研设计发展的需求。着重分析探讨了光电稳瞄系统中各探测器光谱范围的差异性、光学平台结构的复杂性、光学轴系与回转轴系的一致性带来的精度难以实现的关键技术问题。通过多组自准直仪架设空间过渡基准，采用特定的大口径光轴调校装置，解决了光轴平行性调校问题。以调校光学轴系与机械回转系统的同步精度为出发点,确定了各部件之间的装配及装配误差的影响。通过设计的方位/俯仰天顶测量仪，解决了回转轴系正交性精度调校难题，实现了传统工艺方法和普通调校装置无法达到的设计指标和精度要求。     

Electron-phonon interactions in bct white tin

The electron-phonon interactions are evaluated exactly over the actual shape of the atomic polyhedron as well as the lattice polyhedron of diatomic white tin by making use of simple coordinate axes transformations and crystal symmetry. It is shown that the expressions for the interference factor,S(q, t) of the atomic polyhedron are complex while those for the lattice polyhedron are real and the reciprocal lattice vectors derived from the former do not correspond to those derived either from the latter or from x-ray structure factors. By comparing these expressions with each other as well as with those obtained by approximating these polyhedra by an ellipsoid of equivalent volume, apparent differences between the interference factors of atomic and lattice polyhedra, consequent ambiguity regarding the shape and size of the first Brillouin zone of white tin, validity of the Wigner-Seitz approximation for a diatomic lattice and the manner in which the electron-phonon interactions contribute to acoustical and optical modes of vibration are discussed.     

脉冲激光辐照TiO2/SiO2薄膜热效应研究

 采用1.06 μm单脉冲激光在不同能量密度下辐照特殊光电系统中典型薄膜光学元件，理论分析了激光辐照薄膜元件产生的温度场和热应力场，在此基础上建立了激光辐照多层薄膜的物理模型，计算软件使用ANSYS软件的热分析模块对激光辐照薄膜元件产生的温度场和热应力场进行了模拟，分别给出不同激光能量密度下薄膜表面光斑中心的温度场、径向温度场和轴向温度场分布；同时给出不同能量密度下薄膜的轴向、径向和环向热应力分布。并对激光辐照薄膜元件产生的温度场、热应力场进行了分析，阐明了原因。     

Dispersion energies of interaction between asymmetric molecules

A formula is derived that expresses the contribution of the electric dipole-quadrupole forces to the dispersion energy between two unexcited molecules possessing axial symmetry. The relative orientation of the symmetry axes is arbitrary and the molecules need not be identical. Our formula holds for the case that each molecule belongs to a substance whose optical dispersion curve is characterized by a pair of resonance frequencies. A few orientations of special interest are subjected to numerical analysis based on the experimental data for polarizabilities of some diatomic molecules. Thus estimates are gained of the magnitude of errors inherent in energy values computed as if spherical symmetry obtained.     

On the influence of anisotropy on the magnetic small-angle neutron scattering of superparamagnetic particles

This paper presents a calculation of the magnetic small-angle neutron scattering cross-section resulting from a dilute ensemble of superparamagnetic particles exhibiting uniaxial magnetic anisotropy. We focus on the two experimentally relevant scattering geometries in which the incident neutron beam is perpendicular or parallel to an applied magnetic field, and we discuss several orientations of the anisotropy axes with respect to the field. Magnetic anisotropy has no influence on the magnetic small-angle neutron scattering when the particles are mobile, as is the case e.g. in ferrofluids, but, when the particles are embedded in a rigid non-magnetic matrix and the orientations of the anisotropy axes are fixed, significant deviations compared to the case of negligible anisotropy are expected. For the particluar situation in which the anisotropy axes are parallel to the applied field, closed-form expressions suggest that an effective anisotropy energy or anisotropy-energy distribution can be determined from experimental scattering data. Received 8 November 2001     

Optical Anisotropy of Biaxial Magnetic Crystals

The two–dimensional orthogonal representation of electromagnetic waves in crystals is developed. Simple expressions determining the directions of optical axes and dependence of group and phase velocities and polarization vectors on the direction, in the general case, of triclinic crystals of magnetic dielectrics are obtained. A solution of the Maxwell equations in the form of two isonormal harmonic waves is found to be directly related to the exponential, two–dimensional spinor, and three–dimensional tensor representations.     

用带分划的物镜校正斜筒显微镜光轴

带棱镜的斜筒生物显微镜,如果不精确校正物镜光轴与目镜光轴的同轴度,则在转动物镜转换器,改变物镜放大倍数后,像面中心易越出视场。本文具体分析了两光轴同轴度误差对像面中心位置的影响,提出用带分划的物镜校正两光轴的同轴度,可以彻底解决像面中心越出视场的问题。     

Light scattering by a nematic liquid crystal droplet: Wentzel–Kramers–Brillouin approximation

Light scattering by an optically anisotropic liquid crystal (LC) droplet of a nematic in an isotropic polymer matrix is considered in the Wentzel–Kramers–Brillouin (WKB) approximation. General relations are obtained for elements of the amplitude matrix of light scattering by a droplet of arbitrary shape and for the structure of the director field. Analytic expressions for the amplitude matrices are derived for spherical LC droplets with a uniformly oriented structure of local optical axes for strictly forward and strictly backward scattering. The efficiency factors of extinction and backward scattering for a spherical nonabsorbing LC droplet depending on the LC optical anisotropy, refractive index of the polymer, illumination conditions, and orientation of the optical axis of the droplet are analyzed. Verification of the obtained solutions has been performed.