A Monte Carlo approach for the calculation of polarized light: application to an incident narrow beam

Monte Carlo approaches to compute multiple scattering of polarized light are examined. A Backward Monte Carlo (BMC) method is developed to solve the Stokes vector of the multiple scattered light for an inhomogeneous scattering medium with boundaries. A generalized form of the BMC method in vector notation is proposed. This method can determine the scattered light with sufficient accuracy in both intensity and polarization compared to the same calculation using the doubling-adding method for a plane parallel medium.For application to a narrow incident beam and an inhomogeneous medium, a modified BMC method is developed, borrowing a concept from the Forward Monte Carlo (FMC) method for the first scattering events. Furthermore, a modification of the total scattering matrix, i.e., the combination of the derived scattering matrix with its time inverse, is discussed. This BMC method can be used successfully for model calculations of lidar and other laser measurements of polarized light.     

偏振光在非球形气溶胶中传输特性的Monte Carlo仿真

非球形气溶胶是影响辐射传输的重要因素. 系统给出了矢量辐射传输Monte Carlo模型, 并验证了其准确度; 考虑入射光偏振态, 讨论了不同方向漫射光Stokes矢量对气溶胶形状的敏感性; 分析了气溶胶形状、入射光偏振状态对光波退偏振度、透过率及反射率的影响. 模拟仿真结果表明, 对于不同偏振态的入射光, 不同方向的Stokes矢量对气溶胶形状变化的灵敏程度并不一致, 而在天顶角0°方向区域,Q, U及V分量对形状的灵敏程度普遍不高; 气溶胶形状对反射漫射光退偏程度的影响强于透射漫射光, 入射光偏振态不同, 漫射光退偏程度也存在较大差异. 气溶胶形状对光波整体透过率与反射率影响显著, 且该影响随传播距离增大而增大; 入射光偏振态对透过率与反射率影响相对较小, 与自然光相比, 水平偏振光透过率略偏小, 反射率略偏大, 垂直偏振光反之, 圆偏振光与自然光的模拟结果相当.     

Backscattering of linearly and circularly polarized light in randomly inhomogeneous media

The scattering of linearly or circularly polarized light from a semibounded randomly inhomogeneous medium is considered. A new technique for simulating the electromagnetic radiation transport using the Monte Carlo method is proposed, which makes it possible to avoid cumbersome calculation of Muller matrices. Expressions are obtained for the co- and cross-polarized components of backscattered light for incident light of arbitrary polarization. The coherent and incoherent backscattering components are calculated for arbitrary combinations of incident and scattered light polarizations. It is shown that the main contribution to coherent backscattering is from the co- and cross-polarized components for linearly and circularly polarized light, respectively. The backscattering from an optically active random medium is calculated.     

Depolarization of backscattered linearly polarized light from ZnO thin film

The depolarization behavior of backscattered linearly polarized light from ZnO thin film was investigated experimentally. The results show that the characteristics are related to both the polarization orientation and wavelength of linearly polarized incident light. When the incident light is s-polarized, the depolarization behaviors are different for different wavelengths. When the incident light is p-polarized, the depolarization behaviors, on the contrary, are similar for different wavelengths. In addition, there is an optimal incident angle for depolarization of linearly polarized light with different wavelengths, which is equal to their effective Brewster angles, respectively.     

分振幅型全Stokes同时偏振成像系统波片相位延迟误差分析

分振幅型全Stokes同时偏振成像仪具有实时性好、空间分辨率高、精度高等优点,有很高的应用价值.分振幅型全Stokes同时偏振成像系统利用偏振分束器、1/2波片和1/4波片将入射光Stokes矢量调制在4幅图像中,可解析入射光Stokes矢量. 1/2波片和1/4波片的相位延迟误差对Stokes矢量测量精度有着不可忽略的影响.建立了包含上述两种误差的Stokes矢量测量误差方程,分析了1/2波片和1/4波片相位延迟耦合误差对自然光、0°/45°线偏光、左旋圆偏光等典型基态入射光的Stokes矢量测量误差的影响,推导了任意偏振态的Stokes矢量测量误差的表征方法.在邦加球球面和球内选取不同偏振度的Stokes矢量作为入射光进行仿真.结果表明, Stokes矢量测量误差和偏振度测量误差均随着入射光偏振度的增大而增大.选取入射光偏振度为1时的偏振测量精度评估系统.为满足2%的偏振测量精度, 1/2波片相位延迟误差应在±1.6°内, 1/4波片相位延迟误差应在±0.5°内.这对提高系统的偏振测量精度具有重要意义,为系统设计和研制提供了重要的理论指导.     

Dependence of the circular polarization of backscattered light in random media on anisotropy of scatterers

The scattering of linearly or circularly polarized light from a semi-infinite randomly inhomogeneous medium is considered. Using the Monte Carlo method, it is shown that, in the case of a wide front of incident and scattered optical radiation and irrespective of the degree of scattering anisotropy, the copolarized component of backscattered light dominates the cross-polarized component for the linear polarization and the cross-polarized component dominates the copolarized component for the circular polarization. If the beams of incident and scattered radiation are spatially separated and the size of scatterers exceeds the wavelength, the circular copolarized component dominates the cross-polarized one. A similar effect of the change in direction of the rotation of the plane of polarization in relation to the size of scatterers is revealed for pulsed radiation.     

Influence of single scattering and multiple scattering on backscattered Mueller matrix in turbid media

Monte Carlo algorithm and Stokes-Mueller formalism are used to simulate the propagation behavior of polarized light in turbid media. The influence of single scattering and multiple scattering on backscattered Mueller matrix in turbid media is discussed. Single and double scattering photons form the major part of backscattered polarization patterns, while multiple scattering photons present more likely as background. Further quantitative analyses show that single scattering approximation and double scattering approximation are quite accurate when discussing the polarization patterns near the incident point.     

非球形粒子散射光的去偏振特性研究

目标对入射偏振光的散射特性反映了目标的属性信息。在Rayleigh散射理论的基础上，通过单层非球形粒子对入射偏振光的散射数学模型，应用矢量传输方程来计算非球形粒子散射的Mueller矩阵元，求解散射介质的偏振度，讨论在不同介质层厚度、粒子半径和探测角的条件下，非球形粒子散射光去偏振度的变化特性，给出了模拟仿真结果。该方法为研究目标的内部结构、厚度和粗糙度等特征以及目标的探测和识别提供了一种新的途径。     

生物组织多光谱偏振特性研究

生物组织内部结构复杂且具有较强的散射特性,而光作为生物组织检测的重要信息载体,其自身特性包括颜色、幅值、偏振等都对信息获取有较大的影响.结合偏振成像,对生物组织多光谱偏振特性展开了研究,依据不同微粒尺寸的分布建立了均匀单层生物组织模型,结合瑞利和米氏散射理论模拟了基于单个微粒的两种散射事件.瑞利散射具有较好的前向后向散...     

Random walk of polarized light in turbid media

We study the propagation of polarized light in turbid media as a random walk of vector photons. Both propagation and polarization directions of light are found to isotropize, following a power law of the number of scattering events. The characteristic length scale governing light isotropization and linear depolarization, the isotropization length , is derived using the exact Mie scattering for spherical particles. A simple relation is obtained for Rayleigh-Gans scatterers where is the transport mean free path and is the mean cosine of scattering angles.     

Polarization and amplitude optical multistability in a nonlinear ring cavity

The stimulation of a ring cavity filled with an isotropic medium with third order nonlinearity by plane monochromatic arbitrary polarized light is studied. An evolution of the stationary transmission with the change of the polarization of the incident light from circular to linear is discussed. For the linear polarized incident light additional branches of high transmission corresponding to elliptically polarized transmitted light and degenerating with respect to the rotation of the polarization vector are found. The stability of the stationary solutions is discussed. The possibility of the transmitted light polarization and intensity control by changing the polarization ellipticity degree of the incident light is shown.     

Backscattering of circularly polarized pulses

Using numerical simulations of vector radiative transport, we examine time-resolved backscattering of circularly polarized plane waves normally incident upon a slab containing a random distribution of latex spheres in water. For large spheres the effect of polarization memory occurs a short time after first-order scattering and before depolarization. It is the result of successive near-forward-scattering events that maintain the incident wave's helicity. For moderately large scatterers it exhibits a simple dependence on the anisotropy factor. For larger spheres or those with higher refractive indices, it also depends on complicated angular and polarization characteristics of backscattering given by Mie theory.     

Geometric depolarization in patterns formed by backscattered light

We formulate a framework to extend the idea of Berry's topological phase to multiple light scattering, and in particular to backscattering of linearly polarized light. We show that the randomization of the geometric Berry's phases in the medium leads to a loss of the polarization degree of the light, i.e., to a depolarization. We use Monte Carlo simulations in which Berry's phase is calculated for each photon path. Then we average over the distribution of the geometric phases to calculate the form of the patterns, which we compare with experimental patterns formed by backscattered light between crossed or parallel polarizers.     

Polarization properties of light multiply scattered by non-spherical Rayleigh particles

Multiple scattering of incoherent polarized light propagating through a random medium comprised of spheroidal Rayleigh particles is studied using Monte Carlo simulations. Two approaches are taken for the implementation of the simulation: the first uses individual realizations of particle orientation and the second, an accelerated method, averages over the particle orientation. These different methods produce results that are indistinguishable within statistical errors. The depolarization of light is examined in both transmission and backscatter for media comprised of spheroids of different polarizability ratios. In media containing spheroidal particles the depolarization is greater than that for spherical particles. Media containing prolate spheroids are more depolarizing than media comprising oblate particles of the same polarizability ratio. The extra depolarization due to asphericity is much less pronounced in the multiple scattering regime than for single scattering.     

利用表面散射光偏振差异的目标识别技术

 分析了不同物体散射场偏振特性的差异,依据消光定理的矢量微扰解方法将物体散射场分为零阶和高阶解,零阶反射光可完全保持入射光的偏振度,高阶散射则会导致偏振度的降低,因而总散射光的偏振度依赖于散射表面的粗糙程度。提出了利用斯托克斯-穆勒体系测量物体消偏特性的方法并通过实验对一些物体作了测量,实验结果表明：光滑表面可以较好地保留入射光偏振度,而粗糙表面则有很强的消偏作用,因此偏振成像方法可有效地提高目标探测和识别效率。     

与入射线偏振光振动方向无关的低偏振度消偏器

消偏器是光纤传感器、光放大器等偏振敏感性光学系统中的关键器件,用于减小输入光的偏振度(DOP).设计了一种与入射线偏振光振动方向无关的低偏振度消偏器,该器件中利用人为的偏振相关延迟代替了保偏光纤的双折射,并在偏振相关型消偏器前增加了一个1/4波片,从而对任意方向振动的线偏振光具有相同的消偏能力,结构紧凑.对消偏性能随波片阶数、入射光中心波长和振动方向的变化作了数值计算.实验中采用半峰全宽为0.13 nm的光源,入射线偏振光在任意方向振动时,输出光偏振度小于2.6%,消偏器的插入损耗为0.6 dB,损耗起伏小于0.11 dB.实验和数值计算结果表明,该消偏器具有低偏振度、低插入损耗和适合于宽光谱应用的优点.     

与人射线偏振光振动方向无关的低偏振度消偏器

消偏器是光纤传感器、光放大器等偏振敏感性光学系统中的关键器件,用于减小输入光的偏振度(DOP)。设计了一种与入射线偏振光振动方向无关的低偏振度消偏器,该器件中利用人为的偏振相关延迟代替了保偏光纤的双折射,并在偏振相关型消偏器前增加了一个1/4波片,从而对任意方向振动的线偏振光具有相同的消偏能力,结构紧凑。对消偏性能随波片阶数、入射光中心波长和振动方向的变化作了数值计算。实验中采用半峰全宽为0．13 nm的光源,入射线偏振光在任意方向振动时,输出光偏振度小于2．6%,消偏器的插入损耗为0．6 dB,损耗起伏小于0．11 dB。实验和数值计算结果表明,该消偏器具有低偏振度、低插入损耗和适合于宽光谱应用的优点。     

Polarization effects in non-linear scattering

The problem of non-linear scattering of unpolarized light is discussed. New relationships between the scattering intensities for unpolarized and polarized incident light are given. It is shown that the usual equation connecting the depolarization ratios for plane and unpolarized light does not hold for non-linear scattering processes such as hyper-Rayleigh and hyper-Raman scattering. A new relation between the two is given in terms of two additional intensity ratios. An expression for the depolarization ratio for unpolarized light is also given in terms of the hyperpolarizability tensor.     

基于色散偏振度的乳化油光谱检测系统研究

以色散偏振光谱检测技术为背景,着重研究了乳化油颗粒的偏振光学特性及米散射物理模型,构建了色散偏振度光谱检测系统。在400～700nm波长范围内,分别对四种样品进行了301个波段的光谱反射率采集。结合贝塞尔函数和汉克尔函数,推导出了入射光波长与散射光偏振振幅矢量的关系,提取了一个新的特征参数：色散偏振度(DODP)。在暗室条件下,对乳化油样品ND18和ND75进行测量,利用色散偏振公式计算出了样品在各测量波长处的偏振度值,验证了基于DODP值检测乳化油的可行性。研究发现,虽然米散射的解是由单个球体的衍射推导而来,但是只要它们的直径和组成相同,且彼此之间的距离比波长大,也同样可以用于任意数量的球的衍射。在这种情况下,被不同球体散射的光之间没有相干的相位关系,总散射能量等于被一个球体散射的能量乘以它们的整数。当观测平面与入射波电矢量振动方向之间的夹角φ=0或者φ=π/2时,散射光分量E⁽(s))_θ或者E⁽(s))_φ消失。由于ND18的粒径比ND75的粒径小,所以ND18的前向散射波瓣较大,前向散射与后向散...