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Light scattering by small axisymmetric particles using a generalized method of separation of variables with a spherical basis

机译:使用具有球形基础的变量分离的广义方法的小轴对称粒子的光散射

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摘要

This paper discusses the problem of light scattering by an arbitrary axisymmetric particle in the electrostatic approximation. Since the wave number is assumed to equal zero, instead of Maxwell's equations in the framework of the method of separation of variables, Laplace's equation for scalar potentials or an equivalent integral equation was solved in the framework of the method of expanded boundary conditions, which in essence is a version of the separation-of-variables method. These approaches made it possible to find rigorous solutions of the problem for axisymmetric particles. On the assumption of a constant field inside the particle, an approximate solution that coincides with the exact solution in the case of ellipsoids was also constructed. Numerical calculations showed that the Rayleigh approximation subsequently constructed works well in a wide range of values of the parameters of the problem and gives satisfactory agreement with the results of calculations by the rigorous methods of scattering theory.
机译:本文讨论了静电近似中任意轴对称粒子的光散射问题。由于假设波数等于零,而不是变量分离方法框架中的麦克斯韦方程,而是在扩展边界条件方法的框架内求解标量势的拉普拉斯方程或等效积分方程,该方法本质上是变量分离方法的一个版本。这些方法使得找到轴对称粒子问题的严格解决方案成为可能。在粒子内部存在恒定场的假设下,还构造了一个与椭球体情况下的精确解重合的近似解。数值计算表明,随后构造的瑞利近似在问题参数的较宽范围内均能很好地工作,并且与严格的散射理论方法的计算结果具有令人满意的一致性。

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  • 来源
    《Journal of optical technology》 |2011年第8期|544-550|共7页
  • 作者单位

    State University of Aerospace Instrumentation, St. Petersburg;

    State University of Aerospace Instrumentation, St. Petersburg Main (Pulkovo) Astronomical Observatory, Russian Academy of Sciences, St. Petersburg St. Petersburg State University, St. Petersburg;

    State University of Aerospace Instrumentation, St. Petersburg Main (Pulkovo) Astronomical Observatory, Russian Academy of Sciences, St. Petersburg;

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  • 原文格式 PDF
  • 正文语种 英语
  • 中图分类 光学;
  • 关键词

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