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利用球矢量波函数的平移加法定理计算广义洛伦兹-米氏理论中的波束形状系数。

Computation of the beam-shape coefficients in the generalized Lorenz-Mie theory by using the translational addition theorem for spherical vector wave functions.

作者信息

Doicu A, Wriedt T

出版信息

Appl Opt. 1997 May 1;36(13):2971-8. doi: 10.1364/ao.36.002971.

DOI:10.1364/ao.36.002971
PMID:18253301
Abstract

The generalized Lorenz-Mie theory describes the electromagnetic scattering of a Gaussian laser beam by a spherical particle. The most intensive computational aspect of the theory concerns the evaluation of the beam-shape coefficients in the general case of an off-axis location of the scatterer. These beam-shape coefficients can be computed starting from the set of beam-shape coefficients for an on-axis location by using the addition theorem for the spherical vector wave functions of the first kind under a translation of the coordinate origin.

摘要

广义洛伦兹-米氏理论描述了高斯激光束被球形粒子的电磁散射。该理论最密集的计算方面涉及在散射体离轴位置的一般情况下对光束形状系数的评估。通过在坐标原点平移下使用第一类球矢量波函数的加法定理，可以从轴上位置的光束形状系数集开始计算这些光束形状系数。

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