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采用完全匹配层吸收边界条件的介质粒子光散射的时域有限差分法求解

Finite-difference time-domain solution of light scattering by dielectric particles with a perfectly matched layer absorbing boundary condition.

作者信息

Sun W, Fu Q, Chen Z

机构信息

Dalhousie University, Halifax, Nova Scotia B3H 4J1, Canada.

出版信息

Appl Opt. 1999 May 20;38(15):3141-51. doi: 10.1364/ao.38.003141.

DOI:10.1364/ao.38.003141
PMID:18319902
Abstract

A three-dimensional finite-difference time-domain (FDTD) program has been developed to provide a numerical solution for light scattering by nonspherical dielectric particles. The perfectly matched layer (PML) absorbing boundary condition (ABC) is used to truncate the computational domain. As a result of using the PML ABC, the present FDTD program requires much less computer memory and CPU time than those that use traditional truncation techniques. For spheres with particle-size parameters as large as 40, the extinction and absorption efficiencies from the present FDTD program match the Mie results closely, with differences of less than approximately 1%. The difference in the scattering phase function is typically smaller than approximately 5%. The FDTD program has also been checked by use of the exact solution for light scattering by a pair of spheres in contact. Finally, applications of the PML FDTD to hexagonal particles and to spheres aggregated into tetrahedral structures are presented.

摘要

已开发出一种三维时域有限差分(FDTD)程序,用于为非球形介电粒子的光散射提供数值解。采用完全匹配层(PML)吸收边界条件(ABC)来截断计算域。由于使用了PML ABC,当前的FDTD程序比使用传统截断技术的程序所需的计算机内存和CPU时间要少得多。对于粒径参数高达40的球体,当前FDTD程序的消光和吸收效率与米氏结果非常接近,差异小于约1%。散射相函数的差异通常小于约5%。该FDTD程序还通过一对接触球体的光散射精确解进行了检验。最后,展示了PML FDTD在六角形粒子和聚集成四面体结构的球体中的应用。

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