LIGHT-SCATTERING BY RECTANGULAR SOLIDS IN THE DISCRETE-DIPOLE APPROXIMATION - A NEW ALGORITHM EXPLOITING THE BLOCK-TOEPLITZ STRUCTURE

被引：75

作者：

FLATAU, PJ ^{[1
]}

STEPHENS, GL ^{[1
]}

DRAINE, BT ^{[1
]}

机构：

[1] PRINCETON UNIV OBSERV,PRINCETON,NJ 08544

来源：

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 1990年 / 7卷 / 04期

关键词：

D O I：

10.1364/JOSAA.7.000593

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The discrete-dipole approximation is used to study the problem of light scattering by homogeneous rectangular particles. The structure of the discrete-dipole approximation is investigated, and the matrix formed by this approximation is identified to be a symmetric, block-Toeplitz matrix. Special properties of block-Toeplitz arrays are explored, and an efficient algorithm to solve the dipole scattering problem is provided. Timings for conjugate gradient, Linpack, and block-Toeplitz solvers are given; the results indicate the advantages of the block-Toeplitz algorithm. A practical test of the algorithm was performed on a system of 1400 dipoles, which corresponds to direct inversion of an 8400 X 8400 real matrix. A short discussion of the limitations of the discrete-dipole approximation is provided, and some results for cubes and parallelepipeds are given. We briefly consider how the algorithm may be improved further. © 1990 Optical Society of America.

引用

页码：593 / 600

页数：8

共 45 条

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