For Full-Text PDF, please login, if you are a member of IEICE,|
or go to Pay Per View on menu list, if you are a nonmember of IEICE.
Improved Algorithms for Calculating Addition Coefficients in Electromagnetic Scattering by Multi-Sphere Systems
Nguyen Tien DONG Masahiro TANAKA Kazuo TANAKA
IEICE TRANSACTIONS on Electronics
Publication Date: 2012/01/01
Online ISSN: 1745-1353
Print ISSN: 0916-8516
Type of Manuscript: Special Section PAPER (Special Section on Recent Progress in Electromagnetic Theory and Its Application)
Category: Scattering and Diffraction
scattering, multi-sphere, addition theorems, analytical method, multipole expansion, Mie theory,
Full Text: PDF(1.2MB)>>
Evaluation of addition coefficients introduced by the addition theorems for vector spherical harmonics is one of the most intractable problems in electromagnetic scattering by multi-sphere systems. The derivation of the analytical expressions for the addition coefficients is lengthy and complex while the computation of the addition coefficients is annoyingly time-consuming even with the reasonably fast computers available nowadays. This paper presents an efficient algorithm for calculating addition coefficients which is based on the recursive relations of scalar addition coefficients. Numerical results from the formulation derived in this paper agree with those of previous published results but the algorithm proposed here reduces the computational time considerably. This paper also discusses the strengths and limitations of other formulations and numerical techniques found in the literature.