Improved Algorithms for Calculating Addition Coefficients in Electromagnetic Scattering by Multi-Sphere Systems
Summary :
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.
- Publication
- IEICE TRANSACTIONS on Electronics Vol.E95-C No.1 pp.27-35
- Publication Date
- 2012/01/01
- Publicized
- Online ISSN
- 1745-1353
- DOI
- 10.1587/transele.E95.C.27
- Type of Manuscript
- Special Section PAPER (Special Section on Recent Progress in Electromagnetic Theory and Its Application)
- Category
- Scattering and Diffraction
Authors
Keyword
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Nguyen Tien DONG, Masahiro TANAKA, Kazuo TANAKA, "Improved Algorithms for Calculating Addition Coefficients in Electromagnetic Scattering by Multi-Sphere Systems" in IEICE TRANSACTIONS on Electronics,
vol. E95-C, no. 1, pp. 27-35, January 2012, doi: 10.1587/transele.E95.C.27.
Abstract: 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.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/transele.E95.C.27/_p
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@ARTICLE{e95-c_1_27,
author={Nguyen Tien DONG, Masahiro TANAKA, Kazuo TANAKA, },
journal={IEICE TRANSACTIONS on Electronics},
title={Improved Algorithms for Calculating Addition Coefficients in Electromagnetic Scattering by Multi-Sphere Systems},
year={2012},
volume={E95-C},
number={1},
pages={27-35},
abstract={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.},
keywords={},
doi={10.1587/transele.E95.C.27},
ISSN={1745-1353},
month={January},}
Copy
TY - JOUR
TI - Improved Algorithms for Calculating Addition Coefficients in Electromagnetic Scattering by Multi-Sphere Systems
T2 - IEICE TRANSACTIONS on Electronics
SP - 27
EP - 35
AU - Nguyen Tien DONG
AU - Masahiro TANAKA
AU - Kazuo TANAKA
PY - 2012
DO - 10.1587/transele.E95.C.27
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E95-C
IS - 1
JA - IEICE TRANSACTIONS on Electronics
Y1 - January 2012
AB - 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.
ER -
English
