Method of connected local fields for obtaining semi-analytical solutions of the Helmholtz equation

Author

Chang, Hung-Wen

Author_Institution

Dept. of Photonics, Nat. Sun Yat-Sen Univ., Kaohsiung, Taiwan

Volume

1

fYear

2011

fDate

26-30 July 2011

Firstpage

68

Lastpage

70

Abstract

The well-known finite-difference frequency-domain method for the Helmholtz equation requires high spatial sampling density to produce accurate solutions due to numerical grid dispersion. We present the method of connected local field which has a FD-like formulation that connects square patches of overlapping EM fields. Each local field is represented by a truncated Fourier-Bessel series satisfying the Helmholtz equation. We show that the method of connected local fields is a viable, highly-accurate numerical electromagnetic field wave solver.

Keywords

Helmholtz equations; electromagnetic field theory; finite difference methods; frequency-domain analysis; EM fields; FD-like formulation; Fourier-Bessel series; Helmholtz equation; electromagnetic field wave solver; finite-difference frequency-domain method; high spatial sampling density; numerical grid dispersion; semianalytical solutions; Adaptive optics; Optical devices; Connected local field; FD-FD; Fourier-Bessel expansion; Helmholtz; Numerical dispersion;

fLanguage

English

Publisher

ieee

Conference_Titel

Cross Strait Quad-Regional Radio Science and Wireless Technology Conference (CSQRWC), 2011

Conference_Location

Harbin

Print_ISBN

978-1-4244-9792-8

Type

conf

DOI

10.1109/CSQRWC.2011.6036886

Filename

6036886