The method of connected local fields for the Helmholtz equation

Author

Hung-Wen Chang ; Sin-Yuan Mu

Author_Institution

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

fYear

2013

fDate

25-26 Feb. 2013

Firstpage

86

Lastpage

88

Abstract

We show work of the method of connected local fields (CLF) for obtaining semi-analytical solution of the Helmholtz equation. In 2-D case we have the LFE-9 formula and 3-D the LFE-27 formula. Traditionally, it is extremely difficult to solve the Helmholtz equation with finite difference (FD) methods because the required CPU power and memory size is far beyond the capability of the modern computer. However, with the CLF method it becomes possible to model a large-scale problem up to a 100×100 wavelengths in 2D cases or 20×30×30 wavelengths in a cube. We verify the effectiveness of LFE-9 and LFE-27 method by computing the numerical Green´s function.

Keywords

Green´s function methods; Helmholtz equations; CLF; CPU power; Helmholtz equation; LFE-27 formula; LFE-27 method; LFE-9 formula; LFE-9 method; connected local fields; finite difference methods; large-scale problem; numerical Green function; semi-analytical solution; Dispersion; Equations; Finite difference methods; Green´s function methods; Mathematical model; Next generation networking; Three-dimensional displays; Green´s function; Helmholtz equation; connected local fields; finite difference;

fLanguage

English

Publisher

ieee

Conference_Titel

Next-Generation Electronics (ISNE), 2013 IEEE International Symposium on

Conference_Location

Kaohsiung

Print_ISBN

978-1-4673-3036-7

Type

conf

DOI

10.1109/ISNE.2013.6512297

Filename

6512297