Wavelet-Galerkin scheme of time-dependent inhomogeneous electromagnetic problems

Author

Cheong, Young Wook ; Lee, Yong Min ; Ra, Keuk Hwan ; Kang, Joon Gil ; Shin, Chull Chae

Author_Institution

Commun. Eng. R&D Inst., Ace Technol., Inchon, South Korea

Volume

9

Issue

8

fYear

1999

fDate

8/1/1999 12:00:00 AM

Firstpage

297

Lastpage

299

Abstract

A wavelet-Galerkin scheme based on the time-dependent Maxwell´s equations is presented. Daubechies´ wavelet with two vanishing wavelet moments is expanded for basis function in spatial domain, and Yee´s leap-frog approach is applied. The shifted interpolation property of Daubechies´ wavelet family leads to the simplified formulations for inhomogeneous media without the additional matrices for the integral or material operator. The storage effectiveness, execution time reduction, and accuracy of this scheme are demonstrated by calculating the resonant frequencies of the homogeneous and inhomogeneous cavities

Keywords

Galerkin method; Maxwell equations; cavity resonators; electromagnetic wave scattering; inhomogeneous media; interpolation; time-domain analysis; wavelet transforms; Daubechies wavelet; Yee leap-frog method; cavity resonant frequency; inhomogeneous electromagnetic scattering; numerical analysis; shifted interpolation; time-dependent Maxwell equations; wavelet-Galerkin method; Electromagnetic scattering; Gas insulated transmission lines; Integral equations; Interpolation; Lattices; Maxwell equations; Nonhomogeneous media; Sampling methods; Testing; Wavelet domain;

fLanguage

English

Journal_Title

Microwave and Guided Wave Letters, IEEE

Publisher

ieee

ISSN

1051-8207

Type

jour

DOI

10.1109/75.779907

Filename

779907