New wavelet based approach for time domain simulations

Author

Barmada, Sami ; Raugi, Marco

Author_Institution

Dipartemento di Sistemi Elettrici e Automazione, Univ. di Pisa, Italy

Volume

51

Issue

7

fYear

2003

fDate

7/1/2003 12:00:00 AM

Firstpage

1590

Lastpage

1598

Abstract

A new numerical method for the time domain solution of Maxwell´s equations in linear media is proposed in this paper. The field quantities derived from the spatial discretization of Maxwell´s equations are expanded in the time domain by wavelets on the interval. This choice yields a new arrangement of the unknowns into a matrix (instead of the usual vector) and transforms the differential equations in time in a Sylvester (1983) matrix equation. The memory requirements are proportional to the number of spatial unknowns and the time evolution of the space quantities is obtained with better accuracy than in conventional marching-on-time techniques.

Keywords

Maxwell equations; digital simulation; matrix algebra; time-domain analysis; wavelet transforms; Maxwell´s equations; differential equations; linear media; marching-on-time techniques; matrix equation; memory requirements; numerical method; space quantities; time domain simulations; time domain solution; time evolution; wavelet based approach; Differential equations; Discrete wavelet transforms; Helium; Iron; Maxwell equations; Message-oriented middleware; Multiresolution analysis; Time domain analysis; Wavelet analysis; Wavelet domain;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2003.813615

Filename

1210797