On the accuracy of Haar-based multiresolution time-domain schemes

Author

Grivet-Talocia, S.

Author_Institution

Dipt. di Elettronica, Politecnico di Torino, Italy

Volume

10

Issue

10

fYear

2000

fDate

10/1/2000 12:00:00 AM

Firstpage

397

Lastpage

399

Abstract

We discuss in this paper the numerical accuracy of multiresolution time-domain (MRTD) schemes based on Haar scaling functions and wavelets. It has been noted that when the first resolution of wavelets is included in the schemes, the discrete difference equations arising from the Maxwell´s system do not couple the scaling and wavelet coefficients except at boundary and excitation points. This fact is proved to be a serious drawback, since both a dispersion analysis and numerical tests for terminated and nonterminated schemes show that the addition of wavelets does not improve significantly the numerical accuracy of the underlying coarse-grid FDTD scheme

Keywords

Haar transforms; Maxwell equations; difference equations; finite difference time-domain analysis; time-domain analysis; wavelet transforms; Haar scaling functions; Haar-based time-domain schemes; Maxwell system; coarse-grid FDTD scheme; discrete difference equations; dispersion analysis; multiresolution time-domain schemes; nonterminated schemes; numerical accuracy; numerical tests; scaling coefficients; terminated schemes; wavelet coefficients; wavelets; Difference equations; Discrete wavelet transforms; Finite difference methods; Maxwell equations; Performance evaluation; Spatial resolution; Testing; Time domain analysis; Wavelet analysis; Wavelet coefficients;

fLanguage

English

Journal_Title

Microwave and Guided Wave Letters, IEEE

Publisher

ieee

ISSN

1051-8207

Type

jour

DOI

10.1109/75.877224

Filename

877224