On the existence of spurious modes in Battle-Lemarie based MRTD

Author

Sarris, Costas D. ; Katehi, Linda P B

Author_Institution

Radiation Lab., Michigan Univ., Ann Arbor, MI, USA

Volume

11

Issue

2

fYear

2001

Firstpage

71

Lastpage

73

Abstract

A distinction between the effects of inaccuracy of the Battle-Lemarie wavelet based multiresolution time domain (W-MRTD) scheme for high spatial frequencies and spurious modes is drawn and explained. Investigating the performance of the scheme under various excitation methods, it is concluded that what was described earlier in the literature as a spurious mode effect actually corresponds to alias frequencies stemming from the excitation of higher order modes by the wavelets, given that the latter are spectrally supported at higher wavenumbers.

Keywords

method of moments; numerical stability; time-domain analysis; wavelet transforms; 1D dispersion analysis; Battle-Lemarie based MRTD; Galerkin method; Nyquist limit; alias frequencies; high spatial frequencies; higher order modes excitation; inaccuracy effects; numerical dispersion; scaling function; spurious modes; wavelet based multiresolution time domain; Discrete wavelet transforms; Dispersion; Equations; Fourier transforms; Frequency; Magnetic fields; Multiresolution analysis; Spatial resolution; Wavelet analysis; Wavelet domain;

fLanguage

English

Journal_Title

Microwave and Wireless Components Letters, IEEE

Publisher

ieee

ISSN

1531-1309

Type

jour

DOI

10.1109/7260.914306

Filename

914306