Application of wavelets on the interval to the analysis of thin-wire antennas and scatterers

Author

Wang, Gaofeng

Author_Institution

Synopsys Inc., Mountain View, CA, USA

Volume

45

Issue

5

fYear

1997

fDate

5/1/1997 12:00:00 AM

Firstpage

885

Lastpage

893

Abstract

An analysis of thin-wire antennas and scatterers using orthogonal wavelets on interval [0,1] is presented. The thin-wire version of the electric-field integral equation (EFLE) is solved by the hybrid wavelet expansion and boundary element method (HWBM). Maps between the curved solution domains and the interval [0,1] are established by using the geometrical representation of the boundary element method (BEM). By virtue of these maps, bases over the curved solution domains are derived from orthogonal wavelets on [0,1] that are used to expand the unknown current over the wires. The utilization of the wavelets on [0,1] circumvents the difficulties in the application of the wavelets on the real line to finite-domain problems and has no periodicity constraint to the unknown function that is usually imposed by the periodic wavelets. Numerical examples are provided for a variety of thin-wire antennas and scatterers

Keywords

antenna theory; boundary-elements methods; electromagnetic wave scattering; integral equations; sparse matrices; wavelet transforms; boundary element method; curved solution domains; electric-field integral equation; finite-domain problems; geometrical representation; hybrid wavelet expansion; interval [0,1]; orthogonal wavelets; scatterers; sparse matrix; thin-wire antennas; Boundary element methods; Computational electromagnetics; Electromagnetic scattering; Integral equations; Mathematics; Sparse matrices; Wavelet analysis; Wavelet domain; Wavelet transforms; Wires;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.575642

Filename

575642