A hybrid method of moments-marching on in time method for the solution of electromagnetic scattering problems

Author

Mohan, Anuraag ; Weile, Daniel S.

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of Delaware, USA

Volume

53

Issue

3

fYear

2005

fDate

3/1/2005 12:00:00 AM

Firstpage

1237

Lastpage

1242

Abstract

The time step size required by existing time-domain integral equation solvers for the solution of electromagnetic scattering problems is inversely proportional to the highest frequency present in the incident signal. This makes existing solvers inefficient, especially when the incident wave is narrowband in nature. This work presents a new time marching approach in which the time step size is inversely proportional to the bandwidth of the incident signal. The method is based on analytic signal theory and Hilbert transforms, which are used to transform the standard integral equations of electromagnetics into equations for the complex envelope of the current. Numerical results show the method to be both stable and accurate.

Keywords

Hilbert transforms; electromagnetic wave scattering; integral equations; method of moments; time-domain analysis; transient analysis; Hilbert transforms; MoM; analytic signal theory; electromagnetic scattering problems; method of moments; temporal basis functions; time marching approach; time step size; time-domain integral equation solvers; transient analysis; Bandwidth; Electromagnetic scattering; Fourier transforms; Frequency; Integral equations; Moment methods; Narrowband; Signal analysis; Stability; Time domain analysis; Integral equations; method of moments (MoM); temporal basis functions; transient analysis;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2004.842581

Filename

1406260