A generalized TDIE framework for arbitrary time basis functions

Author

Pingenot, J. ; Yang, C. ; Jandhyala, V. ; Fasenfest, B. ; Rieben, R. ; White, D. ; Sharpe, R. ; Stowell, M. ; Madsen, N. ; Rockway, J.D.

Author_Institution

Univ. of Washington, Seattle, WA, USA

Volume

3B

fYear

2005

fDate

3-8 July 2005

Firstpage

443

Abstract

A generalized formulation of the TD-EFIE (time-domain electric field integral equation) is presented, extending the work of Y.S. Chung et al. (see IEEE Trans. Antennas Propag., vol.52, no.9, p.2319-28, 2004). The framework shows that, for a large class of basis functions, the time integration can be analytically removed from the calculation. This allows the time-space integral to be computed to arbitrary accuracy through existing quadrature schemes. The result is a single, large matrix problem that is adaptable to different solvers, including marching on in time, marching on in order, fast solvers, and parallel solvers. While the formulation presented is specifically for the EFIE, it is equally applicable to other TDIEs.

Keywords

computational electromagnetics; electric field integral equations; functions; matrix algebra; time-domain analysis; TD-EFIE; arbitrary time basis functions; broadband electromagnetic problems; fast solvers; marching on in order; marching on in time; parallel solvers; time integration; time-domain EFIE; time-domain electric field integral equation; time-domain integral equations; time-space integral; Analytical models; Computational modeling; Frequency; Integral equations; Laboratories; Polynomials; Stability; Testing; Time domain analysis; Transient analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation Society International Symposium, 2005 IEEE

Print_ISBN

0-7803-8883-6

Type

conf

DOI

10.1109/APS.2005.1552539

Filename

1552539