A stable solution of time domain electric field integral equation for thin-wire antennas using the Laguerre polynomials

Zhong Ji, Tapan K. Sarkar, Baek Ho Jung, Young Seek Chung, Magdalena Salazar-Palma, Mengtao Yuan

Research output: Contribution to journalArticle

61 Scopus citations

Abstract

In this paper, a numerical method to obtain an unconditionally stable solution of the time domain electric field integral equation for arbitrary conducting thin wires is presented. The time-domain electric field integral equation (TD-EFIE) technique has been employed to analyze electromagnetic scattering and radiation problems from thin wire structures. However, the most popular method to solve the TD-EFIE is typically the marching-on in time (MOT) method, which sometimes may suffer from its late-time instability. Instead, we solve the time-domain integral equation by expressing the transient behaviors in terms of weighted Laguerre polynomials. By using these orthonormal basis functions for the temporal variation, the time derivatives can be handled analytically and stable results can be obtained even for late-time. Furthermore, the excitation source in most scattering and radiation analysis of electromagnetic systems is typically done using a Gaussian shaped pulse. In this paper, both a Gaussian pulse and other waveshapes like a rectangular pulse or a ramp like function have been used as excitations for the scattering and radiation of thin-wire antennas with and without junctions. The time-domain results are compared with the inverse discrete Fourier transform (IDFT) of a frequency domain analysis.

Original languageEnglish (US)
Pages (from-to)2641-2649
Number of pages9
JournalIEEE Transactions on Antennas and Propagation
Volume52
Issue number10
DOIs
StatePublished - Oct 1 2004

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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