Solving Time Domain Electric Field Integral Equation Without the Time Variable

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

Research output: Contribution to journalArticlepeer-review

59 Scopus citations


An improved testing procedure using the marching-on-in-order method to solve the time-domain electric field integral equation (TD-EFIE) for conducting objects using the Laguerre polynomials is presented. Exact temporal testing is performed before the spatial testing, therefore the retarded terms composed of the spatial and the temporal variables can be analytically separated. The uniqueness of this testing procedure is that the time variable can be analytically integrated out and the accuracy can be improved. This paper is then an improvement over the earlier marching-on-in-order method. In addition, this methodology is quite different from the conventional marching-on-in-time algorithm as the present method leads to a set of final equations which need to be numerically solved containing only the spatial variables. Therefore, there is no requirement to have a Courant stability condition in this procedure. How the singular integrals are treated is also discussed. Several examples are simulated both for radiation and scattering problem. The results are compared with the inverse discrete Fourier transform of the frequency domain data and they agree well.

Original languageEnglish (US)
Pages (from-to)258-262
Number of pages5
JournalIEEE Transactions on Antennas and Propagation
Issue number1
StatePublished - Jan 2006


  • Laguerre polynomials
  • method of moments (MoM)
  • timedomain electric field integral equation (TD-EFIE)

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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