Time-domain augmented EFIE and its marching-on-in-degree solution

Abstract

A time-domain augmented electric field integral equation (TDAEFIE) and its marching-on-in-degree (MOD) solution are presented for analysis of transient electromagentic responses from three-dimensional closed conducting bodies of arbitrary shape.By enforcing a condition on the normal component of the electric flux density, the TDAEFIE eliminates the potential internal resonance problem of the time-domain electric field integral equation (TDEFIE) algorithm. With the use of weighted Laguerre polynomials as entire-domain temporal basis functions, the MOD solution overcomes the late-time instability problem that often occurs in the marching-on-in-time (MOT) approach. Compared with the MOD solution of the time-domain combined field integral equation (TDCFIE), the MOD solution of the TDAEFIE is more efficient because it takes less computational time for calculating the matrix elements and the matrix-vector multiplications related to the excitation at the right-hand side of the matrix equation. Numerical results are presented to illustrate the good performance of the TDAEFIE algorithm. © 2011 Wiley Periodicals, Inc. Microwave Opt Technol Lett 53:1439–1444, 2011; View this article online at wileyonlinelibrary.com. DOI 10.1002/mop.26015