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