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A time‐domain equivalence principle and its marching‐on‐in‐degree solution

A time‐domain equivalence principle algorithm (EPA) and its marching‐on‐in‐degree‐based scheme are presented for analyzing transient electromagnetic scattering from three‐dimensional multiple metallic objects of arbitrary shapes. The equivalence principle allows the replacement of the unknown currents assigned to the original scatterer by new unknowns on the equivalence surface that encloses the scatterer. In this manner, the use of EPA reduces the number of unknowns and improves the conditioning of corresponding matrix system. With the use of weighted Laguerre polynomials as entire‐domain temporal basis functions and Galerkin temporal testing procedure, the time variable is eliminated so that the resultant matrix equations are recursively solved in term of the orders of temporal testing functions. Numerical results show good performance of proposed algorithm. © 2014 Wiley Periodicals, Inc. Microwave Opt Technol Lett 56:2415–2422, 2014