Premium
A time‐domain equivalence principle and its marching‐on‐in‐degree solution
Author(s) -
Shi Yan,
Wang Jin,
Liang ChangHong
Publication year - 2014
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.28598
Subject(s) - laguerre polynomials , equivalence (formal languages) , mathematics , galerkin method , time domain , matrix (chemical analysis) , mathematical analysis , algorithm , computer science , discrete mathematics , finite element method , physics , materials science , composite material , computer vision , thermodynamics
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