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Analysis of transient electromagnetic scattering using UV method enhanced time‐domain integral equations with Laguerre polynomials
Author(s) -
Wang Quanquan,
Shi Yifei,
Li Mengmeng,
Fan Zhenhong,
Chen Rushan,
Xia Mingyao
Publication year - 2011
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.25646
Subject(s) - laguerre polynomials , basis function , laguerre's method , basis (linear algebra) , galerkin method , mathematics , kernel (algebra) , integral equation , transient (computer programming) , time domain , impedance parameters , algorithm , mathematical analysis , computational electromagnetics , electromagnetic field , orthogonal polynomials , finite element method , computer science , electrical impedance , physics , discrete mathematics , classical orthogonal polynomials , geometry , quantum mechanics , computer vision , thermodynamics , operating system
In this article, the multilevel UV algorithm is utilized to reduce both the memory requirement and CPU time in the time‐domain combined field integral equation (TD‐CFIE) method to analyze transient electromagnetic scattering from conducting structures.The UV method is kernel‐independent, and is based on the rank‐deficiency feature of the impedance submatrix which represents far interaction. To obtain an unconditionally stable solution, finite orders of weighted Laguerre polynomials are used as temporal basis functions and the unknown expansion coefficients of the time variable are solved recursively order by order, as the so‐called matching‐on‐in‐order (MOO) procedure. RWG basis function is used as the spatial basis function for its flexibility in modeling arbitrary geometries. The spatial and temporal testing procedures are separate, and both of them are carried on with the Galerkin's method. Numerical results are given to verify the proposed method. © 2010 Wiley Periodicals, Inc. Microwave Opt Technol Lett 53:158–163, 2011; View this article online at wileyonlinelibrary.com. DOI 10.1002/mop.25646