Open AccessTD‐CFIE Formulation for Transient Electromagnetic Scattering from 3‐D Dielectric Objects
Author(s) -
Lee YoungHwan,
Jung Baek Ho,
Sarkar Tapan K.,
Yuan Mengtao,
Ji Zhong,
Park SeongOok
Publication year - 2007
Publication title -
etri journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.295
H-Index - 46
eISSN - 2233-7326
pISSN - 1225-6463
DOI - 10.4218/etrij.07.0106.0231
Subject(s) - basis function , laguerre polynomials , orthonormal basis , integral equation , mathematics , mathematical analysis , electric field integral equation , orthogonal functions , time domain , basis (linear algebra) , transient (computer programming) , computational electromagnetics , electromagnetic field , computer science , physics , geometry , quantum mechanics , computer vision , operating system
In this paper, we present a time domain combined field integral equation formulation (TD‐CFIE) to analyze the transient electromagnetic response from dielectric objects. The solution method is based on the method of moments which involves separate spatial and temporal testing procedures. A set of the RWG functions is used for spatial expansion of the equivalent electric and magnetic current densities, and a combination of RWG and its orthogonal component is used for spatial testing. The time domain unknowns are approximated by a set of orthonormal basis functions derived from the Laguerre polynomials. These basis functions are also used for temporal testing. Use of this temporal expansion function characterizing the time variable makes it possible to handle the time derivative terms in the integral equation and decouples the space‐time continuum in an analytic fashion. Numerical results computed by the proposed formulation are compared with the solutions of the frequency domain combined field integral equation.