The Iterative Solution for Electromagnetic Field Coupling to Buried Wires
Author(s) -
Xufeng Zhang,
Jianshu Luo,
Zipeng Zhao
Publication year - 2011
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2011/165032
Subject(s) - electric field integral equation , integral equation , summation equation , telegrapher's equations , electromagnetic field , mathematical analysis , iterative method , mathematics , coupling (piping) , integro differential equation , transmission line , electric field , electromagnetic wave equation , field (mathematics) , partial differential equation , physics , optical field , riccati equation , materials science , mathematical optimization , computer science , quantum mechanics , telecommunications , pure mathematics , metallurgy
By integrating the electric field integral equation and the transmission line equation, an iterative solution for the electromagnetic field coupling to buried wires is obtained. At first we establish the integral equation which the difference between solutions of the integral equation and the telegraph equation satisfies. Then the solution of the telegraph equation is used to approximate the solution of this integral equation. Every following step of iteration is an improvement on the transmission line solution, and with several iterations, a well approximation to the solution of electric field integral equation can be obtained
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