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Mathematical Problems in Engineering
Volume 2011, Article ID 165032, 8 pages
Research Article

The Iterative Solution for Electromagnetic Field Coupling to Buried Wires

College of Science, National University of Defense Technology, Changsha 410073, China

Received 9 January 2011; Revised 12 March 2011; Accepted 1 April 2011

Academic Editor: Ben T. Nohara

Copyright © 2011 Xufeng Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.