Mathematical Problems in Engineering
Volume 2009 (2009), Article ID 937327, 22 pages
Research Article

A Fourier Approach to Model Electromagnetic Fields Scattered by a Buried Rectangular Cavity

Department of Mathematics and Computer Science, Duquesne University, Pittsburgh, PA 15282, USA

Received 23 January 2009; Revised 31 August 2009; Accepted 26 October 2009

Academic Editor: Mohammad Younis

Copyright © 2009 John L. Fleming and Jessica Moser. 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.


We consider the problem of a two-dimensional rectangular cavity in a PEC half plane covered by layers of material with uniform thickness. The rectangular geometry allows for an application of Fourier methods to solve the problem. The paper will also discuss how to compute the far field scattering once the solution is found. The fast mode matching approximation technique developed by Morgan and Schwering will be applied to this layered cavity problem setting. Numerical results will show that using the Fourier solution on the layered problem combined with Morgan and Schwering's technique can produce good approximations while using much less computation time than would be required for the entire solution.