Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2009, Article ID 937327, 22 pages
http://dx.doi.org/10.1155/2009/937327
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.

Linked References

  1. G. W. Hanson and A. B. Yakovlev, Operator Theory for Electromagnetics: An Introduction, Springer, New York, NY, USA, 2002.
  2. T. Van and A. W. Wood, “Finite element analysis of electromagnetic scattering from a cavity,” IEEE Transactions on Antennas and Propagation, vol. 51, no. 1, pp. 130–137, 2003. View at Publisher · View at Google Scholar · View at MathSciNet
  3. G. Bao and W. Zhang, “An improved mode-matching method for large cavities,” IEEE Antennas and Wireless Propagation Letters, vol. 4, no. 1, pp. 393–396, 2005. View at Publisher · View at Google Scholar
  4. M. A. Morgan and F. K. Schwering, “Mode expansion solution for scattering by a material filled rectangular groove,” Progress in Electromagnetics Research, vol. 98, no. 18, pp. 1–17, 1998. View at Google Scholar
  5. J. Jin, The Finite Element Method in Electromagnetics, Wiley-IEEE Press, New York, NY, USA, 2nd edition, 2002. View at Zentralblatt MATH · View at MathSciNet
  6. T. J. Park, H. J. Eom, and K. Yoshitomi, “An analytic solution for transverse-magnetic scattering from a rectangular channel in a conducting plane,” Journal of Applied Physics, vol. 73, no. 7, pp. 3571–3573, 1993. View at Publisher · View at Google Scholar
  7. T. J. Park, H. J. Eom, and K. Yoshitomi, “An analysis of TE-scattering from a rectangular channel in a conducing plane,” Radio Science, vol. 28, no. 5, pp. 663–673, 1993. View at Publisher · View at Google Scholar
  8. K. Barkeshli and J. L. Volakis, “Scattering by an aperature formed by a rectangular cavity in a ground plane,” Tech. Rep. 389757-2-T, University of Michigan Radiation Laboratory, Ann Arbor, Mich, USA, 1989. View at Google Scholar
  9. D. J. Hoppe and Y. Rahmat-Samii, Impedance Boundary Conditions in Electromagnetics, Taylor & Francis, Washington, DC, USA, 1995.
  10. E. Howe, Analysis and numerical solution of an integral equation method for electromagnetic scattering from a cavity in a ground plane, M.S. thesis, Air Force Institute of Technology, Ohio, Ohio, USA, April 2001.
  11. W. Wood, Electromagnetic scattering from a cavity in a ground plane: theory and experiment, Ph.D. thesis, Air Force Institute of Technology, Ohio, Ohio, USA, 1999.
  12. A. Wood, “Analysis of electromagnetic scattering from an overfilled cavity in the ground plane,” Journal of Computational Physics, vol. 215, no. 2, pp. 630–641, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  13. J. L. Fleming, “Convergence analysis of a Fourier-based solution method of the Laplace equation for a model of magnetic recording,” Mathematical Problems in Engineering, vol. 2008, Article ID 154352, 11 pages, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  14. A. F. Peterson, S. L. Ray, and R. Mittra, Computational Methods for Electromagnetics, IEEE/OUP Series on Electromagnetic Wave Theory, IEEE Press, New York, NY, USA, 1998. View at MathSciNet
  15. R. E. Collin, Field Theory of Guided Waves, Wiley-IEEE Press, New York, NY, USA, 1990.