×

A Fourier approach to model electromagnetic fields scattered by a buried rectangular cavity. (English) Zbl 1191.76078

Summary: 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.

MSC:

76M25 Other numerical methods (fluid mechanics) (MSC2010)
65T50 Numerical methods for discrete and fast Fourier transforms
PDFBibTeX XMLCite
Full Text: DOI EuDML

References:

[1] G. W. Hanson and A. B. Yakovlev, Operator Theory for Electromagnetics: An Introduction, Springer, New York, NY, USA, 2002. · Zbl 1024.47001
[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. · Zbl 1368.78150 · doi:10.1109/TAP.2003.808517
[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. · doi:10.1109/LAWP.2005.859375
[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.
[5] J. Jin, The Finite Element Method in Electromagnetics, Wiley-IEEE Press, New York, NY, USA, 2nd edition, 2002. · Zbl 1001.78001
[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. · doi:10.1063/1.352912
[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. · doi:10.1029/93RS01371
[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.
[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. · Zbl 1100.78014 · doi:10.1016/j.jcp.2005.11.007
[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. · Zbl 1152.78001 · doi:10.1155/2008/154352
[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. · Zbl 0896.65086
[15] R. E. Collin, Field Theory of Guided Waves, Wiley-IEEE Press, New York, NY, USA, 1990. · Zbl 0716.53016
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.