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IEEE Transactions on Antennas and Propagation
Volume 47 Number 8, August 1999

Table of Contents for this issue

Complete paper in PDF format

Development and Numerical Solution of Integral Equations for Electromagnetic Scattering from a Trough in a Ground Plane

William D. Wood, Jr., and Aihua W. Wood

Page 1318.

Abstract:

We develop a set of scalar integral equations that govern the electromagnetic scattering from a two-dimensional (2-D) trough in an infinite perfectly conducting ground plane. We obtain accurate and efficient numerical solution to these equations via the method of moments (MoM). Our numerical implementation compares favorably to popular methods such as the finite element/boundary integral (FE/BI) method, generalized network formulation (GNF), and electric field integral equation (EFIE) techniques.

References

  1. R. F. Harrington and J. R. Mautz, "A generalized network formulation for aperture problems," IEEE Trans. Antennas Propagat., vol. AP-24, pp. 870-873, Nov. 1976.
  2. K.-M. Chen, "A mathematical formulation of the equivalence principle," IEEE Trans. Microwave Theory Tech., vol. 37, p. 1576-1581, Oct. 1989.
  3. S.-K. Jeng, "Scattering from a cavity-backed slit in a ground plane--TE case," IEEE Trans. Antennas Propagat., vol. 38, pp. 1523-1529, Oct. 1990.
  4. S.-K. Jeng and S.-T. Tzeng, "Scattering from a cavity-backed slit in a ground plane--TM case," IEEE Trans. Antennas Propagat., vol. 39, pp. 661-663, May 1991.
  5. P. M. Goggans and T. H. Shumpert, "Backscatter RCS for TE and TM excitations of dielectric-filled cavity-backed apertures in two-dimensional bodies," IEEE Trans. Antennas Propagat., vol. 39, pp. 1224-1227, Aug. 1991.
  6. T. B. Hansen and A. D. Yaghjian, "Low-frequency scattering from two-dimensional perfect conductors," IEEE Trans. Antennas Propagat., vol. 40, pp. 1389-1402, Nov. 1992.
  7. H. Ling, R.-C. Chou, and S.-W. Lee, "Shooting and bouncing rays: Calculating the RCS of an arbitrarily shaped cavity," IEEE Trans. Antennas Propagat., vol. 37, pp. 194-205, Feb. 1989.
  8. R. J. Burkholder, "Two ray shooting methods for computing the EM scattering by large open-ended cavities," Comput. Phys. Communicat., vol. 68, pp. 353-365, Nov. 1991.
  9. D. H. Reuster and G. A. Thiele, "A field iterative method for computing the scattered electric fields at the apertures of large perfectly conducting cavities," IEEE Trans. Antennas Propagat., vol. 43, pp. 286-290, Mar. 1995.
  10. P. K. Murthy, K. C. Hill, and G. A. Thiele, "A hybrid-iterative method for scattering problems," IEEE Trans. Antennas Propagat., vol. AP-34, pp. 1173-1180, Oct. 1986.
  11. J. S. Asvestas and R. E. Kleinman, "Electromagnetic scattering by indented screens," IEEE Trans. Antennas Propagat., vol. 42, pp. 22-30, Jan. 1994.
  12. W. D. Wood, Jr., "Electromagnetic scattering from a cavity in a ground plane: Theory and experiment," Ph.D. dissertation, Air Force Inst. Technol., Mar. 1997.
  13. C. Müller, Foundations of the Mathematical Theory of Electromagnetic Waves.New York: Springer-Verlag, 1969.
  14. R. F. Harrington, Field Computation by Moment Methods.New York: Macmillan, 1968.
  15. J.-M. Jin and J. L. Volakis, "A finite-element-boundary integral formulation for scattering by three-dimensional cavity-backed apertures," IEEE Trans. Antennas Propagat., vol. 39, pp. 97-104, Jan. 1991.
  16. A. Maue, "On the formulation of a general scattering problem by means of an integral equation," Z. Phys., vol. 126, no. 7, pp. 601-618, 1949.