1999 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.

IEEE Transactions on Antennas and Propagation
Volume 47 Number 1, January 1999

Table of Contents for this issue

Complete paper in PDF format

TM Electromagnetic Scattering by a Transparent Wedge with Resistive Faces

Christian Demeterscu, Bair V. Budaev, Constantinos C. Constantinou, and Michel J. Mehler

Page 47.

Abstract:

The Sommerfeld-Maliuzhinets method is used to calculate the total fields in the interior and exterior regions of an arbitrarily angled resistive wedge. A E-plane wave (TM mode) normally illuminates the two-dimensional resistive wedge. Two spectral functions are introduced to represent the fields in both regions. By imposing the resistive boundary conditions on the wedge faces, a system of coupled functional equations is obtained for the two unknown spectral functions. The functional equations are reduced to singular integral equations for the auxiliary functions. The predictions for a right-angled resistive wedge are shown to be in good agreement with measurements.

References

  1. G. D. Maliuzhinets, "Excitation, reflection and emission of surface waves from a wedge with given face impedances," Sov. Phys. Doklady, vol. 3, pp. 752-755, 1958.
  2. B. V. Budaev and D. B. Bogy, "Rayleigh wave scattering by a wedge," Wave Motion, vol. 22, pp. 239-257, 1995.
  3. --, "Rayleigh wave scattering by a wedge 2," Wave Motion, vol. 24, pp. 307-314, 1996.
  4. T. B. A. Senior and J. L. Volakis, Approximate Boundary Conditions in Electromagnetics.London, U.K.: IEE Press, 1995, pp. 53-76.
  5. G. D. Maliuzhinets, "Inversion formula for the Sommerfeld integral," Sov. Phys. Doklady, vol. 3, pp. 52-56, 1958.
  6. N. I. Muskhelishvili, Singular Integral Equations.Groningen, The Netherlands: Noordhoff, 1953.
  7. R. G. Kouyoumjian and P. H. Pathak, "A uniform geometrical theory of diffraction for an edge in a perfectly conducting surface," Proc. IEEE, vol. 62, pp. 1448-1461, Nov. 1974.