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 9, September 1999

Scattering of Plane Waves by an Anisotropic Dielectric Half-Plane

Page 1476.

Abstract:

Scattering of plane waves by a semi-infinite anisotropic thin dielectric layer is investigated, which can be considered as an example for electromagnetic energy absorbing materials. A pair of second-order boundary conditions is used to simulate an anisotropic thin dielectric layer as an infinitesimally thin sheet. Formulation is based on the Fourier integral transform technique, which reduces the scattering problem to two decoupled scalar Wiener-Hopf equations. Diffracted, reflected, and transmitted field terms are evaluated by using the Wiener-Hopf solutions that is obtained by the standard method. The uniqueness of the solution is satisfied by imposing an edge constraint in addition to the classical edge condition.

References

1. T. B. A. Senior, "Half-plane edge diffraction," Radio Science, vol. 10, pp. 645-650, 1975.
2. I. Anderson, "Wave diffraction by a thin dielectric half-plane," IEEE Trans. Antennas Propagat., vol. AP-27, pp. 584-589, May 1979.
3. T. B. A. Senior and J. L. Volakis, "Sheet simulation of a thin dielectric layer," Radio Sci., vol. 22, pp. 1261-1272, 1987.
4. M. I˙demen, " Straightforward derivation of boundary conditions on sheet simulating an anisotropic thin layer," Electron. Lett., vol. 24, pp. 663-665, 1988.
5. T. B. A. Senior and J. L. Volakis, Approximate Boundary Conditions in Electromagnetics.London, U.K.: Inst. Elect. Eng., 1995.
6. A. H. Serbest and A. Yazici, " Plane wave diffraction by an anisotropic dielectric half plane," in IEEE AP-S Int. Symp., Ontario, Canada, June 1991, pp. 562-565.
7. M. G. Uzgören, A. Büyükaksoy, and A. H. Serbest, "Diffraction coefficient related to a discontinuity formed by impedance and resistive half-planes," Proc. Inst. Elect. Eng., vol. 136, pt. H, no. 1, pp. 19-23, 1989.
8. F. G. Leppington, "Travelling waves in a dielectric slab with an abrupt change in thickness," Proc. Roy. Soc. London, vol. A386, pp. 443-460, 1983.
9. R. G. Rojas and Z. Al-hekail, "Generalized impedance/resistive boundary conditions for electromagnetic scattering problems," Radio Sci., vol. 24, pp. 1-12, 1989.
10. T. B. A. Senior, "Generalized boundary and transition conditions and the question of uniqueness," Radio Sci., vol. 27, pp. 929-934, 1992.
11. --, "Generalized boundary and transition conditions and uniqueness of solution," Univ. Michigan, Ann Arbor, Radiation Lab. Rep. RL 891, 1993.
12. --,"Diffraction by half plane junction," Univ. Michigan, Ann Arbor, Radiation Lab. Rep. RL 892, 1993.
13. J. L. Volakis and T. B. A. Senior, "Simple expressions for a function occurring in diffraction theory," IEEE Trans. Antennas Propagat., vol. AP-33, pp. 678-680, 1985.