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IEEE Transactions on Antennas and Propagation
Volume 46 Number 5, May 1998

Effective Impedance Boundary Conditions for an Inhomogeneous Thin Layer on a Curved Metallic Surface

Page 710.

Abstract:

Effective impedance boundary conditions for an inhomogeneous thin layer coated on a perfectly conducting object are considered. The permittivity of the thin layer is inhomogeneous along both the normal and tangential directions. Explicit forms of the first- and second-order approximate impedance boundary conditions are derived first for a two-dimensional (2-D) thin layer for the TE and TM case. Numerical results are presented. The case of Maxwell's equations for a three-dimensional inhomogeneous thin layer is also considered.

References

1. R. F. Harrington and J. R. Mautz, "An impedance sheet conditions for thin dielectric shells," IEEE Trans. Antennas Propagat., vol. AP-23, pp. 531-534, July 1975.
2. R. G. Rojas and Z. Al-hekail, "Generalized impedance/resistive boundary conditions for electromagnetic scattering problems," Radio Sci., vol. 24, pp. 1-12, Jan. 1989.
3. A. Büyükaksoy and M. Ydemen, "Generalized boundary conditions for a material sheet with both sides coated by a dielectric layer," Electron. Lett., vol. 26, pp. 1967-1969, 1990.
4. D. J. Hoppe and Y. Rahmat-Samii, "Scattering by superquadric dielectric-coated cylinders usinghigher order impedance boundary conditions," IEEE Trans. Antennas Propagat., vol. 40, pp. 1513-1523, Dec. 1992.
5. O. P. Bruno and F. Reitich, "Solution of a boundary value problem for the Hemholtz equation via variation of the boundary into the complex domain," in Proc. Royal Soc., Edinburgh, Scotland, U.K., 1993, vol. 122A, pp. 317-340.
6. T. B. A. Senior and J. L. Volakis, Approximate Boundary Conditions in Electromagnetics.London, U.K.: Inst. Elect. Eng. Press, 1995.
7. B. Engquist and J. C. Nedelec, "Effective boundary condition for acoustic and electromagnetic scattering in thin layers," to be published.
8. A. Bendali and K. Lemrabet, "The effect of a thin coating on the scattering of a time-harmonic wave for the hemholtz equation," SIAM J. Appl. Math., vol. 56, no. 6, pp. 1664-1693, 1996.
9. H. Ammari and S. He, "Generalized effective impedance boundary conditions for an inhomogeneous thin layer in electromagnetic scattering," J. Electromagn. Waves Appl., vol. 11, 1197-1212, 1997.
10. M. P. Do Carmo, Differential Geometry of Curves and Surfaces.Englewood Cliffs, NJ: Prentice-Hall, 1976.
11. T. Abboud and H. Ammari, "Diffraction at a curved grating: TM and TE cases, Homogenization," J. Math. Anal. Appl., vol. 202, pp. 995-1026, 1996.
12. H. Ammari and J. C. Nedelec, "Time-harmonic electromagnetic fields in thin chiral layers," SIAM J. Math. Anal., to be published.
13. C. C. H. Tang, "Backscattering from dielectric-coated infinite cylindrical obstacles," J. Appl. Phys., vol. 28, no. 5, pp. 628-633, 1957.