Abstract
We consider a boundary-value problem for the electromagnetic field in an arbitrarily anisotropic half-space with a rough surface. In the case of a small roughness height, we derive the impedance boundary condition with a nonlocal impedance in the fourth order of the perturbation theory. In addition to the general case, we analyze the case of a perfectly conductive surface with a Gaussian roughness.
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REFERENCES
E. L. Feinberg, in: B. A. Vvedensky, ed., Studies of Radio-Wave Propagation, Vol. 2 [in Russian], USSR Acad. Sci. Publ., Moscow (1948).
F. G. Bass and I. M. Fuks, Wave Scattering on a Randomly Rough Surface [in Russian], Nauka, Moscow (1972).
H. G. Unger, Planar and Fiber Optical Waveguides [Russian translation] Mir, Moscow (1980).
L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves, Prentice-Hall, Englewood Cliffs, N.J. (1973).
L. A. Apresyan, Radiophys. Quantum Electron., 17, No. 2, 123 (1974).
V. M. Finkelberg, Zh. Éksp. Teor. Fiz., 53, No. 1, 401 (1967).
A. S. Bryukhovetskii and I. M. Fuks, Radiophys. Quantum Electron., 28, No. 11, 977 (1985).
N. P. Zhuk and O. A. Tretyakov, Radiotekh. Électron., 30, No. 5, 689 (1985).
V. V. Shevchenko, Smooth Transitions in Open Waveguides [in Russian], Nauka, Moscow (1969).
N. P. Zhuk, O. A. Tretyakov, and A. G. Yarovoi, Radiophys. Quantum Electron., 29, No. 4, 337 (1986).
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Shul'ga, S.N. Effective Impedance of a Slightly Rough Surface of an Arbitrarily Anisotropic Medium. Radiophysics and Quantum Electronics 45, 784–794 (2002). https://doi.org/10.1023/A:1022432401061
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DOI: https://doi.org/10.1023/A:1022432401061