Abstract
It is shown that the dielectric permittivity profile of a one-dimensionally inhomogeneous plate can be uniquely reconstructed if the reflection and transmission coefficients of the plate for s-polarized plane waves are known in a certain range of the angle of incidence. An algorithm for determining this profile based on the search for a unique zero minimum of a certain functional is proposed, and the efficiency of the algorithm is exemplified by the reconstruction of several homogeneous and inhomogeneous profiles.
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References
D. Lesselier, J. Optics (Paris) 9(6), 349 (1978).
B. M. Brown, V. S. Samko, I. W. Knowles, and M. Marletta, Inverse Problems 19(1), 235 (2003).
E. Ya. Khruslov and D. G. Shepelsky, Inverse Problems 10(1), 1 (1994).
R. J. W. Hodgson, J. Appl. Phys. 70(8), 4023 (1991).
J. Xia, A. K. Jordan, and J. A. Kong, J. Opt. Soc. Am. A 11(3), 1081 (1994).
A. Roger, D. Maystre, and M. Cadilhac, J. Optics (Paris) 9(2), 83 (1978).
Yu. I. Sirotin and M. P. Shaskolskaya, Fundamentals of Crystal Physics (Nauka, Moscow, 1975; Mir, Moscow, 1982).
E. Kamke, Differentialgleichungen. Lösungsmethoden und Lösungen, Bd. I: Gewöhnliche Differentialgleichungen (Geest und Portig, Leipzig, 1959; Nauka, Moscow, 1971).
V. Yurko, Inverse Problems 22(4), 1139 (2006).
G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers (McGraw-Hill, New York, 1968; Nauka, Moscow, 1984).
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Original Russian Text © A.A. Golubkov, V.A. Makarov, 2010, published in Optika i Spektroskopiya, 2010, Vol. 108, No. 5, pp. 849–855.
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Golubkov, A.A., Makarov, V.A. Determining the dielectric permittivity of a one-dimensionally inhomogeneous plate with a strong frequency dispersion and absorption from the reflection and transmission coefficients of s-polarized waves. Opt. Spectrosc. 108, 804–810 (2010). https://doi.org/10.1134/S0030400X1005019X
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DOI: https://doi.org/10.1134/S0030400X1005019X