Abstract
It is shown that two linearly independent solutions to the wave equation written for magnetodielectric structures that are inhomogeneous in one direction can be represented as a forward and a backward wave with the help of one function g(z). All basic characteristics describing a wave propagating in an inhomogeneous medium can be expressed in terms of this auxiliary function. Boundary conditions for this function are found that generate distributions ensuring total transmission (at a given frequency) of the wave incident onto the coating layer. Correct mathematical formulation of optimization problems for various coatings is given as the problem of the search for the introduced function with additional constraints.
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References
L. M. Brekhovskikh, Waves in Layered Media (Akad. Nauk SSSR, Moscow, 1957; Academic, New York, 1960).
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Original Russian Text © B.A. Lagovsky, 2006, published in Radiotekhnika i Elektronika, 2006, Vol. 51, No. 1, pp. 74–83.
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Lagovsky, B.A. Absorbing and antireflecting continuously inhomogeneous coatings for electromagnetic waves. J. Commun. Technol. Electron. 51, 68–77 (2006). https://doi.org/10.1134/S1064226906010098
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DOI: https://doi.org/10.1134/S1064226906010098