We present a rigorous method for solving the problems of diffraction of monochromatic electromagnetic waves on periodic structures of many types. The method is based on transformation of the Helmholtz equation and the boundary conditions to a certain system of integral equations and a subsequent rigorous solution of this system.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 53, No. 11, pp. 743–756, November 2010.
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Silin, D.E. A rigorous method for solving the problems of diffraction of monochromatic electromagnetic waves by periodic structures. Radiophys Quantum El 53, 666–678 (2011). https://doi.org/10.1007/s11141-011-9260-1
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DOI: https://doi.org/10.1007/s11141-011-9260-1