Numerical search of surface waves in a periodic grating
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 54, Tome 533 (2024), pp. 114-123
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A two-dimensional reflection grating described by the Neumann problem for the Helmhotz equation is considered. The grating is obtained by adding a periodic sequence of rectangles to the upper half-plane. A method for approximate computation of the scattering matrix in the grating is implemented and its convergence is studied. A modification of the method is used for the numerical search of surface waves.
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