Geodesic
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. 
@article{ZNSL_2024_533_a6,
     author = {M. M. Kabardov and O. V. Sarafanov},
     title = {Numerical search of surface waves in a periodic grating},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {114--123},
     publisher = {mathdoc},
     volume = {533},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2024_533_a6/}
}
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M. M. Kabardov; O. V. Sarafanov. 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. http://geodesic.mathdoc.fr/item/ZNSL_2024_533_a6/