Geodesic
Diffraction of plane sound waves on a hard-soft half-plane
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2018), pp. 34-40

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A simple method is proposed for solving the problems of diffraction of plane acoustic waves on a half-plane with dissimilar boundary conditions on its surfaces (the Neumann condition on one surface and the Dirichlet condition on the opposite surface). In contrast to existing techniques, the proposed method allows one to obtain analytical solutions valid both near the half-plane edge and at far distances from the edge. 
@article{VMUMM_2018_4_a5,
     author = {M. Sh. Israilov},
     title = {Diffraction of plane sound waves on a hard-soft half-plane},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {34--40},
     publisher = {mathdoc},
     number = {4},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2018_4_a5/}
}
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M. Sh. Israilov. Diffraction of plane sound waves on a hard-soft half-plane. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2018), pp. 34-40. http://geodesic.mathdoc.fr/item/VMUMM_2018_4_a5/