Geodesic
Green’s function for the Helmholtz equation in a polygonal domain of special form with ideal boundary conditions
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 48, Tome 471 (2018), pp. 150-167 
M. A. Lyalinov. Green’s function for the Helmholtz equation in a polygonal domain of special form with ideal boundary conditions. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 48, Tome 471 (2018), pp. 150-167. http://geodesic.mathdoc.fr/item/ZNSL_2018_471_a10/
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     title = {Green{\textquoteright}s function for the {Helmholtz} equation in a~polygonal domain of special form with ideal boundary conditions},
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

A formal approach for the construction of the Green's function in a polygonal domain with the Dirichlet boundary conditions is proposed. The complex form of the Kontorovich–Lebedev transform and reduction to a system of integral equations is exploited. The far-field asymptotics of the wave field is discussed.

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