Geodesic
Wave-field asymptotics in the problem of diffraction by a~planar junction of thin layers and boundary-contact conditions
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 25, Tome 230 (1995), pp. 157-171

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The problem of diffraction by a planar junction of thin layers covering a perfectly conducting substratum is considered, and its asymptotic solution is constructed. The wave field in the vicinity of the junction of the layers is described by a function of the boundary layer. Based on the asymptotics obtained, the generalized impedance boundary condition, which simulates thin layers, and the contact conditions are derived. The uniqueness of the solution of a model problem is discussed. Bibl. 6 titles. 
@article{ZNSL_1995_230_a12,
     author = {M. A. Lyalinov},
     title = {Wave-field asymptotics in the problem of diffraction by a~planar junction of thin layers and boundary-contact conditions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {157--171},
     publisher = {mathdoc},
     volume = {230},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1995_230_a12/}
}
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M. A. Lyalinov. Wave-field asymptotics in the problem of diffraction by a~planar junction of thin layers and boundary-contact conditions. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 25, Tome 230 (1995), pp. 157-171. http://geodesic.mathdoc.fr/item/ZNSL_1995_230_a12/