Geodesic
Rayleigh asymptotics of diffraction problems
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 8, Tome 62 (1976), pp. 52-59

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The paper presents a general procedure for constructing the complete low-frequency asymptotics of diffractions problems applied to the scalar Helmholtz equation. The scattered fields in the near- and far-field zones for various types of boundary conditions are investigated. 
@article{ZNSL_1976_62_a5,
     author = {V. Yu. Gotlib},
     title = {Rayleigh asymptotics of diffraction problems},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {52--59},
     publisher = {mathdoc},
     volume = {62},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1976_62_a5/}
}
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V. Yu. Gotlib. Rayleigh asymptotics of diffraction problems. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 8, Tome 62 (1976), pp. 52-59. http://geodesic.mathdoc.fr/item/ZNSL_1976_62_a5/