Geodesic
Asymptotic solution of a~two scales problem of wave-propagation with a~local degeneration point
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 10, Tome 89 (1979), pp. 275-285

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The paper deals with wave propagation in media where the scale of changing along one of the coordinates is much more thaft that along the other one. A local degeneration of the waves is investigated and transformation coefficients are deduced. The example of a bend wave propagation in a symmetric plate is considered. 
@article{ZNSL_1979_89_a20,
     author = {A. S. Starkov},
     title = {Asymptotic solution of a~two scales problem of wave-propagation with a~local degeneration point},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {275--285},
     publisher = {mathdoc},
     volume = {89},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_89_a20/}
}
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A. S. Starkov. Asymptotic solution of a~two scales problem of wave-propagation with a~local degeneration point. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 10, Tome 89 (1979), pp. 275-285. http://geodesic.mathdoc.fr/item/ZNSL_1979_89_a20/