Geodesic
Computation of wave field in diffraction problem on a smooth periodic boundary
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 19, Tome 179 (1989), pp. 67-72

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Using asymptotic formulae obtained in previous papers by the authors wave field in penumbra between hills of a smooth boundary is computed. 
@article{ZNSL_1989_179_a8,
     author = {V. V. Zalipaev and M. M. Popov},
     title = {Computation of wave field in diffraction problem on a smooth periodic boundary},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {67--72},
     publisher = {mathdoc},
     volume = {179},
     year = {1989},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1989_179_a8/}
}
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V. V. Zalipaev; M. M. Popov. Computation of wave field in diffraction problem on a smooth periodic boundary. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 19, Tome 179 (1989), pp. 67-72. http://geodesic.mathdoc.fr/item/ZNSL_1989_179_a8/