Diffraction echo signal generated by the incidence of a~plane wave on a~prolate spheroid
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 14, Tome 140 (1984), pp. 18-35

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The problem of the diffraction of a plane wave by a prolate spheroid placed in a fluid is considered in the high-frequency approximation. The spheroid is hereby either a solid body or a shell. The contribution to the echo signal, i.e., the back-reflected field, of diffraction waves of creep and break-off type is investigated. Computational formulas for the geometric divergences of surface rays and also of creep and break-off waves are obtained.
@article{ZNSL_1984_140_a1,
     author = {V. S. Buldyrev and N. S. Grigor'eva},
     title = {Diffraction echo signal generated by the incidence of a~plane wave on a~prolate spheroid},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {18--35},
     publisher = {mathdoc},
     volume = {140},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_140_a1/}
}
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V. S. Buldyrev; N. S. Grigor'eva. Diffraction echo signal generated by the incidence of a~plane wave on a~prolate spheroid. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 14, Tome 140 (1984), pp. 18-35. http://geodesic.mathdoc.fr/item/ZNSL_1984_140_a1/