On the scattering of waves by an expanding surface
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 27, Tome 250 (1998), pp. 35-48

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The perturbance of a harmonic plane wave by an obstacle, arising in a fixed point is considered. This obstacle expands and creates a wave with spherical front. The analitical expression of the scattered wave field in a small neighborhood of the wave front is obtained as in scalar as well in electromagnetic case.
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     author = {V. M. Babich and M. A. Lyalinov},
     title = {On the scattering of waves by an expanding surface},
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     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1998_250_a2/}
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V. M. Babich; M. A. Lyalinov. On the scattering of waves by an expanding surface. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 27, Tome 250 (1998), pp. 35-48. http://geodesic.mathdoc.fr/item/ZNSL_1998_250_a2/