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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 1998 Volume 250, Pages 35–48 (Mi znsl640)

On the scattering of waves by an expanding surface

V. M. Babich, M. A. Lyalinov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: 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.

UDC: 517.934

Received: 02.09.1997


 English version:
Journal of Mathematical Sciences (New York), 2000, 102:4, 4157–4165

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