Abstract
In the present paper, the perturbance of a harmonic plane wave by an expanding surface originating at a fixed point is considered. This surface generates a wave with spherical front. An analytic expression of the wave field in the vicinity of the wave front is obtained both in the scalar and in the electromagnetic case. Bibliography: 7 titles.
Similar content being viewed by others
References
V. M. Babich, V. S. Buldyrev, and I. A. Molotkov,The Space-Time Ray Method: Linear and Nonlinear Waves [in Russian], Leningrad (1985).
V. M. Babich and V. S. Buldyrev,Asymptotic Methods in the Problem of Diffraction of Short Waves [in Russian], Moscow (1972).
V. I. Smirnov,A Course in Higher Mathematics [in Russian], Vol. 3, Part 2 (1969).
V. A. Borovikov,Diffraction on Polygons and Polyhedrons [in Russian], Nauka, Moscow (1966).
J. R. Mentzer,Scattering and Diffraction of Radio Waves, Pergamon Press, London-New York (1955).
S. L. Sobolev, “Some new problems of the theory of equations in partial derivatives of the hyperbolic type,”Mat. Zb.,11(3), 155–203 (1942).
M. A. Lyalinov, “Scattering of a plane wave by a circular cylinder with uniformly increasing radius,”IEEE Trans. AP-42, No. 11, 1574–1577 (1994).
Additional information
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 250, 1998, pp. 35–48.
Translated N. S. Zabavnikova.
Rights and permissions
About this article
Cite this article
Babich, V.M., Lyalinov, M.A. Scattering of waves by an expanding surface. J Math Sci 102, 4157–4165 (2000). https://doi.org/10.1007/BF02673846
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02673846