Abstract
In the paper a comparison is made of results obtained by Kirchhoff 's method and by the method of the parabolic equation in solving the problem of whispering gallery waves propagating over a concave — convex boundary.
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Literature cited
V. S. Buldyrev and A. I. Lanin, “The radiation field of a whispering gallery wave over a concave — convex boundary,” this issue, p. 1776.
M. M. Popov and I. Pshenchik, “Numerical solution of the problem of whispering gallery waves in a neighborhood of a simple zero of the effective curvature of the boundary,” Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,62, 207–219 (1976).
A.I. Lanin and M. M. Popov “Comparison of the Kirchhoff method and the method of the parabolic equation in the problem of whispering gallery waves near an inflection point,” in: Brief Texts of Reports at the Seventh All-Union Symposium on the Diffraction and Propagation of Waves [in Russian], Vol. 1, Moscow (1977), pp. 37–40.
Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 104, pp. 139–145, 1981.
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Lanin, A.I. Comparison of the field of a whispering gallery wave computed by Kirchhoff's method and by the method of the parabolic equation in a neighborhood of zero curvature of the boundary. J Math Sci 20, 1836–1839 (1982). https://doi.org/10.1007/BF01119367
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DOI: https://doi.org/10.1007/BF01119367