Abstract
The diffraction of a plane wave by a parabolic cylinder with arbitrary maximal curvature is considered. The continuous transition from the description of diffraction by a smooth body to the description of diffraction by a half plane is traced for the example of this problem. An estimate of the error of the asymptotic formulas for the reflected wave is obtained as a result of numerical analysis.
Similar content being viewed by others
Literature cited
V. M. Babich and V. S. Buldyrev, Asymptotic Methods in Problems of the Diffraction of Short Waves [in Russian], Nauka (1972).
V. M. Babich and N. Ya. Kirpichnikova, The Boundary-Layer Method in Diffraction Problems [in Russian], Leningrad State Univ. (1974).
V. N. Tarasov, “The occurrence of a cylindrical wave in the reflection of a plane wave from a parabolic cylinder,” Radiotekh. Elektron.,22, No. 3, 496–504 (1977).
V. N. Tarasov, “The diffraction of a plane wave by smooth cylindrical surfaces of thin, wedge-shaped form,” Vestn. Leningr. Gos. Univ., No. 16, 40–46 (1977).
V. S. Buldyrev and A. A. Nedelin, “Uniform asymptotic formulas for parabolic cylinder functions in the complex plane of the index,” in: Questions of the Dynamic Theory of the Propagation of Seismic Waves, XIV [in Russian], Leningrad (1974), pp. 61–83.
V. I. Ivanov, “The diffraction of short waves by a parabolic cylinder,” Zh. Vychisl. Mat. Mat. Fiz.,2, No. 2, 241–254 (1962).
Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 78, pp. 211–219, 1978.
Rights and permissions
About this article
Cite this article
Tarasov, V.N. Numerical analysis of the asymptotic formulas for the wave field reflected from a cylindrical surface with arbitrary maximal curvature. J Math Sci 22, 1143–1149 (1983). https://doi.org/10.1007/BF01305297
Issue Date:
DOI: https://doi.org/10.1007/BF01305297