Abstract
Main features of the ray method on a complex plane are briefly stated. As an example, the problem of an analytic description of a “nonradial” wave P* is considered. Bibliography: 10 titles.
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Literature Cited
Proceedings of the Engineering Institute on Electronics and Radio Electronics, Thematic issue “Rays and beams” [in Russian], Moscow (1974).
B. P. Maslov,Complex Method of WKB in Nonlinear Equations [in Russian], Moscow (1977).
G. Ghione, I. Montrosset, and L. Felsen, “Complex ray analysis of radiation from large apertures with tapered illumination”,IEEE Trans. Antennas and Propag. AP-2, No. 7, 684–693 (1984).
J. A. Kravtsov, “Complex rays and complex caustics”,Izv. Vyssh. Uchebn. Zavod., Radiofiz.,10, No. 9–10, 1283–1304 (1967).
K. G. Budden and P. D. Terry, “Radio ray tracing in complex space”,Proc. R. Soc., London, Ser. A,321, 275–301 (1972).
D. J. Hearn and E. S. Krebes, “Complex rays applied to wave propagation in a viscoelastic medium”,Pageoph 132, No. 1–2, 401–415 (1990).
B. A. Dubrovin, S. P. Nowikov, and A. T. Fomenko,Modern Geometry [in Russian], Moscow (1986).
V. M. Babich and A. P. Kiselev, “Geometry-seismical description of ‘nonradial’ wavesP *,S *,…,” (Preprint), LOMI P-11-87 [in Russian] (1987).
V. M. Babich and A. P. Kiselev, “Nongeometric waves — are there any? An asymptotic description of some ‘nongeometric’ phenomenon in seismic wave propagation”,Geophys. J. Int.,99, No. 2, 415–420 (1989).
V. S. Buslaev and M. M. Skriganov, “Coordinate asymptotics of a solution of the scattering problem for the Schrodinger equation”,Probl. Teor. Mat. Fiz., No. 2, 217–232 (1974).
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Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 186, pp. 20–32, 1990.
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Babich, V.M. On applying complex rays to calculation of scalar “Nongeometric” waves. J Math Sci 73, 308–316 (1995). https://doi.org/10.1007/BF02362814
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DOI: https://doi.org/10.1007/BF02362814