Abstract
We consider the effect of the arbitrary parameters in the Gaussian beam expressions. An exactly solvable problem is used to demonstrate how the applicability of the Gaussian beam method may be extended by an appropriate choice of parameters for a fixed frequency.
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Literature cited
M. M. Popov, “A new method for calculation of wave fields in the high-frequency approximation,” J. Sov. Math.,20, No. 1 (1982).
A. P. Kachalov and M. M. Popov, Application of Gaussian Beams in Isotropic Elasticity Theory [in Russian], Preprint LOMI R-9-82, LOMI AN SSSR 1982, pp. 3–14.
A. P. Katchalov and M. M. Popov, “Application of the Gaussian beam method to elasticity theory,” Geophys. J. R. Astron. Soc.,81, 205–214 (1985).
L. B. Felsen, “Geometrical theory of diffraction, evanescent waves, complex rays and Gaussian beams,” Geophys. J. R. Astron. Soc.,79, 77–88 (1984).
Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 148, pp. 116–119, 1985.
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Lanin, A.I., Popov, M.M. Choice of parameters in the Gaussian beam method. J Math Sci 38, 1641–1644 (1987). https://doi.org/10.1007/BF01100145
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DOI: https://doi.org/10.1007/BF01100145