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Babich, V.M. and Pankratova, T.F. (1973) On Discontinuities of the Green Function of Mixed Problem for Wave Equation with Variable Coefficients. In: Problem of Mathematical Physics, Vol. 6, Leningrad University Press, 9-27.

has been cited by the following article:

  • TITLE: The Gaussian Beam Summation and the Gaussian Launching Methods in Scattering Problem

    AUTHORS: Papa Ousmane Leye, Ali Khenchaf, Philippe Pouliguen

    KEYWORDS: Gaussian Beams, RCS, Scattering, Radar Targets

    JOURNAL NAME: Journal of Electromagnetic Analysis and Applications, Vol.8 No.10, October 10, 2016

    ABSTRACT: This paper is mainly devoted to application of the Gaussian beam summation technique in electromagnetic simulations problem. Gaussian beams are asymptotic solutions of the Helmholtz equation within the paraxial approximation. Since they are insensitive to ray transition region, several techniques based on Gaussian beam are used to evaluate high frequency EM wave equation, which overcome partially or fully the difficulties of singular regions (caustics, zero field in shadow zones). This paper concentrates on the explicit formulation of the electromagnetic field scattered from radar target. In this approach, when the incident field illuminates the target, the scattering is accounted in a complex weighing function. The wave field at a receiver is evaluated as superposition of Gaussian beams concentrated close to rays emerging from the target, passing through the neighbor of the receiver.