A uniform integral representation for geometric optics solutions near caustics

G. Hazak; L. Friedland; Ira B. Bernstein

doi:10.1063/1.864500

A uniform integral representation for geometric optics solutions near caustics

G. Hazak^*, L. Friedland, Ira B. Bernstein

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

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Abstract

Generalized Fourier integral (GFI) representation of geometric optics solutions for the field of dressed particles in inhomogeneous plasmas is applied to the problem of wave propagation near caustics: GFI is based on the replacement of plane waves, conventionally used in Fourier integrals for homogeneous plasmas, by a complete orthogonal set of "quasiplane" waves for the case of an inhomogeneous plasma. It is shown that the resulting integral provides a uniform asymptotic approximation to the exact solution of the wave equation.

Original language	English
Pages (from-to)	129-132
Number of pages	4
Journal	Physics of Fluids
Volume	27
Issue number	1
DOIs	https://doi.org/10.1063/1.864500
State	Published - 1984

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A uniform integral representation for geometric optics solutions near caustics

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