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

5 Scopus citations

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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10.1063/1.864500

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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.",

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AB - 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.

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A uniform integral representation for geometric optics solutions near caustics

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