A path-integral approach to the parabolic approximation. I

DOI10.1121/1.383240zbMath0419.76062OpenAlexW4256501702MaRDI QIDQ3853332

David R. Palmer

Publication date: 1979

Published in: The Journal of the Acoustical Society of America (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1121/1.383240

zbMATH Keywords

Helmholtz equationgeometrical opticspath-integral approachparabolic approximationstationary phase approximationunderwater sound propagationRytov approximationthree-dimensional oceanparabolic (diffusion) equationunbounded, inhomogeneous medium

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Initial value problems for second-order parabolic equations (35K15)

Related Items (3)

A parabolic approximation method with application to global wave propagation ⋮ Derivation and application of extended parabolic wave theories. I. The factorized Helmholtz equation ⋮ Derivation and application of extended parabolic wave theories. II. Path integral representations

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