Uniform Asymptotic Expansion of the Generalized Bremmer Series

DOI10.1137/S0036139997323619zbMath0979.35030OpenAlexW1991879057MaRDI QIDQ4507238

A. K. Gautesen, Maarten V. de Hoop

Publication date: 18 October 2000

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139997323619

zbMATH Keywords

acoustic waveswavefield decomposition

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Asymptotic expansions of solutions to PDEs (35C20) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20)

Related Items (4)

Bremmer series for the multimodal sound propagation in inhomogeneous waveguides ⋮ Asymptotic wave-splitting in anisotropic linear acoustics ⋮ Exact constructions of square-root Helmholtz operator symbols: The focusing quadratic profile ⋮ Generalization of the phase-screen approximation for the scattering of acoustic waves.

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