Guided mode disappearance during upslope propagation in variable depth shallow water overlying a fluid bottom

DOI10.1121/1.388033zbMath0494.76083OpenAlexW1975208814MaRDI QIDQ3958174

Allan D. Pierce

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1121/1.388033

zbMATH Keywords

matched asymptotic expansionsHelmholtz equationtransition regionshallow watertwo-dimensionalguided modevariable depthorthogonal curvilinear coordinate systemadiabatic mode theory for upslope propagationwater-bottom interface

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotic expansions of solutions to PDEs (35C20) Hydro- and aero-acoustics (76Q05) Representations of solutions to partial differential equations (35C99)

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Adiabatic evolution generated by a Schrödinger operator with discrete and continuous spectra ⋮ Method of the spectral parameter power series in problems of underwater acoustics of the stratified ocean ⋮ Radiation from a cut-off point in a two layer nonlinear te mode waveguide ⋮ On the delocalization of a quantum particle under the adiabatic evolution generated by a one-dimensional Schrödinger operator ⋮ Normal-mode radiation in the critical section of a variable-width waveguide ⋮ Generalized ray method for three-dimensional propagation in a penetrable wedge ⋮ Invertibility of Helmholtz operators for nonhomogeneous medias ⋮ Local intrinsic modes: Layer with nonplanar interface ⋮ Adiabatic approximation of the Green function of the Helmholtz operator in almost stratified medias ⋮ On adiabatic normal modes in a wedge-shaped sea

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