Formal Derivations of Mode Coupling Equations in Underwater Acoustics: How the Method of Multiple Scales Results in an Expansion over Eigenfunctions and the Vectorized WKBJ Solution for the Amplitudes

Formal Derivations of Mode Coupling Equations in Underwater Acoustics: How the Method of Multiple Scales Results in an Expansion over Eigenfunctions and the Vectorized WKBJ Solution for the Amplitudes

In this study formal derivation of mode coupling equations in underwater acoustics is revisited. This derivation is based on the method of multiple scales from which modal expansion of the field emerges, and the vectorized WKBJ equation for the coefficients in this expansion are obtained in an autom...

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Bibliographic Details
Main Authors: Mikhail Trofimov, Sergey Kozitskiy, Alena Zakharenko, Pavel Petrov
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Journal of Marine Science and Engineering
Subjects:
underwater acoustics
normal modes
mode couling
method of multiple scales
WKBJ
range-dependent waveguide
Online Access:https://www.mdpi.com/2077-1312/11/4/797

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