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Method of the spectral parameter power series in problems of underwater acoustics of the stratified ocean
Author(s) -
Rabinovich Vladimir S.,
HernándezJuárez Josué
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3197
Subject(s) - underwater , series (stratigraphy) , mathematics , power series , underwater acoustics , acoustics , dispersion (optics) , power (physics) , spectral density , mathematical analysis , spectral analysis , calculus (dental) , statistics , geology , oceanography , physics , optics , paleontology , quantum mechanics , spectroscopy , medicine , dentistry
The spectral parameter power series method is applied to problems of underwater sound propagation in the stratified ocean. This method is based on representations of solutions of vertical Sturm–Liouville problems of the form of power series with respect to the spectral parameter, and it gives an effective dispersion equation for wave numbers and explicit expressions for the propagating modes. Copyright © 2014 John Wiley & Sons, Ltd.