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- Title
Method of the spectral parameter power series in problems of underwater acoustics of the stratified ocean.
- Authors
Rabinovich, Vladimir S.; Hernández‐Juárez, Josué
- Abstract
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.
- Subjects
ACOUSTIC wave propagation; MATHEMATICAL models of underwater acoustics; NUMERICAL solutions to Sturm-Liouville equations; FOURIER transforms; SOBOLEV spaces; EIGENVALUES; HEAD waves
- Publication
Mathematical Methods in the Applied Sciences, 2015, Vol 38, Issue 10, p1990
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.3197