Method of the spectral parameter power series in problems of underwater acoustics of the stratified ocean

Vladimir S. Rabinovich; Josué Hernández-Juárez

doi:10.1002/mma.3197

Method of the spectral parameter power series in problems of underwater acoustics of the stratified ocean

Vladimir S. Rabinovich, Josué Hernández-Juárez

Escuela Superior de Ingeniería Mecánica y Eléctrica (ESIME), Unidad Zacatenco

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

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.

Original language	English
Pages (from-to)	1990-1999
Number of pages	10
Journal	Mathematical Methods in the Applied Sciences
Volume	38
Issue number	10
DOIs	https://doi.org/10.1002/mma.3197
State	Published - 15 Jul 2015

Keywords

spectral parameter power series
underwater sound propagation

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10.1002/mma.3197

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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.",

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AB - 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.

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Method of the spectral parameter power series in problems of underwater acoustics of the stratified ocean

Abstract

Keywords

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