## Fundamentals of Shallow Water AcousticsShallow water acoustics (SWA), the study of how low and medium frequency sound propagates and scatters on the continental shelves of the worlds oceans, has both technical interest and a large number of practical applications. Technically, shallow water poses an interesting medium for the study of acoustic scattering, inverse theory, and propagation physics in a complicated oceanic waveguide. Practically, shallow water acoustics has interest for geophysical exploration, marine mammal studies, and naval applications. Additionally, one notes the very interdisciplinary nature of shallow water acoustics, including acoustical physics, physical oceanography, marine geology, and marine biology. In this specialized volume the authors, all of whom have extensive at-sea experience in US and Russian research efforts, have tried to summarize the main experimental, theoretical, and computational results in shallow water acoustics, with an emphasis on providing physical insight into the topics presented. |

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### Contents

1 | |

17 | |

Foundations of the Theory of Propagation of Sound | 78 |

Examples Illustrating the Characteristics of Waveguide Propagation | 145 |

Sound Field in Shallow Water with Random Inhomogeneities | 193 |

LowFrequency Bottom Reverberation in Shallow Water | 238 |

The Inverse Problem | 267 |

Signal Processing | 305 |

Appendix A Waves and Signals | 439 |

Appendix B Modal Decomposition of the Sound Field from a Point Source Green Function | 473 |

Appendix C Mode Coupling Equations | 481 |

Appendix D Empirical Orthogonal Functions | 487 |

Appendix E Scattering at Localized Inhomogeneities in the Waveguide Approximate Description | 493 |

Appendix F Reflection of a Plane Wave from HalfSpace | 499 |

Main Provisional Notation | 503 |

509 | |

### Other editions - View all

Fundamentals of Shallow Water Acoustics Boris Katsnelson,Valery Petnikov,James Lynch Limited preview - 2012 |

Fundamentals of Shallow Water Acoustics Boris Katsnelson,Valery Petnikov,James Lynch No preview available - 2011 |

Fundamentals of Shallow Water Acoustics Boris Katsnelson,Valery Petnikov,James Lynch No preview available - 2013 |

### Common terms and phrases

absorption amplitude approximation array attenuation coefficient average backscattering Barents Sea beamformer boundary conditions Brekhovskikh calculations characteristics coastal component consider coordinates correlation function corresponding density depth determined direction dispersion distance distribution effects eigenfunctions eigenvalues equation estimate example experiment experimental expression f ¼ ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi fluctuations frequency dependence geoacoustic gradient grazing angle Green function group velocities horizontal plane horizontal rays hydrophones integral intensity internal waves inverse Katsnelson layer linear low-frequency measured medium modal mode coupling mode number noise field nonlinear obtain oceanography Pekeris model perturbation phase problem pulse radiated random inhomogeneities receiver refraction refractive index scattering sediments shallow water acoustics shelf shown in Fig signal soliton solution sound field sound source sound speed profile sound-speed profile spatial spectral spectrum Springer Science+Business Media surface waves theory underwater variability variation vector vertical water column wave vector waveguide modes waveguide parameters wavenumber