## Acoustic waveguides: applications to oceanic scienceGood,No Highlights,No Markup,all pages are intact, Slight Shelfwear,may have the corners slightly dented, may have slight color changes/slightly damaged spine. |

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### Contents

THE FUNDAMENTAL EQUATIONS | 1 |

MATHEMATICAL REVIEW | 39 |

PROPAGATION IN THE OCEAN AS A BOUNDARY VALUE | 111 |

Copyright | |

7 other sections not shown

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### Common terms and phrases

acoustic pressure amplitude arbitrary assume becomes Bessel functions Bessel's equation boundary conditions branch cut Cartesian consider constant contour convergence coordinate system cylindrical defined density depth function derivative differential equation diffraction dr2 r dr eigenfunctions eigenvalues energy equivalent ray expression fluid frequency geometry given by Eq Green's function Hankel function Helmholtz equation homogeneous layer infinity inhomogeneous integral interval meters normal mode obtain oceanic waveguide orthonormal parameter particle phase velocities problem propagation radiation ray bundle ray theory approximation receiver depth refracted result rigid bottom sea surface Section separation of variables shadow zone shown in Figure smooth caustic solution of Eq solve sound speed sound velocity source depth speed of sound Sturm-Liouville Sturm-Liouville problem surface duct theorem transmission loss turning point uniform convergence values vanish vector volume water column wave equation wave front wave number waveguide WKB approximation WKB solution zero