Stratified fluids whose densities, sound speeds and other parameters are functions of a single depth coordinate occur widely in nature. The purpose of this monograph is to develop from first principles a theory of sound propagation in stratified fluids whose densities and sound speeds are essentially arbitrary functions of the depth.
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1. Introduction.- 2. The Propagation Problems and Their Solutions.- 1. Summary.- 2. The Acoustic Propagator.- 3. Solutions with Finite Energy.- 3. Spectral Analysis of Sound Propagation in Stratified FluidS.- 1. Summary.- 2. The Reduced Propagator A?.- 3. Solutions of the Equation A?? = ??.- 4. Spectral Properties of A?.- 5. Generalized Eigenfunctions of A?.- 6. The Spectral Family of A?.- 7. The Dispersion Relations.- 8. The Spectral Family of A.- 9. Normal Mode Expansions for A.- 10. Semi-Infinite and Finite Layers.- 4. Transient Sound Field Structure in Stratified Fluids.- 1. Summary.- 2. Normal Mode Expansions of Transient Sound Fields.- 3. Transient Free Waves.- 4. Transient Guided Waves.- 5. Asymptotic Energy Distributions.- 6. Semi-Infinite and Finite Layers.- 5. Scattering of Signals by Inhomogeneous Layers.- 1. Summary.- 2. Signals in Homogeneous Fluids.- 3. The Reflected and Transmitted Signals.- 4. Construction of the Scattering Operator.- 5. The Scattering Operator and Signal Structure.- Appendix 1. The Weyl-Kodaira-Titchmarsh Theory.- Appendix 2. Stationary Phase Estimates of Oscillatory Integrals with Parameters.- References.
Book by Wilcox Calvin H
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