A General Theory of Acoustic Propagation with Applications to Strong Acoustic Scattering in the Atmosphere and Ocean.
NAVAL UNDERWATER SYSTEMS CENTER NEW LONDON CONN NEW LONDON LAB
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This report contains the exact general solution to adiabatic acoustic propagation in arbitrary media. The exact general solution, which depends on the medium, may be obtained by a new algorithm derived from the new Field Feed-Back Theorem FF-BT. Existing theoretical solutions are all subject to at least one of four generic types of approximations. The theory leading to the general solution permits cataloging the models of the literature based on their assumptions and determines quantitatively the circumstances for which they are valid. As an illustration of the power of these methods, solutions for scattering from interfaces and particularly the ocean surface are obtained which agree with and extend the classical solutions. As one specific extension, it is found that for many circumstances the interactive scattering between surface and volume amounts 40 dB of the non-interacting scattering. The report also establishes specific and applied connections between the study of acoustic propagation and such other disciplines as filter and control theory and statistical communication theory from the viewpoint of modeling the medium as a statistical, physical distributed channel.