Multiple Surface Scattering from the Ice Covered Arctic Ocean.
The range dependent boundary condition imposed by a rough ice surface serves to couple the normal-modes of an underwater acoustic field. Beginning with the parabolic wave equation, the solution is expanded in terms of normal-mode depth functions modulated by random amplitudes. A system of master equ...
Main Authors: | , , |
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Other Authors: | |
Format: | Text |
Language: | English |
Published: |
1979
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Subjects: | |
Online Access: | http://www.dtic.mil/docs/citations/ADA069843 http://oai.dtic.mil/oai/oai?&verb=getRecord&metadataPrefix=html&identifier=ADA069843 |
Summary: | The range dependent boundary condition imposed by a rough ice surface serves to couple the normal-modes of an underwater acoustic field. Beginning with the parabolic wave equation, the solution is expanded in terms of normal-mode depth functions modulated by random amplitudes. A system of master equations for the quantities an (r) an * (r) is derived, where the a sub n (r) are the normal mode amplitudes, and the brackets indicate an ensemble average. The master equations determine the mean power in each mode as a function of range, describing the transfer of energy between modes. Explicit relations for the coupling coefficients are obtained in terms of the spectrum of the rough surface. Transmission loss, intensity redistribution and the approach to equipartition of energy as functions of range and depth are obtained numerically. (Author) Prepared in cooperation with New York Univ., NY. |
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