Asymptotic and Numerical Methods in Applied Wave Propagation
Final technical rept. 23 Apr 1990-31 Dec 1991
NEW JERSEY INST OF TECH NEWARK DEPT OF MATHEMATICS
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The initial thrust of our research program was to study the propagation of acoustic waves from a time periodic point source in an ocean whose properties vary slowly with range, and which rests on an elastic bottom whose properties may also vary slowly with range. The motivations for these investigations were to study the propagation of sound in realistic ocean environments and to specifically understand the physics of mode cut-off. In this important situation it is imperative to know the amount of energy lost to the ocean bottom and the amount converted into the reflected modes. The detailed knowledge of the reflected acoustic wave is important in target acquisition and determination, i.e., in inverse problems. Our research program evolved over the last part of the contract period to address and study certain types of inverse problems which may prove useful target determination and acquisition. Appendix A contains a bibliography of papers published, submitted for publication, or in preparation that have been supported by this contract.