Abstract
A concept for rapidly probing shallow water bathymetry [B. E. McDonald and Charles Holland, J. Acoust. Soc. Am. 109, 2495 (2001)] using reverberation from a time reversed mirror (TRM) is further developed. Adiabatic modal analysis and WKB methods applied to a mildly range-dependent shallow water waveguide lead to a simple relation between TRM focal shifts and range integrated bathymetric variations. This relation is compared with RAM simulations carried out in conjunction with the July 1999 Saclantcen–Scripps bottom reverberation experiment near Elba. Our integral expression is found to agree satisfactorily with focal spot shifts predicted by RAM. Simulation studies using the Saclantcen prosim reverberation model are also presented to help explain details of the July 1999 data. Experimental implications for rapid assessment of unknown or shifting shallow bathymetry are discussed. [Work supported by NRL.]
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