Abstract
Recent developments of parabolic equations for modeling reverberation will be presented. This method is applicable to the 2-D reverberation problems with general sound speed profiles, sediment layering, and interface roughness. The environment is sub-divided into range-independent regions, and the forward and back-scattered fields are coupled at each interface with a single-scattering approximation. This method incorporates a cumulative scattering loss into the forward field, but neglects the non-local coupling terms between the forward and backward scattered fields. The back-scattered field is stored at each interface on a forward sweep through the environment and back-propagated on backward sweep. Reverberation time series are Fourier synthesized from the frequency domain solutions. This technique is fundamentally different than scattering kernel based approaches and provides an independent method for obtaining the forward and back-scattered solutions for reverberation problems. As currently implemented, this model does not include multiple scattering effects, but the algorithm may be generalized to include multiple scattering with iterative sweeps through the propagation domain. The method applied to 2-D reverberation problems from the recent Reverberation Modeling Workshop (November 2006) and results are compared with ray and normal-mode based models. [Work supported by ONR.]
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