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P. Borejko:
"An exact solution for the acoustic field in a perfect wedge";
Talk: 5th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Technology, Corfu, Greece; 2001-10-18 - 2001-10-19; in: "Scattering and Biomedical Engineering", D. Fotiadis, C. Massalas (ed.); World Scientific, (2002), ISBN: 981-238-054-x; 87 - 113.

A solution is presented for the three-dimensional (3-D) acoustic pressure-field from an impulsive point source in a liquid wedge with impenetrable boundaries (mixed Dirichlet-Neumann) modeling a wedge-shaped ocean channel. This exact and complete solution is in the form of a sum of partial waves including the pulse emitted from the source plus a finite number of pulses reflected off the wedge boundaries, and it is generally valid for all ranges and depths. The 3-D acoustic propagation effects in the impenetrable wedge are examined for range propagation when the receivers are located directly up-slope and down-slope of the source and at the source-point itself, and for cross-range propagation when the receivers are located directly cross-slope of the source. When the receiver recedes up-slope from the source, the duration of the response is shortened, and the number of pulses arriving along the indirect ray paths (the backscattered pulses) decreases. When the receiver recedes down-slope from the source, the response duration is constant, and the number of backscattered pulses also decreases. As the source and the receiver separate in the cross-range-direction, the response duration is so shortened that the arrival of the last-arriving pulse approaches that of the first-arriving pulse in the limit (i.e., when the separation between the source and the receiver is large in the cross-range-direction), and the number of backscattered pulses remains constant.