A scaled mapping approach for treating sloping interfaces in range-dependent parabolic equation solutions
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An area of research in ocean acoustics is on solution techniques for environments with sloping seafloors. In these range-dependent environments the oceanic waveguide varies in the direction of propagation and exact analytic solutions do not exist. In order to enforce continuity conditions at the seaoor, the environment is approximated as a series of range-independent regions. An alternative to this approach, the mapping solution [M. D. Collins et al., JASA 107] applies a change of variables that results in a vertical translation of the environment and makes it easier to enforce ocean bottom ...