Approximation Scheme for the Three-Dimensional Scattered Wave and Its Propagating Far-Field Pattern In a Finite Depth Ocean

摘要

The paper may be considered STEP ONE in a sequence dedicated to solving the submersible identification problem. The author's method is based on an approach used by Colton and Monk for similar problems using radar in space. The problem is much more difficult. First there is an index of refraction which depends, at least, on depth, and perhaps also on range. Second the domain is not all of space but an 'irregular slab'. In the first approach they shall concentrate on an ocean which is a slab of thickness h, and has a constant index of refraction, as the most disturbing aspect of the problem appears to be the way the ocean surface interfere with the propagation of sound.