Propagating Solutions and Far-Field Patterns for Acoustic Harmonic Waves in a Finite Depth Ocean

摘要

In the theoretical study of the sound field produced by a source in an ocean, one must be closer to the sources in order to be able to detect them. In the future, one must assess the effects of distributed sources of sound, that is, one must consider the shapes of the sound sources. The paper discusses the direct propagation problem and the inverse scattering problem. The paper obtains a representation in terms of single and double layer potentials for the solutions, establishes an existence theorem, and furthermore, finds a representation for the far field pattern. Based on these results, it can characterize the far-field pattern and discuss the inverse scattering problem.