Surface-Wave Propagation in a Continuously Stratified Medium

Abstract

The problem of long range propagation in a continuously stratified medium is considered for those cases where the stratification is such that a region of slow sound velocity is found to be embedded in a region of relatively faster sound velocity. It is then possible to explain the guiding mechanism of the medium in terms of surface-wave theory. The technique employed utilizes an equivalent integral-equation representation for the differential equations describing the boundary-valve problem, and yields information concerning the dispersive character of the medium. As a means of illustrating the mechanics of this technique and demonstrating its application, dispersion curves are obtained for the particular case of propagation in the sofar sound channel.

A multilevel finite element method for Fredholm integral eigenvalue problems

“…[6,9,11,13] and references therein). Here, we focus on its particular application for Karhunen-Lòeve approximation of random fields, which plays an important role in uncertainty quantification (UQ) [2,10].…”