Asymptotics of Far Fields of Internal Gravity Waves Caused by Localized Sources in an Infinite Deep Stratified Medium

Abstract

In this work, the far fields of internal gravity waves excited by a perturbation source moving in a vertically infinite stratified medium are studied. Propagation of waves in inviscid, incompressible medium with an exponential distribution of unperturbed density is considered. In the linear approximation and in the Boussinesq approximation, uniform asymptotics of excited fields of internal gravity waves far from the moving perturbation source are built, including those in the neighborhood of the traverse plane and the motion horizon. The obtained asymptotic solutions allow effectively computing the main amplitude-phase characteristics of excited far fields of internal gravity waves at certain modes of generation and, in addition, qualitatively analyzing the obtained solutions, which is important to correct formulation of more sophisticate mathematical models of wave dynamics of real natural stratified media.