Far Fields Asymptotics of Internal Gravity Waves from a Pulse Localized Source in a Rotating Stratified Medium

Abstract

The problem of constructing asymptotics of the internal gravity waves far fields arising from an pulsed localized source of perturbations in a stratified fluid of finite depth rotating as a whole is solved. In the approximation of constancy of the buoyancy frequency, uniform and nonuniform asymptotics of solutions are constructed to describe far wave fields, which are expressed in terms of the Airy function and its derivative. The exact and asymptotic results are compared, and it is shown that at times longer than several buoyancy periods and at distances on the order of the liquid-layer thickness, the obtained asymptotics allow one to describe the amplitude–phase structure of far wave fields.