Analytical Representations of Far Fields of Internal Gravity Waves from Local and Nonlocal Perturbation Sources

Abstract

In this work, the analytical representations of far fields of internal gravity waves from local and nonlocal perturbation sources in a layer of arbitrarily stratified medium of finite depth are considered. The internal criteria of applicability of various asymptotic representations are formulated that provide a predetermined accuracy of asymptotic calculations of far wave fields. It is shown that for elongated perturbation sources, in the case when the characteristic dimensions of the source are comparable to the width of the first pulse of the wave, the corresponding convolution provides the maximum values of the elevation field of internal gravity waves in the neighborhood of the wave front and, oscillating, rapidly decays with distance from it, because the neighboring half-waves mitigate each other far from the wave front.