Wave field dynamics of a stratified medium with variable depths

Abstract

The distribution of inner gravitational waves in the ocean is substantially influenced by both heterogene� ities in hydrophysical fields (for example, density field) and variations in the bottom topography. More� over, correct analytical solutions of wave problems result only in a situation, when the water density dis� tribution and bottom topography are described by rel� atively simple model functions. When the medium and boundary parameters are unconditioned, only numer� ical solutions of such problems are possible. At the same time, the latter prevent the adequate analysis of characteristics of wave fields, particularly over a large distance, which is necessary for solving some prob� lems, such as, for example, detection of inner waves by remote methods including aerospace radiolocation. In such a situation, the description and analysis of wave dynamics may be realized through developing asymp� totic models and using analytical methods for their solution based on the proposed modified method of geometrical optics. In this communication, we consider the problem of far fields of inner gravity waves that propagate in the sea medium with a finite depth and variable bottom topography. The heterogeneity of the density field is modeled by the constant distribution of the Brent� Vaisala frequency (