Internal Gravity Waves in the Ocean with Background Shear Flows Excited by Nonstationary Sources

The problem of internal gravity wave generation by a localized oscillating perturbation source in an ocean of finite depth with background shear flows is considered. Model representations of the buoyancy frequency and the shear flow distribution at depth are used to construct analytical solutions in the linear approximation. Under the Miles–Howard assumption, an integral representation of the solution is constructed as the sum of wave modes. Using the stationary phase method, an asymptotic representation of the solution for an individual mode is obtained. The spatial transformation of the phase structures of wave fields is studied depending on the oscillation frequency of the perturbation source and the main characteristics of the shear flows. Experimentally measured shear flows in abyssal channels are shown and compared with the results of laboratory modeling.