10 citations · 11 across the 6 of their papers we have counts for
6 papers
Mode Gaussian beam tracing
M. Yu. Trofimov, A. D. Zakharenko, S. B. Kozitskiy
An adiabatic mode Helmholtz equation for 3D underwater sound propagation is developed. The Gaussian beam tracing in this case is constructed. The test calculations are carried out…
An energy flux conserving one-way coupled mode propagation model
M. Yu. Trofimov, S. B. Kozitskiy, A. D. Zakharenko
A pure analytic one-way coupled mode propagation model for resonant interacting modes is obtained by the multiscale expansion method. It is proved that the acoustic energy flux is…
A ray mode parabolic equation for shallow water acoustics propagation problems
M. Yu. Trofimov, A. D. Zakharenko
Ray mode parabolic equations which are suitable for shallow water acoustics propagation problems are derived by the multiple-scale method.
A mode parabolic equations method with the resonant mode interaction
M. Yu. Trofimov, S. B. Kozitskiy, A. D. Zakharenko
A mode parabolic equation method for resonantly interacted modes was developed. The flow of acoustic energy is conserved for the derived equations with an accuracy adequate to the…
Scattering of internal waves from small sea bottom inhomogeneities
A. D. Zakharenko
The problem of scattering of linear internal waves from small compact sea bottom inhomogeneities is considered from the point of view of mode-to-mode scattering. A simple formula f…
On the parabolic equation method in internal wave propagation
M. Yu. Trofimov, S. B. Kozitskiy, A. D. Zakharenko
A parabolic equation for the propagation of periodic internal waves over varying bottom topography is derived using the multiple-scale perturbation method. Some computational aspec…