10 citations · 13 across the 8 of their papers we have counts for
8 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 amplitude equation for long, nonlinear internal waves in a weak shear flow over topography
M. Yu. Trofimov
A forced, variable coefficients Kor\-te\-weg-de Vries equation for amplitudes of long, nonlinear internal waves in a stratified shear flow over topography is derived when the magni…
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…
A nonstationary form of the range refraction parabolic equation and its application as an artificial boundary condition for the wave equation in a waveguide
P. S. Petrov, M. Yu. Trofimov
The time-dependent form of Tappert's range refraction parabolic equation is derived using Daletskiy-Krein formula form noncommutative analysis and proposed as an artificial boundar…