Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2000-12-08
Nonlinear Sciences
Chaotic Dynamics
33 pages including 18 figs., LATEX
Scientific paper
An approximate analytical approach to describe the stochastic motion of sound rays in deep ocean is developed. This is done for a realistic propagation model with an internal wave induced perturbation imposed on the smooth background sound speed field. The chaotic ray dynamics is analyzed using the Hamiltonian formalism taken in terms of the action-angle canonical variables. It is shown that even at ranges of a few thousands km, the magnitude of range variations of the action variable is still small enough to be used as a small parameter in the problem. A simple expression for the difference in travel times of perturbed and unperturbed rays and approximate analytical solutions to stochastic ray (Hamilton) equations are derived. These relations are applied to study range variations of the timefront (representing ray arrivals in the time-depth plane). Estimations characterizing the widening and bias of timefront segments in the presence of perturbations are obtained. Qualitative and quantitative explanations are given to surprising stability of early portions of the timefront observed in both numerical simulations and field experiments. PACS number(s): 43.30.Cq, 43.30.Pc
No associations
LandOfFree
Ray travel times in range-dependent acoustic waveguides does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Ray travel times in range-dependent acoustic waveguides, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ray travel times in range-dependent acoustic waveguides will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-432655