Ray chaos and eigenrays

Abstract

In a realistic range-dependent deep ocean environment that gives rise to ray chaos, a complete set of eigenrays at long ranges is computed using a numerical technique based on the shooting method. The numerical results support and illustrate the known connection between ray chaos and eigenrays, namely, that the number of eigenrays grows exponentially, on average, with increasing range. It is further found that groups of chaotic eigenrays tend to form ''clusters'' having stable envelopes.

Three‐dimensional modeling of Mount Vesuvius with sequential integrated inversion

“…[28] In nonsmoothed models, the behavior of rays becomes chaotic and as a consequence geometrical spreading and the number of arrivals increase rapidly with travel time Abdullaev, 1993;Tappert and Tang, 1996;Witte et al, 1996;Keers et al, 1997]. Therefore it is necessary to prepare models which are (1) not far from the real one and (2) sufficiently smooth for ray tracing.…”

Underwater acoustic communication over Doppler spread channels

“…Most of the work reported suggests that the impact of ray chaos in a realistic ocean is only significant at ranges in excess of 100 km. Another characteristic of eigenrays (96], which is also true for the range independent case that we are using here, is that they arrive in clusters. We simplify the ray propagation even more by the way we treat eigenrays.…”

Recent Advances in Underwater Acoustic Modelling and Simulation

“…The extent of the region of the timefront in which strongly chaotic rays appear, and the strength of the rays' sensitivity to initial conditions, were found to depend on the average sound-speed pro"le, the source-to-receiver range, and the internal-wave spectral model. Tappert and Tang [83] found that groups of chaotic eigenrays tended to form clusters having stable envelopes. Sundaram and Zaslavsky [84] studied the dispersion of wave packets using a parabolic approximation to the wave equation; they noted that, in a manner similar to that observed in quantum chaos, enhanced dispersion due to chaotic ray dynamics was counterbalanced by wave coherence e!ects.…”