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- Michael G Brown, John A Colosi, Steven Tomsovic, Anatoly L Virovlyansky, Michael A Wolfson, George M Zaslavsky
- The Journal of the Acoustical Society of America
- 2003

Recent results relating to ray dynamics in ocean acoustics are reviewed. Attention is focused on long-range propagation in deep ocean environments. For this class of problems, the ray equations may be simplified by making use of a one-way formulation in which the range variable appears as the independent (timelike) variable. Topics discussed include… (More)

- Francisco J Beron-Vera, Michael G Brown, +4 authors George M Zaslavsky
- The Journal of the Acoustical Society of America
- 2003

A ray-based wave-field description is employed in the interpretation of broadband basin-scale acoustic propagation measurements obtained during the Acoustic Thermometry of Ocean Climate program's 1994 Acoustic Engineering Test. Acoustic observables of interest are wavefront time spread, probability density function (PDF) of intensity, vertical extension of… (More)

- N R Cerruti, A Lakshminarayan, J H Lefebvre, S Tomsovic
- Physical review. E, Statistical, nonlinear, and…
- 2001

In a previous paper [Phys. Rev. Lett. 77, 4158 (1996)], a new correlation measure was introduced that sensitively probes phase space localization properties of eigenstates. It is based on a system's response to varying an external parameter. The measure correlates level velocities with overlap intensities between the eigenstates and some localized state of… (More)

- Nicholas R Cerruti, Steven Tomsovic
- Physical review letters
- 2002

The sensitivity of a wave field's evolution to small perturbations is of fundamental interest. For chaotic systems, there are two distinct regimes of either exponential or Gaussian overlap decay in time. We develop a semiclassical approach for understanding both regimes and give a simple expression for the crossover time between the regimes. The wave… (More)

- M A Wolfson, S Tomsovic
- The Journal of the Acoustical Society of America
- 2001

Several acoustic experiments show a surprising degree of stability in wave fronts propagating over multi-megameter ranges through the ocean's sound channel despite the presence of random-like, sound-speed fluctuations. Previous works have pointed out the existence of chaos in simplified ray models incorporating structure inspired by the true ocean… (More)

- Matthias Michler, Arnd Bäcker, Roland Ketzmerick, Hans-Jürgen Stöckmann, Steven Tomsovic
- Physical review letters
- 2012

Generic 2D Hamiltonian systems possess partial barriers in their chaotic phase space that restrict classical transport. Quantum mechanically, the transport is suppressed if Planck's constant h is large compared to the classical flux, h>>Φ, such that wave packets and states are localized. In contrast, classical transport is mimicked for h<<Φ. Designing a… (More)

Recent results relating to ray dynamics in ocean acoustics are reviewed. Attention is focussed on long-range propagation in deep ocean environments. For this class of problems, the ray equations may be simplified by making use of a one-way formulation in which the range variable appears as the independent (time-like) variable. Topics discussed include… (More)

In quantum/wave systems with chaotic classical analogs, wavefunctions evolve in highly complex, yet deterministic ways. A slight perturbation of the system, though, will cause the evolution to diverge from its original behavior increasingly with time. This divergence can be measured by the fidelity, which is defined as the squared overlap of the two time… (More)

- Steven Tomsovic, Arul Lakshminarayan
- Physical review. E, Statistical, nonlinear, and…
- 2007

Some statistical properties of finite-time stability exponents in the standard map can be estimated analytically. The mean exponent averaged over the entire phase space behaves quite differently from all the other cumulants. Whereas the mean carries information about the strength of the interaction and only indirect information about dynamical correlations,… (More)

- Steven Tomsovic
- Philosophical transactions. Series A…
- 2016

Using semiclassical methods, it is possible to construct very accurate approximations in the short-wavelength limit of quantum dynamics that rely exclusively on classical dynamical input. For systems whose classical realization is strongly chaotic, there is an exceedingly short logarithmic Ehrenfest time scale, beyond which the quantum and classical… (More)