Accession Number:

ADA634794

Title:

Wave Chaos and Chaotic Transmission of Waves

Descriptive Note:

Corporate Author:

NEW YORK UNIV NY COURANT INST OF MATHEMATICAL SCIENCES

Personal Author(s):

Report Date:

1997-09-30

Pagination or Media Count:

3.0

Abstract:

LONG-TERM GOAL. We are planning to study the origin of wave-chaos, the connection between ray-chaos and wave-chaos, and the kinetics of the long-distance wave propagation depending on different properties of the ocean natural waveguide. Our particular interest will be the study of statistical properties of arrving waves, role of Levy flights, and detailed investigation of the so-called logarithmic breakdown time for validity of the short-wave approximation. SCIENTIFIC OBJECTIVES. 1. We strongly believe that a realistic wave kinetics in the natural waveguides cannot be understood without the acknowledgement of an effective phase space topology for the equivalent ray-propagation problem. The climate along the propagating channel is crucial for obtaining the equivalent phase space topology. 2. The occurrence of the stochastic jets ballistic trajectories depends on the equivalent phase space topology and can be used for the wave propagation diagnostics. The presence of stochastic jets is related to special coherent wave structures. The conditions for the jets occurrence and the jets characteristic properties will be formulated. 3. On the basis of the information about the coherent rays structures, we want to develop a theory of the wave effects for the situation with anomalous ray kinetics. We expect a strong increase in the localization length and diffusion length as a result of the presence of stochastic jets in the ray-dynamics approximation.

Subject Categories:

  • Physical and Dynamic Oceanography
  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE