Ray Chaos in Underwater Acoustics and its Application

In this note we revisit the channelling effect of deep ocean acoustic wave propagation. To model propagation phenomena ray theory is used, where particular attention is payed to ray chaos. The effect of transitions between two archetypal sound speed versus depth profiles (Munk and double duct profiles) is studied. To do this the novel concept of launching basin is introduced. Its use in identifying the launching parameters of rays which remain stable is indicated, something which is highly desirable for understanding sonar system performance.

[1]  G. Zaslavsky,et al.  Ray chaos, travel time modulation, and sensitivity to the initial conditions , 2005 .

[2]  F. Beron-Vera,et al.  Travel time stability in weakly range-dependent sound channels , 2003, nlin/0307002.

[3]  A. Virovlyansky Ray travel times at long ranges in acoustic waveguides. , 2003, The Journal of the Acoustical Society of America.

[4]  Steven Tomsovic,et al.  Ray dynamics in long-range deep ocean sound propagation. , 2003, The Journal of the Acoustical Society of America.

[5]  G. Zaslavsky,et al.  Theory and applications of ray chaos to underwater acoustics. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  G. Zaslavsky,et al.  Self-similarity, renormalization, and phase space nonuniformity of Hamiltonian chaotic dynamics. , 1997, Chaos.

[7]  Kevin B. Smith,et al.  Ray chaos in underwater acoustics , 1992 .

[8]  B. Cornuelle,et al.  Ocean acoustic tomography , 1988, Signal Recovery and Synthesis.

[9]  Frederick D. Tappert,et al.  Classical chaos in nonseparable wave propagation problems , 1988 .

[10]  P. Holmes,et al.  Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields , 1983, Applied Mathematical Sciences.

[11]  M. Hénon,et al.  On the numerical computation of Poincaré maps , 1982 .

[12]  Walter Munk,et al.  Sound channel in an exponentially stratified ocean, with application to SOFAR , 1974 .

[13]  Marian Wiercigroch,et al.  Nonlinear behavior of acoustic rays in underwater sound channels , 1998 .

[14]  W. Munk,et al.  Ocean Acoustic Tomograpthy: Notation , 1995 .

[15]  Fred D. Tappert,et al.  The parabolic approximation method , 1977 .