Wave analysis of ray chaos in underwater acoustics.
The dispersion of a wave packet in an acoustic medium is considered in the paraxial wave approximation, where the effective potential, due to variation of the speed of propagation, varies both with depth and propagation distance. The analysis of the resulting parabolic equation, similar to the Schrodinger equation, clearly demonstrates the role of ray chaos in enhancing the dispersion of the initial packet. However, wave coherence effects are also seen that suppress the effects of the ray chaos in a manner analogous to the effects of quantum chaos. (c) 1999 American Institute of Physics.
Sundaram
Bala
B
Department of Mathematics, CSI-CUNY, Staten Island, New York 10314.
Zaslavsky
G. M.
GM