Sundaram Bala, Zaslavsky G. M.
Department of Mathematics, CSI-CUNY, Staten Island, New York 10314.
Chaos. 1999 Jun;9(2):483-492. doi: 10.1063/1.166421.
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.
在傍轴波近似下考虑声波介质中波包的色散，其中由于传播速度的变化，有效势随深度和传播距离而变化。对所得类似于薛定谔方程的抛物线方程的分析清楚地表明了射线混沌在增强初始波包色散方面的作用。然而，也观察到了波相干效应，其以类似于量子混沌效应的方式抑制了射线混沌的影响。（c）1999美国物理研究所。
