Zaslavsky G. M., Abdullaev S. S.
Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, New York 10012Department of Physics, New York University, 2-4 Washington Place, New York, New York 10003.
Chaos. 1997 Mar;7(1):182-186. doi: 10.1063/1.166233.
Ray dynamics in waveguide media exhibits chaotic motion. For a finite length of propagation, the large distance asymptotics is not uniform and represents a complicated combination of bunches of rays with different intermediate asymptotics. The origin of the phenomena that we call "chaotic transmission," lies in the nonuniformity of the phase space with sticky domains near the boundary of islands. We demonstrate different fractal properties of ray propagation using underwater acoustics as an example. The phenomenon of the kind of Levy flights can occur and it can be used as a mechanism of cooling of signals when the width of spatial spectra dispersion is significantly reduced. (c) 1997 American Institute of Physics.
波导介质中的射线动力学呈现出混沌运动。对于有限长度的传播，大距离渐近性并不均匀，而是不同中间渐近性的射线束的复杂组合。我们所称的“混沌传输”现象的根源在于相空间的不均匀性，在岛的边界附近存在粘性区域。我们以水下声学为例展示射线传播的不同分形特性。可以出现类似列维飞行的现象，并且当空间谱色散宽度显著减小时，它可被用作信号冷却的一种机制。（c）1997美国物理研究所。
