Abstract:

Classical rays are useful for both solving problems and visualizing solutions. Exact rays [T. L. Foreman, J. Acoust. Soc. Am. 86, 234--246 (1989)] are useful for visualizing solutions that have been obtained with other techniques. When chaos arises [Smith et al., J. Acoust. Soc. Am. 92, 1939--1949 (1992)], classical rays are of limited use. Exact rays should be useful even when classical rays are chaotic. This topic is investigated using parabolic equation techniques to generate solutions to problems that exhibit ray chaos. [Work supported by ONR.]