In the 1990s, the study of the chaotic behavior of ray trajectories in inhomogeneous waveguides emerged as a new field in ocean acoustics. It turned out that at ranges on the order of or larger than 1000 km ray chaos is well developed and should be taken into account when describing long-range sound propagation in the ocean. The theoretical analysis of ray chaos and of its finite-wavelength manifestation, wave chaos, is to a large extent based on well-known methods and ideas from the theory of dynamical and quantum chaos. Concrete examples are used to review the results obtained in this field over the last two decades.

PACS: 05.45.−a, 43.30.Bp, 43.30.Cq, 43.30.Dr (all) DOI: 10.3367/UFNe.0182.201201b.0019 URL: https://ufn.ru/en/articles/2012/1/c/ 000303763300002 2-s2.0-84860247076 2012PhyU...55...18V Citation: Virovlyansky A L, Makarov D V, Prants S V "Ray and wave chaos in underwater acoustic waveguides" Phys. Usp. 55 18–46 (2012) BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks Received: 15th, March 2011, revised: 29th, April 2011, accepted: 29th, April 2011 Оригинал: Вировлянский А Л, Макаров Д В, Пранц С В «Лучевой и волновой хаос в подводных акустических волноводах» УФН 182 19–48 (2012); DOI: 10.3367/UFNr.0182.201201b.0019