Travel-time perturbations due to internal waves : equivalence of modal and ray solutions
Traykovski, Peter A.
MetadataShow full item record
KeywordInternal waves; Oceanography; Sound waves; Travelling waves; Underwater; Wave propagation; Barents Sea; Ray trajectories; Shallow–water equations; Travel time
In a recent paper, Lynch et al. used modal and ray based perturbation techniques to compare predicted variances of acoustic travel times due to internal waves to measured variances in the Barents Sea Polar Front experiment [Lynch et al., J. Acoust. Soc. Am. 99, 803–821 (1996)]. One of the interesting results of this work is that the modal and ray travel-time variances are substantially different for rays and modes with the same grazing angle. Specifically, the maximum modal travel-time variance shows a resonant effect in which the variance increases with increasing frequency. Unlike the modal solution, the ray travel-time variance has a geometrically constrained maximum, independent of frequency. In this paper, the linear first-order solutions for the ray and modal variances due to the internal waves are reviewed, and in an Appendix the effects of the linearizing assumptions are examined. The ray and mode solutions are then shown to be consistent by considering a truncated sum of modes that constructively interfere along a geometric ray path. By defining the travel-time perturbation due to a truncated sum of modes, the travel-time variance of the modal sum is derived. With increasing frequency the maximum value of this variance converges to a frequency-independent result with a similar magnitude to the ray maximum variance.
Author Posting. © Acoustical Society of America, 1996. This article is posted here by permission of Acoustical Society of America for personal use, not for redistribution. The definitive version was published in Journal of the Acoustical Society of America 99 (1996): 822-830, doi:10.1121/1.414563.
Suggested CitationArticle: Traykovski, Peter A., "Travel-time perturbations due to internal waves : equivalence of modal and ray solutions", Journal of the Acoustical Society of America 99 (1996): 822-830, DOI:10.1121/1.414563, https://hdl.handle.net/1912/2559
Showing items related by title, author, creator and subject.
Characteristic weather phenomena of California : a regional analysis based on aeronautical weather observations Byers, Horace R. (Massachusetts Institute of Technology, 1931)During the fiscal year beginning July 1, 1928, the Daniel Guggenheim Fund for the Promotion of Aeronautics maintained an experimental meteorological service for the benefit of air transportation between San Francisco and ...
Hutcheson, Walter; Hoagland, Porter; Jin, Di (2018-03)The Hudson River and its estuary is once again an ecologically, economically, and culturally functional component of New York City’s natural environment. The estuary's cultural significance may derive largely from environmental ...
Kelley, Thomas N. (1937-06-01)Thomas Kelley's personal log as first mate on the research vessel Atlantis. The logbook contains descriptions of people, events and activities aboard the Atlantis during cruises 66 through 83, from June 1, 1937 - April 21, 1939.