Travel-time perturbations due to internal waves : equivalence of modal and ray solutions


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dc.contributor.author Traykovski, Peter A.
dc.date.accessioned 2008-10-29T14:08:53Z
dc.date.available 2008-10-29T14:08:53Z
dc.date.issued 1996-02
dc.identifier.citation Journal of the Acoustical Society of America 99 (1996): 822-830 en
dc.identifier.uri http://hdl.handle.net/1912/2559
dc.description 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. en
dc.description.abstract 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. en
dc.format.mimetype application/pdf
dc.language.iso en_US en
dc.publisher Acoustical Society of America en
dc.relation.uri http://dx.doi.org/10.1121/1.414563
dc.subject Internal waves en
dc.subject Oceanography en
dc.subject Sound waves en
dc.subject Travelling waves en
dc.subject Underwater en
dc.subject Wave propagation en
dc.subject Barents Sea en
dc.subject Ray trajectories en
dc.subject Shallow–water equations en
dc.subject Travel time en
dc.title Travel-time perturbations due to internal waves : equivalence of modal and ray solutions en
dc.type Article en
dc.identifier.doi 10.1121/1.414563

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