Long-range asymptotic behavior of vertical travel-time sensitivity kernels

TitleLong-range asymptotic behavior of vertical travel-time sensitivity kernels
Publication TypeJournal Article
Year of Publication2013
AuthorsSkarsoulis E.K, Cornuelle BD, Dzieciuch M.A
JournalJournal of the Acoustical Society of America
Volume134
Pagination3201-3210
Date Published2013/10
Type of ArticleArticle
ISBN Number0001-4966
Accession NumberWOS:000330119700070
Keywordsocean acoustic tomography; perturbations
Abstract

Vertical travel-time sensitivity kernels (VTSKs) describe the effect of horizontally uniform sound-speed changes on travel times in range-independent ocean environments. Wave-theoretic VTSKs can be obtained either analytically, through perturbation of the normal-mode representation, or numerically, as horizontal marginals of the corresponding two-dimensional and three-dimensional travel-time sensitivity kernels. In previous works, it has been observed that wave-theoretic finite-frequency VTSKs approach the corresponding ray-theoretic sensitivity kernels as the propagation range increases. The present work is an attempt to explain this behavior. A stationary-phase approach is used to obtain a long-range asymptotic expression for the wave-theoretic VTSKs. The resulting asymptotic VTSKs are very close to the corresponding ray-theoretic ones. The smoothness condition, required for the stationary-phase approximation to hold, is used to obtain an estimate for the range beyond which the asymptotic behavior sets in. (C) 2013 Acoustical Society of America.

DOI10.1121/1.4818785
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