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

Citation:
Skarsoulis, EK, Cornuelle BD, Dzieciuch MA.  2013.  Long-range asymptotic behavior of vertical travel-time sensitivity kernels. Journal of the Acoustical Society of America. 134:3201-3210.

Date Published:

2013/10

Keywords:

ocean 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.

Notes:

n/a

Website

DOI:

10.1121/1.4818785