|Title||Long-range asymptotic behavior of vertical travel-time sensitivity kernels|
|Publication Type||Journal Article|
|Year of Publication||2013|
|Authors||Skarsoulis E.K, Cornuelle BD, Dzieciuch M.A|
|Journal||Journal of the Acoustical Society of America|
|Type of Article||Article|
|Keywords||ocean acoustic tomography; perturbations|
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.