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

E K Skarsoulis1, B D Cornuelle, M A Dzieciuch

  • 1Institute of Applied and Computational Mathematics, Foundation for Research and Technology Hellas, P.O. Box 1385, 711 10 Heraklion, Crete, Greece.

Summary

This study explains why wave-theoretic finite-frequency VTSKs match ray-theoretic kernels at long ranges. Using a stationary-phase approach, we derive an asymptotic expression for VTSKs, confirming their convergence with ray theory and estimating the range for this behavior.

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