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Travel-time sensitivity kernels in long-range propagation.

E K Skarsoulis1, B D Cornuelle, M A Dzieciuch

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

The Journal of the Acoustical Society of America
|November 10, 2009
PubMed
Summary
This summary is machine-generated.

Wave-theoretic travel-time sensitivity kernels (TSKs) were studied in 2D and 3D environments. Wave-theoretic TSKs expand horizontally with range, approaching ray-theoretic kernels at longer distances.

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Area of Science:

  • Ocean acoustics
  • Seismic wave propagation

Background:

  • Travel-time sensitivity kernels (TSKs) are crucial for understanding wave propagation.
  • Comparing wave-theoretic and ray-theoretic approaches provides insights into acoustic modeling.

Purpose of the Study:

  • To calculate and analyze wave-theoretic TSKs in 2D and 3D environments.
  • To compare wave-theoretic TSKs with ray-theoretic TSKs and Fresnel zones.
  • To investigate the behavior of vertical travel-time sensitivity kernels (VTSKs).

Main Methods:

  • Calculation of wave-theoretic TSKs in 2D and 3D.
  • Comparison with ray-theoretic TSKs and Fresnel volumes.
  • Analytical and numerical calculation of VTSKs.
  • Application of the parabolic approximation.

Main Results:

  • 2D and 3D TSKs show similar behavior in marginals, indicating limited importance for large-scale perturbations.
  • Wave-theoretic TSKs expand horizontally with range, comparable to Fresnel zones.
  • Analytical and numerical VTSKs show good agreement.
  • Parabolic approximation results align well with normal-mode calculations.

Conclusions:

  • Wave-theoretic TSKs provide a more complete picture of sensitivity compared to ray theory, especially at shorter ranges.
  • The horizontal extent of TSKs is a key factor in their behavior with propagation range.
  • VTSKs derived from TSKs offer a reliable method for analyzing sound-speed variations.