lect_91 - Computational Ocean Acoustics 13.853 Ray Tracing...

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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 9 Computational Ocean Acoustics • Ray Tracing • Wavenumber Integration • Normal Modes • Parabolic Equation
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 9 Wavenumber Integration Range-independent – Integral Transform solution Exact depth-dependent solution – Global Matrix Approach – Propagator Matrix Approach – Invariant Embedding Numerical Integration – Fast-Field Program (FFP) – Fast Hankel Transform Numerical issues: – Numerical stability of depth solution – Aliasing and wrap-around
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 9 Horiztonally stratified environment z layer 1: upper halfspace r . . . layer 2 layer m layer m + 1 layer N: lower halfspace Interface 1 Interface 2 Interface m Interface N - 1
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 9
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 9 Outgoing waves only
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 9 •Slow evanescent decay if receiver depth close to source
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lect_91 - Computational Ocean Acoustics 13.853 Ray Tracing...

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