Lect_101 - Computational Ocean Acoustics 13.853 Ray Tracing Wavenumber Integration Normal Modes Parabolic Equation COMPUTATIONAL OCEAN ACOUSTICS

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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 10 Computational Ocean Acoustics • Ray Tracing • Wavenumber Integration • Normal Modes • Parabolic Equation
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 10 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 Numerical Examples
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 10 k r k m * k max -k m * C 1 C 2 C 3 k min Poles Branch cut for k z = k m 2 -k r 2
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 10 k r k m * k max -k m * C 1 C 2 C 3 k min Poles Branch cut for k z = k m 2 -k r 2
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 10 Lecture 9 See Fig 4.7 in Jensen, Kuperman, Porter and Schmidt. Computational Ocean Acoustics. New York: Springer-Verlag, 2000. Example: Pekeris waveguide with pressure-release surface and penetrable fluid bottom
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 10
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 10
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 10
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 10 k r k m * k max - k m * C 1 C 2 C 3 k min Poles Branch cut for k z = k m 2 -k r 2
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 10
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 10
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 10
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 10 Adaptive Integration k 1 k 2 (b) (a) k 1 k 2
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 10 Numerical Examples Pekeris Waveguide with Elastic Bottom
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 10 Shallow WaterWaveguide with Fast Shear Bottom [See Jensen, Fig 4.9] C = 600 m/s s
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 10 Stratified Elastic Bottom Scholte wave – Fast Sand Seabed C = 600 m/s s
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This note was uploaded on 02/24/2012 for the course MECHANICAL 2.068 taught by Professor Henrikschmidt during the Spring '03 term at MIT.

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Lect_101 - Computational Ocean Acoustics 13.853 Ray Tracing Wavenumber Integration Normal Modes Parabolic Equation COMPUTATIONAL OCEAN ACOUSTICS

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