lect_131 - Springer-Verlag, 2000.] Evanescent Regions Modal...

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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 13 Computational Ocean Acoustics • Ray Tracing • Wavenumber Integration • Normal Modes • Parabolic Equation
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 13 Normal Modes • Numerical Approaches – Finite Difference Methods (5.7.1) • Treatment of Interfaces – Layer Methods (5.7.2) – Shooting Methods (5.7.3) – Root Finders (5.7.4) • Perturbation Approaches – Attenuation (5.8) – Group Velocity (5.8.1)
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 13
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 13
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 13
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 13 Interface Conditions
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 13
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 13
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 13 [See Fig 5.15 in Jensen, Kuperman, Porter and Schmidt. Computational Ocean Acoustics. New York:
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Unformatted text preview: Springer-Verlag, 2000.] Evanescent Regions Modal Equation supports both growing and decaying evanescent components COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 13 Insert in Modal Equations and arrange by order COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 13 COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 13 COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 13 Normal Modes Perturbational Treatment of Attenuation 1 2 3 C Re(k r ) Im(k r ) Complex k r-plane C EJP C C + /c- /c Location of eigenvalues for the Pekeris problem using the EJP branch cut. [See Jensen, Fig 2.30] COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 13 COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 13 Pekeris Waveguide [See Jensen, Fig 2.28b] COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 13 Modal Phase Velocity 1 v n Ideal Waveguide [See Jensen, Fig 2.22]...
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lect_131 - Springer-Verlag, 2000.] Evanescent Regions Modal...

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