lect_17 - [See Jensen Fig. 6.2] COMPUTATIONAL OCEAN...

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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 17 Computational Ocean Acoustics • Ray Tracing • Wavenumber Integration • Normal Modes • Parabolic Equation
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 17 Parabolic Equation • Mathematical Derivation (6.2) – Phase Errors and Angular Limitations (6.2.4) • Starting Fields (6.4) – Modal starter – PE Self Starter – Analytical Starters •PE S o
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 17
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 17
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 17 = k rm Range-Independent Environment 2 ψ = - k rm 2 − 2 ik Φ)
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 17 PE Propagates Normal Modes Undistorted Horizontal Phase Error
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 17 k k 0 θ rm m [See Fig 6.1 in Jensen, Kuperman, Porter and Schmidt. Computational Ocean Acoustics. New York: Springer-Verlag, 2000.]
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COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 17 PE Workshop Case 3B
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Unformatted text preview: [See Jensen Fig. 6.2] COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 17 r r z COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 17 COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 17 Fourier Transform Vertical Wavenumber Propagator n (r,z) = 1 2 Parabolic Equation Spectral Domain PE COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 17 Vertical Wavenumber solution COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 17 COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 17 r COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 17 Spectral Properties of Sources Lloyd-Mirror Halfspace Problem Wavenumber Integration - FFP c = 1590 m/s = 1200 kg/m 3 2 2 [See Jensen, Fig. 6.4a Tappert PE 45 Gaussian Source [See Jensen, Fig. 6.4b COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 17 Spectral Properties of Sources Tappert PE Claerbout PE Thomson-Chapman PE Lloyd-Mirror Halfspace Problem Gaussian Source [See Jensen, Fig 6.5] Green Source Thomson Source...
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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_17 - [See Jensen Fig. 6.2] COMPUTATIONAL OCEAN...

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