| 1 |
Introduction |
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| 2 |
The Acoustic Wave Equation, Integral Transforms, The Helmholtz Equation |
PS1 Out |
| 3 |
Sources in Unbounded and Bounded Media, Green's Functions, Green's Theorem |
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| 4 |
Reflection and Transmission, Integral Transform Solution, Source in Half-spaces |
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| 5 |
Ideal Waveguides, The Pekeris Waveguide |
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| 6 |
Wavenumber Integration: Layer Solutions and Interface Conditions |
PS1 Due
PS2 Out |
| 7 |
Wavenumber Integration: Global Matrix Solution |
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| 8 |
Wavenumber Integration: Propagator Matrix and Invariant Embedding Solution |
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| 9 |
Wavenumber Integration: Numerical Evaluation of Wavenumber Integral, Aliasing and Wrap-around |
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| 10 |
Wavenumber Integration: Numerical Methods Used in Wavenumber Integration |
PS2 Due
PS3 Out |
| 11 |
Normal Modes: Mathematical Derivation, Model Expansion of the Green's Function |
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| 12 |
Normal Modes: Isovelocity Problem, Generalized Derivation |
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| 13 |
Normal Modes: Munk Profile, Numerical Approaches |
PS3 Due
PS4 Out |
| 14 |
Normal Modes: Numerical Approaches (contd.) |
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| 15 |
Normal Modes: Numerical Procedures |
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| 16 |
Normal Modes: Range-dependent Environment, Coupled Modes |
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| 17 |
Normal Modes: 3-D Environment |
PS4 Due
PS5 Out |
| 18 |
Parabolic Equation: Derivation of Parabolic Equations |
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| 19 |
Parabolic Equation: Starting Fields |
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| 20 |
Parabolic Equation: Energy Conservation Problem, Solutions by FDs FEs |
PS5 Due
PS6 Out |
| 21 |
Doppler Shift in Waveguide |
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| 22 |
Time Series Simulation, Signal and Noise |
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PS6 Due |