This course was originally offered in Course 13 (Department of Ocean Engineering) as 13.853. In 2005, ocean engineering subjects became part of Course 2 (Department of Mechanical Engineering), and this course was renumbered 2.068.
Course Meeting Times
Lectures: Two sessions / week, 1.5 hours / session
Textbook
Jensen, Finn B., William A. Kuperman, Michael B. Porter, and Henrik Schmidt. Computational Ocean Acoustics. College Park, Maryland: American Institute of Physics, 1994. ISBN: 1563962098.
| Lec # | TOPIC |
|---|---|
| 1 | Introduction |
| 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. |
| 4 | Reflection and Transmission. Integral Transform Solution. Source in Half-spaces. |
| 5 | Ideal Waveguides. The Pekeris Waveguide. |
| 6 |
Wavenumber Integration
Layer Solutions and Interface Conditions. PS1 due. PS2 out. |
| 7 |
Wavenumber Integration
Global Matrix Solution. |
| 8 |
Wavenumber Integration
Propagator Matrix and Invariant Embedding Solution. |
| 9 |
Wavenumber Integration
Numerical Evaluation of Wavenumber Integral. Aliasing and Wrap-around. |
| 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. |
| 12 |
Normal Modes
Isovelocity Problem. Generalized Derivation. |
| 13 |
Normal Modes
Munk Profile. Numerical Approaches. PS3 due. PS4 out. |
| 14 |
Normal Modes
Numerical Approaches (cont.). |
| 15 |
Normal Modes
Numerical Procedures. |
| 16 |
Normal Modes
Range-dependent Environment. Coupled Modes. |
| 17 |
Normal Modes
3-D Environment. PS4 due. PS5 out. |
| 18 |
Parabolic Equation
Derivation of Parabolic Equations. |
| 19 |
Parabolic Equation
Starting Fields. |
| 20 |
Parabolic Equation
Energy Conservation Problem. Solutions by FDs FEs. PS5 due. PS6 out. |
| 21 | Doppler Shift in Waveguide. |
| 22 | Time Series Simulation. Signal and Noise. |
| No Lec.: PS6 due. |
Assignments and Quizzes
- Homework assignments every 1-2 weeks, involving solution of theoritical problems, development of propagation codes in MATLAB?, and physical interpretation of numerical results. (60% of grade)
- One take-home exam to be scheduled late November. (40% of grade)
- No final.
Written Material
- Jensen, Kuperman, Porter, and Schmidt. Computational Ocean Acoustics.
- OASES Application and upgrade Notes.
- Class notes.
