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
|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.|
Layer Solutions and Interface Conditions. PS1 due. PS2 out.
Global Matrix Solution.
Propagator Matrix and Invariant Embedding Solution.
Numerical Evaluation of Wavenumber Integral. Aliasing and Wrap-around.
Numerical Methods Used in Wavenumber Integration. PS2 due. PS3 out.
Mathematical Derivation. Model Expansion of the Green's Function.
Isovelocity Problem. Generalized Derivation.
Munk Profile. Numerical Approaches. PS3 due. PS4 out.
Numerical Approaches (cont.).
Range-dependent Environment. Coupled Modes.
3-D Environment. PS4 due. PS5 out.
Derivation of Parabolic Equations.
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.
- Jensen, Kuperman, Porter, and Schmidt. Computational Ocean Acoustics.
- OASES Application and upgrade Notes.
- Class notes.