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.


Jensen, Kuperman, Porter, and Schmidt. Computational Ocean Acoustics. Springer, 2000.

Course Outline

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