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Computational Ocean Acoustics (13.853)

Graduate · Historical course

Spring 2003

Topics

  • Introduction
  • The Acoustic Wave Equation, Integral Transforms, The Helmholtz Equation
  • Sources in Unbounded and Bounded Media, Green’s Functions, Green’s Theorem
  • Reflection and Transmission, Integral Transform Solution, Source in Half-spaces
  • Ideal Waveguides, The Pekeris Waveguide
  • Wavenumber Integration: Layer Solutions and Interface Conditions
  • Wavenumber Integration: Global Matrix Solution
  • Wavenumber Integration: Propagator Matrix and Invariant Embedding Solution
  • Wavenumber Integration: Numerical Evaluation of Wavenumber Integral, Aliasing and Wrap-around
  • Wavenumber Integration: Numerical Methods Used in Wavenumber Integration
  • Normal Modes: Mathematical Derivation, Model Expansion of the Green’s Function
  • Normal Modes: Isovelocity Problem, Generalized Derivation
  • Normal Modes: Munk Profile, Numerical Approaches
  • Normal Modes: Numerical Approaches (contd.)
  • Normal Modes: Numerical Procedures
  • Normal Modes: Range-dependent Environment, Coupled Modes
  • Normal Modes: 3-D Environment
  • Parabolic Equation: Derivation of Parabolic Equations
  • Parabolic Equation: Starting Fields
  • Parabolic Equation: Energy Conservation Problem, Solutions by FDs FEs
  • Doppler Shift in Waveguide
  • Time Series Simulation, Signal and Noise

Readings

  • 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.
    Listed reading
Sources