Lecture Notes

1 Fundamentals of Ocean Acoustics  
2 The Acoustic Wave Equation, Integral Transforms, The Helmholtz Equation (PDF)
3 Sources in Unbounded and Bounded Media, Green's Functions, Green's Theorem (PDF)
4 Reflection and Transmission, Integral Transform Solution, Source in Half-spaces (PDF)
5 Ideal Waveguides, The Pekeris Waveguide (PDF)
6 Wavenumber Integration: Layer Solutions and Interface Conditions (PDF)
7 Wavenumber Integration: Global Matrix Solution (PDF)
8 Wavenumber Integration: Propagator Matrix and Invariant Embedding Solution (PDF)
9 Wavenumber Integration: Numerical Evaluation of Wavenumber Integral, Aliasing and Wrap-around (PDF)
10 Wavenumber Integration: Numerical Methods Used in Wavenumber Integration (PDF - 1.7 MB)
11 Normal Modes: Mathematical Derivation, Model Expansion of the Green's Function (PDF)
12 Normal Modes: Isovelocity Problem, Generalized Derivation (PDF)
13 Normal Modes: Munk Profile, Numerical Approaches (PDF)
14 Normal Modes: Numerical Approaches (contd.) (PDF)
15 Normal Modes: Numerical Procedures (PDF - 1.5 MB)
16 Normal Modes: Range-dependent Environment, Coupled Modes (PDF)
17 Normal Modes: 3-D Environment (PDF)
18 Parabolic Equation: Derivation of Parabolic Equations (PDF)
19 Parabolic Equation: Starting Fields
(Make Up Class)
20 Parabolic Equation: Energy Conservation Problem, Solutions by FDs FEs (PDF - 1.5 MB)
21 Doppler Shift in Waveguide
Reading: Kuperman and Schmidt "Spectral and modal representations of the Doppler-shifted field in ocean waveguides." The Journal of the Acoustical Society of America 96, no.1 (July 1994): 386-395.
22 Time Series Simulation, Signal and Noise (PDF)