Computational Ocean Acoustics (13.853)

Lecture Notes

LEC #	TOPICS	FILES
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)	(PDF)
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.	(PDF)
22	Time Series Simulation, Signal and Noise	(PDF)