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)

Problem Set 1 (PDF)

Problem Set 2 (PDF)

Problem Set 3 (PDF)

Problem Set 4 (PDF)

Problem Set 5 (PDF)

Problem Set 6 (PDF)