1 
Introduction 

2 
The Acoustic Wave Equation, Integral Transforms, The Helmholtz Equation 
PS1 Out 
3 
Sources in Unbounded and Bounded Media, Green's Functions, Green's Theorem 

4 
Reflection and Transmission, Integral Transform Solution, Source in Halfspaces 

5 
Ideal Waveguides, The Pekeris Waveguide 

6 
Wavenumber Integration: Layer Solutions and Interface Conditions 
PS1 Due
PS2 Out 
7 
Wavenumber Integration: Global Matrix Solution 

8 
Wavenumber Integration: Propagator Matrix and Invariant Embedding Solution 

9 
Wavenumber Integration: Numerical Evaluation of Wavenumber Integral, Aliasing and Wraparound 

10 
Wavenumber Integration: Numerical Methods Used in Wavenumber Integration 
PS2 Due
PS3 Out 
11 
Normal Modes: Mathematical Derivation, Model Expansion of the Green's Function 

12 
Normal Modes: Isovelocity Problem, Generalized Derivation 

13 
Normal Modes: Munk Profile, Numerical Approaches 
PS3 Due
PS4 Out 
14 
Normal Modes: Numerical Approaches (contd.) 

15 
Normal Modes: Numerical Procedures 

16 
Normal Modes: Rangedependent Environment, Coupled Modes 

17 
Normal Modes: 3D Environment 
PS4 Due
PS5 Out 
18 
Parabolic Equation: Derivation of Parabolic Equations 

19 
Parabolic Equation: Starting Fields 

20 
Parabolic Equation: Energy Conservation Problem, Solutions by FDs FEs 
PS5 Due
PS6 Out 
21 
Doppler Shift in Waveguide 

22 
Time Series Simulation, Signal and Noise 



PS6 Due 