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Ocean Acoustic Theory
• Acoustic Wave Equation
• Integral Transforms
• Helmholtz Equation
• Source in Unbounded and Bounded Media• Reflection and Transmission
• The Ideal Waveguide – Image Method
– Wavenumber Integral
– Normal Modes
• Pekeris Waveguide
1 COMPUTATIONAL OCEAN ACOUSTICS Lecture 3 13.853
COMPUTATIONAL OCEAN ACOUSTICS
U(t)
r a
Vibrating sphere in an infinite fluid medium.
2 Lecture 3 13.853
COMPUTATIONAL OCEAN ACOUSTICS
3 Lecture 313.853
COMPUTATIONAL OCEAN ACOUSTICS
5 Lecture 313.853
13.853
6 COMPUTATIONAL OCEAN ACOUSTICS Lecture 3
COMPUTATIONAL OCEAN ACOUSTICS
7 Lecture 313.853
COMPUTATIONAL OCEAN ACOUSTICS
Horizontally stratified environment
8 Lecture 313.853
COMPUTATIONAL OCEAN ACOUSTICS
9 Lecture 313.853
COMPUTATIONAL OCEAN ACOUSTICS
10 Lecture 313.853
COMPUTATIONAL OCEAN ACOUSTICS
11 Lecture 313.853
13.853
Mag
nit
ud
e
50 F = 150 Hz
40
30
20
Evanescent Radiating Waves
Waves 10
0 0.2 0.4 0.6 0.8 1.0
Horizontal wavenumber (m-1)
Magnitude of the depth-dependent Green’s function for point source in an
infinite medium. Solid curve: z – z = Ȝ/10; dashed curve: z – zs = 2 Ȝ.s
12 COMPUTATIONAL OCEAN ACOUSTICS Lecture 3
13COMPUTATIONAL OCEAN ACOUSTICS Lecture 313.853