ocean acoustic theory - mit opencourseware · 2020. 12. 30. · ocean acoustic theory •...
TRANSCRIPT
![Page 1: Ocean Acoustic Theory - MIT OpenCourseWare · 2020. 12. 30. · Ocean Acoustic Theory • WciAoutcsave Eon iquat • m Toraanfless grrntI ... 50 F = 150 Hz 40 30 20 Evanescent Radiating](https://reader035.vdocuments.net/reader035/viewer/2022071513/6134f358dfd10f4dd73c0f0d/html5/thumbnails/1.jpg)
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
![Page 2: Ocean Acoustic Theory - MIT OpenCourseWare · 2020. 12. 30. · Ocean Acoustic Theory • WciAoutcsave Eon iquat • m Toraanfless grrntI ... 50 F = 150 Hz 40 30 20 Evanescent Radiating](https://reader035.vdocuments.net/reader035/viewer/2022071513/6134f358dfd10f4dd73c0f0d/html5/thumbnails/2.jpg)
COMPUTATIONAL OCEAN ACOUSTICS
U(t)
r a
Vibrating sphere in an infinite fluid medium.
2 Lecture 3 13.853
![Page 3: Ocean Acoustic Theory - MIT OpenCourseWare · 2020. 12. 30. · Ocean Acoustic Theory • WciAoutcsave Eon iquat • m Toraanfless grrntI ... 50 F = 150 Hz 40 30 20 Evanescent Radiating](https://reader035.vdocuments.net/reader035/viewer/2022071513/6134f358dfd10f4dd73c0f0d/html5/thumbnails/3.jpg)
COMPUTATIONAL OCEAN ACOUSTICS
3 Lecture 313.853
![Page 4: Ocean Acoustic Theory - MIT OpenCourseWare · 2020. 12. 30. · Ocean Acoustic Theory • WciAoutcsave Eon iquat • m Toraanfless grrntI ... 50 F = 150 Hz 40 30 20 Evanescent Radiating](https://reader035.vdocuments.net/reader035/viewer/2022071513/6134f358dfd10f4dd73c0f0d/html5/thumbnails/4.jpg)
![Page 5: Ocean Acoustic Theory - MIT OpenCourseWare · 2020. 12. 30. · Ocean Acoustic Theory • WciAoutcsave Eon iquat • m Toraanfless grrntI ... 50 F = 150 Hz 40 30 20 Evanescent Radiating](https://reader035.vdocuments.net/reader035/viewer/2022071513/6134f358dfd10f4dd73c0f0d/html5/thumbnails/5.jpg)
COMPUTATIONAL OCEAN ACOUSTICS
5 Lecture 313.853
![Page 6: Ocean Acoustic Theory - MIT OpenCourseWare · 2020. 12. 30. · Ocean Acoustic Theory • WciAoutcsave Eon iquat • m Toraanfless grrntI ... 50 F = 150 Hz 40 30 20 Evanescent Radiating](https://reader035.vdocuments.net/reader035/viewer/2022071513/6134f358dfd10f4dd73c0f0d/html5/thumbnails/6.jpg)
13.853
6 COMPUTATIONAL OCEAN ACOUSTICS Lecture 3
![Page 7: Ocean Acoustic Theory - MIT OpenCourseWare · 2020. 12. 30. · Ocean Acoustic Theory • WciAoutcsave Eon iquat • m Toraanfless grrntI ... 50 F = 150 Hz 40 30 20 Evanescent Radiating](https://reader035.vdocuments.net/reader035/viewer/2022071513/6134f358dfd10f4dd73c0f0d/html5/thumbnails/7.jpg)
COMPUTATIONAL OCEAN ACOUSTICS
7 Lecture 313.853
![Page 8: Ocean Acoustic Theory - MIT OpenCourseWare · 2020. 12. 30. · Ocean Acoustic Theory • WciAoutcsave Eon iquat • m Toraanfless grrntI ... 50 F = 150 Hz 40 30 20 Evanescent Radiating](https://reader035.vdocuments.net/reader035/viewer/2022071513/6134f358dfd10f4dd73c0f0d/html5/thumbnails/8.jpg)
COMPUTATIONAL OCEAN ACOUSTICS
Horizontally stratified environment
8 Lecture 313.853
![Page 9: Ocean Acoustic Theory - MIT OpenCourseWare · 2020. 12. 30. · Ocean Acoustic Theory • WciAoutcsave Eon iquat • m Toraanfless grrntI ... 50 F = 150 Hz 40 30 20 Evanescent Radiating](https://reader035.vdocuments.net/reader035/viewer/2022071513/6134f358dfd10f4dd73c0f0d/html5/thumbnails/9.jpg)
COMPUTATIONAL OCEAN ACOUSTICS
9 Lecture 313.853
![Page 10: Ocean Acoustic Theory - MIT OpenCourseWare · 2020. 12. 30. · Ocean Acoustic Theory • WciAoutcsave Eon iquat • m Toraanfless grrntI ... 50 F = 150 Hz 40 30 20 Evanescent Radiating](https://reader035.vdocuments.net/reader035/viewer/2022071513/6134f358dfd10f4dd73c0f0d/html5/thumbnails/10.jpg)
COMPUTATIONAL OCEAN ACOUSTICS
10 Lecture 313.853
![Page 11: Ocean Acoustic Theory - MIT OpenCourseWare · 2020. 12. 30. · Ocean Acoustic Theory • WciAoutcsave Eon iquat • m Toraanfless grrntI ... 50 F = 150 Hz 40 30 20 Evanescent Radiating](https://reader035.vdocuments.net/reader035/viewer/2022071513/6134f358dfd10f4dd73c0f0d/html5/thumbnails/11.jpg)
COMPUTATIONAL OCEAN ACOUSTICS
11 Lecture 313.853
![Page 12: Ocean Acoustic Theory - MIT OpenCourseWare · 2020. 12. 30. · Ocean Acoustic Theory • WciAoutcsave Eon iquat • m Toraanfless grrntI ... 50 F = 150 Hz 40 30 20 Evanescent Radiating](https://reader035.vdocuments.net/reader035/viewer/2022071513/6134f358dfd10f4dd73c0f0d/html5/thumbnails/12.jpg)
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
![Page 13: Ocean Acoustic Theory - MIT OpenCourseWare · 2020. 12. 30. · Ocean Acoustic Theory • WciAoutcsave Eon iquat • m Toraanfless grrntI ... 50 F = 150 Hz 40 30 20 Evanescent Radiating](https://reader035.vdocuments.net/reader035/viewer/2022071513/6134f358dfd10f4dd73c0f0d/html5/thumbnails/13.jpg)
13COMPUTATIONAL OCEAN ACOUSTICS Lecture 313.853