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Introduction to Acoustics

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Underwater<br />

5. Underwater <strong>Acoustics</strong><br />

A<br />

It is well established that sound waves, compared<br />

<strong>to</strong> electromagnetic waves, propagate long<br />

distances in the ocean. Hence, in the ocean<br />

as opposed <strong>to</strong> air or a vacuum, one uses<br />

sound navigation and ranging (SONAR) instead<br />

of radar, acoustic communication instead of<br />

radio, and acoustic imaging and <strong>to</strong>mography<br />

instead of microwave or optical imaging or X-ray<br />

<strong>to</strong>mography. Underwater acoustics is the science<br />

of sound in water (most commonly in the ocean)<br />

and encompasses not only the study of sound<br />

propagation, but also the masking of sound signals<br />

by interfering phenomenon and signal processing<br />

for extracting these signals from interference. This<br />

chapter we will present the basics physics of ocean<br />

acoustics and then discuss applications.<br />

5.1 Ocean Acoustic Environment ................. 151<br />

5.1.1 Ocean Environment ................... 151<br />

5.1.2 Basic Acoustic Propagation Paths 152<br />

5.1.3 Geometric Spreading Loss........... 154<br />

5.2 Physical Mechanisms............................ 155<br />

5.2.1 Transducers .............................. 155<br />

5.2.2 Volume Attenuation .................. 157<br />

5.2.3 Bot<strong>to</strong>m Loss.............................. 158<br />

5.2.4 Scattering and Reverberation ..... 159<br />

5.2.5 Ambient Noise .......................... 160<br />

5.2.6 Bubbles and Bubbly Media......... 162<br />

5.3 SONAR and the SONAR Equation............. 165<br />

5.3.1 Detection Threshold and Receiver<br />

Operating Characteristics Curves .. 165<br />

During the two World Wars, both shallow and deepwater<br />

acoustics studies were pursued, but during the<br />

Cold War, emphasis shifted sharply <strong>to</strong> deep water.<br />

The post-World War II (WWII) his<strong>to</strong>ry of antisubmarine<br />

warfare (ASW) actually started in 1943 with<br />

Ewing and Worzel discovering the deep sound channel<br />

(DSC) caused by a minimum in the temperaturedependent<br />

sound speed. (Brekhovskikh of the Soviet<br />

Union also discovered it independently, but later.)<br />

5.3.2 Passive SONAR Equation ............. 166<br />

5.3.3 Active SONAR Equation ............... 167<br />

5.4 Sound Propagation Models................... 167<br />

5.4.1 The Wave Equation<br />

and Boundary Conditions........... 168<br />

5.4.2 Ray Theory ............................... 168<br />

5.4.3 Wavenumber Representation<br />

or Spectral Solution ................... 169<br />

5.4.4 Normal-Mode Model ................. 169<br />

5.4.5 Parabolic Equation (PE) Model .... 172<br />

5.4.6 Propagation<br />

and Transmission Loss ............... 174<br />

5.4.7 Fourier Synthesis of<br />

Frequency-Domain Solutions...... 175<br />

5.5 Quantitative Description of Propagation 177<br />

5.6 SONAR Array Processing ........................ 179<br />

5.6.1 Linear Plane-Wave<br />

Beam-Forming and<br />

Spatio-Temporal Sampling ......... 179<br />

5.6.2 Some Beam-Former Properties ... 181<br />

5.6.3 Adaptive Processing................... 182<br />

5.6.4 Matched Field Processing, Phase<br />

Conjugation and Time Reversal ... 182<br />

5.7 Active SONAR Processing ....................... 185<br />

5.7.1 Active SONAR Signal Processing.... 185<br />

5.7.2 Underwater Acoustic Imaging ..... 187<br />

5.7.3 Acoustic Telemetry..................... 191<br />

5.7.4 Travel-Time Tomography............ 192<br />

5.8 <strong>Acoustics</strong> and Marine Animals............... 195<br />

5.8.1 Fisheries <strong>Acoustics</strong>..................... 195<br />

5.8.2 Marine Mammal <strong>Acoustics</strong> .......... 198<br />

5.A Appendix: Units .................................. 201<br />

References .................................................. 201<br />

This minimum has been mapped (dotted line in<br />

Fig. 5.1), and typically varies from the cold surface<br />

at the poles <strong>to</strong> a depth of about 1300 m<br />

at the equa<strong>to</strong>r. Since sound refracts <strong>to</strong>ward lower<br />

sound speeds, the DSC produces a refraction-generated<br />

waveguide (gray lines) contained within the ocean,<br />

such that sound paths oscillate about the sound<br />

speed minimum and can propagate thousands of<br />

kilometers.<br />

149<br />

Part A 5

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