Normal-mode theory of average reverberation intensity in shallow water |
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| Institution: | 1. School of Engineering, San Francisco State University, San Francisco, CA 94132, USA;2. Western Digital Corporation, 3355 Michelson Dr. #100, Irvine, CA 92612, USA;1. Acoustic Science and Technology Laboratory, Harbin Engineering University, Harbin 150001, China;2. College of Underwater Acoustic Engineering, Harbin Engineering University, Harbin 150001, China;3. Science and Technology on Underwater Test and Control Laboratory, Dalian Scientific Test & Control Technology Institute, Dalian 116013, China |
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| Abstract: | In this paper, the general expressions of long-range reverberation intensity in shallow water have been developed on the basis of the normal mode theory. Because the effects of the complex eigenvalues on the mode incident field have been considered, the results are more accurate than those in previous former normal mode theories of reverberation. In addition, for the sake of simplifying the calculations and making the results convenient to compare with experiments, the reverberation intensity has been smoothed by space averaging. The expressions obtained have obvious physical meaning and concise form so that they can be used for numerical calculation and analytical discussion. These expressions are suitable for wider types of velocity profile, bottom-reflection and scattering coefficients. As an example, the average reverberation intensity in shallow water with a thermocline is evaluated. The result shows that when both the source and receiver are located above the thermocline, the long-range reverberation intensity is proportional to r?5. This result is in agreement with the experimental data. |
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