Abstract
The amplitude–phase structure and interferograms of the sound pressure and effective phase and group velocities in acoustically bright zones and deep ocean shadow zone are investigated. Analysis of the angular structure of interferograms on the frequency–range plane made it possible to establish that the effective phase and group velocities are functionally and analytically related to the Chuprov interference invariant and have an identical frequency-spatial structure, which makes it possible to calculate the invariant range dependences of this invariant and effective velocities, as well as to perform high-precision direction finding and estimate the ranges to sources located in the shadow zone. It is shown that the range dependences of the interference invariant and effective velocities are determined by the type of dominant normal waves and change significantly when passing from the near field to the shadow zone and to the far acoustically bright zone. In the shadow zone, the effective phase and group velocities differ markedly from the average sound speed in water, while in zones with dominant water modes, they are nearly equal to the average sound speed in water. It is shown that in a waveguide with a known depth when vertically distributed arrays are used, the values of the interference invariant and effective velocities can be calculated using the measured angle of arrival of the signal reflected from the bottom. This makes it possible to calculate the range of the source and obtain unbiased bearing estimates, which are independent of the source and receiver depths.
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Funding
This study was supported by the program “Shallow Water Acoustics, Nonlinear Acoustic Diagnostics, Nonlinear Wave Dynamics” (state registration no. AAAA-A18-118021390174-1), the Russian Foundation for Basic Research (project no. 19-08-00941), and the Ministry of Science and Higher Education of the Russian Federation under a state task (project no. 0852-2020-0015).
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Aksenov, S.P., Kuznetsov, G.N. Estimating the Range to the Source in the Deep Sea Using the Spatial Frequency Responses of the Interference Invariant and Effective Phase and Group Velocities. Acoust. Phys. 67, 597–609 (2021). https://doi.org/10.1134/S1063771021060014
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DOI: https://doi.org/10.1134/S1063771021060014