Abstract
A method is proposed for calculating the time-reversed wave field generated by a point source in a waveguide by using signals received by a vertical antenna array. The procedure of time reversal is based on representing the wave field in the form of the decomposition into modes of the ideal waveguide. In contrast to the earlier proposed simplified numerical method of time reversal of waves, the method presented here allows one to obtain the reversed field for the entire thickness of the waveguide. The method is successfully applied to a shallow-water sea with a depth of 120 m, at distances of 7, 10.5, and 12 km. It is shown that an opportunity arises to increase the gain of the array; to determine the parameters of the medium, including its stability in the presence of currents; and to match the point of transmission of an arbitrary received signal and the point of transmission of the reversed signal.
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