Focusing of acoustic fields in a randomly inhomogeneous waveguide by using the time reversal method |
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Authors: | A L Virovlyansky A Yu Kazarova L Ya Lyubavin |
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Institution: | 1.Institute of Applied Physics of the Russian Academy of Sciences,Nizhny Novgorod,Russia |
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Abstract: | We perform theoretical analysis of the method of field focusing in a randomly inhomogeneous waveguide using reradiation of
the received signal with time reversal. The simplest case where point sources and receivers are used for emission and reception
is considered. As an example, the waveguide is chosen which simulates an underwater sound channel with refractive-index fluctuations
caused by random internal waves. In underwater acoustics, the considered method of field focusing is usually applied at relatively
short distances that are shorter than or about 10 km. This work deals with much longer paths, along which sound waves propagate
under conditions of well-developed ray and wave chaos. Main attention is given to studying the width of the focal spot and
the field amplitude at its center. It is shown that the amplitude distribution in the vertical section of the focal spot and
the peak amplitude value at its center can be estimated analytically using the stochastic ray theory. |
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