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The possibility of measuring the frequency-angular spectra of the mode components of a random field of small-amplitude pycnoclinic internal waves by the lidar method is theoretically studied. Equations are obtained for retrieving the spectra of internal waves from the measured spectra of relative fluctuations in the lidar echo signal power, if the profiles of the Väisälä frequency and light attenuation coefficient are known. The procedure for retrieving the spectra of a two-mode field is illustrated by a numerical experiment using real hydrological and hydro-optical data obtained in a region of the Barents Sea.

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