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absorption acoustic waves Akust amplitude angle anisotropy antenna approximation attenuation axis backscattering beam Black Sea bottom boundary bronchi calculated characteristics coefficient components coordinate corresponding crystal curve density dependence depth determined diffraction direction dispersion distance distribution duct effect elastic equation estimate experimental experiments formula frequency Fresnel zones function group velocity hydroacoustic inhomogeneities intensity interaction internal wave layer linear liquid longitudinal longitudinal wave maximum measurements medium method modes Moscow nodules noise nonlinear Nonlinear Acoustics obtained ocean Original Russian Text parameters phase Phys Physics piezoelectric plane plate problem pulse quency radiation range resonance Russia Received Russian Academy Russian Text Copyright sample scattering shear waves signal solution sound field sound velocity sound wave spatial spectra spectrum structure studies Sukharevskii surface temperature tion transverse transverse waves ultrasonic ultrasound underwater values variable vector wave number wave vector waveguide