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absorption coefficient acoustic impedance adiabatic amplitude angle approximately assume attenuation axis Bazulin beam calculated characteristic impedance condensation considered constant corresponding cosh crystal curve denote density depends determined direction distance effect eikonal equation electric energy equal equation equilibrium experimental expression filter finite fluid force formula function gases given gradient heat conduction helium high frequencies impedance increases infrasound intensity Kneser layer liquid longitudinal waves Lord Rayleigh measurements medium method microbaroms molecules motion observed obtained oscillator paper particle phase Phys physical piezo-electric plane wave plate positive problem propagation quantity quartz radiation pressure range ratio Rayleigh relation resonator reverberation scattering shadow zone solution sound velocity sound waves specific heat superfluid surface temperature theoretical thermal thermocline tion transducer transmission tube velocity of sound vibration viscosity volume wave fronts wavelength zero