Abstract
A linear partial differential equation is obtained that describes the motion of a liquid surface when impinged upon by pulsed ultrasonic waves. The case of two pulsed plane ultrasonic waves incident upon the liquid surface over the same area at equal but opposite angles is treated. A particular solution of the equation is obtained and separated into a ripple displacement superimposed on a uniform displacement, both of which oscillate. Numerical values of frequencies of oscillation and displacements are obtained for various liquids. The theoretical analysis is compared with experimental results. In addition, the transfer function relating the liquid surface displacement to the acoustic radiation pressure, and the scattering coefficient, for the light reflected from the liquid surface as a function of surface displacement, are obtained.
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