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Stimulated material vibration by inhomogeneous plane waves and its application for bounded ultrasonic beams

Instead of an ordinary approach by means of homogeneous waves, more general complex harmonic waves may be used to examine medium vibration properties. It occurs that not homogeneous wave but rather only particular inhomogeneous plane waves can stimulate eigenvibrations of a given structure. The reflection and transmission of such inhomogeneous waves is investigated for plane parallel interfaces as well as their scattering at periodically corrugated boundaries between liquid and solids. Using an original description of a bounded ultrasonic beam as a finite superposition of inhomogeneous waves, this theory can be applied to examine the deformation of gaussian profiles and to explicitly relate this deformation to the stimulation of mode vibrations