Abstract

In a recent theoretical paper, Jones and Kobett [J. Acoust. Soc. Am. 35, 5 (1963)] have shown that two monochromatic elastic waves in a nonlinear solid interact rather strongly if they intersect at a certain angle. When this condition of resonance is satisfied, the theory further predicts that a 3rd wave may be generated at the “point” of intersection. The generated wave will have a frequency (ω1±ω2) and wavevector (k̄1±k̄2), where the subscripts refer to properties of the two primary waves. An experimental study of interaction between pulsed ultrasonic beams has shown that the theoretically predicted 3rd wave can be detected with easily attainable primary wave intensities and frequencies in the 1- to 15-Mc/sec range. Both sum and difference frequencies have been generated in specimens of fused silica, polycrystalline aluminum, and polycrystalline magnesium. Experimental details are given and possible methods of measuring third-order elastic constants are discussed. [Work supported by the Aeronautical Systems Division, Wright-Patterson Air Force Base.]

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