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Synthesis of dispersed surface waves by means of Fourier transform

LAMONT GEOLOGICAL OBSERVATORY, COLUMBIA UNIVERSITY,, PALISADES, NEW YORK

Abstract

Flexual disturbances propagated upon a thin aluminum plate were studied experimentally. The thickness of the plate is 1.0 mm., and the distances between the source and the observation points are r = 0, 3.0, 5.0, 7.0, 15.0, and 20.0 cm.

Using the method of Fourier transform, the dispersion curve was obtained. It agrees well with the theory, and the thickness of the plate was estimated with good accuracy (0.981 mm.).

Disturbances at the distances 7.0, 3.0, and 0 cm. were numerically reproduced by means of Fourier synthesis from the data obtained at r = 15 cm. and 20 cm., and were compared with the observed disturbances. The agreement of the two kinds of curves are fairly good, with a little larger discrepancy for the case r = 0 than for the others.

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