Abstract

Numerical evaluation of the characteristic functions of a circular plate vibrating simultaneously in two rationally related modes is presented in the form of computer-generated photographs that are essentially indistinguishable from an actual time-average holographic image. These computed images are obtained by displaying the numerical results on an x, y oscilloscope with z-axis radiance modulation representing fringe irradiance. The effect of changing the relative phases of two rationally related modes is illustrated. Ten computed images are shown; these include fundamental, first higher-order mode (one nodal diameter), irrationally related mode combinations, and rationally related mode combinations with zero through 90° relative phase relations. The computed images are compared with experimentally obtained patterns; good agreement is obtained.

© 1971 Optical Society of America

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Equations (17)

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