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

Time-Average Holographic Interferometry of a Circular Plate Vibrating Simultaneously in Two Rationally Related Modes*

Alan D. Wilson and Douglas H. Strope
J. Opt. Soc. Am. 60(9) 1162-1165 (1970)

Projected Interference Fringes in Holographic Interferometry

Stephen H. Rowe
J. Opt. Soc. Am. 61(12) 1599-1603 (1971)

Characteristic Functions for Time-Average Holography

Alan D. Wilson
J. Opt. Soc. Am. 60(8) 1068-1071 (1970)

Hologram Interferometry of Nonsinusoidal Vibrations Analyzed by Density Functions

Karl A. Stetson
J. Opt. Soc. Am. 61(10) 1359-1362 (1971)

Wavelength Tolerances in Frozen-Fringe Holography

Gordon L. Rogers
J. Opt. Soc. Am. 61(6) 784-788 (1971)