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Characteristic Functions for Time-Average Holography

1970; Optica Publishing Group; Volume: 60; Issue: 8 Linguagem: Inglês

10.1364/josa.60.001068

2375-1037

Alan D. Wilson,

Advanced Optical Imaging Technologies

This paper presents an analysis of the fringes obtained by time-average holographic interferometry of a generalized time-dependent optical phase function. The generalized optical phase function considered is the sum of a series of sinusoidal functions of time having arbitrary amplitudes, frequencies, and relative phases. Characteristic functions are determined for various optical phase functions of interest in time-average holography. In general, the characteristic functions are sums of products of Bessel functions (zero order and higher orders) and exponential phase factors. Rationally and irrationally related frequencies are included in this analysis. An example of vibrating string is considered, to illustrate the application of the results of this paper to objects vibrating at a multitude of frequencies.