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Fourier Spectrum of a Chopped Bivariate Normal Intensity Distribution

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Abstract

Theoretical and experimental results are presented for chopping or mechanically modulating a bivarate normal intensity distribution. This distribution is a useful approximation in many optical situations. The present analysis is an extension of that due to McQuistan and Julich. The chopped intensity distribution is expanded in a Fourier series with the coefficients calculated numerically by computer. Coefficients are determined for various beam to chopper width ratios and for several levels of approximation to the intensity distribution. Experimental verification is provided by spectral analysis of the detected signal from a chopped laser beam.

© 1970 Optical Society of America

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