Jpn. J. Appl. Phys. 12 (1973) pp. 694-705  |Next Article|  |Table of Contents|
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Spatial Correlation of Gaussian Beam in Moving Ground Glass

Ken-ichi Nagata and Tamotu Umebara

(Received July 3, 1972)

The spatial variation of the light field from a random object is treated for a case with a gaussian and diverging beam illumination. It is shown that, in the reciprocal space, the variation on the object can be clearly described by the convolution integral of the Fourier transforms of its transmission function and the illumination function, and is transmitted through a linear system specified by a frequency response function (the Fourier transform of the Fresnel wave-function). The second moment of the fluctuating wavefield is given in the form of the Fourier transform, and is derived for a moving ground glass on the assumption that the glass gives a pure phase variation obeying the gaussian process. The variation in the degree of coherence is examined by taking the beam spread, the roughness and the correlation length as parameters. These results are compared with the ones obtained in the mathematical limit of the beam spread. The experimental results are shown for various beam spreads and roughnesses. The results are in good agreement with the theoretical calculations.

URL: http://jjap.jsap.jp/link?JJAP/12/694/
DOI: 10.1143/JJAP.12.694

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