Abstract

The temporal properties of doubly-scattered speckle patterns produced by diffuse objects under illumination of the fully developed dichromatic speckle pattern are investigated theoretically. An expression is derived for the normalized spectral correlation function of time-varying intensity fluctuations, by taking into account the effect of both the roughness and the correlation length of surface profiles of the objects. A comparison between singly and doubly scattered speckle patterns reveals that the temporal properties of intensity fluctuations depend on a microstructure of the rough surface only for doubly scattered speckles. It is also shown that, while the grain size of illuminating speckles influences the rate of intensity fluctuations, it is not affected by the overall size of the illuminating speckle pattern. Finally, a new method is proposed for characterizing rough surfaces using the cross-correlation peak and the correlation time of speckle fluctuations with two different wavelengths.

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