A polychromatic speckle pattern can be understood as an addition of N independent speckle patterns. We use the simple model for polychromatic speckle contrast, with some modifications, to evaluate the number of independent speckle patterns that contribute in the image plane. These speckle patterns may have different mean intensities depending on the surface heights distribution function. We derive a formula for the addition of multiple independent speckle patterns with different mean intensities and calculate the contrast for a surface with Gaussian statistics versus a surface with uniform distribution of the surface heights.
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Carlos M. P. Rodrigues (2003) studied this question.
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