Abstract
Statistical properties of the speckle phase produced in the diffraction region by a curved rough surface are theoretically studied. The general expression for the probability density function of the speckle phase is derived by introducing an “optical system function” and taking the curvature radius of an object surface into the macroscopic phase component of the optical system function. The effects of the curvature radius of an object on the probability density function of the speckle phase are investigated by using the equiprobability density ellipse from the viewpoint of circularity and the asymmetry of the complex amplitude of the speckle field.
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