Statistic optics discussion on the formula of digital holographic 3D surface profiling measurement

Based on the theories of statistic optics and scalar diffraction, this paper derived the digital holography formula for 3D object surface profile measurement. The results indicate that random changes of the scattering light phase will cause error in measurement when the detected object surface is optically rough. Moreover, more precise calculation formula should theoretically be used in case of there is a short distance between the CCD and the measured object, both for a smooth object and an optically rough object.