The correlation properties of the optical field diffusely reflected from a rough surface under coherent illumination are analyzed numerically. The cross-correlations of the complex amplitudes and the intensities before and after translation and/or tilt of the surface are calculated at an arbitrary observation plane in three-dimensional (3D) space. The results provide us with the 3D distributions of phase changes and speckle displacement that lead to the distributions and signal-to-noise ratio of the displacement to be measured by holographic interferometry and speckle correlation technique. Comparisons with analytical relationships and physical interpretation of them are also discussed.
© 2009 Chinese Optics LettersPDF Article