Light Scattering from Rough Surfaces. Appendix. Angular Correlation of Speckle Patterns. Draft
Abstract:
This work examines the angular correlation of speckle patterns produced by the coherent illumination of random rough surfaces. Speckle patterns are produced when coherent light is scattered by a rough surface or other random medium. As the angle of illumination changes, the speckle pattern changes at a rate determined by geometry and by the details of the scattering process. It is this angular change that is studied in this thesis by means of the correlation coefficient. Experimental studies are made of the angular change of speckle patterns from low and high sloped Gaussian random rough surfaces. They are illuminated with a linearly polarised laser beam, and the correlation coefficient of speckle patterns observed with a CCD camera then being determined by computational analysis. The Kirchhoff approximation is applied to the Helmholtz-Kirchhoff integral to obtain a two-dimensional analytical solution for the correlation produced by a low slope, single scattering, Gaussian surface. The results are compared with the experimental measurements