Properties of Speckle Intensities in Near-Field Optical Regions by Numerical Solutions of Wave Equations

Starting from the electromagnetic wave equations and boundary conditions and using Green’s integral theorem, we implement the rigorous numerical solutions of the speckle field produced by scattering of dielectric random surfaces in the optical near-field. The average sizes of speckle granules are enlarged very quickly with the increase of the distance in the range less than a wavelength. It is found that the speckle contrast in the near-field and in the neighbourhood region is inversely proportional to the square of lateral correlation length at its large values and linearly decreases with the roughness exponent.