EXACT SOLUTIONS OF THE HELMHOLTZ EQUATION FOR NON-DIFRATIVE NON-RAYLEIGH SPECKLES FIELDS
Rayleigh speckles, non-Rayleigh speckles, speckle statistics, optical speckles, statistical optics, phase optimization algorithm.
Coherent light scattering by a disordered media generally produces speckles displaying Rayleigh statistics. Research on speckle patterns has been developed over the years. In the special case of non-Rayleigh speckles, basically their patterns maintain a spatial random granular structure, but the intensity probability distribution deviates from the Rayleigh statistics. In our work, we propose an easy and efficient method to generate a continuous range of contrast values corresponding to sub-Rayleigh and super-Rayleigh. We name this speckle fields exact non-Rayleigh non-diffractive (ENRND). The generated Speckle fields are solutions of the Helmholtz scalar equation. We use a computer to control the relative phases of a plane wave decomposition of the speckle fields. Therefore, it was possible to generate patterns without losing the non-diffractive characteristics and keeping non-Rayleigh statistics during the propagation.