Soluções exatas da equação de Helmholtz para campos de speckles não Rayleigh não difrativos

Abstract

The scattering of coherent light by a disordered media generally generates speckles displaying Rayleigh statistics. Research on speckle patterns has developed over the years after the invention of the laser. In the special case of non-Rayleigh speckles, basically their patterns maintain a spatial structure of a random granular, 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 for the exact Non-Rayleigh Non-Diffracting (ENRND) speckles fields. The generated Speckle fields are solutions of the Helmholtz scalar equation. We use a computer to track the relative phase of plane waves from a decomposition of plane waves from speckle fields. Therefore, it was possible to generate patterns without losing non diffraction characteristics and keeping non-Rayleigh statistics during the propagation.