Talbot image formation in random phase field

摘要

The possibilities of self reproduced or Talbot image formation in the random phase field are theoretically investigated. Random field with two different correlation function types are considered: white noise and Gaussian one. It is shown that in the case of white noise it is not possible to restore grating image. For the Gaussian noise the analytic expression is obtained that can be used to calculate grating period D for which it is possible to observe noised Talbot image formation. Additionally, well known, examples with grating reproducing by plane and spherical wavefronts are shown.