Influence of spectral dispersion parameters on the beam smoothing performance of a diffractive optical element

In this paper, a theoretical model to analyze the beam smoothing performance, realized by the smoothing by spectral dispersion (SSD) and the diffractive optical element (DOE), is set up with the use of the spatial frequency spectra of the far-field intensity distribution. The influences of the parameters of the SSD, for example, the frequency of the electrical field, the integration time and the angular dispersion of the diffraction grating, on the beam smoothing performance of the DOE are numerically analyzed. Furthermore, the phase distortion is considered, and the simulated results show the phase distortion should be changed during the integration time in order to obtain a good performance of beam smoothing.