Average intensity and propagation factors of the rectangular Laguerre–Gaussian correlated Schell-model beam propagating through non-Kolmogorov turbulence

Abstract

The analytical expressions for the cross-spectral density, average intensity and beam propagation factors of a rectangular Laguerre–Gaussian correlated Schell-model (RLGCSM) beam propagating through isotropic non-Kolmogorov turbulence are derived. The influence of the beam and turbulence parameters on the RLGCSM beam is numerically calculated. It is shown that the evolution behavior of the average intensity depends on the beam parameters including the coherence width, beam order, as well as the propagation distance. The RLGCSM beam propagating in turbulence will exhibit self-splitting and self-combining properties, splitting into (m + 1) × (n + 1) beam spots and combining into a Gaussian beam during propagation. The RLGCSM beam has advantages over the Gaussian Schell-model beam or Gaussian beam in turbulence for reducing turbulence-induced degradation.