Effects of turbulent atmosphere on the spectral density of Bessel-modulated Gaussian Schell-model beams

In this paper, we introduce a planar optical Schell-model source correlation function for a Bessel-modulated Gaussian Schell-model beam (QBGSMB) with quadratic radial dependence. Based on the generalized Huygens-Fresnel diffraction integral and the Rytov theory, the spectral density of QBGSMB propagating through a paraxial ABCD optical system in atmospheric turbulence is derived. The impact of the source parameters and the turbulence strength on the behavior of the diffracted beam is investigated through numerical examples and discussed in detail. The obtained results indicate that the beam profile widens and the beam intensity becomes less weak as the atmosphere is more turbulent. Our results can be useful for applications in optical communications and remote sensing.

Automated summary

This paper introduces a planar optical Schell-model source correlation function for a Bessel-modulated Gaussian Schell-model beam (QBGSMB) with quadratic radial dependence. The spectral density of QBGSMB propagating through a paraxial ABCD optical system in atmospheric turbulence is derived. The impact of the source parameters and turbulence strength on the behavior of the diffracted beam is investigated through numerical examples. The results indicate that the beam profile widens and the beam intensity becomes weaker as the atmosphere becomes more turbulent.