Propagation properties of Laguerre-Gaussian Schell-model beams with a twist phase

Abstract In this paper, we introduce a new class of twisted partially coherent beams with a prescribed correlation function, twisted Laguerre-Gaussian Schell-model (TLGSM) beams, whose twist factor not only exists in the twist phase but also in correlation function. Analytical expressions for the cross-spectral density function propagating in free space and in turbulence are derived based on the extended Huygens-Fresnel integral. The evolution of the spectral intensity and orbital angular momentum (OAM) are discussed. Our results show that adjusting both the mode order and twist factor of the proposed beams to enhance the total OAM of the beams and, simultaneously, improve their resistance to turbulence. With multiple degrees of freedom that can be adjusted to optimize the beam for different turbulence conditions, TLGSM beams are an excellent candidate for use in optical applications in challenging media.