Dynamics of the partially coherent radially polarized rotating elliptical cosine-Gaussian optical lattice through anisotropic turbulence

Abstract

Based on the extended Huygens–Fresnel integral, the analytical expressions for the average intensity of a partially coherent radially polarized rotating elliptical cosine-Gaussian optical lattice (PCRPREGOL) in the anisotropic turbulence are derived. We find that the lattice intensity profile and the spatial degree of coherence will display periodicity reciprocity over a long propagation distance even though the lattices are affected by the turbulence. The periodicity reciprocity of PCRPREGOL is not only affected by the lattice parameter but also affected by the beam order factor. The intensity pattern of the PCRPREGOL in a certain distance can be modulated by the lattice lobes, and some interesting phenomena appear due to the overlap of four lattice arrays during the evolution of the PCRPREGOL. At the same time, the four periodic grid patterns and the tapered light intensity composed by four parts of the PCRPREGOL can be flexibly tuned by modulating the source correlation parameters and the lattice constant. Last but not least, we also discuss the coherent and polarized characteristics of the PCRPREGOL in the anisotropic turbulence.