Abstract
We analyze the topological charge of a Laguerre-Gaussian(LG) vortex beam transmitted in atmospheric turbulence. The analytic expression of the topological charge detection probability is derived to analyze the influences of turbulence and beam parameters. This theoretical model is applied to illustrate the OAM modal crosstalk of a LG vortex beam propagating in atmospheric turbulence. The scattering width of topological charge is defined, and its analytic expression is derived. The relationship between the refractive index structure constant of atmospheric turbulence and scattering width has been studied. Furthermore, the linear expression of the scattering variance, coherence parameter and the original topological charge of the vortex beam are obtained. In order to reduce the bit error rate (BER) caused by crosstalk and improve the performance of the communication system, we provide a theoretical basis for the selection of the topological charge spacing and the appropriate beam waist in different turbulence.
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