Propagation of a radially polarized Laguerre-Gaussian correlated Schell-model beam in atmospheric turbulence

The evolution properties of the normalized intensity distribution, the spectral degree of coherence (SDOC), and the spectral degree of polarization (SDOP) of a radially polarized Laguerre-Gaussian correlated Schell-model (LGCSM) beam propagating in turbulent atmosphere has been studied in detail. Based on the extended Huygens-Fresnel integral and the unified theory of coherence and polarization, analytical formulas for the elements of the cross-spectral density (CSD) matrix of a radially polarized LGCSM beam in turbulent atmosphere are derived. Numerical results show that the normalized intensity distributions of the radially polarized LGCSM beams gradually evolve from a doughnut shape into a solid spot and become a Gaussian beam profile eventually due to the anisotropic effect of atmospheric turbulence on propagation. Furthermore, the influences of the spatial coherence length, the structure constant of the refractive-index fluctuations of the turbulence, the power index, the inner scale of the turbulence and the outer scale of the turbulence on the propagation properties of the normalized intensity distributions, the SDOC, and the SDOP of the radially polarized LGCSM beams are discussed in detail.

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