Fig. 1. Schematic diagram illustrating the propagation of a radially polarized beam through a turbulent atmosphere in terms of the multiple-phase-screen method.

Fig. 2. Simulation results for the intensity and polarization state of (a), (d) the instantaneous field realizations and (b), (e) the averaged field over 600 realizations in the receive plane after the radially polarized beam passing through the atmospheric turbulence; (c) and (f) show the degree of polarization P(r) of the averaged field. In (a)–(c), σ_R² = 0.1, while in (d)–(f), σ_R² = 1. The scale bar is 3 cm.

Fig. 3. Spatial distributions for (a)–(d) the instantaneous Stokes parameters of a single realization; (e)–(h) the average Stokes parameters over 600 realizations; and (i)–(l) the Stokes scintillation indices in the receive plane after the radially polarized beam passing through the atmospheric turbulence with σ_R² = 1. (m) shows the calculated values for the four overall Stokes scintillations. In (e) and (i)–(l), within the white dashed ring the average intensity is larger than 10% of its maximum value.

Fig. 4. (a) Behavior of overall Stokes scintillations with the Rytov variance σ_R² for the radially polarized beam propagation through the atmospheric turbulence; simulation results for the intensity and polarization state of (b) the instantaneous field realizations and (c) the averaged field over 600 realizations in the receive plane for σ_R² = 5; (d) shows the degree of polarization of the averaged field. The overall intensity scintillations ξ_R and ξ_L for the scalar modes LG0,+1(r)e^_R and LG0,−1(r)e^_L are also shown in (a). The scale bar is 3 cm.

Fig. 5. Behavior of normalized power for the fully polarized part (η_p) and the completely unpolarized part (η_u) of the beam with the Rytov variance σ_R².