Average polarizability of quantization Bessel-Gaussian Schell-model beams in anisotropic non-Kolmogorov turbulence

Utilizing the quantized Huygens-Fresnel principle, we study the effects of anisotropic non-Kolmogorov turbulence on the average polarizability of quantization Bessel-Gaussian Schell-model (BGSM) photon beams. We find that the average polarizability has a weak dependence on the outer scale. By decreasing the source transverse coherent width, transmission distance and receiver aperture diameter, or increasing wavelength and photon number, we can improve the average polarizability. In addition, the average polarizability increases with increasing inner scale and anisotropic factor, or decreasing refractive-index structure parameter. This work reveals that we can utilize higher number of photons, lower source transverse coherent width and longer "window" wavelength to improve the performance of a polarization-encoded free-space quantum communication system.