Turbulence distance of partially coherent flat-topped beams in non-Kolmogorov turbulence

The expressions for the turbulence distance of partially coherent Flat-topped beams propagating through non-Kolmogorov turbulence is derived, and the influence of generalized exponent parameter of the atmospheric power spectrum, inner scale, outer scale and the beam parameters on the turbulence distance is studied. It is shown that turbulence distance decreases with increasing coherence parameter, waist width and outer scale (for generalized exponent parameter of the atmospheric power spectrum in the range of 3.6-4.0), but increases with increasing beam orders and inner scale. However, turbulence distance does not monotonically vary with the increase of generalized exponent parameter of the atmospheric power spectrum, it decreases firstly and then increases. When the value of generalized exponent parameter of the atmospheric power spectrum is 3.11, turbulence distance reaches its minima, which means that the spreading of beams is the largest. The turbulence distance and Rayleigh range are compared by using generalized exponent parameter of the atmospheric power spectrum and the beam parameters, and it shows that whether the spreading is affected by turbulence within Rayleigh range is determined by generalized exponent parameter of the atmospheric power spectrum and the beam parameters. Key words: