“…The effective radius of curvature of PCHG beams with longer wavelength , larger beam order m, smaller beam waist width w 0 , or worse spatial coherence (smaller coherent parameter ) is less affected by the non-Kolmogorov turbulence. As compared with the results reported in [9,25,26], it can be readily seen that the effective radius of curvature of PCHG beams exhibits a similar variation behavior with , z, , m and in non-Kolmogorov turbulence as the beam width does, whereas it is not the case for the variation with w 0 , and the beam spreading always spreads in turbulence, so that the relative beam spreading is larger than 1, while R xr ðz, Þ 5 1 in turbulence. The results obtained in this paper would be useful for a further study and comparison of the variation behavior of beam characteristic parameters of different types of beams in nonKolmogrov turbulence.…”