Propagation of elegant Laguerre–Gaussian beam in non-Kolmogorov turbulence

Abstract

The analytical formulas for the average intensity and the beam width of the elegant Laguerre-Gaussian beam (ELGB) in non-Kolmogorov turbulence have been derived based on the extended Huygens-Fresnel principle. Numerical results reveal that the ELGB converts to Gaussian form quicker for smaller values of beam order and for smaller wavelengths. The root-mean-square (rms) beam width of ELGB increases markedly with the propagation distance for higher beam order, smaller waist width, and larger wavelength. Furthermore, discussions of the influence of ELGB by the non-Kolmogorov turbulence reveal that the normalized intensity distribution of ELGB converts into Gaussian form more quickly and that the rms beam width of ELGB increases more rapidly in non-Kolmogorov turbulence with smaller parameter α, larger outer scale, smaller inner scale and larger structure constant.