BEAM PROPAGATION FACTOR OF PARTIALLY CO- HERENT LAGUERRE-GAUSSIAN BEAMS IN NON- KOLMOGOROV TURBULENCE

Abstract—In order to study beam-propagation factor (M2-factor) of partially coherent Laguerre-Gaussian (PCLG) beams in non-Kolmogorov turbulence, a generalized exponent and a generalized amplitude factor are introduced. Based on the extended Huygens-Fresnel principle and second-order moments of the Wigner distribution function (WDF), the analytical formula of M2-factor for PCLG beams in non-Kolmogorov turbulence is derived. The corresponding numerical results are also calculated. Results show that for PCLG beams propagating in non-Kolmogorov turbulence, the bigger the beam order or outer scale is, or the smaller the correlation length, C̃2n, or inner scale is, the smaller the value of the normalizedM 2-factor is. Furthermore, the normalized M2-factor of PCLG beams increases with the increasing of α until it reaches the maximum point, then it gradually decreases the increasing of α. 1