Abstract:Based on the extended Huygens-Fresnel principle and the definition of the second moment of Wigner distribution function (WDF),the analytical expressi on of the root-mean-square (rms) spatial width,rms angular width and M2-factor of partially coherent electromagnetic hollow beam (PCEHB) in inhomogeneous atmos pheric turbulence have been derived.And we simulated numerically and analyzed t he effects of zenith angles,beam orders,inner scale of the turbulence,wavelen gth,waist width,initial coherence length and initial degree of polarization on beam quality.The results show that with the decrease of zenith angles and the increase of initial degree of polarization,the rms spatial width,rms angular w idth and relative M2-factor of PCEHB become small,whi ch means the beam is less affected by turbulence.And the effect of initial degree of polarization on rela tive M2-factor is smaller than that of relative rms s patial width and relative r ms angular width.The M2-factor also increases with th e increase of zenith angle s,and the influence on M2-factor increases rapidly wh en the zenith angles is gr eater than 1.It is also found that the relative M2-fa ctor decreases with the in crease of beam order,inner scale of the turbulence,wavelength and waist width and the decrease of initial coherent length.And relative M2-factor is affected by zenith Angle and waist width more than other parameters.