Nonparaxial propagation of a partially coherent Lorentz-Gauss beam

Based on the Rayleigh-Sommerfeld diffraction integral, the analytical propagation equations of nonparaxial propagation and far field propagation for a partially coherent Lorentz-Gauss beam in free space are derived. The results show that the far field propagation is in agreement with nonparaxial propagation as the propagation distance z increases. And the beam with smaller coherence length for nonparaxial propagation of partially coherent Lorentz-Gauss beam will spread faster in free space.