Propagation properties of a partially coherent four-petal Lorentz-Gauss beam in non-Kolmogorov turbulence

The model of a partially coherent four-petal Lorentz-Gauss beam generated by the Gaussian Schell-model source was first introduced. The cross-spectral density function of a partially coherent four-petal Lorentz-Gauss beam propagating in non-Kolmogorov turbulence was derived by using the extended Huygens-Fresnel integral. The spreading and coherence properties of a partially coherent four-petal Lorentz-Gauss beam propagating in nonKolmogorov turbulence were studied. The results show that such a beam propagating in non-Kolmogorov turbulence with either larger C-n(2), smaller alpha, larger L-0, or smaller l(0) will lose the four-petal profile distribution and evolve into a solid beam with Gaussian-like distribution more rapidly as the propagation distance increases. The results also show that the spectral degree of coherence of a partially coherent four-petal Lorentz-Gauss beam between two points (-x, 0) and (x, 0) will decrease as the distance of two points increases in the far field.