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 non-Kolmogorov turbulence were studied. The results show that such a beam propagating in non-Kolmogorov turbulence with either larger , smaller , larger , or smaller 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 and will decrease as the distance of two points increases in the far field. (paper)