Average intensity of anomalous hollow beam with orbital angular momentum in atmospheric turbulence

The propagation equation of average intensity of anomalous hollow beam (AHB) with optical angular momentum (OAM) in atmospheric turbulence has been derived, and the influences of constant of refraction index structure of atmospheric turbulence and the parameters of AHB with OAM on the average intensity and spreading properties are analyzed. It is found that AHB with OAM propagating in atmospheric turbulence can almost the dark hollow center as the propagation distance increases, and the AHB with OAM propagating in free space can keep its dark hollow center, and the beam propagating in stronger atmospheric turbulence will lose its initial dark hollow beam profiles more rapidly. This obtained results are useful to the practical application in free space optical communication using the AHB with OAM.