Intensity characteristics of double-half inverse Gaussian hollow beams through turbulent atmosphere

Abstract

The propagation characteristics of a double-half inverse Gaussian hollow beam (DHIGHB) through atmospheric turbulence are investigated theoretically. The on-axis average intensity of the beam passing through a turbulent atmosphere is derived in closed-form under the framework of the Huygens–Fresnel diffraction integral and the Rytov method. Numerical examples have been performed to illustrate the dependence of the on-axis intensity on the index structure constant of the atmospheric turbulence and the parameters of the incident DHIGHB. It is shown that upon propagating the DHIGHB will have a bright central spot, and the on-axis intensity will reach a threshold value at certain propagation distance zm, and after that the beam will retrieve its original dark hollow characteristics. This conversion is quicker for large constant strength turbulence, large wavelength and small initial beam waist size.