Effects of non-Kolmogorov turbulence on the orbital angular momentum of Hankel–Bessel–Schell beams

• OAM state propagation of HBS beams in non-Kolmogorov turbulence channel are discussed.
• Spread and crosstalk of OAM spiral spectrum for HBS beams in turbulence are modeled.
• HBS beam mitigates effects of turbulence on the detection probability of signal OAM.

We model the effects of the turbulence on the spread and crosstalk of the spiral spectrum of the orbital angular momentum (OAM) states for Hankel–Bessel–Schell (HBS) beams in paraxial and weak non-Kolmogorov turbulence channel. Our results show that HBS beam is a better light source which has the ability to weaken turbulence spreading of the beams and can mitigate the effects of turbulence on the detection probability of the signal OAM state due to its nondiffraction property. The detection probability of the signal OAM state for HBS beams in the non-Kolmogorov turbulence decreases with the increase of propagation distance, the generalized refractive-index structure parameters, OAM quantum number and non-Kolmogorov turbulence-parameters and with the decrease of the source spatial coherence and the wavelength of the beams. The crosstalk probability is symmetrical and has an opposite trend of the detection probability of the signal OAM state for HBS beams, and the spatial incoherence of the source increases the crosstalk effect of atmospheric turbulence among the OAM states and the spread of the spiral spectrum. Our results also show that increasing the values of non-Kolmogorov parameter and quantum number l0, will increase the spread of the spiral spectrum of the OAM states for HBS beams.