Abstract
We analyze the effects of non-Kolmogorov turbulence on the orbital angular momentum of a photon-beam propagation through atmosphere. The probability models of the orbital angular momentum crosstalk for single photons propagation in the channel with the non-Kolmogorov turbulence aberration have been established. It is found that the crosstalk among orbits increases as the orbital angular momentum quantum number of launch beam rises, the ground turbulence strength \({C_n^{2} \left( 0 \right)}\) enhances or the non-Kolmogorov parameter α of turbulence-channel increases. As non-Kolmogorov parameter α approaches 4, the crosstalk probabilities among neighbor orbits are approximately the same.
Similar content being viewed by others
References
Aksenov V.P.: Fluctuations of orbital angular momentum of vortex laser-beam in turbulent atmosphere. Proc. SPIE 5892, 58921Y-1-8 (2005)
Allen L., Beijersbergen M.W., Spreeuw R.J.C., Woerdman J.P.: Orbital angular-momentum of light and the transformation of Laguerre-Gaussian laser modes. Phys. Rev. A 45, 8185–8189 (1992)
Andrews L.C., Phillips R.L.: Laser Beam Propagation Through Random Media. SPIE, Washington (1998)
Anguita J.A., Neifeld M.A., Vasic B.V.: Turbulence-induced channel crosstalk in an orbital angular momentum-multiplexed free-apace optical link. Appl. Opt. 47(13), 2414–2429 (2008)
Berdja A.: On the DIMM interpretation of non-Kolmogorov turbulence in the atmospheric surface layer. Mon. Not. R. Astron. Soc. 409(2), 722–726 (2010)
Glenn A.T., Robert W.B.: Influence of atmospheric turbulence on the propagation of quantum states of light carrying orbit angular momentum. Opt. Lett. 34(2), 142–144 (2009)
Molina-Terriza, G., Torres, J.P., Torner, L.: Management of the angular momentum of light: preparation of photons in multidimensional vector states of angular momentum. Phys. Rev. Lett. 88, 257901-1-4 (2002)
Paterson C.: Atmospheric turbulence and free-space optical communication using orbital angular momentum of single photons. SPIE 5572, 187–198 (2004)
Paterson, C.: Atmospheric turbulence and orbital angular momentum of single photons for optical communication. Phys. Rev. Lett. 94, 153901-1-4 (2005)
Stribling, B.E., Welsh, B.M., Roggemann, M.C.: Optical propagation in non-Kolmogorov atmospheric turbulence. Proc. SPIE. 2471, 2471-22-1-7 (1995)
Toselli I., Andrews L.C., Phillips R.L., Ferrero V.: Free-space optical system performance for laser beam propagation through non-Kolmogorov turbulence. Opt. Eng. 47(2), 026003-1-9 (2008)
Uribe-Patarroyo N., Alvarez-Herrero A., Belenguer T.: Measurement of the quantum superposition state of an imaging ensemble of photons prepared in orbital angular momentum states using a phase-diversity method. Phys. Rev. A 81(5), 053822-1-6 (2010a)
Uribe-Patarroyo N., Alvarez-Herrero A., Belenguer T.: A comprehensive approach to deal with instrumental optical aberrations effects in high-accuracy photon’s orbital angular momentum spectrum measurements. Opt. Express 18(20), 21111–21120 (2010b)
Uribe-Patarroyo N., Alvarez-Herrero A., López Ariste A., Asensio Ramos A., Belenguer T., Manso Sainz R., LeMen C., Gelly B.: Detecting photons with orbital angular momentum in extended astronomical objects: application to solar observations. Astron. Astrophys. 526(A56), 1–5 (2011)
Vetelino F.E.S., Morgana R.J.: Model validation of turbulence effects on orbital angular momentum of single photons for optical communication. Proc. SPIE 7685, 76850R-1-10 (2010)
Vetelino F.E.S., Morgan R.J.: Orbital angular momentum receiver bandwidth for laser communications systems operating in atmospheric turbulence. Proc. SPIE 8038, 80380L (2011)
Wang J., Jia J., Xu J., Wang Y., Zhang Y.: The probability of orbital angular momentum states of single photons with Z-tilt corrected residual aberration in a slant path turbulent atmosphere. Optik 122(11), 996–999 (2011)
Wheelon A.D.: Electromagnetic Scintillation II. Weak Scattering. Cambridge University Press, Cambridge (2003)
Zhang Y., Cang J.: Effects of turbulent aberrations on probability distribution of orbital angular momentum for optical communication. Chin. Phys. Lett. 26(7), 074220-1-4 (2009)
Zhang Y., Wang Y., Xu J., Wang J., Jia J.: Orbital angular momentum crosstalk of single photons propagation in a slant non-Kolmogorov turbulence channel. Opt. Commun. 284(5), 1132–1138 (2011)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sheng, X., Zhang, Y., Wang, X. et al. The effects of non-Kolmogorov turbulence on the orbital angular momentum of a photon-beam propagation in a slant channel. Opt Quant Electron 43, 121–127 (2012). https://doi.org/10.1007/s11082-011-9512-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11082-011-9512-5