Pre-turbulence compensation of orbital angular momentum beams based on a probe and the Gerchberg-Saxton algorithm.

We propose a scheme that uses a probe Gaussian beam and the Gerchberg-Saxton (GS) algorithm to realize the pre-turbulence compensation of beams carrying orbital angular momentum (OAM). In the experiment, spatial light modulators are utilized to simulate the turbulent atmosphere and upload the retrieval holograms. A probe Gaussian beam is used to detect the turbulence. Then, the retrieval holograms, which can correct the phase distortion of the OAM beams, are obtained by the GS algorithm. The experimental results show that single or multiplexed OAM beams can be compensated well. The compensation performances under different iterations are also analyzed.

[1]  J. P. Woerdman,et al.  Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[2]  A. Willner,et al.  Adaptive optics compensation of multiple orbital angular momentum beams propagating through emulated atmospheric turbulence. , 2014, Optics letters.

[3]  A. Willner,et al.  Terabit-Scale Orbital Angular Momentum Mode Division Multiplexing in Fibers , 2013, Science.

[4]  Yinwen Cao,et al.  Phase correction for a distorted orbital angular momentum beam using a Zernike polynomials-based stochastic-parallel-gradient-descent algorithm. , 2015, Optics letters.

[5]  David L. Fried,et al.  Statistics of a Geometric Representation of Wavefront Distortion: Errata , 1965 .

[6]  Siyuan Yu,et al.  Integrated Compact Optical Vortex Beam Emitters , 2012, Science.

[7]  R. Lane,et al.  Simulation of a Kolmogorov phase screen , 1992 .

[8]  A. Willner,et al.  Atmospheric turbulence effects on the performance of a free space optical link employing orbital angular momentum multiplexing. , 2013, Optics letters.

[9]  A. Willner,et al.  Optical communications using orbital angular momentum beams , 2015 .

[10]  M. Padgett,et al.  Orbital angular momentum: origins, behavior and applications , 2011 .

[11]  Robert W Boyd,et al.  Influence of atmospheric turbulence on states of light carrying orbital angular momentum. , 2012, Optics letters.

[12]  R. Gerchberg.  A practical algorithm for the determination of phase from image and diffraction plane pictures , 1972 .

[13]  Siyuan Yu,et al.  Potentials and challenges of using orbital angular momentum communications in optical interconnects. , 2015, Optics express.

[14]  Shiyao Fu,et al.  Measurement of orbital angular momentum spectra of multiplexing optical vortices. , 2016, Optics express.

[15]  S. M. Zhao,et al.  Aberration corrections for free-space optical communications in atmosphere turbulence using orbital angular momentum states. , 2012, Optics Express.

[16]  A. Willner,et al.  Adaptive-optics-based simultaneous pre- and post-turbulence compensation of multiple orbital-angular-momentum beams in a bidirectional free-space optical link , 2014 .

[17]  A. Willner,et al.  Terabit free-space data transmission employing orbital angular momentum multiplexing , 2012, Nature Photonics.

[18]  Cheng-Shan Guo,et al.  Evolution of phase singularities of vortex beams propagating in atmospheric turbulence. , 2015, Journal of the Optical Society of America. A, Optics, image science, and vision.

[19]  Donald T. Gavel,et al.  Simulation of stellar speckle imaging , 1994, Astronomical Telescopes and Instrumentation.