Wavefront Distortion Correction of Vortex Beam Based on Improved SPGD Algorithm

Shengjie Ma; Shiqi Hao; Qingsong Zhao

doi:10.3788/AOS202141.0601001

[1] Allen L, Beijersbergen M W. Spreeuw R J C, et al. Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes[J]. Physical Review A, 45, 8185-8189(1992).

[2] Wang J, Yang J Y, Fazal I M et al. Terabit free-space data transmission employing orbital angular momentum multiplexing[J]. Nature Photonics, 6, 488-496(2012). http://www.nature.com/articles/nphoton.2012.138

[3] Ge X L, Wei G X, Liu X J et al. Intensity distribution and optical vortex wander of vortex beams propagating in turbulent atmosphere[J]. Acta Optica Sinica, 36, 1026015(2016).

[4] Ke X Z, Wang C Z. Intensity distribution of the partially coherent vortex beams propagating in atmospheric turbulence[J]. Laser & Optoelectronics Progress, 53, 110604(2016).

[5] Gao C Q, Zhang S K, Fu S Y et al. Adaptive optics wavefront correction techniques of vortex beams[J]. Infrared and Laser Engineering, 46, 0201001(2017).

[6] Zhao S M, Leach J, Gong L Y et al. Aberration corrections for free-space optical communications in atmosphere turbulence using orbital angular momentum states[J]. Optics Express, 20, 452-461(2012).

[7] Zhou P, Wang X L, Ma Y X et al. Analysis on residual error for adaptive optical system based on stochastic parallel gradient descent control algorithm[J]. Acta Optica Sinica, 30, 613-617(2010).

[8] Xie G D, Ren Y X, Huang H et al. Phase correction for a distorted orbital angular momentum beam using a Zernike polynomials-based stochastic-parallel-gradient-descent algorithm[J]. Optics Letters, 40, 1197-1200(2015).

[9] Dong B, Yu J. Hybrid approach used for extended image-based wavefront sensor-less adaptive optics[J]. Chinese Optics Letters, 13, 041101(2015). http://www.opticsjournal.net/Articles/Abstract?aid=OJ4842603a1fa5001a

[10] Ke X Z, Wang X Y. Experimental study on the correction of wavefront distortion for vortex beam[J]. Acta Optica Sinica, 38, 0328018(2018).

[11] Vorontsov M A, Carhart G W, Ricklin J C. Adaptive phase-distortion correction based on parallel gradient-descent optimization[J]. Optics Letters, 22, 907-909(1997). http://www.ncbi.nlm.nih.gov/pubmed/18185702

[12] Ma S Q, Yang P, Lai B H et al. Slab laser beam cleanup based on efficient stochastic parallel gradient descent algorithm[J]. Chinese Journal of Lasers, 47, 0805001(2020).

[13] Liu L X, Zhang M L, Wu Z Q et al. Application of adaptive optics in fluorescence microscope[J]. Laser & Optoelectronics Progress, 57, 120001(2020).

[14] Chen B, Li X Y, Jiang W H. Optimization of stochastic parallel gradient descent algorithm for adaptive optics in atmospheric turbulence[J]. Chinese Journal of Lasers, 37, 959-964(2010).

[15] Chang Y H, Li H Y[J]. Comparison of gradient based optimization algorithms Modern Computer, 2019, 3-8, 15.

[16] Yao A M, Padgett M J. Orbital angular momentum: origins, behavior and applications[J]. Advances in Optics and Photonics, 3, 161-204(2011).

[17] Niu C J, Lu F, Han X E. Propagation properties of Gaussian array beams transmitted in oceanic turbulence simulated by phase screen method[J]. Acta Optica Sinica, 38, 0601004(2018).

[18] Luo C K, Lu F, Miao Z F et al. Propagation and spreading of radial vortex beam array in atmosphere[J]. Acta Optica Sinica, 39, 0601004(2019).

[19] Huang H, Ren Y X, Yan Y et al. Phase-shift interference-based wavefront characterization for orbital angular momentum modes[J]. Optics Letters, 38, 2348-2350(2013).

[20] Wu K, Sun Y, Huai Y et al. Multi-perturbation stochastic parallel gradient descent method for wavefront correction[J]. Optics Express, 23, 2933-2944(2015).