Vortex Beam Phase Correction Based on Deep Phase Estimation Network

Juan Liu; Qian Du; Fangning Liu; Ke Wang; Jiayi Yu; Dongmei Wei

doi:10.3788/AOS221804

[1] Shen Y J, Wang X J, Xie Z W et al. Optical vortices 30 years on: OAM manipulation from topological charge to multiple singularities[J]. Light: Science & Applications, 8, 90(2019).

[2] Bai Y H, Lü H R, Fu X et al. Vortex beam: generation and detection of orbital angular momentum[J]. Chinese Optics Letters, 20, 012601(2022).

[3] Bozinovic N, Yue Y, Ren Y X et al. Terabit-scale orbital angular momentum mode division multiplexing in fibers[J]. Science, 340, 1545-1548(2013).

[4] Nan J H, Han Y P. Dual-channel multiband vortex optical communication[J]. Acta Optica Sinica, 41, 1206001(2021).

[5] Trichili A, Salem A B, Dudley A et al. Encoding information using Laguerre Gaussian modes over free space turbulence media[J]. Optics Letters, 41, 3086-3089(2016).

[6] Qiao Z, Wan Z Y, Xie G Q et al. Multi-vortex laser enabling spatial and temporal encoding[J]. PhotoniX, 1, 13(2020).

[7] Li S H, Chen S, Gao C Q et al. Atmospheric turbulence compensation in orbital angular momentum communications: advances and perspectives[J]. Optics Communications, 408, 68-81(2018).

[8] Li J, Zhang M, Wang D S et al. Joint atmospheric turbulence detection and adaptive demodulation technique using the CNN for the OAM-FSO communication[J]. Optics Express, 26, 10494-10508(2018).

[9] Yuan Y S, Lei T, Gao S C et al. The orbital angular momentum spreading for cylindrical vector beams in turbulent atmosphere[J]. IEEE Photonics Journal, 9, 6100610(2017).

[10] Zhao H, Deng W C, Li J et al. Modified Gerchberg-Saxton algorithm-based probe-free wavefront distortion compensation of an OAM beam[J]. Optik, 269, 169816(2022).

[11] Fu S Y, Zhang S K, Wang T L et al. Pre-turbulence compensation of orbital angular momentum beams based on a probe and the Gerchberg-Saxton algorithm[J]. Optics Letters, 41, 3185-3188(2016).

[12] Vorontsov M A, Sivokon V P. Stochastic parallel-gradient-descent technique for high-resolution wave-front phase-distortion correction[J]. Journal of the Optical Society of America A, 15, 2745-2758(1998).

[13] 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).

[14] Ma S J, Hao S Q, Zhao Q S. Wavefront distortion correction of vortex beam based on improved SPGD algorithm[J]. Acta Optica Sinica, 41, 0601001(2021).

[15] Zhou H P, Pan Z Z, Dedo M I et al. High-efficiency and high-precision identification of transmitting orbital angular momentum modes in atmospheric turbulence based on an improved convolutional neural network[J]. Journal of Optics, 23, 065701(2021).

[16] Liu X L, Chen X D, Lin Z L et al. Deep-learning-assisted detection for topological charges of vortex beams through strong scattering medium[J]. Acta Optica Sinica, 42, 1426001(2022).

[17] Yin X L, Chen X Z, Chang H et al. Experimental study of atmospheric turbulence detection using an orbital angular momentum beam via a convolutional neural network[J]. IEEE Access, 7, 184235-184241(2019).

[18] Ye Y E, Li J Y, Cao M et al. Accuracy recognition of orbital angular momentum of dual-mode vortex beams[J]. Laser & Optoelectronics Progress, 58, 1811021(2021).

[19] Ke X Z, Chen M. Recognition of orbital angular momentum vortex beam based on convolutional neural network[J]. Microwave and Optical Technology Letters, 63, 1960-1964(2021).

[20] Hao Y, Zhao L, Huang T et al. High-accuracy recognition of orbital angular momentum modes propagated in atmospheric turbulences based on deep learning[J]. IEEE Access, 8, 159542-159551(2020).

[21] Wang Z K, Dedo M I, Guo K et al. Efficient recognition of the propagated orbital angular momentum modes in turbulences with the convolutional neural network[J]. IEEE Photonics Journal, 11, 7903614(2019).

[22] Liu J M, Wang P P, Zhang X K et al. Deep learning based atmospheric turbulence compensation for orbital angular momentum beam distortion and communication[J]. Optics Express, 27, 16671-16688(2019).

[23] Xiong W J, Wang P P, Cheng M L et al. Convolutional neural network based atmospheric turbulence compensation for optical orbital angular momentum multiplexing[J]. Journal of Lightwave Technology, 38, 1712-1721(2020).

[24] Hill R J. Models of the scalar spectrum for turbulent advection[J]. Journal of Fluid Mechanics, 88, 541-562(1978).

[25] Andrews L C, Phillips R L[M]. Laser beam propagation through random media(2005).

[26] 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).

[27] Guo J W, Shi H Y, Yang T et al. Atmospheric turbulence compensation for OAM-carrying vortex waves based on convolutional neural network[J]. Advances in Space Research, 69, 1949-1959(2022).

[28] Lohani S, Glasser R T. Turbulence correction with artificial neural networks[J]. Optics Letters, 43, 2611-2614(2018).

[29] Hou T Y, An Y, Chang Q et al. Deep-learning-assisted, two-stage phase control method for high-power mode-programmable orbital angular momentum beam generation[J]. Photonics Research, 8, 715-722(2020).

[30] Wang X Y, Wu T Y, Dong C et al. Integrating deep learning to achieve phase compensation for free-space orbital-angular-momentum-encoded quantum key distribution under atmospheric turbulence[J]. Photonics Research, 9, B9-B17(2021).