Progress in adaptive optics wavefront correction technology of vortex beam (Invited)

Haichao Zhan; Le Wang; Qin Peng; Wennai Wang; Shengmei Zhao

doi:10.3788/IRLA20210428

Journals >Infrared and Laser Engineering >Volume 50 >Issue 9 >Page 20210428 > Article

Infrared and Laser Engineering
Vol. 50, Issue 9, 20210428 (2021)

Progress in adaptive optics wavefront correction technology of vortex beam (Invited)

Haichao Zhan¹, Le Wang¹, Qin Peng¹, Wennai Wang², and Shengmei Zhao^1、2

Author Affiliations

¹Institute of Signal Processing and Transmission, Nanjing University of Posts and Telecommunications, Nanjing 210003, China

²Key Lab of Broadband Wireless Communication and Sensor Network Technology, Ministry of Education, Nanjing University of Posts and Telecommunications, Nanjing 210003, China

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DOI: 10.3788/IRLA20210428 Cite this Article

Haichao Zhan, Le Wang, Qin Peng, Wennai Wang, Shengmei Zhao. Progress in adaptive optics wavefront correction technology of vortex beam (Invited)[J]. Infrared and Laser Engineering, 2021, 50(9): 20210428 Copy Citation Text

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Abstract

The vortex beam can carry orbital angular momentum (OAM), which is associated with the spiral wavefront structure. The vortex beam has attracted a widespread attention due to its capability to significantly increase the transmission capacity and the spectral efficiency of the communication systems without the bandwidth increase. However, the turbulence in free space will cause the distortion on the spiral wavefront, resulting in the inter-mode crosstalk and the received power reduction, that degrade the communication systems’ performance. Adaptive optics is one of the effective methods to correct the distortion. The basic algorithms in adaptive optics for wavefront correction was reviewed, such as, Shack-Hartmann (SH), Stochastic-Parallel-Gradient-Descent (SPGD) and Gerchberg-Saxton (GS) algorithm, and the application of deep learning in wavefront correction was presented. At last, the authors' research work on the wavefront correction in underwater environment was introduced.

Keywords

adaptive optics deep learning underwater turbulence vortex beam wavefront correction

$ \varphi \left( {x,y} \right) = \sum\limits_{k = 0}^n {{a_k}{Z_k}\left( {x,y} \right)} $

(1)

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$ \left\{ \begin{array}{l} \varphi _x'\left( {x,y} \right) = \displaystyle\sum\limits_{k = 1}^n {{a_k}Z_{kx}'\left( {x,y} \right)} \hfill \\ \varphi _y'\left( {x,y} \right) = \displaystyle\sum\limits_{k = 1}^n {{a_k}Z_{ky}'\left( {x,y} \right)} \hfill \\ \end{array} \right. $

(2)

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$ \left[ \begin{array}{l} {G_x}\left( 1 \right) \\ {G_y}\left( 1 \right) \\ \vdots \\ {G_x}\left( m \right) \\ {G_y}\left( m \right) \\ \end{array} \right] = \left[ \begin{array}{l} {D_{x1}}\left( 1 \right) \cdots {D_{xn}}\left( 1 \right) \\ {D_{y1}}\left( 1 \right) \cdots {D_{yn}}\left( 1 \right) \\ \vdots \\ {D_{x1}}\left( m \right) \cdots {D_{xn}}\left( m \right) \\ {D_{y1}}\left( m \right) \cdots {D_{yn}}\left( m \right) \\ \end{array} \right]\left[ \begin{array}{l} {a_1} \\ \vdots \\ {a_n} \\ \end{array} \right] $

(3)

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