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A Quick Hybrid Atmospheric-interference Compensation Method in a WFS-less Free-space Optical Communication System

  • Cui, Suying (College of Communication Engineering, Jilin University) ;
  • Zhao, Xiaohui (College of Communication Engineering, Jilin University) ;
  • He, Xu (College of Communication Engineering, Jilin University) ;
  • Gu, Haijun (College of Communication Engineering, Jilin University)
  • Received : 2018.05.18
  • Accepted : 2018.10.05
  • Published : 2018.12.25

Abstract

In wave-front-sensor-less adaptive optics (WFS-less AO) systems, the Jacopo Antonello (JA) method belongs to the model-based class and requires few iterations to achieve acceptable distortion correction. However, this method needs a lot of measurements, especially when it deals with moderate or severe aberration, which is undesired in free-space optical communication (FSOC). On the contrary, the stochastic parallel gradient descent (SPGD) algorithm only requires three time measurements in each iteration, and is widely applied in WFS-less AO systems, even though plenty of iterations are necessary. For better and faster compensation, we propose a WFS-less hybrid approach, borrowing from the JA method to compensate for low-order wave front and from the SPGD algorithm to compensate for residual low-order wave front and high-order wave front. The correction results for this proposed method are provided by simulations to show its superior performance, through comparison of both the Strehl ratio and the convergence speed of the WFS-less hybrid approach to those of the JA method and SPGD algorithm.

Keywords

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FIG. 1. System diagram: (a) FSOC system with sensor-less AO system, (b) sensor-less AO system.

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FIG. 2. Aberration modes (3rd-20th): (a) Zernike mode aberrations, (b) the corresponding focal-plane intensity distributions.

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FIG. 3. Flow chart for the WFS-less hybrid method.

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FIG. 4. Initial wave-front aberration: (a) Zernike coefficients, (b) phase plane.

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FIG. 5. Distortion correction by the JA method: (a) SR variation, (b) phase plane after 5 corrections.

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FIG. 6. Correction by the SPGD algorithm: (a) SR variation, (b) phase plane after 1000 corrections.

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FIG. 7. Correction by the WFS-less hybrid method: (a) SR improvement, (b) wave-front aberration phase after 5 iterations, (c) wavefront aberration phase after 300 iterations.

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FIG. 8. Normalized light intensities: (a) initial distorted light, (b) after 5 iterations, (c) after 300 iterations.

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FIG. 9. Improvement of SR for different initial aberrations, with the WFS-less hybrid method.

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FIG. 10. Improvement of SR for different aberrations (a)-(h), with the SPGD, JA and WFS-less hybrid methods.

TABLE 1. Relation of (n,m) and t

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TABLE 2. Correction results with the WFS-less hybrid method

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TABLE 3. Results of aberration correction

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