An Improved Method of Measuring Wavefront Aberration Based on Image with Machine Learning in Free Space Optical Communication

In this paper, an improved method of measuring wavefront aberration based on image with machine learning is proposed. This method had better real-time performance and higher estimation accuracy in free space optical communication in cases of strong atmospheric turbulence. We demonstrated that the network we optimized could use the point spread functions (PSFs) at a defocused plane to calculate the corresponding Zernike coefficients accurately. The computation time of the network was about 6–7 ms and the root-mean-square (RMS) wavefront error (WFE) between reconstruction and input was, on average, within 0.1263 waves in the situation of D/r0 = 20 in simulation, where D was the telescope diameter and r0 was the atmospheric coherent length. Adequate simulations and experiments were carried out to indicate the effectiveness and accuracy of the proposed method.

[1]  Raveendran Paramesran,et al.  Tchebichef moment based restoration of Gaussian blurred images. , 2016, Applied optics.

[2]  D. Sandler,et al.  Artificial neural network for the determination of Hubble Space Telescope aberration from stellar images. , 1993, Applied optics.

[3]  Robert A. Gonsalves,et al.  Phase Retrieval And Diversity In Adaptive Optics , 1982 .

[4]  Geoffrey E. Hinton,et al.  ImageNet classification with deep convolutional neural networks , 2012, Commun. ACM.

[5]  Jimmy Ba,et al.  Adam: A Method for Stochastic Optimization , 2014, ICLR.

[6]  James R Fienup,et al.  Machine learning for improved image-based wavefront sensing. , 2018, Optics letters.

[7]  J Vargas,et al.  Calibration of a Shack-Hartmann wavefront sensor as an orthographic camera. , 2010, Optics letters.

[8]  D. L. Misell An examination of an iterative method for the solution of the phase problem in optics and electron optics: I. Test calculations , 1973 .

[9]  Tat-Seng Chua,et al.  SCA-CNN: Spatial and Channel-Wise Attention in Convolutional Networks for Image Captioning , 2016, 2017 IEEE Conference on Computer Vision and Pattern Recognition (CVPR).

[10]  R. Q. Fugate,et al.  Use of a neural network to control an adaptive optics system for an astronomical telescope , 1991, Nature.

[11]  R. Shack,et al.  History and principles of Shack-Hartmann wavefront sensing. , 2001, Journal of refractive surgery.

[12]  J. Angel,et al.  Adaptive optics for array telescopes using neural-network techniques , 1990, Nature.

[13]  Nicolas A. Roddier Atmospheric wavefront simulation using Zernike polynomials , 1990 .

[14]  R. Mukundan,et al.  Some computational aspects of discrete orthonormal moments , 2004, IEEE Transactions on Image Processing.

[15]  Keith A. Nugent,et al.  The measurement of phase through the propagation of intensity: an introduction , 2011 .

[16]  Sergey Ioffe,et al.  Rethinking the Inception Architecture for Computer Vision , 2015, 2016 IEEE Conference on Computer Vision and Pattern Recognition (CVPR).

[17]  Jun Tanida,et al.  Deep learning wavefront sensing. , 2019, Optics express.

[18]  Leslie J. Allen,et al.  Phase retrieval from series of images obtained by defocus variation , 2001 .

[19]  J R Fienup,et al.  Phase-retrieval algorithms for a complicated optical system. , 1993, Applied optics.

[20]  Sergey Ioffe,et al.  Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shift , 2015, ICML.

[21]  Xin Qi,et al.  Feature-based phase retrieval wavefront sensing approach using machine learning. , 2018, Optics express.

[22]  Andrew Zisserman,et al.  Very Deep Convolutional Networks for Large-Scale Image Recognition , 2014, ICLR.