Fully Convolutional Approaches for Numerical Approximation of Turbulent Phases in Solar Adaptive Optics

Information on the correlations from solar Shack–Hartmann wavefront sensors is usually used for reconstruction algorithms. However, modern applications of artificial neural networks as adaptive optics reconstruction algorithms allow the use of the full image as an input to the system intended for estimating a correction, avoiding approximations and a loss of information, and obtaining numerical values of those correlations. Although studied for night-time adaptive optics, the solar scenario implies more complexity due to the resolution of the solar images potentially taken. Fully convolutional neural networks were the technique chosen in this research to address this problem. In this work, wavefront phase recovery for adaptive optics correction is addressed, comparing networks that use images from the sensor or images from the correlations as inputs. As a result, this research shows improvements in performance for phase recovery with the image-to-phase approach. For recovering the turbulence of high-altitude layers, up to 93% similarity is reached.

[1]  Arkadi Zilberman,et al.  Propagation of electromagnetic waves in Kolmogorov and non-Kolmogorov atmospheric turbulence: three-layer altitude model. , 2008, Applied optics.

[2]  Mert R. Sabuncu,et al.  Generalized Cross Entropy Loss for Training Deep Neural Networks with Noisy Labels , 2018, NeurIPS.

[3]  A. Guesalaga,et al.  First on-sky results of a neural network based tomographic reconstructor: Carmen on Canary , 2014, Astronomical Telescopes and Instrumentation.

[4]  Timothy Sands,et al.  Optimal Learning and Self-Awareness Versus PDI , 2020, Algorithms.

[5]  Sebastian Ruder,et al.  An overview of gradient descent optimization algorithms , 2016, Vestnik komp'iuternykh i informatsionnykh tekhnologii.

[6]  Alastair G. Basden,et al.  The Durham Adaptive Optics Simulation Platform (DASP): Current status , 2018, SoftwareX.

[7]  Richard H. Myers,et al.  Modeling a MEMS deformable mirror using non-parametric estimation techniques. , 2010, Optics express.

[8]  M.K. Sundareshan,et al.  Training multilayer perceptron and radial basis function neural networks for wavefront sensing and restoration of turbulence-degraded imagery , 2004, 2004 IEEE International Joint Conference on Neural Networks (IEEE Cat. No.04CH37541).

[9]  Timothy A. Sands Development of Deterministic Artificial Intelligence for Unmanned Underwater Vehicles (UUV) , 2020, Journal of Marine Science and Engineering.

[10]  Jesús Daniel Santos,et al.  Overview and Choice of Artificial Intelligence Approaches for Night-Time Adaptive Optics Reconstruction , 2021, Mathematics.

[11]  M. Kasper,et al.  Adaptive Optics for Astronomy , 2012, 1201.5741.

[12]  José Luís Calvo-Rolle,et al.  Multi-GPU Development of a Neural Networks Based Reconstructor for Adaptive Optics , 2018, Complex..

[13]  M. W Gardner,et al.  Artificial neural networks (the multilayer perceptron)—a review of applications in the atmospheric sciences , 1998 .

[14]  Sergio Luis Suárez Gómez,et al.  An approach using deep learning for tomographic reconstruction in solar observation , 2017 .

[15]  Luca Maria Gambardella,et al.  Fast image scanning with deep max-pooling convolutional neural networks , 2013, 2013 IEEE International Conference on Image Processing.

[16]  Yoshua Bengio,et al.  Convolutional networks for images, speech, and time series , 1998 .

[17]  R. B. Dunn,et al.  Solar feature correlation tracker for ground-based telescopes , 1989 .

[18]  G. Rousset,et al.  Open-loop tomography with artificial neural networks on CANARY: on-sky results , 2014, 1405.6862.

[19]  Lawrence D. Jackel,et al.  Backpropagation Applied to Handwritten Zip Code Recognition , 1989, Neural Computation.

[20]  J. Roca-Pardiñas,et al.  Real‐time tomographic reconstructor based on convolutional neural networks for solar observation , 2019, Mathematical Methods in the Applied Sciences.

[21]  Yurii Nesterov,et al.  Lectures on Convex Optimization , 2018 .

[22]  Thomas R. Rimmele,et al.  Solar Adaptive Optics , 2000, Astronomical Telescopes and Instrumentation.

[23]  Norman S. Kopeika,et al.  Non-Kolmogorov atmospheric turbulence and optical signal propagation , 2006 .

[24]  G. Batchelor,et al.  The theory of homogeneous turbulence , 1954 .

[25]  F. Heidecke,et al.  The GREGOR adaptive optics system , 2012 .

[26]  Francisco Javier de Cos Juez,et al.  Experience with Artificial Neural Networks applied in Multi-object Adaptive Optics , 2019 .

[27]  L. F. Rodríguez Ramos,et al.  Defocused Image Deep Learning Designed for Wavefront Reconstruction in Tomographic Pupil Image Sensors , 2020, Mathematics.