Solving Surface Deformation of Radio Telescope Antenna by Artificial Neural Network

作     者：Bo-Yang Wang Qian Ye Li Fu Guo-Xiang Meng Jin-Qing Wang Qing-Hui Liu Zhi-Qiang Shen Bo-Yang Wang;Qian Ye;Li Fu;Guo-Xiang Meng;Jin-Qing Wang;Qing-Hui Liu;Zhi-Qiang Shen

作者机构：School of Mechanical EngineeringShanghai Jiaotong UniversityShanghai 200240China Shanghai Astronomical ObservatoryChinese Academy of SciencesShanghai 200030China 

出 版 物：《Research in Astronomy and Astrophysics》 (天文和天体物理学研究（英文版）)

年 卷 期：2022年第22卷第3期

页      面：194-204页

核心收录：

学科分类：07[理学] 070401[理学-天体物理] 0704[理学-天文学] 

基　　金：supported by the National Key Research and Development Program of China:Research on Key Technologies of real-time shape control and ultra wideband pulsar signal processing for large aperture radio telescope,2021YFC2203501 the National Natural Science Foundation of China under project U1931137 

主　　题：methods:numerical telescopes waves scattering 

摘      要：Recent investigations have derived the relation between the near-field plane amplitude and the surface deformation of reflector antenna,namely deformation-amplitude equation(DAE),which could be used as a mathematical foundation of antenna surface measurement if an effective numerical algorithm is *** algorithms are hard to work directly due to the complex mathematical *** paper presents a local approximation algorithm based on artificial neural network to solve *** length factor method is used to construct a trial solution for the deformation,which ensures the final solution always satisfies the boundary *** improve the algorithm efficiency,Adam optimizer is employed to train the network *** the application of the data normalization method proposed in this paper and a step-based learning rate,a further optimized loss function could be converged *** algorithm proposed in this paper could effectively solve partial differential equations without boundary conditions such as DAE,which at the same time contains the first-order and the second-order partial derivatives,and constant *** results show that compared with the original algorithm by Fast Fourier transform,this algorithm is more stable and accurate,which is significant for the antenna measurement method based on DAE.