Information theory of metasurfaces

作     者：Haotian Wu Guo Dong Bai Shuo Liu Lianlin Li Xiang Wan Qiang Cheng Tie Jun Cui Haotian Wu;Guo Dong Bai;Shuo Liu;Lianlin Li;Xiang Wan;Qiang Cheng;Tie Jun Cui

作者机构：State Key Laboratory of Millimeter Waves Southeast University School of Physics and Astronomy University of Birmingham State Key Laboratory of Advanced Optical Communication Systems and Networks Department of Electronics Peking University 

出 版 物：《National Science Review》 (国家科学评论(英文版))

年 卷 期：2020年第7卷第3期

页      面：561-571页

核心收录：

学科分类：07[理学] 08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 080502[工学-材料学] 070202[理学-粒子物理与原子核物理] 0702[理学-物理学] 

基　　金：supported in part by the National Key Research and Development Program of China (2017YFA0700201,2017YFA0700202 and 2017YFA0700203) the National Natural Science Foundation of China (61631007 61871127 61890544,61801117,61735010,61731010,61722106 61701107,61701108,and 61571117) the Overseas Expertise Introduction Project for Discipline Innovation (111-2-05) Fund forInternational Cooperation and Exchange of the National Natural Science Foundation of China (61761136007) 

主　　题：metasurfaces differential entropy radiation information bounds maximum orthogonal radiation patterns information invariance 

摘      要：We propose a theory to characterize the information and information processing abilities of metasurfaces,and demonstrate the relation between the information of the metasurface and its radiation pattern in the far-field region. By incorporating a general aperture model with uncertainty relation in L2-space, we propose a theory to predict the upper bound of information contained in the radiation pattern of a metasurface, and reveal the theoretical upper limit of orthogonal radiation states. The proposed theory also provides guidance for inverse design of the metasurface with respect to given functionalities. Through investigation of the information of disordered-phase modulated metasurfaces, we find the information invariance(1-γ, whereγ is Euler’s constant) of chaotic radiation patterns. That is to say, the information of the disordered-phase modulated radiation patterns is always equal to 1-γ, regardless of variations in size, the number of elements and the phase pattern of metasurface. This value might be the lower bound of radiation-pattern information of the metasurface, which can provide a theoretical limit for information modulation applications, including computational imaging, stealth technologies and wireless communications.