Gradient-based optimization method for producing a contoured beam with single-fed reflector antenna

作     者：LIAN Peiyuan WANG Congsi XIANG Binbin SHI Yu XUE Song 

作者机构：School of Mechano-Electronic Engineering Xidian University Xinjiang Astronomical Observation Chinese Academy of Sciences Department of Mechanical Engineering Thornton Science Park University of Chester 

出 版 物：《Journal of Systems Engineering and Electronics》 (系统工程与电子技术（英文版）)

年 卷 期：2019年第30卷第1期

页      面：22-29页

核心收录：

学科分类：0808[工学-电气工程] 07[理学] 0809[工学-电子科学与技术（可授工学、理学学位）] 0802[工学-机械工程] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China(51805399) the Fundamental Research Funds for the Central Universities(JB180403) the Chinese Academy of Sciences(CAS)"Light of West China" Program(2017-XBQNXZ-B-024) the National Basic Research Program of China(973 Program)(2015CB857100) the Operation,Maintenance and Upgrading Fund for Astronomical Telescopes and Facility Instruments,budgeted from the Ministry of Finance of China(MOF)and administrated by the CAS 

主　　题：reflector antennas single feed contoured beam gradient-based optimization method. 

摘      要：A gradient-based optimization method for producing a contoured beam by using a single-fed reflector antenna is presented. First, a quick and accurate pattern approximation formula based on physical optics(PO) is adopted to calculate the gradients of the directivity with respect to reflector s nodal displacements. Because the approximation formula is a linear function of nodal displacements, the gradient can be easily derived. Then, the method of the steepest descent is adopted, and an optimization iteration procedure is proposed. The iteration procedure includes two loops: an inner loop and an outer loop. In the inner loop, the gradient and pattern are calculated by matrix operation, which is very fast by using the pre-calculated data in the outer loop. In the outer loop, the ideal terms used in the inner loop to calculate the gradient and pattern are updated, and the real pattern is calculated by the PO method. Due to the high approximation accuracy, when the outer loop is performed once, the inner loop can be performed many times, which will save much time because the integration is replaced by matrix operation. In the end, a contoured beam covering the continental United States(CONUS) is designed, and simulation results show the effectiveness of the proposed algorithm.