基于CMA-ES优化方法的波纹喇叭优化技术

Design and Optimization of Corrugated Horn Based on CMA-ES

介绍了旋转体时域有限差分法(BOR-FDTD),导出了电磁场迭代计算公式。给出了自适应协方差矩阵进化策略(CMA-ES)的基本原理和步骤。提出了一种基于BOR-FDTD和CMA-ES的波纹喇叭优化设计技术,并将该项技术用于平方公里阵(Square Kilometre Array,SKA)望远镜天线Band 4(2.8~5.18 GHz)波纹喇叭馈源的优化设计。计算结果表明,该馈源在工作频带内反射损耗基本在-20 d B以下,天线口径效率均优于86.5%,且口径效率随频率的变化较小。

Body-of-revolution finite-difference time-domain （BOR-FDTD） algorithm is presented, and the formula for iterative computation of electromagnetic field is obtained. The principle and procedures of covarianee matrix adaptation evolution strategy （CMA-ES） is introduced to optimize the structure parameters of the corrugated horn.An optimization method of corrugated horn based on BOR-FDTD and CMA-ES is proposed and is applied to the design of Band 4 feed for the SKA Dish.Optimization results show that the reflection loss is less than -20 dB over the operating frequency range, the aperture efficiency is better than 86.5%, and the efficiency variation with the frequency is small.