Electromagnetic Algorithm for Efficiently Analyzing Large Scale Antenna Arrays with Radomes
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摘要: 针对大型带罩天线阵列系统的辐射特性仿真问题，基于等效原理和波导模式匹配法，建立了多层快速多极子算法的波端口模型，实现了对天线激励源和匹配负载的精确电磁建模，同时提出了一种适用于计算金属介质天线模型的多层快速多极子算法并行策略，通过建立多棵八叉树结构降低了计算过程中各进程间的通信量，实现了对大型带罩天线阵列系统的精确、高效一体化仿真计算。通过与高阶矩量法及有限元-边界积分方程法计算得到的天线方向图、S参数进行对比，验证了该方法的精确性及高效性。Abstract: For the analysis problem of large antenna arrays with radomes, based on the equivalence principle and mode matching theory, the wave port model of Multilevel Fast Multipole Algorithm (MLFMA) is established, and the accurate electromagnetic modeling of antenna excitation source and matching load is realized. Moreover, a parallel strategy of MLFMA for calculating metal-dielectric antenna models is proposed. By establishing multiple octree structures, the communication in processes during the calculation is reduced, and the accurate and efficient analysis of large antenna-array-and-radome-integration system is realized. A comparison of the antenna pattern and S parameters calculated by the proposed algorithm, the higher order method of moments and the finite element-boundary integral is given, validating accuracy and efficiency of the proposed method.
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表 1 波导缝隙天线加天线罩计算资源消耗对比表
使用算法 未知量 核数 收敛残差/迭代步数 峰值内存(GB) 计算时间(s) MLFMA 2 209 604 48 0.001 / 53 312.79 1228.15 HOMoM 507 197 576 – / – 3833.31 20768.08 FE-BI 18 742 186 192 0.001 / 613 3363.30 11548.15 
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