| 相控阵天线电磁发射特性的统计分析 |
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| 引用本文： | 赵运茹, 王佺峰, 吴琦. 相控阵天线电磁发射特性的统计分析[J]. 强激光与粒子束, 2021, 33: 123003. doi: 10.11884/HPLPB202133.210389 |
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| 作者姓名： | 赵运茹 王佺峰 吴琦 |
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| 作者单位： | 北京航空航天大学 电子信息工程学院, 北京 100191 |
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| 基金项目： | 国家自然科学基金项目(U2141230) |
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| 摘 要： | 相控阵天线波束指向高度动态变化，其电磁发射特性呈现出显著的统计规律，分析和测试所需的资源巨大。采用多项式混沌展开（PCE）探究二维平面相控阵天线发射特性的统计特性，根据方向图乘积定理等确定代表相控阵天线电磁发射特性的目标函数，利用PCE建立目标函数的等效代理模型。从理想点源构成的相控阵天线着手，分别考虑了主波束指向服从均匀分布和正态分布两种典型情况，通过计算机仿真模拟得到等效代理模型的概率密度函数和累积分布函数，并使用传统的蒙特卡罗方法结果作为参照来评估PCE方法的有效性和可靠性，最后对小型偶极子相控阵天线的波束指向服从两种典型分布的情况进行讨论。仿真对比结果表明，PCE方法在保证结果准确度的同时可以大大减少采样样本点数目，大幅提升相控阵天线电磁发射特性分析和测试的效率。
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| 关 键 词： | 相控阵天线 波束扫描 电磁发射 多项式混沌展开 蒙特卡罗方法 |
| 收稿时间： | 2021-09-01 |
| 修稿时间： | 2021-11-28 |
Statistical analysis on electromagnetic emission characteristics of phased array antenna |
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| Zhao Yunru, Wang Quanfeng, Wu Qi. Statistical analysis on electromagnetic emission characteristics of phased array antenna[J]. High Power Laser and Particle Beams, 2021, 33: 123003. doi: 10.11884/HPLPB202133.210389 |
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| Authors: | Zhao Yunru Wang Quanfeng Wu Qi |
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| Affiliation: | School of Electronics and Information Engineering, Beihang University, Beijing 100191, China |
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| Abstract: | The beam direction of the phased array antenna changes dynamically. Its electromagnetic emission characteristics show significant statistical laws, and the resources required for analysis and testing are numerous. In this paper, polynomial chaos expansion (PCE) is used to explore the statistical characteristics of the two-dimensional planar phased array antenna’s emission. The objective function of the phased array antenna is determined according to the pattern product theorem, and PCE is used to establish an equivalent surrogate model of the array’s emission characteristics. The paper starts from the phased array antenna composed of ideal point sources, and considers two typical cases that the main beam direction obeys the uniform distribution and the normal distribution. The statistical characteristics of the equivalent surrogate model are obtained by computer simulation. The results of the traditional Monte Carlo (MC) method are used as a reference to evaluate the effectiveness and reliability of the PCE method. At the end of the paper, the situation that the beam direction of the dipole phased array antenna obeys two typical distributions is briefly discussed. The comparison of simulation results shows that the PCE method can greatly reduce the sampling numbers of calculation while ensuring the accuracy of the results, and significantly improve the efficiency of analysis and testing. |
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| Keywords: | phased array antenna beam scanning electromagnetic emission polynomial chaos expansion Monte Carlo method |
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