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Analysis of electromagnetic multi-scale structure and non-linear effects
MAO Yuru, XIE Yongjun
School of Electronic and Information Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
Abstract:The microstructures and the electrical contact property may affect the performance of the macro scale objects, and the passive intermodulation (PIM) problems cannot be directly calculated by frequency-domain methods. Firstly, the Floquet's theorem combined with the full-wave method was proposed to analyze the electrical performance of the multi-scale structure with periodic microstructures. Secondly, an equivalent circuit model of non-linear metallic junctions coupled with full-wave frequency domain method was adopted to analyze the PIM problems of multi-scale structure. The numerical results show that the method proposed can evaluate the influence of microstructure on the performance of macrostructure, and eliminate the accumulation of computational error appeared in the time domain method which is unacceptable in electrically large objects.
Key words: multi-scale structure     electrically large objects     periodic microstructures     non-linear effects     Floquet's theorem

1 多尺度问题的等效分析方法

 图 1 松散连接接触面Fig. 1 Contact surface of metallic connection

 图 2 松散连接接触面的等效电路Fig. 2 Equivalent circuit of metallic connection contact surface
 图 3 多尺度结构等效方法流程图Fig. 3 Flow diagram of equivalent method for multi-scale structure
2 非线性问题的场路结合分析方法

 图 4 场路结合方法分析无源互调的流程图Fig. 4 Flow diagram of coupled field-circuit method for PIM analysis
3 数值实例 3.1 多尺度问题的等效分析方法的应用

 图 5 周期结构的平面网状反射面Fig. 5 Planar mesh reflector with periodic structure

 图 6 不同接触状态下的传输损耗Fig. 6 Transmission loss for different connections

3.2 场路结合数值分析方法的应用

 图 7 金属结无源互调计算模型Fig. 7 PIM computed model of metallic junction

 互调阶数 每个频点处输入功率/W 测试结果/dBm 本文计算结果/dBm 3阶 100 -104 -102 170 -100 -97 5阶 100 -125 -123 170 -116 -114
4 结论

1) 由丝网反射面电性能的计算结果可知,网面上金属结的电接触特性对整个丝网的电性能会产生较大的影响,必须建立正确合理的丝网单元的电磁模型,才能得到准确的丝网反射面的电性能.而多尺度等效分析方法可以有效地对含有微观结构的电大尺寸微波部件的电性能以及该结构对宏观结构电性能的影响进行评估.

2) 提出的场路结合数值分析方法解决了频域计算方法无法求解非线性物质结构的电磁响应问题.

3) 场路结合数值分析方法可以分析具有松散连接结构的电大尺寸微波部件的无源互调,相比时域计算方法,产生的误差较小.

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#### 文章信息

MAO Yuru, XIE Yongjun

Analysis of electromagnetic multi-scale structure and non-linear effects

Journal of Beijing University of Aeronautics and Astronsutics, 2015, 41(10): 1848-1852.
http://dx.doi.org/10.13700/j.bh.1001-5965.2015.0210