混响室的混沌特性及其场统计分布

Chaotic characteristics and statistic distribution of field in reverberation chamber

采用有限元数值方法计算了理想和实际结构混响室的本征频率,将其本征频率间隔分布与量子混沌理论不同系综的理论分布进行对比分析,证明了实际结构混响室的系综为高斯正交系综,混响室为混沌系统。在此基础上,利用随机平面波假设将理想金属混响室内电场矢量本征函数表示为随机平面波的线性叠加,进而将混响室内电场表示为与横电磁波两种可能的极化方式对应的矢量本征函数展开式。根据矢量本征函数的概率分布得到了电场任一笛卡尔坐标分量服从2自由度的Rayleigh分布,总场服从6自由度的Rayleigh分布。用ETS HI-6105光纤电场探头对某混响室进行了电场分量值测量,比较了测量数据与理论模型的累积概率分布。结果表明,试验结果与理论模型符合较好,证明了电场统计分布模型的有效性。

Quantum chaos theory is used to study a reverberation chamber （RC）. We evaluate the chaotic characteristics of a numerical RC by analyzing the eigenfrequency spacing distribution with the finite element method. Based on the electromagnetic chaotic features and the hypothesis, the electric field vector eigenfunction in the RC could be expressed as linear superposition of random plane waves. Then the electric field in the RC can be expressed as the vector eigenfunction expansion. The Rayleigh dis- tribution model of probability density function of electric field in the RC is derived by statistical approach. The electric field inten- sity measurement in an actual mechanical stirring RC is completed with ETS HI-6105 prober. The electric field distribution in the chamber is in close agreement with the result from the statistical model, which proves the validity of the theoretical model.