混响室的概率统计分析方法及其蒙特卡罗模拟

摘要

A theoretical analysis approach for mode stirred reverberation chambers (MSRCs) is presented. Based on the dis-cretized probability model of ideal reverberation chambers, this approach applies Monte Carlo simulation to obtain probabilistic and statistical properties of the electromagnetic fields in MSRC and their associated physical quantities, such as the probability distribution functions of some normalized field values, the mean coupling cross-section of a uniform lossless single-wire transmission line in MSRC and the probability distribution functions of the magnitude of its terminal load current. These results are in agreement with the data published in the literature, which resulted from analytic calculations or measurements. Because of the universality of Monte Carlo method, the proposed approach can give complete probabilistic and statistical properties of any quantity of interest if only the sample size is large enough. Meanwhile, the approach does not depend on a specific reverberation chamber. Whatever geometric structure a MSRC has, accurate results can be obtained as long as its test area agrees with the basic probability model of the ideal MSRC, and the required memory and computation time are far less than those of the Monte Carlo method based on full-wave analyses.%提出了一种研究混响室问题的理论分析方法,从理想混响室的离散概率模型出发,采用蒙特卡罗模拟来获得室内电磁场量及其相关物理量的概率统计特性.运用该方法获得了混响室内若干场量(均为归一化值)的概率密度函数、室内一段均匀无耗单导体传输线的负载平均耦合截面及负载电流响应模值的概率分布,所得结果与已有文献给出的结果(包括由解析公式计算或测量所得的结果)吻合良好.由于蒙特卡罗方法的普适性,采用该方法可以获得任意待分析参量的全部概率统计特性(只要样本数足够大).同时该方法无需针对具体混响室进行,只要在其测试区域能较好地与理想混响室的基本概率模型相吻合,就能给出较精确的计算结果,且其计算量远远小于基于全波分析的蒙特卡罗方法.