复杂腔体本征电磁场空间分布的统计方法

Statistics method of eigen-electromagnetic field spatial distribution in complex cavities

利用半经典近似方法分析了电大复杂腔体内电磁波传播的混沌特征,从而引入了3维矢量本征函数的随机平面波假设。根据电磁波传播的随机极化特征,利用统计方法推导出基于该假设本征电磁场空间分布的统计模型。应用数值方法对3维Sinai微波腔体进行模拟计算,其计算结果与统计模型符合较好。这些统计模型与腔体的具体细节特征无关。

The chaotic properties of the electromagnetic wave propagation in electrical, large complex cavities are analyzed by semi-classical approximation approach. The random plane wave hypothesis of three-dimensional eigen-function is also induced. Based on this hypothesis and the random polarization of wave, the statistical approach to the solution of eigen-electromagnetic field spatial distribution problem establishes the statistical model. Importantly, those are independent of the details of cavity. Moreo- ver, we numerically investigate statistical properties of three-dimensional Sinai microwave cavities, and numerical results are agreed well with those obtained from the statistical model.