复杂腔体电磁混沌特性统计分析

Statistical analysis on EM chaos characteristics for complex cavity

运用量子混沌理论对复杂腔体内电磁混沌统计特性进行研究.针对不同腔体结构下的本征模分布规律问题,采用随机矩阵理论研究了它们的普适性,并结合最小二乘曲线拟合方法,总结了矩形、球形及其布尔组合体(Sinna、Stadium腔体)的混沌统计特性规律.结果显示:矩形、球形等规则腔体的混沌度较低,而两者的布尔组合体混沌度通常大于两者混沌度的线性叠加,且Sinna腔体混沌度大于Stadium腔体,这反映了内凹结构比外凸结构具有更高的混沌特性.为以后复杂腔体的混沌特性研究奠定了理论基础,也为混响室设计、试验提供了理论指导.

The quantum chaos theory is employed to analyze the statistical characteristics of chaotic EM field in complex cavity.The eigenmode distribution rule for different structure of cavities is investigated by universality of the random matrix theory,then the statistical chaotic characteristics rule of rectangle,sphere and their Boolean combine cavity(Sinna,Stadium)is proposed by the least squares curve fitting method.The results show that regular cavity suchas the rectangle and sphere belongs to low chaotic degree cavity,but their combinations are more chaotic than their linear adding,and Sinna one is more than Stadium one,which means,the concave cavity is more chaotic than that of convex one.The research ideas,the methods and the results could provide theory references for the chaos characteristics research of complex cavity,similarly for the reverberation chamber designing and testing.