Models to analyse the coupling between resonators and transmission lines of stochastic geometry

分析谐振器中具有随机几何形状的传输线需要耗时的数值解来计算沿着和终端处的电压和电流的统计特性。此外，谐振器内确定性传输线的响应以及自由空间中随机传输线的响应的计算也非常繁琐。在通常的数值模拟中，往往很难解释不同构型的结果之间的差异。这些可能是由所用模型的特性引起的，也可能是更深层次的物理性质。一个随之而来的和准确的分析的情况下，只能通过使用解析方法。在以前的项目的随机几何传输线的模型无关的理论开发。此外，有效的解析和半解析方法的快速分析的确定性传输线的谐振器中的响应的developed.In本项目的进一步发展的方法的目的是进行调查的随机线的谐振器。利用解析方法研究传输线的散射矩阵（反射系数和透射系数）的统计特性、传输线中心区域的电流分布以及传输线对外部电磁干扰的响应。

The analysis of transmission lines with random geometry in a resonator requires time-consuming numerical solutions to calculate the statistical properties of voltages and currents along the line and at the terminal. Moreover, the calculations of the response of deterministic transmission lines inside a resonator as well as the response of stochastic transmission lines in free space are also very tedious. During the usual numerical simulation it is often difficult to explain the differences between results of different configurations. These can be either caused by peculiarities of the used model or are of a deeper physical nature. A consequent and accurate analysis of the situation can only be done by using analytical methods.In a previous project a model-independent theory of transmission lines with stochastic geometry was developed. Furthermore, effective analytical and semi-analytical methods for the fast analysis of the response of deterministic transmission lines in resonators were developed.In this project further developments of the methods are intended with the aim to carry out the investigation of stochastic lines in a resonator. It is planed to study the statistical properties of the scattering matrix (reflection and transmission coefficients) of transmission lines, the current distribution in the central region of the line and the response of the line to the external electromagnetic interferences by use of analytical methods.