三维RC网络仿真异质材料的通用介质响应

提出了一种三维RC网络模型，并采用MATLAB及C语言对该模型进行编码、建模和仿真，得到了该网络的归一化复介电常数.分别计算了元件数为54，144，300，540和882的三维RC网络，结果表明，元件数为300及其以上的网络，其通用介质响应(UDR)特性趋于稳定；获得了电容分别为100nF，10nF，1nF和100pF时，540个元件RC网络的归一化复介电常数与频率关系的仿真结果；仿真了540个元件的RC网络中，电阻比例分别为4％，7％，10％，16％和33％时，归一化复介电常数与角频率ω的关键词：三维RC网络异质材料介电常数通用介质响应

Modelling the universal dielectric response in heterogeneous materials using 3-D RC networks

In this paper，a three-dimensional RC networks model has been developed，and the RC networks has been coded，modeled and simulated based on Matlab and C programming language. The complex permittivity of this model has been calculated. The dielectric properties of RC networks containing 54，144，300，540 and 882 components have been computed. It was found that these properties exhibit the anomalous power law dependence on frequency known as the ‘universal dielectric response’ (UDR). The UDR is stable for RC networks containing 300 or more components. When the capacitor is 100nF，10nF，1nF and 100pF，respectively，the simulation results of normalized complex permittivity versus angular frequency for RC networks containing 540 components have been obtained. The relation between normalized complex permittivity and angular frequency for the RC networks containing 540 components in the ratios 4% R-96% C，7% R-93% C，10% R-90% C，16% R-84% C，33% R-67% C have been simulated. The results show that the UDR in heterogeneous materials can be modelled and simulated by 3-D RC networks，and has non-Debye nature.