波导法测量材料的电容率和磁导率  

Waveguide method for measuring the capacitivity and permeability of materials

作　　者：付全红[1,2] 庞述先[1,2] 樊元成 张富利[1,2] FU Quan-hong;PANG Shu-xian;FAN Yuancheng;ZHANG Fu-li(Department of Applied Physics, School of Natural and Applied Sciences,Northwestern Polytechnical University, Xi'an, 710072, China;Center for Teaching Experiments in Physics,Northwestern Polytechnical University, Xi'an, 710072, China)

机构地区：[1]西北工业大学西北工业大学理学院应用物理系,陕西西安710129 [2]西北工业大学物理实验教学中心,陕西西安710129

出　　处：《物理实验》2019年第8期22-25,30,共5页Physics Experimentation

基　　金：陕西省自然科学基础研究计划资助项目(No.2017JM6094);国家自然科学基金(No.61771402)

摘　　要：通过求解电磁场的边值问题,推导出矩形波导管中,介质板的反射系数r和透射系数t,同时还推导出由介质板的r和t确定材料的ε和μ的公式.与传统的“自由空间法”相比,“波导法”测量材料的ε和μ具有实验操作简便、所需样品面积小、测量误差小等优势.By solving the boundary value problem of electromagnetic field, the reflection coefficient r and the transmission coefficient t of dielectric slab in rectangular waveguide were derived. At the same time, the formulas of determining the capacitivity ε and the permeability μ of materials from r and t of dielectric slab were also derived. Compared with the traditional free-space method, the waveguide method for measuring the capacitivity and permeability of materials had the advantages of experimental simplicity and convenience, small sample area, and little measurement error.

关 键 词：波导法 电容率 磁导率 反射系数 透射系数 

分 类 号：O441.4[理学—电磁学]