左手介质矩形波导导模和表面模的场分布

Field Distribution of Guided Modes and Surface Guided Modes in Rectangular Waveguides with Left-Handed Materials

从麦克斯韦方程组出发,结合电磁场的边界条件,推导出介质矩形波导导模的一般色散方程。对普通介质矩形波导和左手介质矩形波导的导模场分布分别进行了数值模拟。通过对比两种介质矩形波导的导模场分布的模拟结果,发现左手介质矩形波导Ex22模的场分布比普通介质波导Ex00模的场更集中在波导中部。同时,根据处理普通介质矩形波导的Marcatili方法,类比得到左手介质矩形波导表面模的色散方程,并数值模拟了低阶模的场分布,结果表明,能量主要集中在波导的四个角区以及波导的边缘。

According to Maxwell equations and boundary conditions of electromagnetic field, the general dispersion equations are reduced for the guided modes in rectangular dielectric waveguides. The field distributions of the guided modes are numerically simulated for the waveguides with ordinary dielectric materials and the rectangular waveguides with left-handed materials （LHMs）, respectively. The simulation results show that field distribution of the E22^x mode is restricted mainly in the central part of waveguide with LHMs compared with that of E00^x mode of the waveguide with dielectric materials. Based on Marcatilt＇s method, the dispersion equation of surface guided modes in rectangular waveguides with LHMs is deduced, and the field distribution of lower-order modes is numerically simulated. The results show that energy of field mode is located mainly in the four angles and edges of waveguide with LHMs.