针对异向介质一般表现为各向异性的特点,分析了异向介质的传输模式及传输条件。通过将k矢量坐标轴与物理空间坐标轴相重合,并引入传输角度参量,建立了异向介质的色散方程。以传输角度为条件将异向介质分为4种类型:①kz-cutoff类型;②kx-cutoff类型;③Never-cutoff类型;④Always cutoff类型,这使得异向介质的电磁波传输模式更具直观效果。利用k曲线对各类型异向介质的折射与反射特性进行描述,并采用色散时域有限差分法进行仿真验证,数值结果与理论分析取得良好一致。
Aimed at the anisotropic characteristic of metamaterials,the propagation modes and the propagation conditions of metamaterials are analyzed.Through superposing the vector coordinate axis and the physical space coordinate axis,and introducing the parameter of the wave propagation angle,the dispersion relation of biaxial anisotropic metamaterial is derived.Based on the wave propagation angle,four classes of medium are identified as:①kz-cutoff type;②kx-cutoff type;③Never-cutoff type;④Always-cutoff type.This classification makes the propagation mode of electromagnetic wave take on more intuitionistic effect.The characteristics of refraction and reflection of metamaterials are analyzed by the wave vector curve,simulated and verified by using the dispersive finite difference time domain method.The numerical results well conform to the theoretic analysis.