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在考虑材料色散的条件下,对含左手材料的四层平面波导的TM振荡模进行了分析。首先利用Maxwell方程组得到了两类TM振荡模的色散方程。基于左手材料实验模型,画出了相关的色散曲线。通过对这些色散曲线的分析,得到了该波导中TM振荡模的色散特性。此外,还计算了该波导中TM振荡模的归一化功率流,发现第一类TM基模的群速和它的归一化功率流方向相反;第一类TM振荡模的归一化功率流恒大于零;而第二类TM振荡模的归一化功率流可以大于零、小于零或等于零。正的归一化功率流则说明能量向前传输;负的归一化功率流则说明能量向后传输;而归一化功率流等于零则说明能量被储存在平面波导中,这为设计新型光开关、光传感器件提供了理论基础。
The TM oscillation mode of the four-layer planar waveguide with left-handed material is analyzed considering the material dispersion. First, the dispersion equations of two types of TM oscillation modes are obtained by Maxwell’s equations. Based on the left-handed material experimental model, the relevant dispersion curve is drawn. By analyzing these chromatic dispersion curves, the dispersion characteristics of TM oscillation modes in this waveguide are obtained. In addition, the normalized power flow of the TM oscillation mode in the waveguide is also calculated. The group velocity of the TM fundamental modes of the first type is opposite to the normalized power flow direction of the TM modes. The normalized power of the first type of TM oscillation modes The flow constant is greater than zero; and the normalized power flow for the second type of TM oscillation modes can be greater than zero, less than zero, or equal to zero. The normalized normalized power flow shows that the energy is transmitted forward, the negative normalized power flow shows that energy is transmitted backward, and the normalized power flow equal to zero indicates that the energy is stored in the planar waveguide, Switches, optical sensors provide a theoretical basis.