TE振荡模在含各向异性左手材料劈形平面波导中的传输

Propagation of TE Oscillating Guided Modes in a Taper Slab Waveguide with Anisotropic Metamaterials

摘要:

研究了含各向异性左手材料的劈形平面波导TE振荡模的传输特性。 首先，从麦克斯韦方程组出发，得到该模的色散方程、反射系数方程、传输系数方程以及功率损耗方程。然后，根据这些方程画出了相关特性曲线并对这些曲线进行了仔细分析，研究发现：(1)当模阶数m=0,1,2时，TE模的有效折射率具有较大的值，且随着波导长度的增加而快速减小；(2)TE0模具有超大的反射系数，最大值接近0.967；(3)TE0模传输系数总是小于等于1.2×10-3；(4)当劈形波导斜率k=0.01时，其功率损耗大于等于0.998，而且，当频率为5.0GHz时，功率损耗仍大于等于0.98。

Abstract:

The propagation properties of the TE oscillating guided modes in a taper slab waveguide with anisotropic metamaterials were investigated. Through Maxwell equations, the dispersive, reflection coefficient, transmission coefficient and power loss equations were obtained. Then, some characteristic curves were plotted and studied in detail. It is found that, firstly, for different mode number (i.e., m=0，1，2), the effective refractive index employs larger values and decreases rapidly at first as waveguide length increases; secondly, the maximum of the reflection coefficient is near 0.967; thirdly, extra small transmission coefficient |ct|2≤1.2×10-3; fourthly, as the slope k is 0.01, for different frequency f, the power loss Δp/p≥0.998, but, for different k, as f= 5.0GHz, Δp/p≥0.98.