各向异性色散左手材料平面波导的导模特性

对芯层为左手材料而内外包层都是普通材料的非对称三层平面波导TE振荡模进行了分析.在考虑左手材料色散和各向异性的情况下,从Maxwell方程组出发,得到了TE振荡模的色散方程和功率流分布,并且画出了相应的色散曲线.我们找到了8个TE振荡模,而且包括基模.随着模阶数的增加,模色散曲线右移,功率流曲线下移.但是,随着波导厚度的增加,色散曲线左移,功率流曲线上移.此外,TE振荡模有反常色散特性和负的群速,这正揭示了左手材料的本质特性.

Oscillating Guided Modes in a Slab Waveguide with Anisotropy Left-handed Material

An asymmetric three-layer slab waveguide with a core of the left-handed material and sandwiched by two conventional materials is investigated. Considering the dispersive and an isotropic properties of the left-handed material, the dispersion equation and power fluxes for TE oscillating guided modes are obtained and mode dispersion curves are plotted,respectively, through Maxuell′s equations. Eight TE oscillating guided modes are found, including the fundamental mode. With the increase of mode number, mode dispersion curves move to right and the power flux curves move to right bottom. However, with the increase of waveguide thickness, mode dispersion curves move to left and mode power flux curves move up. Besides, all modes have abnormal dispersion properties and employ negative group velocities which reveals the special properties of the left-handed materials.