对芯层为左手材料而内外包层都是普通材料的对称五层平面波导进行了探讨.得到了两类TE振荡模的色散方程，且在考虑材料色散的条件下，画出了相关模式的色散曲线.随着模阶数的增加，模色散曲线左移，它们的截止频率变小.其次，发现零阶TE振荡模的存在.除此以外，TE振荡模有三类色散特性：正常色散；反常色散；双模简并.

A symmetric five-layer slab waveguide with a core of left-handed material and surrounded by four normal dielectrics is investigated.Under the consideration of material dispersion,the dispersion equations for the TE oscillating guided modes are obtained and mode dispersion curves are plotted.It is found that zero-order TE oscillating guided mode is exist.With the increase of mode number,mode dispersion curves move to left,and their cutoff frequencies decrease.Besides,some modes have three dispersion properties: normal dispersion,abnormal dispersion and mode double-degeneracy.