左手材料阶跃型光纤的模场特性

Characteristics of Modes in Fiber Including Left-handed Material

从Maxwell方程组出发,讨论纤芯为左手材料,包层为右手材料阶跃型光纤,推导了矢量解的场方程.经过数学计算,求得了左手材料阶跃型光纤矢量解的特征方程.根据矢量模的分类,找到了TE模、TM模、HE模和EH模的特征方程.根据各模的特征方程,并且与右手材料光纤相关的特征方程,在靠近截止和远离截止两种情况下进行了比较,得到了左手材料光纤的某些奇异特性.

A step-index optical fiber has been discussed with left-handed material as the core, and righthanded material as the cladding by using Maxwell＇s equations. An equation of electromagnetic fields is obtained. Through complex procedure, a characteristic equation of the rigorous solution is obtained. According to classification of vector modes, eigenvalue equations about TE modes, TM modes, EH modes and HE modes are deduced. By using those equations and comparison with that of right-handed material fiber, some novel characteristics of the left-handed material fiber near cutoff and far from cutoff are gained respectively.