中文摘要：

根据几何光学中的费马原理和完善成像原理研究了光线经过正负折射率界面时的传播特性，推导了单负折射率完善成像的曲面方程，讨论了单块负折射率透镜成像特性的一些缺陷及改进方案，依此指出了最短时间原理的适用范围的局限性和利用左手性介质制作光学器件的优越性，为进一步研究左手性介质的光学特性和相关光学器件设计提供了理论基础．

英文摘要：

Properties of light propagating are studied at the interface between right-handed material （RHM） and left-handed material （LHM） according to Fermat＇s principle, and the least- time principle is demonstrated unsuitable for the case anymore. The shape equations of single LHM refractive surface are derived on basis of perfect imaging condition. Defects of a LHM slab lens are also pointed out with an improved compound lens is recommended intentionally.