中文摘要：

本文以一维周期结构为例，对增益与慢光之间的影响做了更进一步的深入研究．研究发现，增益对有限长和无限长一维周期结构中的慢光效应具有不同的影响．对无限长结构，增益的加入会减弱结构的慢光效应．而对于实际应用中存在的有限长周期结构，增益补偿在一定情况下会增强其慢光效应．文章的研究对促进周期结构作为慢光器件尤其是作为可调谐慢光器件在高密度光子集成中的广泛应用具有积极意义．

英文摘要：

Recently, studies by Jure Grgic et al. （Phys. Rev. Lett. 108 183903, 2012） show that in a periodic structure, the large gain can be eventually turned to decreasing the effect of slow light on the structure. In this paper, one-dimensional periodic structure are taken as an instance, and the influences of gain on slow light are further investigated. It is shown that different influences can exhibit in the finite-length and infinite-length one-dimensional periodic structure. For the infinite-length structure, the addition of gain can decrease the slow light effect, whereas for finite-lengh structure, the compensation of gain can, to a certain degree, increase the slow light effect. Our results verify a feasible way in the application of such a periodic structure, as a slow-light device, and especially as the tunable slow-light devices, in the high-density integration of optical circuits.