石墨烯以其独特的结构、原子尺度的体积、超高的导电率和灵敏度，以及在纳米尺度下表现出的特有性质，成为国际研究热点。当前人们对石墨烯材料的力学、热学和电学特性研究较多，但对其光学特性关注较少。本项目首次将石墨烯和表面等离激元结合起来，将石墨烯的研究延伸至光学领域,采用密度泛函理论来研究表明等离激元在石墨烯纳米带中的传输。指出光子晶体和石墨烯在晶格结构、周期性和能带上的相似性，借鉴光子晶体和表面等离激元的相关知识来设计石墨烯波导。 研究内容分为三个层次逐层递进地展开：首先，探讨spp在石墨烯波导表面得以存在的条件；其次，设计并分析SPP在石墨烯波导表面的传输现象；最后，对SPP在石墨烯表面的传输性能进行优化和提高。由于波导是构成光学器件的基础，本项目一旦获得成功，各式各样的基于石墨烯材料的光器件将纷纷涌现，促进石墨烯表面等离激元学这一学科繁荣发展。

Graphene has became an international research hotspot by its awsome properties, including the atomic-scale height, extremely high conductivity and sensitivity,as well as many other unique features from the nanometer scale. At present, lots of attentions have been paid to the mechanics,thermal and electrical properties of the graphene. Nevertheless, no attention has been paid to its optical properties. In this proposal, we firstly extend the graphene research to the optical domain by combine graphene and surface plasmon together. We point out the similarity between Photonic Crystal and Graphene in lattice structure, period and band structure.With the knowledge of photonic crystal waveguide and plasmonic waveguide, one can design photonic waveguide using graphene nanoribbons. Using the density functional theory, we study the surface plasmon propagation in graphene nanoribbons. The study can be divided into three parts: First, the existence conditions of the surface plasmon on the graphene waveguide are explored;Secondly, we design and analyze transport phenomena of surface plasmon on the surface of graphene waveguide; Finally, the transmission performances of graphene surface plasmon have been optimized and improved. Because waveguide is the foundation of various optical devices, the success of this project will lead to a wide range applications of optical devices based on graphene, which in turn to promote the boom of graphene plasmonics.