Band gaps structure and semi-Dirac point of two-dimensional function photonic crystals  

作　　者：Si-Qi Zhang Jing-Bin Lu Yu Liang Ji Ma Hong Li Xue Li Xiao-Jing Liu Xiang-Yao Wu Xiang-Dong Meng 张斯淇;陆景彬;梁禺;马季;李宏;李雪;刘晓静;吴向尧;孟祥东(Institute of Physics,Jilin University;Institute of Physics,Jilin Normal University;Institute of Physics,Northeast Normal University)

机构地区：[1]Institute of Physics, Jilin University, Changchun 130012, China [2]Institute of Physics, Jilin Normal University, Siping 136000, China [3]Institute of Physics, Northeast Normal University, Changchun 130012, China

出　　处：《Chinese Physics B》2017年第2期242-249,共8页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundations of China(Grant No.61275047);the Research Project of Chinese Ministry of Education(Grant No.213009A);the Scientific and Technological Development Foundation of Jilin Province,China(Grant No.20130101031JC)

摘　　要：Two-dimensional function photonic crystals, in which the dielectric constants of medium columns are the functions of space coordinates , are proposed and studied numerically. The band gaps structures of the photonic crystals for TE and TM waves are different from the two-dimensional conventional photonic crystals. Some absolute band gaps and semiDirac points are found. When the medium column radius and the function form of the dielectric constant are modulated, the numbers, width, and position of band gaps are changed, and the semi-Dirac point can either occur or disappear. Therefore,the special band gaps structures and semi-Dirac points can be achieved through the modulation on the two-dimensional function photonic crystals. The results will provide a new design method of optical devices based on the two-dimensional function photonic crystals.Two-dimensional function photonic crystals, in which the dielectric constants of medium columns are the functions of space coordinates , are proposed and studied numerically. The band gaps structures of the photonic crystals for TE and TM waves are different from the two-dimensional conventional photonic crystals. Some absolute band gaps and semiDirac points are found. When the medium column radius and the function form of the dielectric constant are modulated, the numbers, width, and position of band gaps are changed, and the semi-Dirac point can either occur or disappear. Therefore,the special band gaps structures and semi-Dirac points can be achieved through the modulation on the two-dimensional function photonic crystals. The results will provide a new design method of optical devices based on the two-dimensional function photonic crystals.

关 键 词：two-dimensional photonic crystals function dielectric constants band gaps structures 

分 类 号：O734[理学—晶体学] O4-09