J4 ›› 2018, Vol. 35 ›› Issue (2): 191-196.

• Quantum Optics • Previous Articles     Next Articles

Band gap structure of two-dimensional new-type function photonic crystals

LIU Xiaojing1,ZHANG Siqi2, LIANG Yu1,MA Ji1, LI Hong3,MENG Xiangdong1*,WU Yiheng4   

  1. 1 Institute of Physics, Jilin Normal University, Siping 136000, China; 2 Institute of Physics, Jilin University, Changchun 136012, China; 3 Institute of Physics, Northeast Normal University, Changchun 136012, China; 4 School of Physics and Electronic Engineering, Anqing Normal University, Anqing 246133, China
  • Received:2016-09-26 Revised:2016-11-01 Published:2018-03-28 Online:2018-03-30

Abstract: The band gap structure of two-dimensional function photonic crystals is investigated with plane wave expansion method, and the refractive index of dielectric cylinder is space coordinate function. Band gap structure of TE and TM waves is analyzed numerically, and which is compared with two-dimensional conventional photonic crystals (the medium columns refractive index are constants). Influences of medium column radius , function coefficient and parameter on band gap structure of two-dimensional function photonic crystals are investigated. Results show that the band gap adjustment of two-dimensional function photonic crystals can be realize by changing the values of , and . There are absolute band gaps and semi-Dirac points in two-dimensional function photonic crystals. The conclusions provide a new theoretical basis for the design of optics devices.

Key words: two-dimensional function photonic crystals; band gap structure; absolute band gap; semi-Dirac points