中国物理B ›› 2010, Vol. 19 ›› Issue (3): 34210-034210.doi: 10.1088/1674-1056/19/3/034210

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Dispersion characteristics of two-dimensional unmagnetized dielectric plasma photonic crystal

李大治1, 亓丽梅2, 杨梓强2, 兰峰2, 高喜2   

  1. (1)Institute for Laser Technology, 2-6} Yamada-Oka, suita, Osaka 565-0871, Japan; (2)Institute of High Energy Electronics, University of Electronic Science and Technology of China, Chengdu 610054, China
  • 收稿日期:2009-03-09 修回日期:2009-06-08 出版日期:2010-03-15 发布日期:2010-03-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos.~60571020 and 10975031).

Dispersion characteristics of two-dimensional unmagnetized dielectric plasma photonic crystal

Qi Li-Mei(亓丽梅)a)†, Yang Zi-Qiang(杨梓强) a), Lan Feng(兰峰)a), Gao Xi(高喜)a), and Li Da-Zhi(李大治) b)   

  1. a Institute of High Energy Electronics, University of Electronic Science and Technology of China, Chengdu 610054, China; b Institute for Laser Technology, 2-6} Yamada-Oka, suita, Osaka 565-0871, Japan
  • Received:2009-03-09 Revised:2009-06-08 Online:2010-03-15 Published:2010-03-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos.~60571020 and 10975031).

摘要: This paper studies dispersion characteristics of the transverse magnetic (TM) mode for two-dimensional unmagnetized dielectric plasma photonic crystal by a modified plane wave method. First, the cutoff behaviour is made clear by using the Maxwell--Garnett effective medium theory, and the influences of dielectric filling factor and dielectric constant on effective plasma frequency are analysed. Moreover, the occurence of large gaps in dielectric plasma photonic crystal is demonstrated by comparing the skin depth with the lattice constant, and the influence of plasma frequency on the first three gaps is also studied. Finally, by using the particle-in-cell simulation method, a transmission curve in the \Gamma -X direction is obtained in dielectric plasma photonic crystal, which is in accordance with the dispersion curves calculated by the modified plane wave method, and the large gap between the transmission points of 27~GHz and 47~GHz is explained by comparing the electric field patterns in particle-in-cell simulation.

Abstract: This paper studies dispersion characteristics of the transverse magnetic (TM) mode for two-dimensional unmagnetized dielectric plasma photonic crystal by a modified plane wave method. First, the cutoff behaviour is made clear by using the Maxwell--Garnett effective medium theory, and the influences of dielectric filling factor and dielectric constant on effective plasma frequency are analysed. Moreover, the occurence of large gaps in dielectric plasma photonic crystal is demonstrated by comparing the skin depth with the lattice constant, and the influence of plasma frequency on the first three gaps is also studied. Finally, by using the particle-in-cell simulation method, a transmission curve in the $\varGamma$ -X direction is obtained in dielectric plasma photonic crystal, which is in accordance with the dispersion curves calculated by the modified plane wave method, and the large gap between the transmission points of 27 GHz and 47 GHz is explained by comparing the electric field patterns in particle-in-cell simulation.

Key words: plasma photonic crystal, dispersion, plane wave method, particle-in-cell simulation

中图分类号:  (Dusty or complex plasmas; plasma crystals)

  • 52.27.Lw
42.70.Qs (Photonic bandgap materials) 52.25.Mq (Dielectric properties) 52.65.Rr (Particle-in-cell method)