介电系数对等离子体光子晶体色散的影响  

Influence on dielectric constant to the dispersive of plasma photonic crystals

作　　者：蒋文娟[1] 刘经天[2] 郝东山[1] 

机构地区：[1]郑州华信学院信息工程系,河南新郑451100 [2]中州大学信息工程学院,河南郑州451150

出　　处：《光学技术》2014年第2期176-179,共4页Optical Technique

基　　金：河南省基础与前沿技术研究资助项目(092300410227)

摘　　要：应用多光子非线性Compton散射模型,研究了Compton散射下介电系数对等离子体光子晶体色散的影响,考虑Compton散射对介电系数的影响,给出了一维等离子体光子晶体色散关系式,并进行了数值模拟。结果表明:与散射前相比,当介电系数ε=1时,不出现禁带;当ε<3时,随着ε的增大,一级禁带宽先缓慢增大,再到最大值,后缓慢减小,二级禁带宽先缓慢增大后趋于饱和值0.69,较散射前减小了0.03,两禁带ε临界值为5.4,较散射前减小了0.6;当ε<5.4时,一级禁带宽明显大于二级,较散射前减小了0.04;当ε>5.4时,二级禁带宽大于一级,二者差值比散射前明显减小;截止频率和二级禁带边缘频率均向低频方向较快移动,且二级禁带边缘频率变化幅度明显大于截止频率。By using the model of the multi-photon nonlinear Compton scattering, the influences of Compton scattering on the dielectric constant to the dispersive of one-dimensional plasma photonic crystals are studied, the dispersive relations of the one- dimensional plasma photonic crystals are given out under the influence on Compton scattering to dielectric constant, and the dispersive relations are simulated by using numbers. The results show that than before the Compton scattering, when the dielectric constant ε = 1, the band gap can not be taken place; when ε〈3, the first band gap width is slowly increased, then it is come a maximum number, and finally it is slowly decreased; the second band gap width is firstly slowly increased, then it is come saturation number 0. 69, 0. 03 is decreased than before the scattering. The critical numberεof the two band gaps is 5.4, and 0. 6 is decreased than before the scattering. When ε〈5. 4, the first band gap width is clearly bigger than the second band gap width, and 0. 04 is decreased than before the scattering; when ε〉5.4, the second band gap width is bigger than the first band gap width,and their difference number is clearly decreased than before the scattering; tile cut-off frequency aad the boundary frequetmy ot7 the second hand gap are faster moved to low froqucitcy direction, and the changed extent of the boundary frequency of the second band gap is the clear big than the cut-off frequency.

关 键 词：等离子体光子晶体 介电系数 色散 禁带 COMPTON散射 

分 类 号：O539[理学—等离子体物理]