含左手材料的一维“啁啾”光子晶体的偏振特性

Polarization Properties of 1-D "Chirped" Photonic Crystals Combining Left-handed Materials

把"啁啾"函数引入含左手材料的一维光子晶体中,且左手材料的介电常数和磁导率采用Lossy Dryde model,利用传输矩阵法研究了其透射谱。结果表明:在"啁啾"函数对材料几何厚度调制较小时,该光子晶体有完整的禁带,随着调制的加强,禁带宽度增加,但底部逐步抬高。在相同的调制下,磁、电等离子体频率的比值越大,禁带宽度越宽。入射角增加,TE模的禁带宽度不变而TM模的禁带宽度变窄,TE模和TM模均产生了角度隙,此角度隙的宽度随入射角增加而变宽,且TM模的变化大于TE模的。周期数N变化时,角度隙基本不变。nR的变化对禁带和角度隙的位置没有影响,但nR越小,禁带底部越高且圆,角度隙中透射峰峰值越大。

The ＂chirp＂ function was induced to the 1-D photonic crystal combining left-handed materials,whose permittivity and permeability is Lossy Dryde model,the transmission spectrum of the 1-D photonic crystal was investigated using the transfer matrix method.The results indicated that the photonic crystals has complete band gap,when geometry thickness of the material is not much modulated by the ＂chirp＂ function,as the modulation enhancing,the width of band gap increased,and the bottom of that raised gradually,In the same modulation,the magnetic,electric plasma frequency ratio became greater,the width of band gap became wider.when incidence angle increases,the width of band gap of TE mode unchanged,but one of TM mode narrowed,and both the TE mode and TM mode generate angle gap,the width of angle gap widen as the incidence angle increasing,and the change of TM mode is larger than TE mode.When the number of periods N changes,the angle gap will remain unchanged.The value of nR don＇ t effect on the position of the angle gap and the band gap,the smaller nR,the higher and the more round the bottom of the band gap,the greater the peak value of the transmission peak in the angle gap.