一维全息光子晶体的带隙结构研究

Study of Band-structure of One-dimension Photonic Crystal

对一维全息底片运用光子晶体的概念,利用平面波展开法和传输矩阵法,数值计算了介电常数余弦调制的一维全息光子晶体结构的带隙,主要针对全息记录材料为重铬酸盐明胶时设置了计算用参数,计算结果表明对于折射率周期性渐变的一维全息晶体结构同样具有一般光子晶体的带隙,进而研究了带隙的特点。发现禁带宽度随着所使用的记录介质折射率的增加而减小,随着介质折射率调制的增加而增加;带的位置随着介质折射率的增加而移向低频,随着介质周期长度的增加移向低频,折射率调制的改变基本不影响禁带位置。

In this paper, the band-gap of and transfer matrix method, at the same 1 D photonic crystal is calculated by plane-wave expansion method time the concept of photonic crystal is used. In allusion to the dichromated gelatin, whose refractive index changes as cosine function, band-gaps exist in it, and how the gap changed is also studied. The width of the gap increases with the modulate depth increasing and decrease with the index increasinges. The position of the gap moves to low frequency as the index increases or the length of the period increase. The change of the modulate depth doesn＇t influence the position of the gap.