摘要
用多重散射法研究了二维光子晶体的结构参量对光子禁带特性的影响。发现光子晶体的晶格常数 (d)和组成晶体的介质柱的半径 (r)都能同样有效地改变光子禁带的位置 ,仅改变d时 ,填充系数 ρ降低时光子禁带区Ω向低频区移动 ,而仅改变r时 ,ρ增加时Ω向低频区移动。在较宽的参量范围内 ,Ω的中心频率单独随r增加而线性下降的速度是单独随d增加而线性下降的速度的 2倍。ρ取特定值时 ,Ω的相对宽度取极大值 ,其中 1次Ω只有 1个极大值 ,而 2次Ω存在 2个极大值 ,且 2次Ω极大值对应的 2个 ρ值中有一个刚好是 1次Ω极大值对应的ρ值的 2倍。
The influences of the structure parameters of a two-dimensional square photonic crystal on its photonic bandgap properties are investigated with the multiple-scattering method. It shows that the photonic bandgap region Ω can be effectively influenced by individually varying either the lattice constant d or the medium cylinder r. The Ω moves towards the low frequency region with the decrease of the filling factor when just d varies, but with the increase of the filling factor when just r varies. For a relatively wide range of operating parameters, the central frequency of the main Ω decreases linearly with the increase of r or d individually, but the decreasing speed with r is twice of that with d. There exists one maximum of the relative bandwidth for the main bandgap, but two maximums for the second bandgap. And the filling factor corresponding to one of the two maximums of the second bandgap is twice the value of that for the main bandgap.
出处
《光学学报》
EI
CAS
CSCD
北大核心
2004年第6期842-846,共5页
Acta Optica Sinica
基金
国家自然科学基金 (6 0 1770 30 )
深圳市科技局资助课题
关键词
光子晶体
光子禁带
结构参量
多重散射法
禁带位置
禁带宽度
photonic bandgap
influence of structure parameters
multiple-scattering method
bandgap center position
relative bandgap width