面心立方3维光子晶体带隙数值研究

为了数值研究面心立方晶格球形散射体3维光子晶体能带结构,采用平面波展开方法分别计算了空气中的介质球与介质中的空气球在不同参量下的能带.结果表明,空气中的介质球不论选任何参量都不出现完全禁带,介质中的空气球在选取适当参量时能出现禁带,禁带宽度与适当空气球半径、适当基质介电常数的关系相似,禁带位置中心坐标与适当空气球半径、适当基质介电常数的关系相反.此结论推广和补充了相关文献的研究.

Numerical study on band gap structure in face centered cubic lattice of 3-D photonic crystal

The band gap structure of face-centered cubic lattice of 3-D photonic crystal with sphere scatter was studied with the plane wave expansion method.The energy bands of the air sphere in medium and the medium sphere in air with different parameters were calculated.The results obviously prove that the wholly band gap of air sphere in medium will never exist at any parameter,and the wholly band gap of medium sphere in air will exist when suitable parameters are chosen.The relation between the width of band gap and the air sphere ' s radius is similar to that of the substrate ' s dielectric constant,while the relation between the band gap ' s center position and the radius of air sphere is dissimilar to that of the dielectric constant of the substrate.The conclusion extends and renews the relative fields.