Electromagnetic study of photonic band gaps
Electromagnetic study of photonic band gaps
复制标题
光子带隙的电磁研究
DOI：
--
复制
发表时间：
1994
期刊：
影响因子：
--
通讯作者：
D. Maystre
中科院分区：
文献类型：
--
作者：
D. Maystre
利用严格的衍射光栅积分理论，我们研究了由无损介质材料制成的二维光子晶体的性质，该晶体由无限延伸的有限介质网格堆叠表示。在研究了晶体厚度的影响后，我们分析了填充率、介电指数、晶体几何形状、棒形、极化对间隙特性的影响，最后进行了对比反演。通过改变入射角来检验该多网格模型的有效性，入射角对模型的有效性有显著影响。从这些结果中出现了一些令人惊讶的特性，特别是根据入射波是s偏振还是p偏振，对比反演具有相反的效果。最后，我们给出了一个非常简单的经验法则，使人们能够很精确地预测缝隙中心的位置。
Using a rigorous integral theory of diffraction gratings, we investigate the properties of two-dimensional photonic crystals made with lossless dielectric materials using a model where the crystal is represented by a finite stack of dielectric grids of infinite extension. After studying the influence of the thickness of the crystal, we analyse the variations of the properties of the gap with the filling ratio, the index of dielectric, the geometry of the crystal, the shape of the rods, the polarization and finally with a contrast inversion. The validity of this multi-grid model is checked by varying the angle of incidence, which appears to have a significant influence. Some surprising properties emerge from these results, in particular the fact that contrast inversion has opposite effects according to whether the incident wave is s or p polarized. Finally, we give a very simple empirical rule that enables one to predict with a good precision the location of the centres of the gaps.