Martínez L, García-Martín A, Postigo P
Opt Express. 2004 Nov 15;12(23):5684-9. doi: 10.1364/opex.12.005684.
This study investigates the dispersion relation of two dimensional photonic crystals conformed in a hybrid triangular-graphite configuration. This lattice includes, as limiting cases, two major well-known structures, the triangular and the graphite lattices. The analysis has been carried out by using preconditioned block-iterative algorithms for computing eigenstates of Maxwell's equations for periodic dielectric systems, using a plane-wave basis. We present the evolution of the so-called gap maps as a function of the radii of the structures. We conclude that a number of gaps exist for both TM and TE polarizations. We also predict the appearance of sizeable complete band gaps for structures the can be achieved using present fabrication capabilities.
本研究调查了呈混合三角 - 石墨构型的二维光子晶体的色散关系。作为极限情况，这种晶格包含两种主要的著名结构，即三角晶格和石墨晶格。分析是通过使用预处理块迭代算法来进行的，该算法用于计算周期性介电系统麦克斯韦方程组的本征态，采用平面波基。我们展示了所谓的带隙图随结构半径的变化情况。我们得出结论，对于TM和TE偏振都存在多个带隙。我们还预测了使用当前制造能力能够实现的结构会出现相当大的完全带隙。
