论文标题
变形 - 光子晶体的有效野外理论：地球学方程的精确解
Effective Field Theory of Distorted-Photonic Crystal: Exact Solutions of the Geodesics Equation
论文作者
论文摘要
光子晶体是电介质材料的周期性结构，可以控制培养基中的光传播，因为它们的光子散布是由井井有条的晶格布置领导的。在这里，我们研究了扭曲的光子晶体（D-PC）中光传播的行为，该晶体具有晶格点位置的逐渐空间变形，作为差异几何形状的有效田间理论。为了研究D-PC中光射线的轨迹，我们得出了从最小作用的原理给出的地理学方程，并根据晶状体位置变形定义了度量张量。地球学方程表明，只需引入晶格位置失真，就可以弯曲轨迹。在简单失真的情况下，我们显示了轨迹的一些精确解，并且这些结果与有限差差时域（FDTD）模拟的结果非常吻合。
Photonic crystals are periodic structure of dielectric materials that can control light propagations in the media because of their photonic-dispersion led by the well-ordered lattice-points arrangements. We here study the behavior of light propagation in distorted-photonic crystals (D-PCs), which possess the gradual spatial distortion of lattice-points positions, as the effective field theory in terms of the differential geometry. In order to investigate the trajectory of light ray in the D-PC, we derive the geodesics equation that is given from the principle of least action, with defining the metric tensor in terms of the lattice-positions distortion. The geodesics equation indicates that the trajectory can be bent by just introducing lattice-positions distortion. We show some exact solutions of the trajectory in the case of simple distortion and that those results well agree with the results of the Finite Difference Time Domain (FDTD) simulations.
