用于带通滤波器设计的二维周期三角形晶格光子带隙计算

S. Mukherjee, A. Deyasi, A. Roy, Subhro Ghosal
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引用次数: 1

摘要

在TE模式下,二维三角形光子晶体形成了完整的光子带隙。采用平面波展开法求解麦克斯韦方程组,在适当的边界条件下得到TE和TM模态的本征方程。结构是通过在三角形晶格中插入圆柱棒来实现的。结果表明,带隙和中频的大小与两种材料的折射率差有关,也与晶格填充因子有关。结果与矩形晶格的结果进行了比较,表明三角形几何结构能更好地控制性质的可调性。仿真结果对光子集成电路中光子带通滤波器的设计具有重要的指导意义。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Computation of photonic bandgap in two-dimensional periodic triangular lattice for bandpass filter design
Complete photonic bandgap is formed in two-dimensional photonic crystal with triangular geometry under TE mode of propagation. Maxwell's equations are solved using plane wave expansion method and eigen equations for TE and TM modes are obtained using appropriate boundary conditions. Structure is realized by inserting cylindrical rods in triangular lattice. Results reveal that magnitude of bandgap and mid-band frequency depends on refractive index difference of the two materials, and also on lattice filling factor. Result is compared with that obtained for rectangular lattice, and better control on tunability of the properties is exhibited by triangular geometry. Simulated findings will play key role in designing photonic bandpass filter for photonic integrated circuit.
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