云南师范大学学报（自然科学版）2017，Vol.37Issue(4)：44-53,10.DOI:10.7699/j.ynnu.ns-2017-052
二维光子晶体波导中慢光的Dirichlet-to-Neumann映射方法计算
Computing Slow Light in Two Dimensional Photonic Crystal Waveguide by Dirichlet-to-Neumann Map Method
摘要
Abstract
In this paper,we use the Dirichlet-to-Neumann(DtN) map method to compute the slow light of two dimensional(2D) single line defect (W1) photonic crystal waveguide (PhCW),where the W1 PhCW is formed by removing one row of air holes of 2D triangular lattice photonic crystal constructed on silicon slab.By using the DtN map of a supercell,the Bloch propagation mode is calculated as a small linear eigenvalue problem on two boundaries of the supercell,where the DtN map of a supercell is constructed by the DtN map of hexagon unit cells and the eigenvalue is a function of the Bloch wave vector.The DtN map of a unit cell is an operator that maps the wave field on the boundary of the unit cell to its normal derivatives.Using the DtN map of a unit cell,we can avoid the discretization inside the unit cell and only calculate on the boundary.This gives rise to a significant reduction in the total number of unknowns.Even if the material is dispersive,we can also obtain a small linear eigenvalue problem.Finally,we use numerical examples to verify the effectiveness of the method.关键词
慢光/Dirichlet-to-Neumann(DtN)映射/二维单线缺陷光子晶体波导管Key words
Slow light/Dirichlet-to-Neumann(DtN) map/2D W1 PhCW分类
数理科学引用本文复制引用
朱阿敏,胡真..二维光子晶体波导中慢光的Dirichlet-to-Neumann映射方法计算[J].云南师范大学学报（自然科学版）,2017,37(4):44-53,10.基金项目
中央高校基本科研业务费专项资金资助项目(2015B19614). （2015B19614）
