基于Dirichlet-to-Neumann映射计算太赫兹频段旋电光子晶体带隙结构

Computing Bandgap Structures of Gyroelectric Photonic Crystals in Terahertz Band Based on Dirichlet-to-Neumann Map

用扩展Dirichlet-to-Neumann(DtN)映射方法计算太赫兹频段二维旋电光子晶体的带隙结构,由于DtN映射方法仅需在单元晶格的边界上进行离散,避免在其内部离散,因此减少了未知数的个数,使计算速度大幅度加快.首先,构造旋电光子晶体单元晶格的DtN映射;其次,将光子晶体的带隙结构问题转化为矩阵的特征值问题进行求解;最后,数值模拟验证用DtN映射方法计算旋电光子晶体带隙结构的有效性.

We used the extended Dirichlet-to-Neumann(DtN)map method to calculate the bandgap structures of two-dimensional gyroelectirc photonic crystals in terahertz band.Because the DtN map method only needed to discretize on the boundaries of the cell lattice and avoided discretization in its interior,so the number of discretization points was reduced,which made the calculation much faster.Firstly,the DtN map of a unit cell of gyroelectirc photonic crystals was constructed.Secondly,the bandgap structrue of photonic crystal was transformed into the eigenvalue problem of matrix.Finally,numerical simulation verified the effectiveness of using DtN map method to calculate the bandgap structure of gyroelectric photonic crystals.