|Table of Contents|

Analyzing Gyroelectric Photonic Crystal Waveguides by Dirichlet-to-Neumann Maps(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2023年03期
Page:
12-19
Research Field:
数学
Publishing date:

Info

Title:
Analyzing Gyroelectric Photonic Crystal Waveguides by Dirichlet-to-Neumann Maps
Author(s):
Li Zheng; Hu Zhen
(College of Science,Hohai University,Nanjing 211100,China)
Keywords:
gyroelectric photonic crystal waveguides;  numerical methods;  eigenvalue problems;  Dirichlet-to-Neumann(DtN)maps
PACS:
O242
DOI:
10.3969/j.issn.1001-4616.2023.03.003
Abstract:
In this paper,we extend the Dirichlet-to-Neumann(DtN)map method to analyze two-dimensional gyroelectric photonic crystal(GPhC)waveguides. Based on DtN maps of GPhC unit cells,the DtN map of a supercell can be constructed. Then a linear eigenvalue problem is established on the boundaries of a supercell. Since we avoid discretizing inside the computational domain and only need to discretize on boundaries of unit cells,the matrices obtained in this method are relatively small. Numerical examples are used to illustrate the effectiveness of the proposed method.

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Last Update: 2023-09-15