Generalized Finite Differences Method Applied to Finite Photonic Crystal

Autor: Bustamante, Santiago, Marulanda, Esteban, Mahecha, Jorge, Vinck, Herbert
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: We propose a Generalized Finite-Differences in the Frequency Domain method for the computation of photonic band structures of finite photonic crystals. Our approach is to discretize some fundamental domain instead of a single unit cell, such that boundary conditions of interest can be introduced into the eigenvalue problem. The validity and effectiveness of the proposed method are shown for the case of a one-dimensional photonic crystal embedded in an optical cavity. The limit from finite to infinite photonic crystals is reviewed in view of the proposed method.
Databáze: arXiv