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arXiv · 2312.06671

Generalized Finite Differences Method Applied to Finite Photonic Crystal

Santiago Bustamante·Esteban Marulanda·Jorge Mahecha·Herbert Vinck
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Abstract

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.

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Santiago Bustamante, Esteban Marulanda, Jorge Mahecha, Herbert Vinck. 2023-12-06. Generalized Finite Differences Method Applied to Finite Photonic Crystal. https://doi.org/10.1080/09500340.2025.2502110

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