以時域有限差分法分析光子晶體波導中不同角度之彎曲線缺陷結構

Abstract

本研究在二維正方光子晶體中設計線缺陷結構，以形成光子晶體波導。透過時域有限差分法（Finite-Difference Time-Domain, FDTD）模擬電磁波在不同彎曲角度的線缺陷結構中的傳播行為，並計算其穿透率。我們利用時域電場強度變化與空間電場強度分布，探討光於光子晶體波導中的傳播特性。此外，針對各種波導結構，在能隙範圍內計算其穿透率表現。本研究旨在找出於不同彎曲角度下具較佳穿透率之光子晶體波導結構。在積體光學中，波導的彎曲損耗是一項重要課題，故期望藉由本模擬研究，深入了解不同彎曲角度對光傳播損耗的影響。

In this study, we designed line defect structures in a two-dimensional square photonic crystal to form photonic crystal waveguides. The Finite-Difference Time-Domain (FDTD) method was used to simulate the propagation of electromagnetic waves in waveguides with different bending angles and to calculate their transmittance. Temporal variations in electric field intensity and the spatial distribution of electric field intensity were analyzed to investigate the propagation characteristics of light within the waveguides. Additionally, we evaluated the transmittance performance within the photonic bandgap for each waveguide structure. The purpose of this simulation study is to identify photonic crystal waveguide designs with better transmittance under various bending angles. In integrated optics, bending loss is a critical issue; therefore, this study aims to provide insights into how different bending angles affect optical transmission loss.