對稱介電石墨烯結構之光傳輸特性

Light Propagation in Symmetric Dielectric-Graphene Structures

蔡煊婷(Husuan-Ting Tsai)

指導教授 ： 薛文証

國立臺灣大學/工學院/工程科學及海洋工程學研究所/碩士(2015年)

https://doi.org/10.6342/NTU.2015.11033

摘要

本論文研究對稱介電石墨烯結構之光傳輸特性，首先簡單探討石墨烯，第二章介紹馬克斯威爾方程式、赫姆霍茲方程式等電磁波的理論。第三章介紹本研究論文所使用的傳遞理論，第四章模擬三種不同結構參數的對稱介電石墨烯結構，包含對稱雙介電質結構、對稱單介電石墨烯結構及對稱雙介電石墨烯結構，模擬特性包含其反射率、穿透率、吸收率、相移、群延遲及群速度，研究結果顯示在對稱結構當中，其反射率、穿透率、吸收率、相移、群延遲及群速度會隨著空腔相位及週期層數變化，不同結構的變化趨勢不同，而藉由調整空腔相位、週期層數及介電係數，可以控制其結構的反射率、穿透率吸收率、相移、群延遲及群速度來製成需要的光學元件。

關鍵字

石墨烯 ； 對稱結構 ； 能帶結構 ； 群延遲

並列摘要

The main purpose of this thesis is to analyze the light propagation in symmetric dielectric-graphene structures. First, the optical properties and history of graphene are briefly introduced. Second, the theories about electromagnetic waves such as Maxwell’s equations and Helmoholtz equation are analyzed in detail. Third, the author analyzes the light propagations in symmetric structures using transfer-matrix method. Finally, by analyzing the reflection, transmission, absorption, phase-shift and group-delay of the symmetric structures, it turns out that the reflection, transmission, absorption, phase shift ,group delay and group velocity are sensitive not only to the thickness of cavity but also to the period of structure. Based on this result, by modulating the thickness of cavity and the period of structures, the reflection, transmission and absorption can be controlled, which is beneficial for the production devices.

並列關鍵字

graphene ； symmetric structures ； bandstructure ； interference ； group delay

參考文獻

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