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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/21495
標題: | 具共振腔耦合微環之慢光特性 Slow Light in Coupled Microring Resonators with Cavities |
作者: | Guo-Cheng Lyu 呂國誠 |
指導教授: | 薛文証 |
關鍵字: | 耦合微環共振器,共振腔,Cantor, microring resonators,cavities,Cantor, |
出版年 : | 2019 |
學位: | 碩士 |
摘要: | 本論文主要研究具共振腔耦合微環共振器之慢光效應。利用轉移矩陣法計算出電磁波在共振器內的耦合及傳遞行為,並與準週期 Cantor 序列的雙耦合微環共振器做慢光頻譜上的比較。再觀察在不同結構參數設定下之穿透率、相位、群延遲、群速度與延遲頻寬乘積之變化。首先介紹有關微環內之波導與電磁波理論以及耦合微環共振器原理。並進一步推導串聯耦合微環之轉移矩陣以及有關慢光特性之公式。本文比較兩種結構中共振腔對耦合微環共振器之慢光效應影響。會先說明共振腔在耦合微環共振器中的共振條件,並討論改變不同參數設定後對慢光特性之影響。另一方面,分析準週期Cantor 序列中類似多共振腔的特性,並比
較類似多共振腔結構的差異性。研究結果顯示,在兩種結構下皆可以找到符合共振條件的完美穿透峰值,並且具共振腔耦合微環結構產生的共振峰值會發生在穿透頻譜之禁帶中心,比準週期 Cantor 結構有較佳的慢光特性。此特性結果可以應用在窄帶濾波器、光緩衝器、光感測儀器、光學增益器。 This thesis mainly studies slow light in coupled microring resonators with cavities. The transfer matrix method is used to simulate the coupling and transmission behavior of electromagnetic waves in resonators. Slow-spectral spectrum is compared with the double-coupled micro-ring resonators of the quasi-periodic Cantor sequence. The transmittance, phase shift, group delay, group velocity and delay bandwidth product under different structural parameters are also studied. Firstly, the theory of waveguide and electromagnetic wave in microrings and the principle of coupled microring resonators are introduced. The transfer matrix of the series coupled microrings and the formula of the slow light characteristics are further derived. This thesis compares the effects of cavities on the slow-light effects of coupled micro-ring resonators in two structures. The resonance conditions of the resonant cavity in the coupled micro-ring resonator will be explained first, and the influence of the different parameter settings on the slow light characteristics will be discussed. On the other hand, the characteristics of the multi-cavities in the quasi-periodic Cantor sequence are analyzed, and the differences of the multi-resonator structure are compared. The results show that the perfect penetration peaks satisfying the resonance conditions can be found under both structures, and the resonance peak generated by cavities will occur at the center of the forbidden band of the penetrating spectrum. It will also have better slow light characteristics compared with the quasi-periodic Cantor structure. The result of this feature can be applied to narrowband filters, optical buffers, optical sensors and optical enhancement. |
URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/21495 |
DOI: | 10.6342/NTU201901978 |
全文授權: | 未授權 |
顯示於系所單位: | 工程科學及海洋工程學系 |
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