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博碩士論文 etd-0621116-155332 詳細資訊
Title page for etd-0621116-155332
論文名稱
Title
非線性引起之對稱性破壞於非線性波導耦合器之研究
Symmetry breaking nonlinearity induced asymmetric coupling of waveguide and its applications
系所名稱
Department
畢業學年期
Year, semester
語文別
Language
學位類別
Degree
頁數
Number of pages
66
研究生
Author
指導教授
Advisor
召集委員
Convenor
口試委員
Advisory Committee
口試日期
Date of Exam
2016-06-24
繳交日期
Date of Submission
2016-07-27
關鍵字
Keywords
克爾效應、非線性、對稱性破壞、五氧化二鉭、耦合係數
Kerr effect, nonlinear, symmetry breaking, coupling coefficient, Ta2O5
統計
Statistics
本論文已被瀏覽 5690 次,被下載 908
The thesis/dissertation has been browsed 5690 times, has been downloaded 908 times.
中文摘要
對於促進基礎的光學集成耦合器是一種最基本的元件。透過引入光學的非線性例如光學的克爾效應,非線性效應造成耦合器中互耦係數的不對稱與自相位調變產生的相位不匹配,全光的訊號處裡能夠在不複雜的系統實施,由於在波導的上層是使用五氧化二鉭薄膜,且在波導區域具有很高的非線性折射率與克爾效應,波導的非線性耦合是由數值計算得出,在我們設計的耦合器中,我們使用連續式的輸入光源在我們所設計的雙波導以及三波導中模擬計算,由於模擬得出使用連續式光源會因為功率太大導致元件燒毀,接著我們以脈衝式輸入光源在三波導中正常色散下模擬計算,發現正常色散下會造成光色散到邊界導致計算結果不正確,所以我們將正常色散轉換成不正常色散下發現光不會色散到邊界,所以全光的信號處理方式與元件,可以根據這種非對稱耦合器來處理而不需要使用到複雜的波導電路,此方法可用來做為反向器、光學比較器、功率混合器等。
Abstract
Coupler is one of the most basic components that facilitate the foundation of integrated optics. With the introduction of optical nonlinearity such as optical Kerr effect. Nonlinear effects caused by the asymmetric coupler mutual coupling coefficients and phase self-phase modulation generated does not match. All optical manipulation of signals are possible without complex system implementation. On top of Ta2O5 thin film coating which features high nonlinearity, optical Kerr effect in waveguide region. Nonlinear couplings in waveguide couplers was investigated by numerical computations. In our coupler, we use a continuous source of input in our design of the waveguide and three double waveguide simulation. Because the simulation results using a continuous light source because the power is too large to burn down. Then we input pulse source simulated in the three normal waveguide dispersion. It found that under normal dispersion will cause light dispersion to the border lead to incorrect results o we will not under normal dispersion is converted into light is not found in normal dispersion dispersion to the border. All optical signal processing scheme and devices can be implemented based on this asymmetric couplings without complicated optical waveguide circuits. For instance, inverter, optical comparator and power mixer were demonstrated.
目次 Table of Contents
中文審定書 i
中文摘要 ii
英文摘要 iii
目錄 v
圖目錄 vii
表目錄 ix
第一章 緒論 1
1-1矽光子學簡介 1
1-2 非線性效應簡介 3
1-3 波導材料回顧 4
1-4非線性波導切換簡介 6
1-5研究動機 9
1-6論文架構 10
第二章 理論基礎與模態分析 11
2-1 非線性方程式推導 11
2-1-1非線性波動方程式 11
2-1-2非線性薛丁格方程式 12
2-2 模擬光場模態的基本方法 15
2-2-1 Fourier spectral Method 15
2-2-2 Sellmeierequation 17
2-2-3 Newton-Kantorovih iteration method 18
第三章 非線性波導耦合理論分析 21
3-1 弱耦合機制理論 21
3-2 Crank Nickson Method 23
3-3 弱耦合機制下模擬結果 24
第四章 一般性非線性波導耦合理論分析 26
4-1一般性非線性波導耦合理論 26
4-1-1 Beam propagation method 26
4-1-2 Perfectly matched layer 28
4-1-3非線性波導初始模態架構 29
4-2 雙波導傳播模擬 31
4-3 三波導傳播模擬 35
第五章 脈衝式非線性波導耦合理論分析 38
5-1脈衝式非線性波導耦合理論 38
5-1-1脈衝式非線性波導耦合理論 38
5-1脈衝式非線性三波導傳播模擬 39
5-1-1脈衝式非線性三波導在正常色散下傳播模擬 39
5-1-2脈衝式非線性三波導在異常色散下傳播模擬 45
第六章 結論與未來展望 50
6-1 結論 50
6-2 未來展望 51
參考文獻 52
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