臺灣博碩士論文加值系統

本論文主要是研究脊型鈦擴散鈮酸鋰光波導之導光行為。所分析之導光行為包括各模態之等效折射率，其對應之光場分佈，以及波導耦合長度等。波導基板鈮酸鋰之非等向性，波導折射率依鈦離子擴散濃度變化關係及色散現象，皆已考慮於所分析之波導折射率模型中。數值計算採非等向性半向量偏極化有限差分法結合移值─倒數─冪次法和同時迭代法完成。再將分析結果應用於同軸式光激發摻鉺鈦擴散鈮酸鋰波導雷射和鈦擴散鈮酸鋰方向耦合器之設計上。藉由脊型結構降低同軸式光激發摻鉺鈦擴散鈮酸鋰波導雷射之有效激發面積，以降低臨界激發功率，數值結果顯示臨界激發功率最多可降40%。此外，本論文亦提出兩種溝槽結構用以精確調整鈦擴散鈮酸鋰方向耦合器之耦合長度。結果顯示耦合長度之調整量與溝槽之深度有關，縮短程度最大可達46%，拉長程度之百分比則更大。本論文所用之數值方法亦可輕易且有效地應用於任何直線光波導元件之可設計與分析，未來可進而發展成適合一般研究人員使用之良好軟體工具。

In this paper, Ti-diffused ridge LiNbO3 waveguides are analyzed to show the effects of the ridge on optical propagation characteristics, such as propagation index, electric field, and coupling length. An anisotropic semivectorial polarized finite difference method with a shift inverse power method and a simultaneous iteration scheme is used for the numerical calculation. The validity and accuracy of the calculated results by this method are assessed by comparing with those published. Waveguide devices with the ridge structure are then considered to provide design rules for the improvement of efficiency of Ti-diffused Er:LiNbO3 waveguide laser and the tuning of coupling length of directional coupler. By incorporating the ridge structure, the effective pump area of coaxially pumped Ti-diffused Er:LiNbO3 waveguide laser is decreased such that the threshold pump power of the laser is significantly lowered. The results show that the reduction of the threshold pump power can be as large as about 40%, while the slope efficiency is not obviously changed. Next, two kinds of groove structure for shortening and broadening the coupling lengths of Ti:diffused LiNbO3 directional couplers are presented. The coupling lengths as functions of the depth, width, and spacing of the grooves were numerically calculated. The results show that the maximum shortening of coupling length is up to 43%, and the maximum broadening is even larger depending on the groove depth. This method can be efficiently applied to the analysis of any longitudinally invariant waveguide devices.

第一章 緒論
1-1 積體光學簡介
1-2 鈮酸鋰晶體基本特性
1-3 脊型波導
1-4 研究動機
1-5 論文內容概述
第二章 鈦擴散鈮酸鋰通道波導折射率模型和理論分析
2-1 簡介
2-2 鈦擴散鈮酸鋰通道波導折射率模型
2-3 理論分析
2-4 數值方法
2-5 結論
第三章 脊型鈦擴散鈮酸鋰波導模擬結果
3-1脊型鈦擴散鈮酸鋰波導折射率模型
3-2模擬結果
3-3討論與應用
第四章 脊型同軸激發摻鉺鈦擴散鈮酸鋰波導雷射
4-1簡介
4-2理論分析4-3模擬結果和討論
4-4 結論
第五章 以脊型結構精確控制方向耦合器耦合長度
5-1簡介
5-2理論分析
5-3模擬結果和討論
5-4結論
第六章 總結與未來展望
6-1總結
6-2未來之展望
參考文獻
附表
附圖68

第一章
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第三章
[1]K. Noguchi, O. Mitomi, H. Miyazawa, and S. Seki, "A broadband Ti:LiNbO3 optical modulator with a ridge structure," J. Lightwave Technol., vol. 13, pp. 1164-1168, 1995.
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第四章
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第五章
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