L型LiNbO3偏振旋轉器波導研究

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姓名

呂冠佑(Guan-you Lu) 查詢紙本館藏

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光電科學與工程學系

論文名稱

L型LiNbO3偏振旋轉器波導研究
(Study of L-Shaped LiNbO3 Waveguide Polarization Convertor)

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摘要(中)

由於LiNbO3材料具有良好的耐酸耐鹼性能及顯著的電光效應，已廣泛應用於商用的光調制器產品中。本研究主要探討了波導材料為鈮酸鋰(LiNbO3)的L型偏振旋轉器，利用其折射率的各向異性來旋轉波導內入射光的偏振方向。我們使用有限時域差分法來模擬偏振光在波導中的傳輸的強度與偏振的變化。分析了不同尺寸的L型波導結構，經優化後，可達到近90o的偏振旋轉效果。並且為了減少優化L型波導結構尺寸所花費的時間，我們亦使用雙波導耦合的公式，推導出可用於計算L型偏振旋轉器波導的偏振旋轉率公式。只需將使用半向量光束傳播法(Semi-Vector Beam Propagation Method)所計算出之有效折射率視為未擾動的結果，並將全向量有限元素法(Full-Vector Beam Propagation Method)所計算出之有效折射率視為受擾動的結果，代入模態耦合公式中，即可精確計算偏振旋轉率。並且計算在波導中施加電場改變折射率後，偏振光的旋轉角度。計算了調整輸出光偏振方向所需之電壓強度。從而分析電控調制偏振在L型鈮酸鋰偏振旋轉器波導中的可行性。

摘要(英)

LiNbO3 material is widely used in commercial optical modulators due to its exceptional acid and alkali resistance, as well as its strong electro-optic effect. This study examines an L-shaped polarization convertor made of LiNbO3 waveguide material, utilizing its refractive index anisotropy to rotate the polarization direction of incident light within the waveguide. We employed the Finite-Difference Time-Domain (FDTD) method to simulate changes in transmission intensity and polarization of the light within the waveguide. Various sizes of L-shaped waveguide structures were analyzed, and after optimization, nearly 90° polarization rotation was achieved.
To minimize the time spent optimizing the waveguide structure, we derived a formula for calculating the polarization rotation using the coupled waveguide equation. The effective refractive index, calculated with the Semi-Vector Beam Propagation Method, was treated as the unperturbed result, simplifying the calculation. Meanwhile, the effective refractive index from the Full-Vector Beam Propagation Method was treated as the perturbed result, enabling accurate calculation of the polarization rotation rate using the mode coupling formula. Additionally, we calculated the polarization rotation angle after applying an electric field to change the refractive index in the waveguide. We also determined the voltage required to adjust the output light’s polarization direction. This allowed us to evaluate the feasibility of electrically controlling polarization modulation in the L-shaped LiNbO3 waveguide polarization convertor.

關鍵字(中)

★ L型偏振旋轉器波導
★ 鈮酸鋰
★ 偏振旋轉器

關鍵字(英)

★ L shape waveguide
★ LiNbO3
★ polarization convertor

論文目次

摘要 II
ABSTRACT III
謝誌 V
目錄 VI
圖目錄 I
表目錄 III
第１章緒論１
1.1偏振旋轉器簡介１
1.1.1 L型波導偏振旋轉器２
1.2鈮酸鋰晶體介紹４
1.3 結論６
第２章理論與波導耦合之設計 7
2.1有限時域差分法 7
2.2 鈮酸鋰L型偏振旋轉器波導模擬簡介 12
2.3 波導耦合理論 17
2.3.1波導耦合公式 17
2.4全向量光束傳播法 30
2.5半向量光束傳播法 32
2.6鈮酸鋰L型偏振旋轉器耦合能力計算方法 34
2.6.1 是否受波導的雙折射效應影響 35
2.6.2 Ex方向和Ey方向模態的有效折射率與相互之耦合能力需要相似 37
2.7鈮酸鋰晶體的電光效應 43
2.8結論 45
第３章鈮酸鋰L型偏振旋轉器設計結果分析 48
3.1 結構掃描 49
3.2 有限時域差分法掃描結構結果 50
3.3理論模態計算結果 52
3.4結果討論 54
3.5電控調制之偏振旋轉器 54
3.6結論 56
第４章總結和未來展望 58
4.1總結 58
4.2未來展望 60
參考文獻 61

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指導教授

陳啟昌(Chii-Chang Chen)

審核日期

2024-11-11

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