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姓名	劉俐瑩(Li-Ying Liu)  查詢紙本館藏	畢業系所	光電科學與工程學系
論文名稱	矽波導奈米結構反射式偏振旋轉器 (Reflective Polarization Converter formed by Nanostructured Si Waveguides)
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摘要(中)	本研究以Folded Šolc Filter為基礎所設計出的偏振旋轉器結構，以在矽波導中蝕刻週期性的左右空氣方孔來達到雙折射的效果，其結果會與左右交替方位角的Folded Šolc Filter相似。我們使用了有限時域差分法、光束傳播法及三維特徵模態展開法等方法，成功模擬出在極微小的元件長度(約9.21 µm)下達到高偏振旋轉反射率的成果(最高可達到的反射率為93.1%)，可操作的波長範圍約為1460.4nm至1619.4nm，涵蓋光通訊所使用的光譜範圍從S-band(1460-1530nm)、C-band(1530-1565nm)到L-band(1565-1625nm)，並透過計算其能帶結構來確認波導反射頻譜中的波峰是由光子能隙所造成的。期望本元件可應用於量子光學電腦中的邏輯計算中。
摘要(英)	In this thesis, we designed a polarization rotator based on the Folded Šolc Filter that can possess birefringence by etching periodically-arranged alternatively-shifted air holes in a silicon waveguide. We obtain the reflective polarization rotator with high reflectivity with an extremely small device length (approximately 9.21 µm) using the methods including the finite-difference time-domain method, the beam propagation method, and the three-dimensional eigenmode expansion method. The highest achievable reflectivity was 93.1%, with an operation bandwidth from 1460.4nm to1619.4nm, which covers the S-band (1460-1530 nm), C-band (1530-1565 nm), and L-band (1565-1625 nm) of optical communication spectrum. By calculating the band structure, we confirmed that the peaks in the reflection spectrum were caused by photonic bandgaps. This device could be applied for optical quantum computing.
關鍵字(中)	★ 偏振旋轉器 ★ 雙折射光子晶體 ★ 矽波導	關鍵字(英)	★ polarization rotator ★ birefringent ★ photonic crystals ★ waveguide
論文目次	中文摘要 i Abstract ii 誌謝 iii 目錄 iv 圖目錄 vi 表目錄 x 第一章 序論 1 1.1 研究動機 1 1.2 研究方法 6 1.3 結論 7 第二章 雙折射多層膜矩陣法 8 2.1 Wave-Transfer Matrix[28] 8 2.2 Scattering Matrix[28] 9 2.3 Propagation Matrix in a Homogeneous Medium[28] 10 2.4 座標旋轉矩陣(Coordinate-Transformation Matrix) 10 2.5 矩陣法用於計算Fabry-Pérot結構[28] 12 2.6 4x4矩陣法推導 14 2.7 4x4矩陣法用於單層雙折射晶體之計算 16 2.8 結論 20 第三章 索爾克濾波器 21 3.1 Folded Šolc Filter[47] 21 3.2 Fan Šolc Filter[47] 24 3.3 使用4x4矩陣法計算Šolc Filter 26 3.4 結論 34 第四章 結構設計與模擬分析 35 4.1 結構設計 35 4.2 反射頻譜分析 36 4.2.1 Duty-cycle (DC) 37 4.2.2 總洞數N 39 4.2.3 矩形空氣孔洞的深度Hh與寬度Wh 40 4.3 4x4矩陣法驗證 43 4.4 結論 48 第五章 總結與未來展望 49 5.1 總結 49 5.2 未來展望 49 參考文獻 51 附錄 55
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指導教授	陳啟昌(Chii-Chang Chen)	審核日期	2023-7-24
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