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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 曾雪峰 | zh_TW |
| dc.contributor.advisor | Snow H. Tseng | en |
| dc.contributor.author | 李宜閎 | zh_TW |
| dc.contributor.author | Yi-Hong Li | en |
| dc.date.accessioned | 2023-08-01T16:21:25Z | - |
| dc.date.available | 2023-11-09 | - |
| dc.date.copyright | 2023-08-01 | - |
| dc.date.issued | 2023 | - |
| dc.date.submitted | 2023-06-28 | - |
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| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/88005 | - |
| dc.description.abstract | 在本研究中，我們模擬二維光子晶體的模型並且分析了它的波導與光學特性。首先，我們採用平面波展開法計算二維正方晶格的能帶結構，並且探討其晶格參數對於能隙的影響。其次，我們採用時域有限差分法（finite-difference time-domain, FDTD）來動態分析光子晶體在電磁波傳播下的光學特性與過程。在我們的模擬中，我們分別改變了光子晶體波導的物理參數，例如：波長、光子晶體層數和介電圓柱尺寸。此外，我們探討二維光子晶體中的線缺陷對於直線或彎曲波導的特性與應用，並定量分析電磁波傳播時的穿透率頻譜。 | zh_TW |
| dc.description.abstract | In this research, we simulate a two-dimensional photonic crystal model and analyze its waveguide properties. Firstly, we employ the plane-wave expansion method to calculate the band structure of a 2D square lattice and investigate how the lattice parameters affect the energy gap. Secondly, We employ the finite-difference time-domain (FDTD) simulation technique to analyze the optical characteristics of the photonic crystal waveguides. In our simulation, we vary the physical parameters of the photonic crystal waveguides such as wavelength, the number of layers in the photonic crystal, and the size of the dielectric cylinders. Furthermore, we explore the properties and application of straight or curved waveguides with line defects in a two-dimensional photonic crystal and analyze the energy variation of electromagnetic wave propagation. | en |
| dc.description.provenance | Submitted by admin ntu (admin@lib.ntu.edu.tw) on 2023-08-01T16:21:25Z No. of bitstreams: 0 | en |
| dc.description.provenance | Made available in DSpace on 2023-08-01T16:21:25Z (GMT). No. of bitstreams: 0 | en |
| dc.description.tableofcontents | 致謝 II
中文摘要 III Abstract IV 目錄 V 圖目錄 VII 表目錄 XI 第一章 導論 1 1.1 前言 1 1.2 本文內容 3 1.3 文獻回顧 3 1.4 研究動機與目標 6 第二章 模擬方法：時域有限差分法 7 2.1 時域有限差分法（Finite-difference time-domain） 8 2.2 中央有限差分（Central finite difference） 10 2.3 馬克士威方程離散化 11 2.4 The Yee Algorithm 12 2.5 Courant Limit 15 2.6 完美吸收邊界條件（Perfectly Matched Layer Absorbing Boundary Condition, PMLABC） 18 第三章 光子晶體理論分析 21 3.1 週期性函數與倒空間 21 3.2 Bloch’s theorem 26 3.3 平面波展開法 30 3.4 平面波展開法程式驗證 32 第四章 模擬結果討論與分析 33 4.1 模擬無缺陷二維光子晶體-時域有限差分法 33 4.1.1 層數與穿透率關係 35 4.1.2 填充圓柱半徑與穿透率關係 38 4.2 模擬無缺陷二維正方光子晶體-平面波展開法 41 4.3 模擬無缺陷二維正方光子晶體-小結 43 4.4 模擬線缺陷二維正方光子晶體 46 4.5 模擬彎曲波導 51 第五章 結論與未來展望 54 5.1 結論 54 5.2 研究限制與討論 55 5.3 未來展望 56 參考文獻 57 | - |
| dc.language.iso | zh_TW | - |
| dc.title | 以時域有限差分法分析光子晶體波導之光學特性 | zh_TW |
| dc.title | Simulation of a photonic crystal waveguide using the FDTD method | en |
| dc.type | Thesis | - |
| dc.date.schoolyear | 111-2 | - |
| dc.description.degree | 碩士 | - |
| dc.contributor.oralexamcommittee | 黃定洧;蕭惠心 | zh_TW |
| dc.contributor.oralexamcommittee | Ding-wei Huang;Hui-Hsin Hsiao | en |
| dc.subject.keyword | 時域有限差分法,光子晶體波導,數值模擬, | zh_TW |
| dc.subject.keyword | FDTD method,photonic crystal waveguide,numerical simulation, | en |
| dc.relation.page | 59 | - |
| dc.identifier.doi | 10.6342/NTU202301177 | - |
| dc.rights.note | 同意授權(全球公開) | - |
| dc.date.accepted | 2023-06-29 | - |
| dc.contributor.author-college | 電機資訊學院 | - |
| dc.contributor.author-dept | 光電工程學研究所 | - |
| 顯示於系所單位： | 光電工程學研究所 | |
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