全介電幾何相位超穎表面的設計、優化及簡化模型

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姓名

余宸逸(Chen-Yi Yu) 查詢紙本館藏

畢業系所

光電科學與工程學系

論文名稱

全介電幾何相位超穎表面的設計、優化及簡化模型
(Design, optimization and simplified model for all-dielectric geometric phase metasurface)

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摘要(中)

本論文將PB-phase之超穎介面簡化為波板模型，入射光受超穎介面轉為正交偏振態帶有幾何相位，剩餘通過的光帶有動態相位。吾人利用等效介質理論計算超穎介面Unit cell之非等向性之折射率，透過設計Unit cell厚度達到半波板來消除動態相位之影響，讓超穎介面的整體相位為幾何相位效應。將設計完之Unit cell排列為梯度表面超穎介面之相位分布組成Meta-device，透過粒子群最佳化來對Meta-device之相位分布均勻性做優化，使其繞射效率提升。

摘要(英)

We simplify the PB-phase supernatural interface into a waveplate model where the incident light is polarized orthogonally by the supernatural interface into a geometric phase and the remaining passing light band has a dynamic phase. We calculate the non-isotropic refractive index of the unit cell of the supernatural interface by using the effective medium approximation theory and design the unit cell to be half-wave plate to eliminate the dynamic phase effect. The phase distribution of the designed unit cell is arranged as a gradient surface to form a Meta-device, and the phase distribution uniformity of the Meta-device is optimized by particle cluster optimization to improve the diffraction efficiency.

關鍵字(中)

★ 幾何相位
★ 超穎表面
★ 超穎透鏡
★ 等校介質近似理論

關鍵字(英)

★ PB-Phase
★ metasurface
★ metalens
★ EMT

論文目次

摘要 i
Abstract ii
致謝 iii
目錄 iv
表目錄 xi
第1章緒論 1
1-1 研究背景 1
1-2相位調製之文獻回顧 3
1-3 研究動機 9
1-4 研究目標及規劃 10
第2章基本理論 12
2-1 前言 12
2-2 羅倫茲振盪模型(The Lorenzt Oscillator Model) 12
2-3 等效介質近似理論(Effective medium approximations theory) 17
2-5光波的偏振(Polarization of Light Wave) 23
2-6 繞射式光柵(Diffractive Grating) 33
2-7 時域有限差分法(Finite Difference Time Domain Method) 41
2-8 粒子群最佳化(Particle Swarm Optimization) 47
第3章高效率介電超穎表面的厚度分析 52
3-1 圓極化的相位分析方法 52
3-2 FDTD模擬分析 53
3-3 EMT近似分析 55
3-4 動態相位對幾何相位之擾動 61
第4章 Meta-device之設計 71
4-1 梯度表面超穎介面之Meta-device 71
4-2 Meta-device之波前優化 74
第5章 Meta-device繞射效率分析 78
5-1 Meta-device之厚度與偏振轉換率關係 78
5-2 x線偏振入射對Meta-device之RCP與LCP之相位影響 82
5-3 Meta-device之波板特性 86
第6章結論 89
參考文獻 90

參考文獻

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指導教授

王智明(Chih-Ming Wang)

審核日期

2021-1-21

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