用於屏下螢幕顯示的相位共軛超穎表面設計

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姓名

謝岳廷(Yueh-Ting Hsieh) 查詢紙本館藏

畢業系所

光電科學與工程學系

論文名稱

用於屏下螢幕顯示的相位共軛超穎表面設計
(Phase Conjugate Metasurface for Under Display Sensing)

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至系統瀏覽論文 (2025-11-30以後開放)

摘要(中)

全螢幕手機將是未來手機發展的趨勢，但受限於攝影鏡頭藏於螢幕下會因螢幕結構繞射影響，無法得到高品質的影像。本論文利用FDTD模擬分析，將彩色濾波片的週期結構簡化為光柵，設計出用於修正光柵繞射的超穎矯正器，此研究結果未來將可應用於屏下顯示系統。模擬中透過旋轉奈米鰭來調製相位，設計出與光柵相位共軛的超穎矯正器，達到消除繞射的效果。研究中得到的最佳成果是於光柵後加上PB-Phase特性設計的超穎矯正器後，第零階效率由7.34% 最高提升至86 %。最後我們也分析了超穎矯正器在使用上的對位精準度，在結構未對準之情況下，偏離半個晶胞(∆_x=165 nm)就會使效率降低15%以上;超穎矯正器偏離優化間距∆_z=±300 nm時，效率能保持在80%以上，這兩種情況在目前半導體製程技術下能夠有效克服;而入射光偏移時，偏移1度就會使效率降低15%以上，因此目前可使用在望遠鏡系統中。元件在寬頻的分析中，紅光、綠光與藍光的效率分別為86%、58%與28%。

摘要(英)

Full-screen mobile phones will be the trend of future, but limited by the fact that the camera lens is hidden under the screen, it will be affected by the diffraction of the screen structure, and high-quality images cannot be obtained. In this paper, the FDTD simulation analysis is used to design a metacorrector to correct the diffracted light of the grating structure. The results of this research will be applied to the off-screen display system in the future. In the simulation, the phase is modulated by rotating the nanocolumn, and the phase-conjugated metasurface is designed with the grating to achieve the effect of eliminating diffraction. The best result obtained in the research is that the zeroth-order efficiency is increased from 7.34% to 86% after adding the metacorrector designed with PB-Phase characteristics behind the grating. We further investigated the efficiency variation of misalignment between metacorrector and grating. When the misalignment is in the horizontal direction, the deviation from ∆_x=165 nm (half unit cell) reduces the efficiency by 15%. When the metacorrector is away from the optimal spacing at ∆_z=±300 nm, the efficiency remains above 80%. These two situations can be effectively overcome under the semiconductor process technology. Finally, the efficiency reduces by 15% when the incident light is offset at one degree. Therefore, it can be used in telescope systems at present. In the broadband analysis of the component, the efficiency of the red, green, and blue light is 86%, 58% and 28%, respectively.

關鍵字(中)

★ 超穎表面
★ 平下螢幕顯示
★ 相位共軛

關鍵字(英)

★ metasurface
★ phase conjucate
★ PB phase

論文目次

摘要 i
Abstract ii
致謝 iii
目錄 iv
圖目錄 vii
表目錄 xii
第一章緒論 1
1-1 研究背景 1
1-2 文獻回顧 2
1-3 研究動機 7
第二章基本理論 9
2-1 前言 9
2-2 繞射計算 9
2-3-1 Fourier解析相位光柵 10
2-3-2 Fraunhofer Diffraction 分析光柵繞射圖形與效率計算 11
2-4 二維等效介質的近似 13
2-5 光波的偏振 15
2-6 幾何相位 16
2-7 時域有限差分法 19
2-7-1完美匹配層邊界(Perfect Matched Layer) 19
2-7-2週期邊界(Periodic Boundary Condition) 19
2-7-3布洛赫邊界(Bloch Boundary Condition) 20
2-8布洛赫邊界(Bloch Boundary Condition) 20
第三章相位光柵與Metacorrecter之設計與實驗結果模擬 23
3-1 光柵疊合實驗 23
3-2 相位光柵之設計 25
3-3超穎材料之奈米鰭材料選擇與幾何參數之設計 26
3-4超穎矯正器之初步架構設計 28
3-5超穎矯正器之模擬運算與優化方法 29
3-5-1波之平整性的模擬計算 29
3-5-2奈米鰭的相位貢獻 32
3-5-2-1編號n1之奈米鰭 32
3-5-2-2編號n2之奈米鰭 34
3-5-2-3編號n3之奈米鰭 35
3-5-2-4編號n4之奈米鰭 37
3-5-2-5編號n5之奈米鰭 38
3-5-2-6編號n6之奈米鰭 40
3-5-3奈米鰭旋轉角的優化 42
3-6 入射光經光柵後的能流模擬與分析 46
3-7 超穎矯正器於不同位置上之優化結果與分析 48
3-7-1位於z = -7μm的超穎矯正器之設計結果 49
3-7-2位於z = -8μm的超穎矯正器之設計結果 49
3-8 各個優化結果之差異比較與原因探討 51
3-9 超穎矯正器設計位置之再優化 58
3-10 模擬實際使用上會影響結果的各種情況之分析 60
3-10-1入射光並非垂直入射 60
3-10-2元件設計位置並非位於正確位置 61
3-10-3奈米鰭結構與對應的光柵結構並非完全對齊 62
3-11 可見光波段之元件效率分析 63
第四章結論 65
參考文獻 67

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指導教授

王智明(Chih-Ming Wang)

審核日期

2022-11-25

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