表面結構波導型擴增實境裝置的二維擴瞳技術之研究

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姓名

蔡有信(Yu-Hsin Tsai) 查詢紙本館藏

畢業系所

光機電工程研究所

論文名稱

表面結構波導型擴增實境裝置的二維擴瞳技術之研究

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摘要(中)

本研究主要是對光波導系統進行模擬與分析，而光波導系統上會有耦入和耦出結構，藉由這兩個繞射結構可以使光耦入及耦出光波導。我們分別使用嚴格耦合波分析法（Rigorous coupled-wave Analysis；RCWA）和有限時域差分法（Finite-Difference Time-Domain；FDTD）模擬分析出繞射結構的散射行為並將其彙整成雙向散射分佈函數（Bidirectional Scattering Distribution Function；BSDF）。此BSDF在光波導系統中，可以用來描述當光碰到由BSDF建立的區域面後，光在之後傳播行為；並且會對繞射結構的占空比和高寬比來調整結構參數，找出最佳的結構參數。而為了增加人眼瞳孔可以接收影像的範圍，我們使用了一維出瞳擴束和二維出瞳擴束技術，在一維出瞳擴束技術部分，成功各別設計出綠光、紅光、藍光特定波長的耦入結構和耦出結構，模擬分析的結果為：出光率分別是19.25 %、19.27 %和19.28%，而均勻度可以達到99.49%、99.44%和98.63%；二維出瞳擴束技術部分，是在一維出瞳擴束技術基礎下，在光進光波導系統前，先藉由分光器和稜鏡的組合進行分光處理，讓光束是以三束光並由各個耦入結構和耦出結構在光波導系統裡傳導並耦出，出光率分別是16.32%、16.34%和16.34%，而均勻度分別是99.38%、99.33%和98.52%。

摘要(英)

This studyis mainly to simulate and analyze the optical waveguide system, and the optical waveguide system has coupling-in and out-coupling structures, and the light can be coupled in and out of the optical waveguide through these two diffraction structures. We use RCWA and FDTD to simulate and analyze the scattering behavior of the diffraction structure and integrate them into a BSDF. In the optical waveguide system, this BSDF can be used to describe the propagation behavior of light after it hits the area surface established by BSDF, the light propagates later; and the structural parameters will be adjusted for the duty ratio and aspect ratio of the diffractive structure to find the best structural parameters. In order to increase the range of images that can be received by the pupil of the human eye, we have used 1D image exit pupil expansion and 2D image exit pupil expansion technology. In the part of 1D image exit pupil expansion technology, the in-coupling structure and out-coupling structure of the specific wavelengths of green light, red light and blue light have been successfully designed respectively. The results of simulation analysis are: the light output rate is 19.25%, 19.27% and 19.28% respectively, and the uniformity can reach 99.49%, 99.44% and 98.63%; The part of the 2D image exit pupil beam expansion technology is based on the 1D image exit pupil beam expansion technology. Before the light enters the optical waveguide system, the light is split by the combination of the beam splitter and the prism, so that the beam is divided into three beams. And it is guided and coupled out in the optical waveguide system by each coupling-in structure and out-coupling structure, the light output rate is 16.32%, 16.34% and 16.34% respectively, and the uniformity is 99.38%, 99.33% and 98.52% respectively.

關鍵字(中)

★ 擴增實境
★ 微結構
★ 光波導
★ 出瞳擴束器

關鍵字(英)

★ augmented reality
★ microstructure
★ optical waveguide
★ exit pupil expander

論文目次

目錄
摘要 I
Abstract II
致謝 III
目錄 IV
表目錄 VI
圖目錄 VII
第一章、緒論 1
1-1研究背景 1
1-2研究動機與目的 3
1-3文獻回顧 4
1-3-1繞射波導元件 4
1-3-2出瞳擴束器 5
1-4論文架構 8
第二章、出瞳擴束技術 9
2-1一維出瞳擴束 9
2-2二維出瞳擴束 11
第三章、數值模擬方法 13
3-1有限時域差分法[22] 13
3-1-1馬克斯威爾方程式[23] 13
3-1-2 FDTD方程式 14
3-1-3三維FDTD方程式 16
3-1-4邊界條件 18
3-2嚴格耦合波分析法[25] 19
3-3蒙地卡羅光線追跡法 24
3-4雙向散射分佈函數 24
第四章、模擬方法設定與分析 26
4-1繞射結構BSDF散射特性之模擬與分析 27
4-1-1耦出結構之模擬邊界及參數設定 27
4-1-2耦出結構之模擬結果分析與討論 29
4-1-3耦入結構之模擬邊界及參數設定 44
4-1-4耦入結構之模擬結果分析與討論 46
4-2均勻耦出處理 51
4-3光波導系統之模擬與分析 53
4-3-1子區域間距 53
4-3-2一維出瞳擴束光波導系統模擬結果 56
4-3-3楔形光波導 58
4-3-4二維出瞳擴束光波導系統模擬結果 60
第五章、結論與未來展望 64
5-1結論 64
5-2未來展望 65
參考文獻 66

參考文獻

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指導教授

陳奇夆(Chi-Feng Chen)

審核日期

2023-2-1

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