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請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/95736
完整後設資料紀錄
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dc.contributor.advisor李世光zh_TW
dc.contributor.advisorChih-Kung Leeen
dc.contributor.author劉宏哲zh_TW
dc.contributor.authorHong-Je Liuen
dc.date.accessioned2024-09-16T16:10:24Z-
dc.date.available2024-09-17-
dc.date.copyright2024-09-16-
dc.date.issued2024-
dc.date.submitted2024-08-09-
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dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/95736-
dc.description.abstract自適應光學(Adaptive Optics, AO)技術用於補償大氣湍流等因素引起的波前畸變,顯著提升光學系統的成像質量和分辨率。近年來,AO技術在天文學、衛星成像、光通信和生物醫學等領域蓬勃發展。然而,傳統AO系統使用變形鏡(Deformable Mirror)或液晶空間光調制器(Spatial Light Modulator,SLM)進行波前校正,存在成本高、耐用性低和溫度敏感等問題。
本研究提出用於雷射光波前補償與校正,基於數位微鏡(Digital Micromirror Device,DMD)之AO系統,其中DMD結合全像術(Holography)作為波前校正系統,並以研究團隊先前所提出之波前感測器SPARROW為靈感開發出DMD輔助徑向剪切干涉儀進行波前感測。DMD具備高反應速度、寬頻響應及高耐用性等優勢,結合全像術能有效進行波前校正並改善傳統徑向剪切干涉儀的測量速度。實驗架設中我們使用633nm波長之氦氖雷射經過空間濾波器及准直透鏡作為完美波前,通過擾動區域後,以DMD作為波前校正系統,我們使用之DMD為DLP4500.45 WXGA DMD有著 之高分辨率及 的高反應時間補償擾動波前,而補償波前則是利用二進制電腦生成全像術(Computer Generated Holography,CGH)進行波前振幅、相位及全像圖空間頻率獨立調控。後端徑向剪切干涉儀中僅利用一片剪影板及一個感光元件同時取得垂直方向及水平方向之剪切干涉條紋,並且利用DMD生成傾斜波前改良傳統鏡向剪切干涉儀中之相移機制,形成DMD輔助徑向剪切干涉儀進行波前重建。
實驗結果顯示,基於DMD的AO系統可成功量測未知波前並且進行校正,為雷射系統和精密光學測量提供了新的技術路徑。總結來說,本研究所提出之系統能在未來波前校正和波前感測方面展現了優越的性能,具有廣闊的應用前景。
zh_TW
dc.description.abstractAdaptive Optics (AO) technology is used to compensate for wavefront distortions caused by atmospheric turbulence, significantly improving the imaging quality and resolution of optical systems. In recent years, AO has been extensively applied in astronomy, satellite imaging, optical communications, and biomedical fields. However, traditional AO systems using deformable mirrors (DM) or liquid crystal spatial light modulators (SLM) are costly, have low durability, and are sensitive to temperature.
This study proposes an AO system for laser wavefront compensation and correction based on Digital Micromirror Device (DMD) technology. DMD, combined with holography, serves as the wavefront correction system, inspired by our previously developed wavefront sensor, SPARROW, to develop a DMD-assisted lateral shearing interferometer for wavefront sensing. DMD features high response speed, wide spectral response, and high durability. In the experimental setup, we use a 633nm HeNe laser through a spatial filter and collimating lens as a perfect wavefront. After passing through the perturbation area, the DMD-based wavefront correction system, utilizing the DLP4500 .45 WXGA DMD with resolution and response time, compensates for the distorted wavefront using computer-generated holography (CGH) for independent control of wavefront amplitude, phase, and spatial frequency of holograms. The lateral shearing interferometer in the back end uses a single shear plate and a CMOS to simultaneously capture horizontal and vertical shear interference fringes. The DMD-generated tilt wavefront improves the phase-shifting mechanism of traditional shearing interferometers, forming a DMD-assisted lateral shearing interferometer for wavefront reconstruction.
Experimental results demonstrate that the DMD-based AO system can successfully measure and correct unknown wavefronts, providing a new technological pathway for laser systems and precision optical measurements. In conclusion, the proposed system exhibits superior performance in wavefront correction and sensing, offering broad application prospects.
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dc.description.tableofcontents口試委員會審定書 i
致謝 ii
中文摘要 iii
Abstract iv
目次 vi
圖次 x
表次 xxi
第1章 緒論 1
1.1 研究動機 1
1.2 文獻回顧 4
1.2.1 自適應光學 4
1.2.2 DMD介紹以及其應用 9
1.3 研究目標 12
1.4 論文架構 12
第2章 DMD光學理論 14
2.1 DMD照明原理 14
2.2 光柵分類 15
2.2.1 穿透式光柵 16
2.2.2 反射式光柵 16
2.2.3 閃耀式光柵 17
2.2.4 全像式光柵 18
2.3 DMD繞射原理 18
2.3.1 DMD增強振幅光柵近似描述 19
2.3.2 DMD閃耀式光柵近似描述 24
第3章 DMD波前操作原理 38
3.1 波前概述 38
3.1.1 波前像差 39
3.1.2 光學點擴散函數 42
3.1.3 波前像差分析: Zernike多項式 43
3.2 全像術原理 46
3.2.1 傳統全像術記錄與重建 47
3.2.2 離軸全像術原理 49
3.3 二進制電腦生成全像術 51
3.3.1 李全像生成術 51
3.3.2 超像素法 53
3.3.3 純相位調制超像素法 54
3.3.4 二進制電腦生成全像術方法比較與選擇 55
3.4 DMD全像術重建波前分析與數值模擬 55
3.4.1 DMD全像術空間頻率限制 57
3.4.2 全像術數值模擬 59
3.4.3 DMD波前調製繞射光點極限 68
第4章 DMD輔助徑向剪切干涉儀之波前感測系統 73
4.1 徑向剪切干涉儀 73
4.1.1 光學干涉原理 73
4.1.2 徑向剪切干涉原理 74
4.1.3 波前重建流程 79
4.2 相位還原 80
4.2.1 頻譜法條紋分析 80
4.2.2 相位移法 82
4.2.3 頻譜法、相移法相位還原選擇 85
4.3 相移法數值模擬與分析 86
4.3.1 相移法穩定性分析 86
4.3.2 徑向剪切干涉相移法數值模擬 90
4.4 DMD波前角度控制輔助徑向剪切干涉相位還原 92
4.4.1 波前感測器SPARROW相移方法 92
4.4.2 利用DMD產生傾斜波前進行相移法 94
4.5 相位展開演算法 101
4.5.1 可靠度函數: 102
4.5.2 相位展開路徑: 103
4.5.3 路徑不相依相位展開狀況分析 106
4.5.4 相位展開數值模擬 106
4.6 徑向剪切干涉波前重建 107
4.6.1 直接累加積分法波前重建 108
4.6.2 直接累加積分法數值模擬 112
4.6.3 傅利葉積分法 119
4.6.4 傅利葉積分法數值模擬 120
4.6.5 徑向剪切干涉波前重建積分始點影響分析 129
第5章 實驗架設與實驗結果分析 134
5.1 系統架構 134
5.1.1 光路設計分析 134
5.1.2 元件參數 137
5.2 驗證量測 139
5.2.1 波前感測系統精度驗證 139
5.2.2 全像術驗證 151
5.3 波前校正實驗量測 156
5.3.1 實驗流程 156
5.3.2 DMD自身之波前像差校正 157
5.3.3 未知波前相差校正 165
5.4 系統規格比較分析 173
第6章 結論及未來展望 177
6.1 結論 177
6.2 未來展望 178
參考文獻 179
-
dc.language.isozh_TW-
dc.title應用數位微鏡於自適應光學系統的波前感測與校正技術研究zh_TW
dc.titleStudy of Wavefront sensing and correction techniques in adaptive optical systems using digital micromirrors device (DMD)en
dc.typeThesis-
dc.date.schoolyear112-2-
dc.description.degree碩士-
dc.contributor.coadvisor吳光鐘zh_TW
dc.contributor.coadvisorKuang-Chong Wuen
dc.contributor.oralexamcommittee黃君偉;李翔傑;李舒昇;廖愷修zh_TW
dc.contributor.oralexamcommitteeJiun-Woei Huang;Hsiang-Chieh Lee;Shu-Sheng Lee;Kai-Shiu Liaoen
dc.subject.keyword自適應光學,變形鏡,空間光調制器,數位微鏡,全像術,電腦生成全像術,波前感測,波前校正系統,夏克-哈特曼,干涉儀,徑向剪切干涉儀,點擴散函數,相位移法,光程差,zh_TW
dc.subject.keywordAdaptive Optics,AO,Deformable Mirror,Spatial Light Modulator,SLM,Digital Micromirror Device,DMD,Holography,Computer Generated Holography,CGH,Wavefront Sensor,Wavefront Correction System,Shack-Hartmann,Interferometer,Lateral Shearing Interferometer,Point Spread Function,PSF,Zernike,en
dc.relation.page185-
dc.identifier.doi10.6342/NTU202403543-
dc.rights.note同意授權(限校園內公開)-
dc.date.accepted2024-08-12-
dc.contributor.author-college工學院-
dc.contributor.author-dept應用力學研究所-
dc.date.embargo-lift2026-08-06-
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