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研究生: 楊睿哲
Yang, Jui-Tse
論文名稱: 基於Zernike模態之適應性光學整合於雙光子激發螢光顯微術
Zernike Model-based Adaptive Optics for Two-photon Excited Fluorescence Microscopy
指導教授: 張家源
Chang, Chia-Yuan
學位類別: 碩士
Master
系所名稱: 工學院 - 機械工程學系
Department of Mechanical Engineering
論文出版年: 2023
畢業學年度: 111
語文別: 中文
論文頁數: 86
中文關鍵詞: 多光子激發螢光顯微鏡適應性光學遙控調焦Shack-Hartmann波前感測器可調變式聚焦鏡
外文關鍵詞: multi-photon excitation fluorescence microscopy, adaptive optics, remote focusing, Shack-Hartmann wavefront sensor, deformable mirror
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  • 由於多光子激發螢光顯微鏡(multi-photon excited fluorescence microscopy,MPEFM)系統的深度成像能力及高空間分辨率特性,目前已成為生物組織研究中不可或缺的重要工具;而為進一步提升螢光影像之解析度與對比度,本論文將其與適應性光學(adaptive optics,AO)概念相結合,預先補償系統及樣品上的像差。
    本論文首先建立一套AO系統,利用15項Zernike多項式(Zernike polynomial)作為數學模型,並分別藉由自製Shack-Hartmann波前感測器(Shack-Hartmann wavefront sensor,SHWS)與可調變式聚焦鏡(deformable mirror,DM)作為波前感測器及波前修正元件,接著結合CameraLink高速傳輸介面及現場可程式化邏輯閘陣列(field programmable gate array,FPGA)的即時運算能力,使系統達到200 Hz之修正像差效果;此外,由於是利用平行化PI控制器(parallel PI controller),藉由Zernike多項式各像差間相互正交的特性對DM產生的面形進行控制,因此能夠單獨調控各像差,使系統於修正干擾同時控制聚焦點於光軸上的位置,達成快速遙控調焦(remote focusing,RF)之目標。
    最後本論文將AO概念與MPEFM系統整合,同樣以DM作為波前修正元件,藉由分析螢光影像強度,逐一調整DM產生出的各項像差,找尋出修正干擾的最佳Zernike係數組合,達成非感測試AO (sensorless AO)。

    The multi-photon excitation fluorescence microscopy (MPEFM) system is an advanced and powerful imaging technology widely employed in the fields of life sciences and biomedical research. By utilizing the non-linear optical process of multi-photon excitation, it offers high-resolution imaging, deep tissue penetration, and three-dimensional reconstruction capabilities. In this study, we incorporated the concept of adaptive optics (AO) into the MPEFM system to achieve aberration correction and remote focusing (RF). This was accomplished by leveraging the high response rate of a deformable mirror (DM) and the orthogonal properties of Zernike polynomials, which represent various aberrations. Before performing aberration correction, a three-step identification process was conducted to ensure precise compensation of individual aberrations by the DM. The results demonstrated that this process yielded a signal-to-noise (SNR) ratio exceeding 20.3 dB for all aberrations, without regarding the x-tilt and y-tilt terms. In the final experiment, our adaptive optics system exhibited a reduction in wavefront variance by approximately 475-fold and enabled a remote focusing range of 128 µm. Lastly, the integration of the AO system into the MPEFM system led to a more than three-fold increase in fluorescence image intensity.

    摘要 i Extended Abstract ii 致謝 viii 目錄 ix 圖目錄 xii 表目錄 xvi 第一章 緒論 1 1-1 前言 1 1-2 文獻回顧 2 1-3 研究動機及目的 4 1-4 論文整體架構 5 第二章 可調變式聚焦鏡三步建模技術 6 2-1 Shack-Hartmann波前感測器(Shack-Hartmann wavefront sensor,SHWS) 6 2-1-1 SHWS原理及架構 6 2-1-1-1感光元件 9 2-1-1-2微透鏡陣列 10 2-1-1-3 Zernike多項式 12 2-1-2 CameraLink傳輸介面 16 2-1-3 SHWS校正 18 2-1-3-1 傾斜項校正 18 2-1-3-2 散焦項校正 20 2-2 可調變式聚焦鏡 25 2-2-1 規格介紹 25 2-2-2 基於FPGA控制設計 27 2-3 DM建模 31 2-3-1光路架構 31 2-3-2程式架構 33 2-3-3建模演算法 36 2-3-4 PI建模優化 39 2-3-5 建模線性度優化 41 第三章 適應性光學(adaptive optics,AO) 45 3-1 光路架構 45 3-1-1 多通道項獨立PI控制器設計 47 3-1-2程式架構 48 3-2 靜態干擾修正響應 50 3-3 遙控調焦 51 3-3-1 遙控調焦偵測 51 3-3-2 遙控調焦實驗結果 55 3-4 整合適應性光學之遙控調焦 56 3-4-1 靜態干擾修正響應 56 3-4-2 動態熱干擾修正響應 57 第四章 非感測式AO結合雙光子螢光顯微系統 58 4-1雙光子螢光顯微系統(multi-photon excitation fluorescence microscopy,MPEFM) 58 4-1-1規格介紹 59 4-1-2 Zernike像差測試 61 4-2 系統架構 63 4-2-1 非感測式AO控制流程架構 64 4-2-2像差修正流程 66 4-3 光學像差修正實驗結果 68 4-3-1 低階像差修正 68 4-3-2 高階像差修正 69 第五章 實驗結果討論及未來展望 70 5-1 實驗結果 70 5-2 結果討論 71 5-3 未來展望 73 參考文獻 74 附錄 83 A最陡下降演算法推導 83 B Zernike多項式色碼表 85 C AO系統光路架構 86

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