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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 石明豐(Ming-Feng Shih) | |
dc.contributor.author | Hung-Hsuan Hu | en |
dc.contributor.author | 許宏亘 | zh_TW |
dc.date.accessioned | 2021-05-15T17:52:19Z | - |
dc.date.available | 2014-08-17 | |
dc.date.available | 2021-05-15T17:52:19Z | - |
dc.date.copyright | 2014-08-17 | |
dc.date.issued | 2014 | |
dc.date.submitted | 2014-08-12 | |
dc.identifier.citation | [1] T. B. Pittman, Y. H. Shih, D. V. Sterekalov, and A. V. Sergienko, “Optical imageing by means of two-photon quantum entanglement,” Phys.Rev. A 52, R2439 (1995).
[2] D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, Y. H. Shih, “Observation of Two-Photon “Ghost” Interference and Diffraction,” Phys. Rev. Lett., 74 3600 (1995). [3] A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, “Correlated imaging, quantum and classical,” Phys. Rev. A 70, 013802 (2004). [4] F. Ferri, D. Magatti, A. Gatti, M. Bache, E. Brambilla, and L. A. Lugiato, “High-Resolution Ghost Image and Ghost Diffraction Experiments with Thermal Light ,” Phys. Rev. Lett. 94, 183602 (2005). [5] Y. Bromberg, O. Katz, and Y. Silberberg, “Ghost imaging with a single detector,” Phys Rev A 79, 053840 (2009). [6] B. Sun, M. P. Edgar, R. Bowman, L. E. Vittert, S. Welsh, A. Bowman, M. J. Padgett, “3D Computational Image with Single-Pixel Detectors,” Science 340, 844 (2013). [7] C. A. Chen, “Enhanced Sensitivity of Ghost Image via Second Order Correlation”, (Master Thesis, National Taiwan University 2010). [8] Y. T. Hu, “Resolving the Chaotic Optical Image That Comes From Different Directions and Overlaps”, (Master Thesis, National Taiwan University 2013). [9] J. R. Fienup, “Phase retrieval algorithms: a comparison,” Appl. Opt. 21, 2758–2769 (1982). [10] J. R. Fienup, “Reconstruction and synthesis applications of an iterative algorithm,” in Transformations in Optical Signal Processing, W. T. Rhodes, J. R. Fienup, and B. E. A. Saleh, eds., Proc. Proc. SPIE 373, 147–160 (1981). [11] C. Li, H. Xian, W. Jiang and C. Rao, “Measurement Error of Shack-Hartmann Wavefront Sensor”, Book edited by R. K. Tyson, ISBN 978-953-307-949-3, Published: January 20, 2012 under CC BY 3.0 license. | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/5129 | - |
dc.description.abstract | 光的電場數學形式是√(I(x,y))×e^(i×∅(x,y)),我們只能使用量測光強度的攝影機或是偵測器來量物體的近場光強度I_N(x,y)和物體的遠場繞射光強度I_F(x,y);但是藉由被稱為Gerchberg-Saxton Method的傅立葉疊代法,我們可產生一組各自帶有相位資訊之複數近場√(I_N (x,y))×e^(i×∅_N (x,y))、複數遠場√(I_F (x,y))×e^(i×∅_F (x,y))。這個方法一般都是應用在沒有擾動介質(毛玻璃)之簡單系統中,因此初始條件e^(i×Constant)可以被假設為空間均勻的。
然而,如果我們想要把傅立葉配對疊代法(Gerchberg-Saxton Method)應用在有擾動介質(毛玻璃)的系統之下,我們就需要猜一個適當的初始條件。在本論文中,我們將光學二階相關性質應用在找出近場影像、遠場影像之相關區域,並藉由近遠場相關區域找出毛玻璃相位。為了驗證其解的正確性,我們以毛玻璃干涉實驗來確認其計算結果,並得到很好的驗證。在論文的最後一個章節中,我們利用改良的Gerchberg-Saxton Method找出適當的近遠場電場,並且試著重建被毛玻璃所擋住的物體形狀。 | zh_TW |
dc.description.abstract | The mathematical form of light field is known as √(I(x,y))×e^(i×∅(x,y)). We can only measure the near-field light intensity I_N(x,y) and far-field intensity I_F(x,y) of an object with a simple intensity camera or detector. With the so-called Gerchberg-Saxton Method, we could generate a pair of complex numbers of √(I_N (x,y))×e^(i×∅_N (x,y)) and √(I_F (x,y))×e^(i×∅_F (x,y)), each has its own phase information. This iterative method is generally being used in systems without disturbing medium_(such as ground glass), so the initial- guessed e^(i×Constant) could be assumed to be spatially uniform.
However, if we want to use this method in system with disturbing medium_(such as ground glass), we need to guess an appropriate initial condition. In this thesis, we find the correlation between the region in the near-field and the region in the far-field using optical second order correlation. With this information, we obtain the phase introduced by the ground glass. To verify the validity of the result, we also perform an interference experiment and find very good agreement. In the last chapter of this thesis we use the improved Gerchberg-Saxton Method to match the near-field and far-field light field. We also try to reconstruct the image of the object blocked by a ground glass. | en |
dc.description.provenance | Made available in DSpace on 2021-05-15T17:52:19Z (GMT). No. of bitstreams: 1 ntu-103-R01245002-1.pdf: 4906695 bytes, checksum: ba2744f2df27e9755108557f60ed9bb8 (MD5) Previous issue date: 2014 | en |
dc.description.tableofcontents | 目錄
口試委員審定書 致謝 ...........................................................Ⅰ Abstract.........................................................Ⅱ 中文摘要 .......................................................Ⅲ 第1章 緒論 1-1 鬼成像 ....................................................1 1-2 從雜訊中解析影像 ..........................................4 1-3 分辨來自不同方向且重疊的混亂光 ............................5 1-4 研究動機 ..................................................6 1-5 Gerchberg-Saxton method以及問題架構 ........................8 第2章 問題的定義與近場影像與遠場影像 2-1 定義問題及其解決方案 ......................................10 2-2 定義近場影像、遠場影像 ....................................12 2-3 混亂光源之下的近場與遠場 ..................................15 第3章 電腦模擬流程 3-1 毛玻璃的模型 ..............................................19 3-2 近場與遠場相關性 ..........................................23 3-3 找近場相關區域與遠場相關光團之演算法 ......................25 3-4 毛玻璃空間相位解 ..........................................28 第4章 實驗 4-1 毛玻璃製作與實驗校正 ......................................30 4-2 光路架設與實驗過程 ........................................32 4-3 實驗結果 ..................................................34 4-4 干涉比較 ..................................................37 第5章 後續工作 5-1 Gerchberg-Saxton method I ....................................41 5-2 Gerchberg-Saxton method II ...................................44 5-3 提出影像回解流程 ..........................................46 5-4 成果 ......................................................48 5-5 結論與未來目標 ............................................53 參考文獻 ........................................................56 圖目錄 圖1.1 糾纏光子之鬼成像架設、物體圖及其計算結果圖[1] ...............1 圖1.2 混亂光斑之鬼成像架設、及其計算結果圖[5] .....................2 圖1.3 鬼成像3-D造影示意圖[6] .....................................3 圖1.4 上下左右四個偵測器各自的鬼成像[6] ...........................3 圖1.5 陳政安的實驗架設圖[7] .......................................4 圖1.6 從P+Q光斑解析影像L[7] .....................................4 圖1.7 胡彥同的實驗架設圖[8] .......................................5 圖1.8 實驗裝置(圖1.7)所得的近場影像以及遠場影像、及其計算結果[8] ...5 圖1.9 物體光從大氣到視網膜的流程圖 ...............................6 圖1.10自適應光學系統示意圖 http://www.answers.com/topic/adaptive-optics .6 圖1.11 微小透鏡組(Lenslets)功能的示意圖[11] .........................7 圖1.12 適用Gerchberg-Saxton method的情況 ..........................8 圖1.13 Gerchberg-Saxton method的演算法[9] ...........................8 圖1.14 二元圖BIRD、FISH (a)、一次遞迴輸出(b)、二次遞迴輸出(c)[10] ...9 圖1.15 問題架構圖 ................................................9 圖2.1 一般人眼看物體的情況 .......................................10 圖2.2 物體光受毛玻璃影響而人眼無法清楚成像 .......................10 圖2.3 解決問題之構想圖 ...........................................11 圖2.4 沒有毛玻璃與散光碟片的光路 .................................12 圖2.5 物體的影像L(模擬)與近場光強度影像(模擬) .....................13 圖2.6 物體的影像L(實驗)與近場光強度影像(模擬) .....................13 圖2.7 物體的影像L(實驗)與近場光強度影像(實驗) .....................13 圖2.8 實驗上看到之非混亂光源遠場光強度影像 .......................14 圖2.9 模擬得到之非混亂光源遠場光強度影像 .........................14 圖2.10 近場光斑I_N1 (t)、I_N2 (t)與遠場光團Far(I_N1 (t))、〖Far(I〗_N2 (t)) .......15 圖2.11 沒有毛玻璃但有散光碟片的光路 ..............................16 圖2.12 模擬之混亂光源的光斑(左)與實驗量測之混亂光源的光斑(右) ....16 圖2.13 混亂光源光斑一 ............................................17 圖2.14 混亂光源光斑二 ............................................17 圖2.15混亂光源光斑三 ............................................17 圖2.16 混亂光源光斑四 ............................................17 圖2.17 非混亂光源的遠場(左)與混亂光源的遠場(右) ..................17 圖2.18 兩張不同的混亂光源之遠場影像 ..............................18 圖3.1 沒散光碟片但有毛玻璃的光路(上)與光行進到毛玻璃之情況(下) ...19 圖3.2 給定的毛玻璃的空間相位(左)與被光照亮的毛玻璃區域(右) .......20 圖3.3 近場的光強度分布(上)與遠場光強度分布(下) ...................21 圖3.4 連續且平滑的毛玻璃空間分布 .................................22 圖3.5 實驗上的近場影像(上)與遠場光團強度分布影像(下) .............22 圖3.6 有毛玻璃與散光碟片的系統 ...................................23 圖3.7 左側是I_N^T1 (x,y)、右側是I_F^T1 (x,y),(電腦模擬) ...................24 圖3.8 左側是I_N^T2 (x,y)、右側是I_F^T2 (x,y),(電腦模擬) ...................24 圖3.9 左側是I_N^Tavg (x,y)、右側是I_F^Tavg (x,y),(電腦模擬) ................25 圖3.10 左側是I_N^Tavg (x,y)、右側是I_F^Tavg (x,y),(實驗) ...................25 圖3.11 左圖是∆I_N^T1 (x,y)、右圖是∆I_F^T1 (x,y),(電腦模擬) ................26圖3.12 左圖是∆I_N^T2 (x,y) 右圖是∆I_F^T2 (x,y),(電腦模擬) .................26 圖3.13 近場相關區域CRE_FN^T (x,y)與遠場pixel(a,b)之對應圖—A ...........27圖3.14 近場相關區域CRE_FN^T (x,y)與遠場pixel(c,d)之對應圖—B ...........27圖3.15 近場相關區域CRE_FN^T (x,y)與遠場pixel(e,f)之對應圖—C ...........27圖3.16 隨機給定的毛玻璃空間相位區塊分布 ..........................28圖3.17 解出來的毛玻璃空間相位區塊分布 ............................28 圖3.18 回解相位圖與隨機給定相位圖之相減圖 ........................29圖3.19 平均的近場光強度I_N^Tavg (x,y) ..................................29圖4.1 毛玻璃的影像 ...............................................30 圖4.2 CCD power VS pixel-count圖 ..................................30 圖4.3 正方形校正片 ...............................................31 圖4.4 50μm干涉片 .................................................31 圖4.5 實驗光路圖 .................................................32 圖4.6 某時刻的近場影像(混亂光) ...................................33 圖4.7 某時刻的遠場影像(混亂光) ...................................33 圖4.8 CRE_FN^T (x,y)與不同的遠場pixel之相關圖—A .....................34 圖4.9 CRE_FN^T (x,y)與不同的遠場pixel之相關圖—B .....................34 圖4.10 CRE_FN^T (x,y)與不同的遠場pixel之相關圖—C ....................34 圖4.11 CRE_FN^T (x,y)與不同的遠場pixel之相關圖—D ....................34 圖4.12 CRE_FN^T (x,y)與不同的遠場pixel之相關圖—E ....................35 圖4.13 CRE_FN^T (x,y)與不同的遠場pixel之相關圖—F ....................35 圖4.14 CRE_FN^T (x,y)與不同的遠場pixel之相關圖—G ....................35 圖4.15 CRE_FN^T (x,y)與不同的遠場pixel之相關圖—H ....................35 圖4.16 不同視角俯視毛玻璃的空間相位區塊圖 ........................36 圖4.17 毛玻璃干涉實驗架設 ........................................37 圖4.18 干涉實驗解釋圖 ............................................37 圖4.19 干涉影像(左上、左下)與所測量得到的毛玻璃相位圖(右下) ......38 圖4.20 毛玻璃干涉實驗影像(左)與主光與參考光之干涉條紋(右) ........39 圖4.21 φ_AC之相位(左)與毛玻璃干涉圖(右) ...........................40 圖4.22 φ_BC之相位(左)與毛玻璃干涉圖(右) ...........................40 圖5.1 沒有毛玻璃的系統(簡化圖) ...................................41 圖5.2 Gerchberg-Saxton method I流程圖 ..............................42 圖5.3 不同z距離的回推圖 .........................................42 圖5.4 不同初始條件所得之遞迴結果比較圖 ...........................44 圖5.5 有毛玻璃的系統(簡化圖) .....................................44 圖5.6 Gerchberg-Saxton method II流程圖 ..............................45 圖5.7 有毛玻璃的系統(簡化圖) .....................................46 圖5.8 兩步驟流程圖 ...............................................46 圖5.9 左圖是I_N^Tavg (x,y)、右圖是I_F^Tavg (x,y),(實驗) ....................47 圖5.10 四步驟流程圖 ..............................................47 圖5.11 z1平面光強度(左)與回解之電場E_near空間相位(右) ..............48 圖5.12 遠場光強度(左)與回解之電場E_near的傅立葉轉換(右) ............48 圖5.13 空間相位A_00(左)與毛玻璃空間相位P0 (右) ....................49 圖5.14 電場E的空間相位(左)與E_near的空間相位(右) ..................50 圖5.15 E_near之傅立葉轉換(左)與電場E之傅立葉轉換(右) ..............50 圖5.16 某張z0平面的回推影像(左)與500張回推的平均圖(右) .........51 圖5.17 不同逆行進距離之下,物體影像回解圖的平均—L ...............52 圖5.18 不同逆行進距離之下,物體影像回解圖的平均—T ...............52 圖5.19 後續實驗架構圖I ...........................................54 圖5.20 後續實驗架構圖II ...........................................55 | |
dc.language.iso | zh-TW | |
dc.title | 以Gerchberg-Saxton方法和近遠場二階相關性質重建被毛玻璃遮蔽的物體影像之研究 | zh_TW |
dc.title | Using Gerchberg-Saxton Method and Second Order Correlation of Near Field and Far Field to Reconstruct an Image of Objet Sheltered by Ground Glass | en |
dc.type | Thesis | |
dc.date.schoolyear | 102-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 管希聖(Hsi-Sheng Goan),朱士維(Shi-Wei Chu) | |
dc.subject.keyword | 近場,遠場,傅立葉配對,光學二階相關性,Gerchberg-Saxton Method,毛玻璃, | zh_TW |
dc.subject.keyword | Near-field,Far-field,Fourier pair,Optical second order correlation,Gerchberg-Saxton method,Ground glass, | en |
dc.relation.page | 56 | |
dc.rights.note | 同意授權(全球公開) | |
dc.date.accepted | 2014-08-12 | |
dc.contributor.author-college | 理學院 | zh_TW |
dc.contributor.author-dept | 應用物理所 | zh_TW |
顯示於系所單位: | 應用物理研究所 |
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