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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
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dc.contributor.advisor | 陳銘堯(Ming-Yau Chern) | |
dc.contributor.author | Murray S.Z. Lee | en |
dc.contributor.author | 李尚真 | zh_TW |
dc.date.accessioned | 2021-06-16T10:46:24Z | - |
dc.date.available | 2013-08-20 | |
dc.date.copyright | 2013-08-20 | |
dc.date.issued | 2013 | |
dc.date.submitted | 2013-08-12 | |
dc.identifier.citation | 參考書目
[1] G. Können, Polarized light in nature. Cambridge University Press Archives, 1985. [2] R. P. Feynman, R. B. Leighton, and M. Sands, The Feynman Lectures on Physics, vol. 2. Addison-Wesley, 1964. [3] D. J. Griffiths, Introduction to Electrodynamics. Addison-Wesley, 3rd ed., 1999. [4] J. D. Jackson, Classical Electrodynamics. John Wiley & Sons, Inc., 3rd ed., 1998. [5] D. Halliday, R. Resnick, and J. Walker, Fundamentals of Physics. John Wiley & Sons, Inc., 8th ed., 2007. [6] B. H. Crawford, “The scotopic visibility function,” Proceedings of the Physical Society. Section B, vol. 62, pp. 321–334, 1949. [7] T. Smith and J.Guild, “The c.i.e. colorimetric standards and their use,” Transactions of the Optical Society, vol. 33, pp. 73–134, 1931. [8] K. B. Wolf and G. Krotzsch, “Geometry and dynamics in refracting systems,” European Journal of Physics, vol. 16, pp. 14–20, 1995. [9] R. P. Feynman, R. B. Leighton, and M. Sands, The Feynman Lectures on Physics, vol. 1. Addison-Wesley, 1964. [10] D. Gabor, “Microscopy by reconstructed wave-fronts,” Proceedings of the Royal Society of London, vol. 197, pp. 454–487, 7 1949. [11] J. Dainty, Laser Speckle and Related Phenomena. Berlin and New York, Springer-Verlag, 1984. [12] P. Zamperoni, “Image enhancement,” Advances in Imaging and Electron Physics, vol. 92, pp. 1–77, 1995. [13] M. Giglio, M. Carpineti, A. Vailati, and D. Brogioli, “Near-field intensity correlations of scattered light,” Applied optics, vol. 40, no. 24, pp. 4036–4040, 2001. [14] P. Hariharan, Basics of holography. Cambridge University Press, 2002. [15] A. D. Stein, Z. Wang, and J. S. Leigh Jr, “Computer-generated holograms: a simplified ray-tracing approach,” Computers in Physics, vol. 6, p. 389, 1992. [16] R. W. Meier, “Magnification and third-order aberrations in holography,” JOSA, vol. 55, no. 8, pp. 987–992, 1965. [17] J. W. Goodman, Speckle phenomena in optics: theory and applications. Roberts & Co, 2007. [18] S. Nakadate, T. Yatagai, and H. Saito, “Digital speckle-pattern shearing interferometry,”Appl. Opt., vol. 19, pp. 4241–4246, Dec 1980. [19] J. Dyson, Interferometry as a measuring tool. Machinery Publishing, 1970. [20] K. Yee, “Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media,” Antennas and Propagation, IEEE Transactions on, vol. 14, no. 3, pp. 302–307, 1966. [21] O. Kafri and I. Glatt, The physics of moiré metrology. Wiley New York, 1990. [22] I. Amidror, The theory of the moiré phenomenon. Springer, 2006. [23] J. R. Janesick, Scientific charge-coupled devices. SPIE press Bellingham, WA, 2001. [24] R. Shankar, Principles of quantum mechanics. Plenum Press New York, 2nd ed., 1994. [25] O. K. Ersoy, Diffraction, fourier optics and imaging. Wiley-Interscience, 2006. [26] E. Hecht, Optics. Addison Wesley, 4th ed., 2002. [27] G. B. Arfken, H. J. Weber, and F. E. Harris, Mathematical methods for physicists. Academic press, 2005. [28] D. J. Griffiths, Introduction To Quantum Mechanics. Pearson Education, Inc., 2nd ed., 2005. [29] C. F. Bohren and D. R. Huffman, Absorption and scattering of light by small particles. Wiley-Vch, 2008. [30] D. Meister and J. E. Sheedy, Introduction to Ophthalmic Optics. SOLA Optical USA, 2000. [31] C. Poynton, Digital Video and HDTV: Algorithms and Interfaces. Morgan Kaufmann, 2012. [32] G. Wyszecki and W. S. Stiles, Color science: Concepts and methods, quantitative data and formulae. John Wiley & Sons, Inc., 2nd ed., 2000. | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/61099 | - |
dc.description.abstract | 對於描述古典光學系統,光跡追蹤法有著非常準確的預測。然而一旦應用到波動性很強的現象時,光跡追蹤往往會得到錯誤的結果。在本論文中,我們從光跡的概念上繼續衍生出波動相位的物理量,並且勾勒一個適用於大尺度繞射的模型。所謂的大尺度繞射,是產生繞射的結構遠比繞射波長要大數萬倍,以論文中所提供的實驗而言,是由氦氖雷射通過一片蔡司鏡片之後所形成的干涉現象。模型於底片處重建了成千上萬的干涉條紋,這些條紋可以視為透鏡的光學指紋。這個模型同時也會產生大約三十個左右的特徵紋路,稱為「摩爾紋」;對於判斷每個模型參數,摩爾紋非常有用,同樣地摩爾紋也適用於判斷模型中一處特定的波函數計算。另外,相較於以格林函數處理波動問題,由於文中所介紹的方法最多只需要一重積分——積分型式取決於光程轉換為相位的細節——因此這也是一種快速演算法。 | zh_TW |
dc.description.abstract | It is classically accurate to apply a traditional ray-tracing schema to an optical system. However, calculations generally go wrong when a ray-based analysis is imposed to cooperate with a wavelike stage. In this report, we extend the concept of rays to include wave phase quantities and derive a model to investigate a large scale interference scenario, in which the fringes come from a He-Ne laser conducting interference on a piece of Zeiss® eyeglass. This model reconstructs thousands of distinct fringes, considered the optical fingerprint of the lens, over the digital film. It in addition outputs about 30 characteristic patterns, called Moiré patterns, which are valuable when judging all the parameters of the model and a specific rule of wave function arithmetic. It is also a fast algorithm compared to a Green's function approach for that it requires a single integration at most, or no integration, depending on the conversion of optical path length to wave phase. | en |
dc.description.provenance | Made available in DSpace on 2021-06-16T10:46:24Z (GMT). No. of bitstreams: 1 ntu-102-R98222058-1.pdf: 9526612 bytes, checksum: b1129f72729476b7a48bce7e52db1d5d (MD5) Previous issue date: 2013 | en |
dc.description.tableofcontents | 目錄
口試委員會審定書................................i 誌謝...........................................ii 中文摘要.......................................iv Abstract .......................................v 第一章 緒論.....................................1 1.1 同學來訪....................................2 1.2 一則簡單的照明問題..........................2 1.2.1 業界的聲音................................3 1.2.2 衍生而無解的難題..........................3 1.3 下一個「如果」..............................4 1.3.1 想像中的全像術............................4 1.3.2 相位問題(Phase problem) ..................5 1.4 光學雜斑現象(Speckle phenomena in optics) ..5 1.4.1 難以處理的斑點模型........................6 1.4.2 重回全像術................................7 1.4.3 來自教科書的重大打擊......................7 1.5 數公分與數公尺的豹紋........................8 1.5.1 有序的雜斑................................8 1.5.2 似乎是干涉儀的原理........................9 1.6 底片中的光學指紋...........................10 1.6.1 需要更有效的光學模型.....................10 1.6.2 再回到光跡追蹤...........................11 1.7 摩爾紋(Moiré pattern) .....................12 1.8 完整的干涉模型.............................13 1.9 干涉的波函數...............................14 1.9.1 波函數的進一步討論.......................14 1.9.2 關於干涉用的波函數.......................15 第二章 光跡追蹤(Ray-tracing) ..................16 2.1 光跡描述...................................16 2.2 光線在介面上的行為.........................18 2.3 透鏡與光源模型.............................19 2.3.1 模型中的對稱性...........................20 2.3.2 光通量計算...............................21 2.3.3 對稱權重.................................21 2.3.4 點光源的強度描述.........................22 2.4 模擬結果...................................23 2.5 光跡模型的討論.............................24 2.5.1 光源模型與非球面鏡.......................25 第三章 攜行相位的光跡追蹤......................26 3.1 波動方程式.................................26 3.2 馬克士威方程式(Maxwell's equation) ........27 3.3 純量波近似與前提...........................28 3.4 純量波方程式的解...........................28 3.4.1 符合光跡的波動解.........................29 3.4.2 波動解的邊界條件.........................30 3.5 干涉實驗設計...............................32 3.5.1 實驗參數.................................32 3.5.2 鏡片的幾何參數...........................33 3.6 干涉實驗結果...............................34 3.6.1 鑽石狀的摩爾紋...........................35 3.6.2 可重現的扭曲特徵.........................36 3.6.3 干涉如何產生.............................37 3.7 波動相位的模型描述.........................38 3.8 光跡加上相位的描述.........................39 3.8.1 光跡轉換為波動相位的第一種描述...........39 3.8.2 光跡轉換為波動相位的第二種描述...........40 3.9 系統的光學模型.............................41 3.9.1 旋轉對稱與有限元素分割...................42 3.9.2 光跡遷移與波前重建.......................43 3.9.3 像素反應與拜爾濾波器(Bayer filter) ......43 3.10 模型中的兩類干涉..........................45 3.10.1 第一類干涉..............................45 3.10.2 第二類干涉..............................46 3.11 實驗與模擬................................47 3.11.1 遠離焦點的成像..........................47 3.11.2 焦點附近的成像..........................50 3.11.3 細部特徵................................50 3.11.4 對於波函數敏感的特徵....................52 3.12 波動模型的討論............................53 第四章 結論....................................54 參考書目.......................................56 附錄 A 流明值..................................59 附錄 B 球面關係................................60 B.1 球面上的弧長...............................60 B.2 α 與 θ 之間的微分關係....................61 B.3 最大入射角的位置...........................61 附錄C 波動向量k 的環場積.......................62 | |
dc.language.iso | zh-TW | |
dc.title | 攜行相位的光跡追蹤法 | zh_TW |
dc.title | Incorporating a Ray-tracing Framework with Wave Phase Quantities in an Interference Scenario | en |
dc.type | Thesis | |
dc.date.schoolyear | 101-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 石明豐(Ming-Feng Shih),駱芳鈺(Fang-Yuh Lo) | |
dc.subject.keyword | 光跡追蹤,波動方程式,有限元素法,同調光源,一次光學, | zh_TW |
dc.subject.keyword | ray-tracing,wave equation,finite element method,coherent light source,primary optics, | en |
dc.relation.page | 62 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2013-08-12 | |
dc.contributor.author-college | 理學院 | zh_TW |
dc.contributor.author-dept | 物理研究所 | zh_TW |
顯示於系所單位: | 物理學系 |
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