簡易檢索 / 詳目顯示

研究生: 王宏進
WANG, HUNG-CHIN
論文名稱: 幾何光學系統的鏡片位姿靈敏度分析與楔形稜鏡的像差分析
The geometrical sensitivity analysis of optical element’s pose and aberration investigation of wedge prism
指導教授: 林昌進
Lin, Psang-Dain
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: 2004
畢業學年度: 92
語文別: 中文
論文頁數: 146
中文關鍵詞: 靈敏度像差稜鏡
外文關鍵詞: prism, sensitivity, aberration
相關次數: 點閱:92下載:7
分享至:
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報
  •   本文主要利用4×4齊次座標轉換矩陣與幾何光學Snell定理,推導歪斜光線追蹤法。利用歪斜光線追蹤法,推導鏡片位姿靈敏度的公式和楔形稜鏡像差公式的建模與分析。
    鏡片位姿靈敏度分析在光學系統的設計過程相當重要,鏡片位姿靈敏度分析,可探討單一光學邊界旋轉及移動對光路的影響。通常一光學系統皆由許多光學元件組合而成,且每一光學元件皆有其位姿靈敏度。累乘每個光學系統的位姿靈敏度,就可得知整個系統的位姿靈敏度。
    匯聚光經過楔形稜鏡後,通常會產生像差。本文分別以賽得像差理論和歪斜光線追蹤法建立楔形稜鏡的像差模型。對匯聚光楔形稜鏡系統的像差現象進行分析,並以成像面的光線點陣圖來驗證模型的準確度。

      The purpose of this paper is to derive the geometrical sensitivity analysis of optical’s pose and analysis and model the formula of wedge prism aberratioin. This method is derived from 4×4 homogeneous coordinate transformation matrix and geometrical optics Snell’s law.
    The geometrical sensitivity analysis of optical’s pose is important in optical system design, because the geometrical sensitivity analysis of optical’s pose can know the influence of optical path caused by the rotating and moveing of one optical element.Optical system is consist of many optical element, and every optical element has sensitivity .We can know the sensitivity of whole optical system by multiply every optical element’s sensitivity.
    It introduces aberration in most configurations after convergent light has pass through wedge prism.In this paper, seidel prism aberration formula and formula derived by using ray tracing are prented. The phenomenon of prism aberration is analysised. Spot diagram in the image plan is presented for testing and verifying the accuracy of model.

    摘要 Ⅰ 英文摘要 Ⅱ 誌謝 Ⅲ 目錄 Ⅳ 圖目錄 Ⅶ 第一章 緒論 1 1.1 前言 1 1.2 文獻回顧 2 1.3 像差概述 2 1.4 研究目的 7 1.5 研究方法與步驟 8 第二章 歪斜光線追蹤 12 2.1 齊次座標轉換 12 2.2 幾何光學基本原理 14 2.3 歪斜光線追蹤與其靈敏度分析16 2.4 幾何光學的折反射 17 2.5 平坦邊界歪斜光線追蹤20 2.6 球面邊界歪斜光線追蹤23 2.7 結論- 26 第三章 單一透鏡之光線追蹤36 3.1 透鏡之光線追蹤 36 3.2 轉換矩陣與六個獨立參數的微變量關係39 3.3 平面邊界轉換矩陣微變量對折射光線微變量關係 40 3.4 球面邊界轉換矩陣微變量對折射光線微變量關係 42 3.5 鏡片轉換矩陣微變量對折射光線微變量關係 43 第四章 賽得像差簡介 53 4.1 全真映像與像差 53 4.2 波面和光線行進方向之關係 54 4.3 波面像差和橫向像差之關係 55 4.4 像差類型理論 58 4.5 賽得像差的初階像差公式推導 61 第五章 稜鏡賽得像差公式 75 5.1 折射面之像差總合 75 5.2平行面鏡片賽得像差公式83 5.3 稜鏡之賽得像差 84 第六章 歪斜光線追蹤法於稜鏡像差 93 6.1 稜鏡的像差 93 6.2 稜鏡參數與座標系 94 6.3 歪斜光線追蹤 96 6.4 主光線追蹤 98 6.5 邊緣光線追蹤 99 6.6 近軸光線追蹤 105 6.7 像差公式推導 109 6.8 點陣圖 111 6.9 稜鏡結構及光束參數對於像差之影響 112 第七章 討論和建議 128 參考文獻 130 附錄 131 自敘 146

    1.V.N.Mahajan,“Zernike annualr polynomials for imaging systems with annular pupils, ”J.Opt. Soc. Am. 71,75-78,1408;also “Zernike annular polynomials and optical aberrations of systems with annular pupils,”Appl. Opt.33,81256-8171(1994).
    2.Virendra N. Mahajan “Optical Imaging And Aberration-Part1 Ray Geometrical Optics”Spie Optical Engineering Press
    3.R.Gelles,“Off-center aberrations in nonaligneded systems,”
    J. Opt.Soc.Am.68,1250-1254(1978).
    4.P. L.Ruben,“Aberrations arising from decenterations and tilts,”J.Opt. Soc.Am.54,45-52(1964).
    5.J. L. Rayces,“Exact relations between wave aberration and ray aberration,” Optica Acta 11,85-88(1964)
    6.K.Miyamoto,“On a comparison between wave optics and geometrical optics by using Fourier analysis.I. General Theory,”J. Opt. Soc. Am. 48,57-63(1958);“Π.Astigmatism,coma,spherical aberration”48,567-575(1958);“Ⅲ.Image evalution by spot diagram ,”49,35-40(1959);also,“Wave optics and geometrical optics in optical design”Progress in Optics,Vol.1,31-65(1960).
    7.James W. Howard “Formulas for the coma and astigmatism of wedge prisms used in converging light” 1 December 1985/Vol. 24,No.23/APPLIED OPTICS
    8.Richard P. Paul “ROBOT MANIPULATORS: MATHEMATRICS, PROGRAMMING,AND CONTROL The Computer Control of Robot Manipulators”p65-p85
    9.WARREN J.SMITH’S“Modern Optical Engineering”THIRD EDITION MCGRAW-HILL INTERNATIONAL EDITIONS. p100-p104.
    10.趙凱華,鍾錫華編著,光學,儒林圖書公司,初版2刷1997年4月.
    11.張宏著,幾何光學,國立編譯館主編,東華書局印行。
    12.W. T. Welford FRS “Aberrations of Optical Systems” Adam Hilger Bristol,Philadelphia and New YORK

    下載圖示 校內:立即公開
    校外:2004-06-30公開
    QR CODE