| 研究生: |
謝登億 Teng-I Hsieh |
|---|---|
| 論文名稱: |
以波前量測平板玻璃折射率與厚度 Measure Refractive Index and Thickness of the glass plate by Wavefront Testing |
| 指導教授: |
梁肇文
Chao-Wen Liang |
| 口試委員: | |
| 學位類別: |
碩士 Master |
| 系所名稱: |
理學院 - 光電科學與工程學系 Department of Optics and Photonics |
| 論文出版年: | 2020 |
| 畢業學年度: | 108 |
| 語文別: | 中文 |
| 論文頁數: | 82 |
| 中文關鍵詞: | Shack-Hartmann波前檢測 、平板玻璃 、折射率與厚度 、光學像差 |
| 外文關鍵詞: | Shack-Hartmann Wavefront Testing, plate glass, Refractive Index and Thickness, Optical aberration |
| 相關次數: | 點閱:11 下載:0 |
| 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 |
光學玻璃是製造光學鏡頭、光學儀器的主要材料,因此在現今的產業界中被廣泛應用。玻璃擁有許多的特性,其中厚度與折射率是最常被業界用來描述的物理參數,因為最常被業界使用,所以量測的精準度是必須的。
測量玻璃物理參數的方法有很多,最小偏向角法、干涉測量法與阿貝折射儀等等。本篇研究論文是基於本實驗室先前所提出的使用波前檢測於折射率及色散之應用的改良,並使用本實驗室研究多年與開發的高動態範圍Shack-Hartmann波前檢測器,對一光學平板玻璃樣品進行離軸旋轉,利用平行平板玻璃的光學成像偏移特性,可以得到不同折射率的玻璃因不同的旋轉角度造成的不同偏移程度來確定偏移量和旋轉角度之間的關係式,並利用波前檢測器將成像的偏移量轉化為波前數據,從而計算出平板玻璃樣品厚度與折射率等物理參數。
有別於其他量測玻璃物理參數的方法,此方法不需要特製的三稜鏡,並且可以簡單快速的進行量測。
Optical glass is the main material for manufacturing optical lenses and optical instruments, so it is widely used in today’s industry. Glass has many characteristics, among which thickness and refractive index are most commonly used physical parameters described by the industry. Because they are most commonly used by the industry, the accuracy of measurement is necessary.
There are many methods for measuring the physical parameters of glass, such as minimum deflection angle method, total reflection measurement method, Abbe refractometer, etc. This research paper is based on the improvement of the paper which previously proposed by this laboratory: Using Wavefront Sensor for The Application of Refractive Index and Dispersion, and uses the high dynamic range Shack-Hartmann wavefront sensor to measure the parallel plane plate glass. We can get the aberration as a function of parallel plane plate glass’s refractive index and thickness and rotation angle by implementing an off-axis rotation of an optical glass sample, and using the optical imaging shift characteristics of parallel plane plate glass. The wavefront sensor is used to convert the imaging shift into wavefront data, thereby calculating glass physical parameters such as the thickness and refractive index.
Unlike other methods of measuring physical parameters of glass, this method does not require a special dispersion prism and can be easily and quickly measured.
[1] Wikipedia, c.:Glass.19 May 2020 18:10 UTC,取自 https://en.wikipedia.org/w/index.php?title=Glass&oldid=957612983
[2] Abbe, E., Neue Apparate zur Bestimmung des Brechungs-und Zerstreuungsvermögens fester und flüssiger Körper, Mauke's Verlag (Hermann Dufft),
[3] Chandra, B. and Bhaiya, S. J. A. J. o. P., "A simple, accurate alternative to the minimum deviation method of determining the refractive index of liquids ", 51(2), 160-161, 1983.
[4] 汪晓春, and 杨博文, and 光学仪器, 何. J., "一种基于迈克尔逊干涉仪测量透明液体折射率的方法 ", 34(5), 1-4, 2012.
[5] Fendley, J. J. P. E., "Measurement of refractive index using a Michelson interferometer ", 17(5), 209, 1982.
[6] Nemoto, S. J. A. o., "Measurement of the refractive index of liquid using laser beam displacement ", 31(31), 6690-6694, 1992.
[7] Singh, S. J. P. E., "Measuring the refractive index of a liquid using a laser ", 37(2), 152, 2002.
[8] Singh, S. J. P. e., "Diffraction method measures refractive indices of liquids ", 39(3), 235, 2004.
[9] Bhattacharya, J. C., "Measurement of the refractive index using the Talbot effect and a moire technique ", Applied Optics, 28(13), 2600-2604, 1989.
[10] 邱宣融,"使用波前檢測於折射率及色散之量測應用",國立中央大學,碩士,2018.
[11] 花世群, and 骆英, and 中国激光, 洪. J., "基于等厚干涉原理的液体折射率测量方法 ", 33(11), 1542-1546, 2006.
[12] Docchio, F., and Corini, S., and Perini, M., and Gasana, R. J. I. T. o. i., and measurement, "A simple and reliable system for measuring the refractive index of liquids using a position-sensitive detector ", 44(1), 68-70, 1995.
[13] Wikipedia, c.:Fermat's principle.20 May 2020 05:29 UTC,取自 https://en.wikipedia.org/w/index.php?title=Fermat%27s_principle&oldid=957712121
[14] Wyant, J. and Creath, K., "Basic Wavefront Aberration Theory for Optical Metrology ", Appl Optics Optical Eng, 11(1992.
[15] Mahajan, V. N., Optical imaging and aberrations: Ray geometrical optics, SPIE press,
[16] Smith, W. J., Modern optical engineering, Tata McGraw-Hill Education,
[17] Salverda, J., "Comparison of different wavefront reconstruc-tion methods ",
[18] Platt, B. C. and Shack, R. J. J. o. R. S., "History and Principles of Shack-Hartmann Wavefront Sensing ", 17(S573, 2001.
[19] Carvalho, L. A. V., and Castro, J. C., and Carvalho, L. A. V., "Measuring higher order optical aberrations of the human eye: techniques and applications ", Brazilian journal of medical and biological research = Revista brasileira de pesquisas medicas e biologicas, 35(11), 1395-1406, 2002.
[20] Jiang, Z., and Gong, S., and Dai, Y. J. O., and Technology, L., "Numerical study of centroid detection accuracy for Shack-Hartmann wavefront sensor ", 38(8), 614-619, 2006.
[21] Yoon, G. J. A. O. f. V. S., "Wavefront sensing and diagnostic uses ", 63-81, 2006.
[22] Fan, P. S.,"A Similarity-Guided Spots Sorting Method to Increase the Dynamic Range of a Shack Hartmann Sensor",National Central University,2013.
[23] Sheppard, C. J., "Balanced diffraction aberrations, independent of the observation point: application to a tilted dielectric plate ", J Opt Soc Am A Opt Image Sci Vis, 30(10), 2150-2161, 2013.
[24] Braat, J. J. A. o., "Analytical expressions for the wave-front aberration coefficients of a tilted plane-parallel plate ", 36(32), 8459-8467, 1997.
[25] 郭韋廷,"應用Ronchi Test於準直儀精密校正",國立中央大學,碩士,2019.
[26] Petrov, Y.:Optometrika.https://www.mathworks.com/matlabcentral/fileexchange/45355-optometrika
[27] Yin, H., and Gao, Z., and Yuan, Q., and Chen, L., and Bi, J., and Cao, X., and Huang, J. J. J. A., "Wavefront propagation based on the ray transfer matrix and numerical orthogonal Zernike gradient polynomials ", 36(6), 1072-1078, 2019.
[28] Williams, G. J. T. A. M. M., "Overdetermined systems of linear equations ", 97(6), 511-513, 1990.