臺灣博碩士論文加值系統

本論文基於徑向偏極光束，提出一種簡單方法用以同時測量波片的相位延遲量和快軸角度。此徑向偏極光束將提供0度到360度連續的線偏振光。當光源入射到待測物波片，使得各個偏振態對波片產生不同的光強度變化，經由檢偏板及光偵測器擷取光強度圖，利用得到的光強度資訊代回所推導的特殊方程式中，即可同時獲得相位延遲量以及快軸角度。實驗中，利用已知的二分之一波片和四分之一波片來驗證此方法的可行性，實驗結果與理論值間有很好的對應性。由於此方法只需擷取兩張光強度圖，因此具有快速量測的優點，此外，架構簡單也方便操作。

This thesis proposes a simple method for simultaneously measuring the phase retardation and fast axis angle of wave plates. It is based on the radial polarized beams that can be supplied linearly polarized lights from 0 to 360 degrees. In the apparatus, when the radially polarized light beams passes through a wave plate, every pixel have different intensity variations. The intensity variations patterns can be captured by charge-coupled device from analyzer. By analyzing the information of the intensity variations patterns, the phase retardation and fast axis angle of wave plates can be simultaneously obtained with a specially derived equation. To validate the proposed method, the half-wave plate and quarter-wave plate were measured experimentally. The measured results were determined to be in good agreement with the theoretical data. Because the proposed method requires only two intensity variations patterns, it has the advantages of easy operation and rapid measurement. Additionally, this method has a simple structure and ease of installation and operation.

摘 要 i
Abstract ii
誌 謝 iii
圖目錄 vii
表目錄 ix
第一章 緒論 1
1.1 研究動機 1
1.2 本文架構 3
第二章 文獻回顧 4
2.1 前言 4
2.2 測量相位延遲量和快軸角度方法 4
2.2.1 分光法 4
2.2.2 旋轉法 7
2.2.3 外差干涉法 9
2.3 小結 10
第三章 柱狀向量光束之相關介紹 11
3.1 前言 11
3.2 柱狀向量光束 11
3.3 柱狀向量光束產生方法 12
3.3.1 腔內式 12
3.3.2 腔外式-螺旋相位板 12
3.3.3 腔外式-Mach Zehnder干涉儀 14
3.4 徑向轉換波片 15
3.4.1 徑向轉換波片製作 15
3.4.2 徑向轉換波片品質 16
3.5 小結 18
第四章 測量原理與實驗模擬結果 19
4.1 前言 19
4.2 測量原理 19
4.3 實驗結果 22
4.3.1 實驗器材 22
4.3.2 波片量測 22
4.4 討論 40
4.4.1 穩定度量測 40
4.4.2解析度分析 43
4.5 小結 44
第五章 結論 45
參考文獻 46

[1] Chengke Xie, Aijun Zeng, Huijie Huang, Linglin Zhu and Qiao Yuan, and Fanyue Li, “Real-time measurement of retardation and fast axis azimuth for wave plates,” Journal of Optical Technology 82(5), 294-297 (2015).
[2] L. Liu, A. Zeng, B. Chen, F. Li, L. Zhu, and H. Huang, “Simultaneous measurement of small birefringence magnitude and direction in real time,” Opt. Laser Eng. 53, 19–24 (2014).
[3] Wei Wang, Zhiqiang Liang, Chang Li, Yanyan Yin, Shiliang Wu, “Two-Intensity Measurement Method for Determining the Fast Axis and Phase Retardation of a Wave Plate,” Symposium on Photonics and Optoelectronics (SOPO) (2012).
[4] Wei Wang, and Jianzhong Chen, “Simple method for simultaneous determination of the phase retardation and fastaxis of a wave plate,” Optik - International Journal for Light and Electron Optics, 124(20), 4359–4363 (2013).
[5] Jing-Fung Lin, Yu-Lung Lo, “The new circular heterodyne interferometer with electro-optic,” Optics Communications, 260, 486–492 (2006).
[6] Q. Zhan, “Cylindrical vector beam: from mathematical concepts to applications,” Adv. Opt. Photon. 1(1), 1-57 (2009).
[7] K. J. Moh, X.-C. Yuan, J. Bu, R. E. Burge, and Bruce Z. Gao, “Generating radial or azimuthal polarization by axial sampling of circularly polarized vortex beams,” Applied Optics, 46(30), 7544-7551 (2007).
[8] Steve C. Tidwell, Dennis H. Ford, and Wayne D. Kimura, “Generating radially polarized beams interferometrically,” Applied Optics, 29(15), 2234-2239 (1990).
[9] Fang-Wen Sheu and Shu-Yen Liu, “Using a Mach-Zehnder interferometer to measure the phase retardations of wave plates,” OSA Technical Digest Series (2007).
[10] N.N. Nagib, M.S. Bahrawi, L.Z. Ismail, M.H. Othman, A.W. Abdallah, “Evaluation of a photometric method for retardance measurement of a quarter wave phase plate,” Optics & Laser Technology 69, 77–79 (2015).
[11] Shaun M. Wilson, Vinod Vats, and Patrick H. Vaccaro, “Time-domain method for characterizing retardation plates with high sensitivity and resolution,” Journal of the Optical Society of America, 24(9), 2500-2508 (2007).
[12] Weixin Liu, Ming Liu, and Shulian Zhang, “Method for the measurement of phase retardation of any wave plate with high precision,” Applied Optics, 47(30), 5562-5569 (2008).
[13] Aijun Zeng, Fanyue Li, Linglin Zhu, and Huijie Huang, “Simultaneous measurement of retardance and fast axis angle of a quarter-wave plate using one photoelastic modulator,” Applied Optics, 50(22), 4347-4352 (2011).
[14] P.L. Lin, C.Y. Han, Y.F. Chao, “Three-intensity measurement technique and its measurement in elliptical retarder,” Optics Communications, 281(13), 3403–3406 (2008)
[15] M. Stalder and M. Schadt, “Linearly polarized light with axial symmetry generated by liquid-crystal polarization converters,” Optics Letters, 21(23), 1948-1950 (1996).
[16] Ignacio Moreno ; Jorge Albero ; Jeffrey A. Davis ; Don M. Cottrell ; Johnathan B. Cushing, “Polarization manipulation of radially polarized beams,” Opt. Eng., 51(12), 128003 (2012).