臺灣博碩士論文加值系統

本文以2D/3D可切換模式的裸眼立體顯示器為研究目標，為了實際應用於液晶顯示器，將以不同極化的高斯光束( Gaussian light beam profile)入射，推導出此可切換模式的裸眼立體顯示器的輸出光托克斯向量(stokes vector)，再進一步推導出可代表此系統的穆勒矩陣(Mueller Matrix)表示式，並依使用的聲光晶體不同，分為各向同性(isotropic)與各向異性(anisotropic)兩種結果。所得出的穆勒矩陣將有助於日後搭配斯托克斯向量(stokes vector)計算，幫助我們可以更快速的取得輸出光理論值。

A 2D/3D switchable autostereoscopic display system which is constructed and investigated by the operation condition that the input light beam is Gaussian and polarized. With various polarization of light beam, a set of Mueller Matrixes are derived to represent the 2D/3D switchable autostereoscopic display system in a system representation. For difference acousto-optic interaction, different Mueller Matrixes are found for the isotropic and anisotropic acousto-optic interaction. Simulation results are provided to check the validity of the approach and show the feasibility of this approach.

摘 要 i
Abstract ii
致 謝 iii
目 錄 iv
圖索引 vi
表索引 viii
第一章 緒 論 1
1.1 前言 1
1.2 研究動機 2
1.3 論文架構 3
第二章 立體顯示器介紹 4
2.1 立體視覺 4
2.1.1 雙眼視差 5
2.1.2 單眼線索(心理因素) 5
2.1.2.1 直線透視(Linear perspective) 6
2.1.2.2 空間透視(aerial perspective) 6
2.1.2.3 遮蔽(Occlusion) 7
2.1.2.4 陰影(shading) 7
2.1.2.5 紋理遞變(a texture gradient) 8
2.1.2.6 運動視差(motion parallax) 8
2.2 立體顯示器種類 8
2.2.1 立體顯示器(stereoscopic display) 9
2.2.1.1 色差眼鏡(anaglyph glasses) 9
2.2.1.2 色彩分頻眼鏡(Infitec glasses or super anaglyph) 10
2.2.1.3 偏振眼鏡(polarization glasses) 11
2.2.1.4 快門眼鏡(shutter glasses) 12
2.2.2 自動立體顯示器(autostereoscopic display) 13
2.2.2.1 視差屏障(parallax barrier) 13
2.2.2.2 柱狀透鏡(lenticular lens) 14
2.2.2.3 指向性背光(directional backlight) 15
2.2.2.4 全像術(holography) 16
2.2.2.5 體積全像(volumetric holographic) 17
第三章 聲光透鏡原理 18
3.1 聲光透鏡 18
3.2 聲光透鏡推導 23
3.2.1 各向同性聲光透鏡推導 24
3.2.2 各向異性聲光透鏡推導 27
第四章 聲光系統的穆勒矩陣表示式 30
4.1 斯托克斯向量(stokes vector) 30
4.1.1 各向同性斯托克斯向量 32
4.1.2 各向異性斯托克斯向量 34
4.2 穆勒矩陣(Mueller Matrix) 38
4.2.1 穆勒矩陣計算 40
第五章 聲光系統穆勒表示式模擬 46
5.1 聲光系統視覺強度模擬 47
5.2 聲光系統穆勒矩陣(Mueller Matrix)模擬 50
5.2.1 聲光系統元件之各向同性晶體輸出模擬 50
5.2.2 聲光系統元件之各向異性晶體輸出模擬 52
第六章 結論與未來展望 54
6.1 結論 54
6.2 未來展望 54
參考資料 55
附 錄 A 58
附 錄 B 66

[1] R.R. Erickson, “Holographic Medical Imaging: The Laser As A Visual Scalpel-issues and Observations on 3-D Display,” IEEE Journal of Selected Topics in Quantum Electronics, 1996. 2(4): pp. 976-983.
[2] O. Hilliges, D. Kim, S. Izadi, M. Weiss, and A Wilson, “ HoloDesk: Direct 3d Interactions with A Situated See-through Display,” in Proceedings of the SIGCHI Conference on Human Factors in Computing Systems. 2012. ACM: pp. 2421-2430
[3] S. Han and J. Park, “ Holo-haptics: Haptic Interaction with A See-through 3d Display,” in Consumer Electronics (ICCE), 2014 IEEE International Conference on. 2014. IEEE: pp. 512-513
[4] A.J. Woods and C.R. Harris, “Comparing Levels of Crosstalk with Red/Cyan, Blue/Yellow, and Green/Magenta Anaglyph 3D Glasses,” in Stereoscopic Displays and Applications XXI. 2010.
[5] H. Jorke and M. Fritz, “Infitec-A New Stereoscopic Visualisation Tool by Wavelength Multiplex Imaging,” Proceedings of Electronic Displays, 2003.
[6] E.J. Cho and K.M. Lee, “Effects of 3D Displays: A Comparison Between Shuttered and Polarized Displays,” Displays, 2013. 34(5): pp. 353-358.
[7] D.S. Kim, H.S. Lee, S. Shestak and S. Cho, “Flicker-free 3D Shutter Glasses by Retardnace Control of LC Cell,” in IVMSP Workshop, 2013 IEEE 11th. IEEE, 2013.
[8] W. Mphepo, Y. P. Huang and H.P.D. Shieh, “Enhancing the Brightness of Parallax Barrier Based 3D Flat Panel Mobile Displays Without Compromising Power Consumption,” Journal of Display Technology, 2010. 6(2): pp. 60-64.
[9] K. Sakamoto, R. Kimura and M. Takaki, “Parallax Polarizer Barrier Stereoscopic 3D Display Systems,” in Active Media Technology, 2005.(AMT 2005). Proceedings of the 2005 International Conference on. 2005. IEEE.
[10] G.J. Lv, B.C. Zhao, F. Wu, W.X. Zhao, Y.Z. Yang and Q.H. Wang, “Autostereoscopic 3D Display with High Brightness and Low Crosstalk,” Appl Opt, 2017. 56(10): pp. 2792-2795.
[11] Y.H. Tao, Q.H. Wang, J. Gu, W.X. Zhao and D.H. Li, “Autostereoscopic Three-dimensional Projector Based on Two Parallax Barriers,” Optics Letters, 2009. 34(20): pp. 3220-3222.
[12] J. Lee, J. Kim, G. Koo, C. Kim, D. Shin, J. H. Sim and Y.H. Won, “Analysis and Reduction of Crosstalk in the Liquid Lenticular Lens Array,” IEEE Photonics Journal, 2017. 9(3): pp. 1-8.
[13] H. Kwon and H.J. Choi, “A Time-sequential Mutli-view Autostereoscopic Display without Resolution Loss Using A Multi-directional Backlight Unit and An LCD Panel,” in Stereoscopic Displays and Applications XXIII. 2012.
[14] D. Fattal, Z. Peng, T. Tran, S. Vo, M. Fiorentino, J. Brug and R.G. Beausoleil, “A Multi-directional Backlight for a Wide-angle, Glasses-free Three-dimensional Display,” Nature, 2013. 495(7441): pp. 348-351.
[15] P. Krebs, et al., “Homogeneous Free-form Directional Backlight for 3D Display,” Optics Communications, 2017. 397: pp. 112-117.
[16] L. Zhan, et al., “Directional Backlight 3D Display System with Wide-dynamic-range View Zone, High Brightness and Switchable 2D/3D,” Journal of Display Technology, 2016: p. 1.
[17] Y. Sakamoto, N. Hayashi, A. Kato and M. Kinoshita, “3D Holo TV System Based on Multi-view Images,” in 2010 IEEE/ACIS 9th International Conference on Computer and Information Science. 2010:pp. 831-835.
[18] 圖2-1、眼睛與相機構造對照圖science with me. Available from: http://sciencewithme.com/wp-content/uploads/2015/04/eye2C.png.
[19] 瞿錦春,視覺心理學, 2006: 五南圖書出版股份有限公司
[20] 圖2-2、雙眼視差. Available from: http://howthingswork.org/wp-content/uploads/2017/05/Depth-perception-disparity-768x770.png.
[21] 圖2-3、直線透視. Available from: http://www.shutterangle.com/wp-content/uploads/2013/02/pers.png.
[22] 圖2-4、空間透視. Available from: http://www.shutterangle.com/wp-content/uploads/2013/02/aerialpersp.jpg.
[23] 圖2-5、Kanizsa的錯覺方塊圖. Available from: http://www.psy.ritsumei.ac.jp/~akitaoka/kanizsa.gif.
[24] 圖2-6、陰影. Available from: https://www.itsfun.com.tw/cacheimg/f8/3f/468849cb09229b7986e73f75d512.jpg.
[25] J.J. Gibson, “The Perception of Visual Surfaces,” The American Journal of Psychology, 1950. 63(3): pp. 367-384.
[26] 圖2-8、運動視差. Available from: http://www.csus.edu/indiv/w/wickelgren/psyc001/MotionParallax2.JPG, https://travisschirner.files.wordpress.com/2013/06/motion-parallax.png?w=350&h=283.
[27] 圖2-9、色差眼鏡示意圖. Available from: http://photoshopcuwk.blogspot.com/2016/06/membuat-efek-3d-anaglyph.html.
[28] J. Palidwar and C. Aldous, “Multiband Optical Filters Find Applications Outside Fluorescence,” Photonics Spectra, 2012. 46(4): pp. 58-61.
[29] K. Calder, Why do IMAX 3D glasses use linear polarizers whereas most other 3D glasses use circular polarizers?, Available from: https://www.quora.com/Why-do-IMAX-3D-glasses-use-linear-polarizers-whereas-most-other-3D-glasses-use-circular-polarizers
[30] 圖2-12、偏振眼鏡示意圖. Available from: https://s.hswstatic.com/gif/3-d-glasses-polarization-new.gif.
[31] 圖2-13、快門眼鏡運作示意圖. Available from: http://cdn2.expertreviews.co.uk/sites/expertreviews/files/styles/er_main_wide/public/images/dir_444/er_photo_222031.png?itok=6JWjPA-e.
[32] 黃怡菁, 黃乙白, 謝漢萍, 3D 立體顯示技術, 2010, 科學發展月刊.
[33] 圖2-14、視差屏障示意圖與圖2-15、柱狀透鏡示意圖(立體). Available from: http://convert-to-3d.com/blog/3d_without_glasses_the_future_of_3d_technology.html.
[34] N. Holliman, 3D Display Systems, to appear, 2005: pp. 22-28
[35] K.W. Chien and H.P.D. Shieh, “Time-multiplexed Three-dimensional Displays Based on Directional Backlights with Fast-switching Liquid-crystal Displays,” Applied optics, 2006. 45(13): pp. 3106-3110
[36] 圖2-17、(a)全像拍攝光路圖. Available from: https://cdn4.explainthatstuff.com/making-a-hologram.png.
[37] A. Jones, I. McDowall, H. Yamada, M. Bolas and P. Debevec, “Rendering for an Interactive 360 Light Field Display,” ACM Transactions on Graphics (TOG), 2007. 26(3): p. 40
[38] 陳怡如, “主動式聲光透鏡應用於可切換平面/立體影像之裸眼顯示裝置,”台科大博士論文, 2016
[39] B.E. Saleh, M.C. Teich and B.E. Saleh, Fundamentals of Photonics, Vol. 22. 1991: Wiley New York
[40] 安毓英, 曾小東, 光學感測與測量, 2004: 五南
[41] C.W. Tarn, “Spatial Fourier Transform Approach to the Study of Polarization Changing and Beam Profile Deformation of Light During Bragg Acousto-optic Interaction with Longitudinal and Shear Ultrasonic Waves in Isotropic Media,” JOSA A, 1997. 14(9): pp. 2231-2242
[42] K. Iizuka, Elements of Photonics Volume I: In Free Space and Special Media, Vol. 1. 2002: John Wiley & Sons
[43] I.J. Chen and C.W. Tarn, “A 2D/3D Switchable Autostereoscopic Display System, an Acousto-Optic Lens Approach,” Optik-International Journal for Light and Electron Optics, 2015. 126(23): pp. 4061-4065
[44] A.A. Urusovskaya, I.S. Zheludev, A.V. Zalessky, S.A. Semiletov, B.N. Grechushnikov, I.G. Chistyakov and S.A. Pikin, Modern Crystallography IV: Physical Properties of Crystals, Vol. 37. 2012: Springer Science & Business Media
[45] I.C. Chang, “Acoustooptic Devices and Applications,” IEEE Transactions on Sonics and Ultrasonics, 1976. 23(1): p. 2
[46] H.C. Fledelius and Max Stubgaard, "Changes in Eye Position during Growth and Adult Life: As based on Exophthalmometry, Interpupillary Distance, and Orbital Distance Measurements," Acta ophthalmologica 64.5 (1986): pp. 481-486.