在本論文中，我們以相位疊加法為基礎，建立同軸式體積全像儲存系統的模型並推導出系統繞射公式之近軸近似解。以此公式為基礎，分析各項參數對系統的影響，包含參考光分布、光源波長、透鏡焦距以及記錄介質厚度。接著在參考光部分加入相位調製，分析相位調製對系統的點光源擴散響應以及位移選擇性的影響。最後分析不同情況下系統的誤碼率以及訊雜比，作為光儲存系統效能的評估標準。

In this thesis, we establish the theoretical model of the collinear holographic storage system and derive the formula for readout lights under paraxial condition based on VOHIL model. According to the formula, we analyze the key properties of the holographic system, including the effects caused by the reference beam, by the wavelength, by the focal length of the lens, and by the thickness of the recording medium. Besides, we analyze the point spread function and the shifting selectivity when the reference light is phase modulated. Finally we simulate the BER and the SNR of the systems.

[1] J. W. Goodman, Introduction to Fourier Optics, 2nd eds. (McGraw-Hill, New York, 2002).
[2] H. Coufal, and G.W. Burr, “Optical data storage,” Chapter 26, International Trends in Applied Optics, ed., A. Guenther, SPIE, 2002.
[3] H. J. Coufal, D. Psaltis, and G. T. Sincerbox, Holographic data storage, (Springer, New York, 2000).
[4] G. W. Burr, “Holographic storage,” Encyclopedia of Optical Engineering, ed., R. B. Johnson and R. G. Driggers, Marcel Dekker, New York, 2003.
[5] Hesselink, L., Orlov, S.S., Bashaw, M.C., "Holographic data storage systems," Proc. of IEEE 92, no.8, pp. 1231-1280, Aug. 2004
[6] D. Gabor, “A new Microscopic principle,” Nature 161, 777 (1948).
[7] P. J. van Heerden, “Theory of optical information storage in solids,” Appl. Opt. 2, 393-400 (1963).
[8] B. L. Booth, "Photopolymer material for holography," Appl. Opt. 14, 593-601 (1975).
[9] A. Pu and D. Psaltis, "High-density recording in photopolymer-based holographicthree-dimensional disks," Appl. Opt. 35, 2389- 2398 (1996).
[10] K. Curtis, A. Pu, and D. Psaltis, "Method for holographic storage using peristrophic multiplexing," Opt. Lett. 19, 993-994 (1994).
[11] S. S. Orlov, W. Phillips, E. Bjornson, Y. Takashima, P. Sundaram, L. Hesselink, R. Okas, D. Kwan, and R. Snyder, "High-Transfer-Rate High-Capacity Holographic Disk Data-Storage System," Appl. Opt. 43, 4902-4914 (2004).
[12] H. Horimai, and X. Tan, “Collinear technology for a holographic versatile disk,” Appl. Opt. 45, 910-914 (2006).
[13] H. Horimai and J. Li, "A novel collinear optical setup for holographic data storage system," in Optical Data Storage 2004, B. V. K. Vijaya Kumar and H. Kobori, eds., Proc. of SPIE 5380, 297-303 (2004).
[14] H. Horimai, X. Tan, and J. Li, "Collinear holography," Appl. Opt. 44, 2575-2579 (2005).
[15] H. Horimai, and Y. Aoki, “Holographic Versatile Disc (HVD),” in International Symposium on Optical Memory and Optical Data Storage, OSA Technical Digest Series (Optical Society of America, 2005), paper ThE6.
[16] H. Horimai, and X. Tan, “Advanced Collinear Holography,” Opt. Rev. 12, 90-92 (2005).
[17] H. Horimai, and X. Tan, “Holographic Versatile Disc System,” in SPIE Symposium on Optics & Photonics 2005, Organic Holographic Materials and Applications Ⅲ (San Diego, California, USA, 2005), Klaus Meerholz eds., Proc. of SPIE 5939, 1-9 (2005).
[18] H. Horimai and X. Tank, “Read-only holographic versatile disc system using laser Read-only holographic versatile disc system using laser diode,” Proc. of SPIE 6252, 62520Z-1- 62520Z-5 (2006).
[19] T. Shimura, S. Ichimura, R. Fujimura, K. Kuroda, X. Tan, and H. Horimai, "Analysis of a collinear holographic storage system: introduction of pixel spread function," Opt. Lett. 31, 1208-1210 (2006).
[20] T. Shimura, S. Ichimura, R. Fujimura, K. Kuroda, X. Tan, and H. Horimai, "Calculation of the Pixel Spread Function with a Simple Numerical Model for the Collinear Holographic Storage System," in International Symposium on Optical Memory and Optical Data Storage, OSA Technical Digest Series (Optical Society of America, 2005), paper PD6.
[21] T. Shimura, Y. Ashizuka, M. Terada, R. Fujimura, and K. Kuroda, " What Limits the Storage Density of the Collinear Holographic Memory?" in Optical Data Storage, OSA Technical Digest Series (CD) (Optical Society of America, 2007), paper TuD1.
[22] J. Ashley, M.-P. Bernal, G. W. Burr, H. Coufal, H. Guenther, J. A. Hoffagle, C. M. Jefferson, B. Marcus, R. M. Macfarlane, R. M. Shelby, and G. T. Sincerbox, “Holographic data storage,” IBM journal of research and development 44, 341 (2000).
[23] G. Barbastathis and D. J. Brady, “Multidimensional Tomographic Imaging Using Volume Holography,” Proc. of IEEE 87, 2098 – 2120 (1999).
[24] G. Barbastathis, M. Balberg, and D. J. Brady, “Confocal microscopy with a volume holographic filter, ” Opt. Lett. 24, 811-813 (1999).
[25] 吳啟守，“光折變體積全像術之波長多工於高密度分波多工器之應用”，中原大學應用物理研究所碩士論文，中華民國九十年。
[26] A. Chiou, P. Yeh, C. Yang, and C. Gu, “Photorefractive Coupler for Fault-Tolerant Coupling,” IEEE Photon. Techno. Lett. 7, 789-791 (1995).
[27] A. Chiou, P. Yeh, C. Yang, and C. Gu, “Photorefractive spatial mode converter for multimode-to-single-mode fiber-optic coupling,” Opt. Lett. 20, 1125-1127 (1995).
[28] E. N. Leith, A. Kozma, J. Upatnieks, J. Marks, and N. Massey, "Holographic data storage in three-dimensional media," Appl. Opt. 5, 1303-1311 (1966).
[29] G. W. Burr, F. H. Mok, and D. Psalts, “Angle and space multiplexed storage using the 90∘geometry,” Opt. Commun. 117, 49-55 (1995).
[30] G. A. Rakuljic, V. Leyva, and A. Yariv, “Optical data storage by using orthogonal wavelength-multiplexed volume hologram,” Opt. Lett. 17, 1471-1473 (1992).
[31] S. Yin, H. Zhou, F. Zhao, M. Wen, Y. Zang, J. Zhang, and F. T. S. Yu, “Wavelength-multiplexed holographic storage in a sensitive photorefractive crystal using a visible-light tnable diode-laser,” Opt. Commun. 101, 317-321 (1993).
[32] G. Barbastathis, M. Levene, and D. Psaltis, "Shift multiplexing with spherical reference waves," Appl. Opt. 35, 2403-2417 (1996).
[33] W. C. Su, Y. W. Chen, C. C. Sun, and Y. Ouyang, “Multi-layer storage of a shift-multiplexed holographic disc,” Opt. Eng. 42, 1528-1529 (2003).
[34] C. Denz, G. Pauliat, and G. Roosen, “Volume hologram multiplexing using a deterministic phase encoding method,” Opt. Commun. 85, 171–176 (1991).
[35] J. F. Heanue, M. C. Bashaw, and L. Hesselink, “Encrypted holographic data storage based on orthogonal-phase-code multiplexing,” Appl. Opt. 34, 6012–6015 (1995).
[36] C. C. Sun, W. C. Su, B. Wang, and Y. Ouyang, "Diffraction selectivity of holograms with random phase encoding, " Opt. Commun. 175, 67-74 (2000).
[37] C. C. Sun and W. C. Su, "Three-Dimensional Shifting Selectivity of Random Phase Encoding in Volume Holograms, " Appl. Opt. 40, 1253-1260 (2001).
[38] H. Kogelnik, "Coupled wave theory for thick hologram gratings," Bell Syst. Tech. J. 48, 2909-2947 (1969).
[39] A. Yariv, and P. Yeh, Optical Waves in Crystals, (John Wiley & Sons, New York, 1984).
[40] C. C. Sun, “Simplified model for diffraction analysis of volume holograms,” Opt. Eng. 42, 1184-1185 (2003).
[41] H. J. Coufal, D. Psaltis, and G. T. Sincerbox, "Volume Diffraction Caculations Using the k-sphere Formulation," in Holographic data storage, (Springer, New York, 2000), pp 42-47.
[42] 蘇威佳，三維亂相編碼之體積全像及其應用，國立中央大學光電科學研究所博士論文, 中華民國九十年。
[43] 鄧敦建，體積全像於光學元件及光儲存之研究，國立中央大學光電科學研究所博士論文，中華民國九十五年。
[44] 陳政憲，無畫素串音之體積全像光儲存碟片之研究，國立中央大學光電所碩士論文，中華民國九十四年。
[45] 蔡孟芬，同軸式體積全像光碟儲存系統之研究，國立中央大學光電所碩士論文，中華民國九十五年。
[46] 謝舒菁，同軸式體積全像儲存系統之研究與改良，國立中央大學光電所碩士論文，中華民國九十六年。
[47] Members of the Technical Staff, Bell Laboratories, Transmission Systems for Communications (Bell Laboratories, Holmdel, N. J., 1971), Chap. 30, p.726.
[48] K. Tanaka, M. Hara, K. Tokuyama, K. Hirooka, K. Ishioka, A. Fukumoto, and K. Watanabe, "Improved performance in coaxial holographic data recording," Opt. Express 15, 16196-16209 (2007).
[49] J. Yang, L. M. Bernardo, and Y. -S. Bae, "Improving Holographic Data Storage by Use of an Optimized Phase Mask," Appl. Opt. 38, 5641-5645 (1999).
[50] J. Joseph and D. A. Waldman, "Homogenized Fourier transform holographic data storage using phase spatial light modulators and methods for recovery of data from the phase image," Appl. Opt. 45, 6374-6380 (2006).
[51] X. Tan, O. Matoba, T. Shimura, and K. Kuroda, "Improvement in Holographic Storage Capacity by Use of Double-Random Phase Encryption," Appl. Opt. 40, 4721-4727 (2001).
[52] W. R. Klein, “Theoretical Efficiency of Bragg Devices,” Proc. of IEEE 54, 803 (1966).
[53] B. Gombk?tő, P. Koppa, A. S?tő, and E. Lőrincz, "Computer simulation of reflective volume grating holographic data storage," J. Opt. Soc. Am. A 24, 2075-2081 (2007).
[54] Stella Romaine Lambourdiere, Atsushi Fukumoto, Kenji Tanaka, and Kenjiro Watanabe, "Simulation of Holographic Data Storage for the Optical Collinear System", J. J. Appl. Phys. 45, No. 2B, 1246-1252 (2006).