我們建立出同軸式體積全像光碟儲存系統之計算模型。因為讀取光與參考光的相位不匹配，即讀取光微小位移將使得繞射強度快速地衰減，因此系統將發展出具有高儲存容量的特性。當此儲存系統之訊號輸入元件為一空間調制器，此系統將擁有光學平行處理的能力，增加訊號的傳輸速度。另外，當碟片在布拉格不匹配條件下，經由使用設計過的參考光圖形將使得繞射光在觀察面上無偏移行為。
在本論文中我們研究繞射訊號之特性與系統的位移容忍度，並分析畫素間之串音，並有效的控制串音，使其對系統之影響降為最低，並期能實現且解決體積全像儲存之困難。

We construct the computing model of the system of the collinear volume holographic storage. Because of the out of phase between reading light and reference light, which means that the strength of diffraction will decay rapidly due to the small displacement of reading light. Therefore, this system has the property of high capacity of storage. When the element of input signals of this system is a spatial light modulator, the system would have the ability of optical parallel processing, and it can increase the transfer rate of signals. Besides, when the system is in the Bragg mismatch condition, there will be no displacement of diffracted light if we use the designed reference pattern.
In this paper, we research the property of diffracted signals and the shift tolerance of the system. We also analyze the crosstalk between pixels and control the crosstalk efficiently to reduce the influence to the system. And we hope that we can realize and solve the difficulties of volume holographic storage.

[1] J. W. Goodman, Introduction to Fourier Optics, 2nd eds. (McGraw-Hill, New
York, 2002).
[2] G. W. Burr, “Holographic storage,” Encyclopedia of Optical Engineering,
ed., R. B. Johnson and R. G. Driggers, Marcel Dekker, New York, 2003.
[3] J. Ashley, M.-P. Bernal, G. W. Burr, H. Coufal, H. Guenther, J. A.
Hoffnagle, 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, 2000.
[4] H. J. Coufal, D. Psaltis, and G. T. Sincerbox, Holographic data storage,
(Springer, New York, 2000).
[5] D. Psaltis and F. Mok, “Holographic memories,” Scientic American, 70-76
(1995).
[6] J. J. Amodei and D. L. Staebler, “Holographic pattern fixing in
electrooptic crystals,” Appl. Phys. Lett. 18, 540-542 (1971).
[7] F. Micheron and G. Bismuth, “Electrical control of fixation and erasure
of holographic patterns in ferroelectric materials,” Appl. Phys. Lett.
20, 79-81 (1972).
[8] D. L. Staebler, W. J. Burke,W. Philips, and J. J. Amodei, “Multiple
storage and erasure of fixed holograms in Fe-doped LiNbO3,” Appl. Phys.
Lett. 26, 182-184 (1975).
[9] G. Mandulaa, K. Lengyela, L. Kovácsa, M. A. Ellabbanb, R. A. Ruppb, and M.
Fallyb, “Thermal fixing of holographic gratings in nearly stoichiometric
LiNbO3 crystals,” SPIE Proc. 4412, 226-230 (2001).
[10] D. von der Linde, A. M. Glass, and K. F. Rogers, “Multiphoton
photorefractive process for optical storage in LiNbO3,” Appl. Phys. Lett.
25, 155-157 (1974).
[11] F. Kajzar, “Multiphoton resonance effects in conjugated organic
polymers,” Proc. of SPIE 1216, 216-225 (1990).
[12] D. Psaltis, F. Mok, and H.-Y. S. Li, “Nonvolatile storage in
photorefractive crystal”, Opt. Lett. 19, 210-212 (1994).
[13] H. Guenther, G. Wittmann, R. M. Macfarlane, and R. R. Neurgankar,
“Intensity dependence and white light gating of two color photorefractive
gratings in LiNbO3,” Opt. Lett. 22, 1305-1307 (1997).
[14] Y. S. Bai and R. Kachru, “Nonvolatile holographic storage with two step
recording in lithum niobate using CW Lasers,” Phys. Rev. Lett. 78, 2944-
2947 (1997).
[15] D. Gabor, “A new Microscopic principle,” Nature 161, 777-778 (1948).
[16] G. Barbastathis and D. J. Brady, “Multidimensional Tomographic Imaging
Using Volume Holography,” Proc. of IEEE 87, No. 12, 2098 – 2120 (1999).
[17] G. Barbastathis, M. Balberg, and D. J. Brady, “Confocal microscopy with
a volume holographic filter,” Opt. Lett. 24, 811-813 (1999).
[18] 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。
[19] A. Chiou, P. Yeh, C. Yang, and C. Gu, “Photorefractive Coupler for Fault-
Tolerant Coupling,” IEEE Photon. Techno. Lett. 7, 789 (1995).
[20] 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 (1995).
[21] R. J. Collier, C. B. Burckhardt, and L. H. Lin, Optical Holography,
(Academic Press, New York, 1971).
[22] T. T. Tschudi, C. Denz, and T. Kobialka “Aspects of phase-conjugating
elements in analog/digital parallel computing networks,” Proc. of SPIE
1319, 202-203 (1990).
[23] P. D. Henshaw, S. A. Lis, and N. R. Guivens, Jr., “Compact 4-D optical
neural network architecture,”Wavelength (nm) Final Report, contract no.
F49620-89-C-0120 (Sparta, Relative spectral response [10 logl0(R/RO)] of
two Inc., Lexington, Mass., April 1990).
[24] C. C. Sun, Y. M. Chen, and W. C. Su, “An all-optical fiber sensing
system based on random phase encoding and volume holographic
interconnection,” Opt. Eng, Lett. 40, 160 (2001).
[25] V. A. French, A. Siahmakoun, J. Spielvogel, “Angular multiplexing for
lateral shear interferometry using photorefractive BaTiO3,” Proc. SPIE
2622, 522-531(1995).
[26] C. S. Kim, D. S. Noh, J. S. J., S. J. Kim, and J. K. Bae, “New angular
multiplexing method for image storage in BaTiO3,” Proc. of SPIE 2754,
216-226 (1996).
[27] C. C. Sun, C. Y. Hsu, Y. O. Yang, W. C. Su, and A. E. T. Chiou, “All-
optical angular sensing based on holography multiplexing with spherical
waves,” Opt. Eng. 41, 2809-2813 (2002).
[28] G. A. Rakuljic, V. Leyva, and A. Yariv, “Optical data storage by using
orthogonal wavelength-multiplexed volume hologram,” Opt. Lett. 17, 1471-
1473 (1992).
[29] A. Yariv, “Interpage and interpixel cross talk in orthogonal
(wavelength multiplexed) holograms,” Opt. Lett. 18, 652-654 (1993).
[30] G. Barbastathis, A. Pu, M. Levene, D. Psaltis, “Holographic 3D disks
using shift multiplexing,” Proc. SPIE Vol. 2514, 355-362 (1995).
[31] 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).
[32] T. Tschudi, C. Denz, J. Lembcke, and M. Sedlatschek, “Storage of
multivolume holograms using the phase-encoding technique,” Proc. SPIE
2461, 233 (1995)
[33] C. Denz, G. Pauliat, and G. Roosen, “Volume hologram multiplexing using
a deterministic phase encoding method,” Opt. Commun. 85, 171–176 (1991).
[34] 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).
[35] 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).
[36] C. C. Sun and W. C. Su, “Three-Dimensional Shifting Selectivity of
Random Phase Encoding in Volume Holograms,” Appl. Opt. 40, 1253-1260
(2001).
[37] 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).
[38] H. Kogelnik, “Coupled wave theory for thick hologram grating,” Bell
Sys. Technol. J. 48, 2909-2947 (1969).
[39] C. C. Sun, “Simplified model for diffraction analysis of volume
holograms,” Opt. Eng. 42, 1184-1185 (2003).
[40] A. Yariv, and P. Yeh, Optical Waves in Crystals, (John Wiley & Sons, New
York, 1984).
[41] H. Horimai, and J. Li, “A Novel Collinear Optical Setup for Holographic
Data Storage,” in Optical Data Storage 2004, B. V. K., Vijaya Kumar and
H. Kobori, eds., Proc. SPIE 5380, 297-303 (2004).
[42] H. Horimai, and Y. Aoki, “Holographic Versatile Disc (HVD),” ISOM/ODS
2005, ThE6.
[43] H. Horimai, X. Tan, and J. Li, “Collinear Holography,” Appl. Opt. 44,
No. 13, 2575-2579 (2005).
[44] H. Horimai, and X. Tan, “Advanced Collinear Holography,” Opt. Rev. 12,
No. 2, 90-92 (2005).
[45] 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.,
Proceedings of SPIE 5939, 1-9 (2005).
[46] H. Horimai, and X. Tan, “Collinear technology for a holographic
versatile disk,”Appl. Opt., 45, No. 5, 910-914 (2006).
[47] H. Horimai, X. Tan, and Y, Aoki, “High Density Recording Storage System
by Collinear Holography,” Photonics Management Ⅱ (Strasbourg, France,
2005, John T. Sheridan, and Frank Wyrowski eds., Proc. of SPIE 6187,
618701 (2006).
[48] 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, No. 9, 1208-1210 (2006).
[49] 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).