為了使用體積全相光學元件來作為成像之元件，我們探討球面波在布拉格簡併方向上的繞射效應，並且提出了一個新穎的體積全像光學元件，藉由這個光學元件的布拉格窗可以達到一維的線性成像，我們分別以理論及實驗驗證它的線性放大率。最後，我們分別探討此架構之布拉格窗其物理來源及數學驗證，得出的結果與電腦模擬相符合。

參考文獻
1.D.Gabor, ”A new Microscopic principle,” Nature 161,777(1948).
2.P. J. van Heerden, "Theory of optical information storage in solids," Appl. Opt. 2, 393 (1963).
3.Ashkin, G. D. Boyd, J. M. Dziedzic, R. G. Smith, A. A. Bullman, J.J. Levinstein and K. Nassau, "Optical-induced refractive index inhomogeneity in LiNbO3 and LiTaO3," Appl. Phys. Lett. 9, 72 (1966).
4.N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin and V. L. Vinetskii, "Holographic storage in electro-optic crystals. I. Steady state," Ferroelectrics 22, 949 (1979).
5.J. Feinberg, "Self-pumped, continuous-wave phase-conjugator using internal reflection," Opt. Lett. 7, 486 (1982).
6.B. N. A. Vainos and M. C. Gower, "High-fidelity phase conjugation and real-time orthoscopic three-dimensional image projection in BaTiO3," J. Opt. Soc. Am. B. 8, 2355 (1991)
7.C. Huitian Wang, Nobukazu Yoshikawa, Shin Yoshikado, Tadashi Aruga, "Mutually pumped phase conjugator with a rainbow configuration in BaTiO3:Ce crystal using nanosecond pulses," Opt. Lett. 21, 561(1996).
8.N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, "Holographic storage in electro-optic crystals. II. Beam coupling and light amplification," Ferroelectrics 22, 961 (1979).
9.F. H. Mok, "Angle-multiplexed storage of 5000 holograms in lithium niobate," Opt. Lett. 18, 915 (1993).
10.D. Psaltis, M. Levene, A. Pu, G. Barbastathis, and K. Curtis, "Holographic storage using shift multiplexing," Opt. Lett. 20, 782 (1995).
11.G. A. Rakuljic, V. Leyva, and A. Yariv, "Optical data storage by using orthogonal wavelength-multiplexed volume holograms," Opt. Lett. 17, 1471 (1992).
12.G. Barbastathis, M. Levene, and D. Psaltis, "Shift multiplexing with spherical reference waves," Appl. Opt. 35, 2403 (1996).
13.C. Denz, G. Pauliat, and G. Roosen, "Volume hologram multiplexing using a deterministic phase encoding method," Opt. Commun. 85, 171 (1991).
14.C. C. Sun, R. H. Tsou, W. Chang, J. Y. Chang and M. W. Chang, "Random phase-coded multiplexing in LiNbO3 for volume hologram storage by using a ground-glass," Opt. Quantum Electron. 28, 1509 (1996).
15.C. C. Sun, W. C. Su, Y. L. Lin, S. P. Yeh, and B. Wang, "3-dimensional random phase encryption in a volume hologram and the applications," Proc. SPIE 4110, 139 (2000).
16.D. Generic Volodin, "A polymeric optical pattern-recognition system for security verification," Nature 383, 58 (1996).
17.F.T.S. Yu, S. Wu, A. Mayers and S. Rajan, "Wavelength multiplexed reflection matched spatial filters using LiNbO3," Opt. Commun. 81, 343 (1991).
18.S. F. Chen, C. S. Wu, and C. C. Sun, "Design for a high dense wavelength division multiplexer based on volume holographic gratings," Optical Engineering 43, 2028 (2004). [SCI]
19.George Barbastathis, Michal Balberg, "Confocal microscopy with a volume holographic filter," Opt. Lett. 24, 811 (1999).
20.C. C. Sun, C. Y. Hsu, C. H. Wu, and W. C. Su, "Spatial filtering of three-dimensional objects based on volume holography," Opt. Eng.(Letters) 42, 2788 (2003).
21.C. C. Sun and P. P. Banerjee, "volume holographic optical elements," Optical Engineering 43, 1957 (2004).
22.W.R.Klein,”Theoretical Efficiency of Bragg Devices,”Proc. IEEE 54, 803(1966)
23.H. Kogelnik, “Coupled wave theory for thick hologram gratings,” Bell Syst. Tech. J. 48, 2909 (1969).
24.P. Yeh, Introduction to Photorefractive NonlinearOptics (Wiley, New York, 1993).
25.C. C. Sun, M. S. Tsaur, B. Wang, W. G. Su, and A. E. T.Chiou,” Two-Dimensional Shifting Tolerance of a Volume-Holographic Correlator ,”Appl. Opt. 38, 4316 (1999).
26.G. Barbastathis and D. Psaltis, Holographic Data Storage, H. J. Coufal, D. Psaltis, and G. T. Sincerbox,eds. (Springer, New York, 2000).
27.A. Sinha, G. Barbastathis, W. Liu, and D. Psaltis, “Imaging using volume holograms,”Opt.Eng. (Bellingham) 43, 1959 (2004).
28.L. Cao, X. Ma, Q. He, H. Long, M. Wu, and G. Jin, “Imagine spectral device base on multiple volume holographic gratings,“Opt.Eng. (Bellingham) 43, 2009 (2004).
29.F. Havermeyer, W. Liu, C. Moser, D. Psaltis, and G. J.Steckman,”Volume holographic grating-based continuously tunable optical filter,” Opt. Eng. (Bellingham) 43, 2017 (2004).
30.C. C. Sun, C. Y. Hsu, W. C. Su, Y. Ouyang, and J. Y.Chang, Microwave,” A novel algorithm for high sensitivity in measuring surface,” Opt. Technol. Lett. 34, 319 (2002).
31.C. C. Sun, "A simplified model for diffraction analysis of volume holograms," Optical Engineering (Letters) 42, 1184 (2003).
32.C.C.Sun, T.C. Teng, Y.W.Yu “One-dimensional optical imaging with a volume holographic optical element,” Opt. Let. 30, 1132 (2005)