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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 48, Iss. 31 — Nov. 1, 2009
  • pp: 5984–5996

Theoretical analysis of curved Bragg diffraction images from plane wave reference volume holograms

Se Baek Oh, Jonathan M. Watson, and George Barbastathis  »View Author Affiliations

Applied Optics, Vol. 48, Issue 31, pp. 5984-5996 (2009)

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We analyze the shape of Bragg diffraction images from plane wave reference volume holograms in a 4-f geometry. When the volume hologram is probed by out-of-plane probe beams, the diffraction images become curved lines. Exploiting the k-sphere formulation and Fourier optics analysis, we present both geometrical and analytical solutions of the curved shape, which are distorted ellipses. Parameters and conditions related to the curvature are characterized, and experimental evidence is presented.

© 2009 Optical Society of America

OCIS Codes
(050.7330) Diffraction and gratings : Volume gratings
(090.7330) Holography : Volume gratings
(110.0110) Imaging systems : Imaging systems

ToC Category:
Diffraction and Gratings

Original Manuscript: May 18, 2009
Revised Manuscript: August 27, 2009
Manuscript Accepted: September 24, 2009
Published: October 27, 2009

Se Baek Oh, Jonathan M. Watson, and George Barbastathis, "Theoretical analysis of curved Bragg diffraction images from plane wave reference volume holograms," Appl. Opt. 48, 5984-5996 (2009)

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  1. H. Coufal, D. Psaltis, and G. T. Sincerbox, Holographic Data Storage (Springer, 2000).
  2. A. Sinha, W. Sun, T. Shih, and G. Barbastathis, “Volume holographic imaging in transmission geometry,” Appl. Opt. 43, 1533-1551 (2004). [CrossRef] [PubMed]
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  7. P. Wissmann, S. B. Oh, and G. Barbastathis, “Simulation and optimization of volume holographic imaging systems in Zemax,” Opt. Express 16, 7516-7524 (2008). [CrossRef] [PubMed]
  8. J. M. Watson, “Evaluation of spatial-spectral filtering in non-paraxial volume holographic imaging systems,” M.S.thesis (Massachusetts Institute of Technology, 2008).
  9. G. Barbastathis, “Imaging properties of three-dimensional pupils,” in Computational Optical Sensing and Imaging (COSI) (Optical Society of America, 2005), paper CMC4.
  10. M. Abramowitz and I. A. Stegun, “Spherical Bessel functions,” in Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables (Dover, 1972), pp. 437-442.
  11. W. Sun and G. Barbastathis, “Rainbow volume holographic imaging,” Opt. Lett. 30, 976-978 (2005). [CrossRef] [PubMed]
  12. W. Sun, A. Sinha, G. Barbastathis, and M. A. Neifeld, “High-resolution volume holographic profilometry using the Viterbi algorithm,” Opt. Lett. 30, 1297-1299 (2005). [CrossRef] [PubMed]
  13. Y. Luo, P. J. Gelsinger-Austin, J. M. Watson, G. Barbastathis, J. K. Barton, and R. K. Kostuk, “Laser induced fluorescence imaging of subsurface tissue structures with a volume holographic spatial-spectral imaging system,” Opt. Lett. 33, 2098-2100 (2008). [CrossRef] [PubMed]
  14. A. Sinha and G. Barbastathis, “Volume holographic telescope,” Opt. Lett. 27, 1690-1692 (2002). [CrossRef]
  15. W. Liu, G. Barbastathis, and D. Psaltis, “Volume holographic hyperspectral imaging,” Appl. Opt. 43, 3581-3599 (2004). [CrossRef] [PubMed]
  16. W. Liu, D. Psaltis, and G. Barbastathis, “Real-time spectral imaging in three spatial dimensions,” Opt. Lett. 27, 854-856(2002). [CrossRef]

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