OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 6 — Jun. 1, 2007
  • pp: 1799–1807

Three-dimensional coupled wave study for finite-sized anisotropic volume holographic gratings under ultrashort pulsed beam readout

Chunhua Wang, Liren Liu, Aimin Yan, Dean Liu, Yu Zhou, and Cuixia Dai  »View Author Affiliations

JOSA A, Vol. 24, Issue 6, pp. 1799-1807 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (199 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The three-dimensional coupled wave theory is extended to systematically investigate the diffraction properties of finite-sized anisotropic volume holographic gratings (VHGs) under ultrashort pulsed beam (UPB) readout. The effects of the grating geometrical size and the polarizations of the recording and readout beams on the diffraction properties are presented, in particular under the influence of grating material dispersion. The wavelength selectivity of the finite-sized VHG is analyzed. The wavelength selectivity determines the intensity distributions of the transmitted and diffracted pulsed beams along the output face of the VHG. The distortion and widening of the diffracted pulsed beams are different for different points on the output face, as is numerically shown for a VHG recorded in a LiNbO 3 crystal. The beam quality is analyzed, and the variations of the total diffraction efficiency are shown in relation to the geometrical size of the grating and the temporal width of the readout UPB. In addition, the diffraction properties of the finite-sized and one-dimensional VHG for pulsed and continuous-wave readout are compared. The study shows the potential application of VHGs in controlling spatial and temporal features of UPBs simultaneously.

© 2007 Optical Society of America

OCIS Codes
(050.7330) Diffraction and gratings : Volume gratings
(160.5320) Materials : Photorefractive materials
(190.5330) Nonlinear optics : Photorefractive optics
(320.0320) Ultrafast optics : Ultrafast optics

ToC Category:
Ultrafast Optics

Original Manuscript: October 25, 2006
Manuscript Accepted: January 5, 2007
Published: May 9, 2007

Chunhua Wang, Liren Liu, Aimin Yan, Dean Liu, Yu Zhou, and Cuixia Dai, "Three-dimensional coupled wave study for finite-sized anisotropic volume holographic gratings under ultrashort pulsed beam readout," J. Opt. Soc. Am. A 24, 1799-1807 (2007)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. G. W. Burr, C. M. Jefferson, H. Coufal, M. Jurich, J. A. Hoffnagle, R. M. Macfarlane, and R. M. Shelby, "Volume holographic data storage at an areal density of 250gigapixels/in.2," Opt. Lett. 26, 444-446 (2001). [CrossRef]
  2. S. Breer and K. Buse, "Wavelength demultiplexing with volume phase holograms in photorefractive lithium niobate," Appl. Phys. B 66, 339-345 (1998). [CrossRef]
  3. G. Barbastathis, M. Balberg, and D. J. Brady, "Confocal microscopy with a volume holographic filter," Opt. Lett. 24, 811-813 (1999). [CrossRef]
  4. G. Steinmeyer, D. H. Sutter, L. Gallmann, N. Matuschek, and U. Keller, "Frontiers in ultrashort pulse generation: pushing the limits in linear and nonlinear optics," Science 286, 1507-1512 (1999). [CrossRef] [PubMed]
  5. D. Brady, A. G.-S. Chen, and G. Rodriguez, "Volume holographic pulse shaping," Opt. Lett. 17, 610-612 (1992). [CrossRef] [PubMed]
  6. R. A. Athale and K. Raj, "Fourier-plane filtering by a thick grating: a space-bandwidth analysis," Opt. Lett. 17, 880-882 (1992). [CrossRef] [PubMed]
  7. K. B. Hill and D. J. Brady, "Pulse shaping in volume reflection holograms," Opt. Lett. 18, 1739-1741 (1993). [CrossRef] [PubMed]
  8. Y. Ding, D. D. Nolte, Z. Zheng, A. Kanan, A. M. Weiner, and G. A. Brost, "Bandwidth study of volume holography in photorefractive InP:Fe for femtosecond pulse readout at 1.5μm," J. Opt. Soc. Am. B 15, 2763-2768 (1998). [CrossRef]
  9. C. Wang, L. Liu, A. Yan, D. Liu, Z. Hu, and W. Qu, "Diffraction properties of volume holographic gratings for an ultrashort pulsed beam with different polarization states readout," J. Mod. Opt. 53, 1931-1945 (2006). [CrossRef]
  10. H. Kogelnik, "Coupled wave theory for thick hologram gratings," Bell Syst. Tech. J. 48, 2909-2047 (1969).
  11. L. Solymar and D. J. Cooke, Volume Holography and Volume Gratings (Academic, 1981), 164-253.
  12. P. St. J. Russell and L. Solymar, "The properties of holographic overlap gratings," Opt. Acta 26, 329-347 (1979). [CrossRef]
  13. S. Tao, B. Wang, G. W. Burr, and J. Chen, "Diffraction efficiency of volume gratings with finite size: corrected analytical solution," J. Mod. Opt. 51, 1115-1122 (2004).
  14. M. G. Moharam and T. K. Gaylord, "Three-dimensional vector coupled-wave analysis of planar-grating diffraction," J. Opt. Soc. Am. 73, 1105-1112 (1983). [CrossRef]
  15. S. Liu, R. Guo, and Z. Ling, Photorefractive Nonlinear Optics (Chinese Standard, 1992), pp. 136 (in Chinese).
  16. D. S. Smith, H. D. Riccius, and R. P. Edwin, "Refractive indices of lithium niobate," Opt. Commun. 17, 332-335 (1976). [CrossRef]
  17. P. Günter and J.-P. Huignard, "Photorefractive effects and materials," in Fundamental Phenomena, P.Günter and J.-P.Huignard, eds., Vol. 1 of Photorefractive Materials and Their Applications (Springer-Verlag, 1988), pp. 7-70.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited