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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 26 — Dec. 30, 2013
  • pp: 31852–31861

Pulse splitting by modulating the thickness of buffer layer of two-layer volume holographic grating

Xiaona Yan, Mengdi Qian, Lirun Gao, Xihua Yang, Ye Dai, Xiaoyuan Yan, and Guohong Ma  »View Author Affiliations

Optics Express, Vol. 21, Issue 26, pp. 31852-31861 (2013)

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Based on Kogelnik’s coupled-wave theory and matrix optics, generation of femtosecond double pulses by modulating thickness of the buffer layer of two-layer volume holographic grating (TL-VHG) is discussed. Expressions of diffraction field when a femtosecond pulse incidents on the TL-VHG are deduced. Simulation results show when thickness of the buffer layer increases from 6mm to 11mm or even larger, one incident pulse splits into double femtosecond pulses with the same duration and peak intensity, and pulse interval is linearly proportional to the thickness. The reason of these phenomena is due to the interference of diffraction waves reconstructed from two gratings and phase shift resulting from the buffer layer thickness. Time-delay of diffracted double pulses is explained by group time delay of periodic media. It is shown that the slope of the pulse interval with respect to the thickness of buffer layer is 2 times of that of pulse time-delay. Furthermore, we demonstrate it is possible to control the output double pulses’ duration and pulse interval by varying the grating thickness.

© 2013 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(050.7330) Diffraction and gratings : Volume gratings
(320.5540) Ultrafast optics : Pulse shaping

ToC Category:
Diffraction and Gratings

Original Manuscript: September 30, 2013
Revised Manuscript: December 4, 2013
Manuscript Accepted: December 6, 2013
Published: December 16, 2013

Xiaona Yan, Mengdi Qian, Lirun Gao, Xihua Yang, Ye Dai, Xiaoyuan Yan, and Guohong Ma, "Pulse splitting by modulating the thickness of buffer layer of two-layer volume holographic grating," Opt. Express 21, 31852-31861 (2013)

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  1. K. P. Wang, “New method for the fabrication of stratified gratings and their applications,” Appl. Opt.34(29), 6666–6671 (1995). [CrossRef] [PubMed]
  2. B. Y. Zel’dovich, D. I. Mirovitskii, N. V. Rostovtseva, and O. B. Serov, “Characteristics of two-layer phase holograms,” Sov. J. Quantum Electron.14(3), 364–369 (1984). [CrossRef]
  3. R. V. Johnson and A. R. Tanguay., “Stratified volume holographic optical elements,” Opt. Lett.13(3), 189–191 (1988). [CrossRef] [PubMed]
  4. D. M. Chambers, G. P. Nordin, and S. Kim, “Fabrication and analysis of a three-layer stratified volume diffractive optical element high-efficiency grating,” Opt. Express11(1), 27–38 (2003). [CrossRef] [PubMed]
  5. S. S. Wang and R. Magnusson, “Multilayer waveguide-grating filters,” Appl. Opt.34(14), 2414–2420 (1995). [CrossRef] [PubMed]
  6. B. Wang, J. Jiang, D. M. Chambers, J. Cai, and G. P. Nordin, “Stratified waveguide grating coupler for normal fiber incidence,” Opt. Lett.30(8), 845–847 (2005). [CrossRef] [PubMed]
  7. A. Granger, L. Song, and R. A. Lessard, “Multiple beam generation using a stratified volume holographic grating,” Appl. Opt.32(14), 2534–2537 (1993). [CrossRef] [PubMed]
  8. G. P. Nordin, R. V. Johnson, and A. R. Tanguay., “Diffraction properties of stratified volume holographic optical elements,” J. Opt. Soc. Am. A9(12), 2206–2217 (1992). [CrossRef]
  9. D. M. Chambers and G. P. Nordin, “Stratified volume diffractive optical elements as high-efficiency gratings,” J. Opt. Soc. Am. A16(5), 1184–1193 (1999). [CrossRef]
  10. R. De Vré and L. Hesselink, “Analysis of photorefractive stratified volume holographic optical elements,” J. Soc. Opt. Am. B11(9), 1800–1808 (1994). [CrossRef]
  11. H. Kogelnik, “Coupled wave theory for thick hologram gratings,” Bell Syst. Tech. J.48(9), 2909–2947 (1969). [CrossRef]
  12. A. P. Yakimovich, “Multilayer three-dimensional holographic gratings,” Opt. Spectrosc.49, 85–88 (1980).
  13. R. De Vré and L. Hesselink, “Diffraction analysis of layered structures of photorefractive gratings,” J. Opt. Soc. Am. A13(2), 285–295 (1996). [CrossRef]
  14. A. Yan, L. Liu, Y. Zhi, D. Liu, and J. Sun, “Bragg diffraction of multiplayer volume holographic gratings under ultrashort laser pulse readout,” J. Opt. Soc. Am. A26(1), 135–141 (2009). [CrossRef]
  15. A. Yan, L. Liu, L. Wang, D. Liu, J. Sun, and L. Wan, “Pulse shaping and diffraction properties of multi-layers reflection volume holographic gratings,” Appl. Phys. B96(1), 71–77 (2009). [CrossRef]
  16. G. Zhang, W. Che, B. Han, and Y. Qi, “Recursion formula for reflectance and the enhanced effect on the light group velocity control of the stratified and phase-shifted volume index gratings,” Opt. Express15(5), 2055–2066 (2007). [CrossRef] [PubMed]
  17. D. Yang, H. Wang, X. Guo, J. Zhao, and H. Xiang, “Wavelength demultiplexing with layered multiple Bragg gratings in LiNbO3:Fe crystal,” Appl. Opt.46(23), 5604–5607 (2007). [CrossRef] [PubMed]
  18. T. Nagata, M. Kamata, and M. Obara, “Optical waveguide fabrication with double pulse femtosecond lasers,” Appl. Phys. Lett.86(25), 251103 (2005). [CrossRef]
  19. S. Iwai, Y. Ishige, S. Tanaka, Y. Okimoto, Y. Tokura, and H. Okamoto, “Coherent control of charge and lattice dynamics in a photoinduced neutral-to-ionic transition of a charge-transfer compound,” Phys. Rev. Lett.96(5), 057403 (2006). [CrossRef] [PubMed]
  20. M. S. Luo, S. L. Chuang, P. C. Planken, I. Brener, and M. C. Nuss, “Coherent double-pulse control of quantum beats in a coupled quantum well,” Phys. Rev. B Condens. Matter48(15), 11043–11050 (1993). [CrossRef] [PubMed]
  21. D. Felinto, C. A. C. Bosco, L. H. Acioli, and S. S. Vianna, “Accumulative effects in temporal coherent control,” Phys. Rev. A64(6), 063413 (2001). [CrossRef]
  22. C. Iaconis and I. A. Walmsley, “Self-referencing spectral interferometry for measuring ultrashort optical pulse,” IEEE J. Quantum Electron.35(4), 501–509 (1999). [CrossRef]
  23. R. Trebino, Frequency-Resolved Optical Gating: The Measurement of Ultrashort Laser Pulses (Kluwer Academic, 2002).
  24. M. P. Hernández-Garay, O. Martínez-Matos, J. G. Izquierdo, M. L. Calvo, P. Vaveliuk, P. Cheben, and L. Bañares, “Femtosecond spectral pulse shaping with holographic gratings recorded in photopolymerizable glasses,” Opt. Express19(2), 1516–1527 (2011). [CrossRef] [PubMed]
  25. S. H. Lin, K. Y. Hsu, and P. Yeh, “Experimental observation of the slowdown of optical beams by a volume-index grating in a photorefractive LiNbO3 crystal,” Opt. Lett.25(21), 1582–1584 (2000). [CrossRef] [PubMed]
  26. C. Yang, X. Yan, R. Zhu, H. Zou, and F. Han, “Diffraction study of volume holographic gratings in dispersive photorefractive material for femtosecond pulse readout,” Optik121(12), 1138–1143 (2010). [CrossRef]

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