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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry Van Driel
  • Vol. 26, Iss. 10 — Oct. 1, 2009
  • pp: 1918–1923

Effect of frequency detuning on pulse propagation in one-dimensional photonic crystal with a dense resonant medium: application to optical logic

Denis V. Novitsky  »View Author Affiliations

JOSA B, Vol. 26, Issue 10, pp. 1918-1923 (2009)

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We consider propagation of light pulses detuned from the atomic resonance in a dense two-level medium and the photonic structures with it. The large density of the medium is important for decreasing the spatial scale of nonlinear effects such as pulse compression, though it does not provide any fundamentally new phenomena as compared to dilute media. Frequency detuning decreases the effectivity of nonlinear phenomena such as pulse compression and dispersion-spreading compensation as well. We propose simple logic gates based on interaction between two pulses in one-dimensional nonlinear photonic crystal. We found that frequency detuning is necessary to obtain ultrafast AND gates, while OR and NOT gates can be realized in the system without detuning.

© 2009 Optical Society of America

OCIS Codes
(130.3750) Integrated optics : Optical logic devices
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(200.4660) Optics in computing : Optical logic
(230.4170) Optical devices : Multilayers

ToC Category:
Photonic Crystals

Original Manuscript: June 26, 2009
Revised Manuscript: August 3, 2009
Manuscript Accepted: August 12, 2009
Published: September 16, 2009

Denis V. Novitsky, "Effect of frequency detuning on pulse propagation in one-dimensional photonic crystal with a dense resonant medium: application to optical logic," J. Opt. Soc. Am. B 26, 1918-1923 (2009)

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  1. F. A. Hopf, C. M. Bowden, and W. H. Louisell, “Mirrorless optical bistability with the use of the local-field correction,” Phys. Rev. A 29, 2591-2596 (1984). [CrossRef]
  2. V. Malyshev and E. C. Jarque, “Spatial effects in nonlinear resonant reflection from the boundary of a dense semi-infinite two-level medium: normal incidence,” J. Opt. Soc. Am. B 14, 1167-1178 (1997). [CrossRef]
  3. A. A. Afanas'ev, R. A. Vlasov, N. B. Gubar, and V. M. Volkov, “Hysteresis behavior in light reflection from a dense resonant medium with intrinsic optical bistability,” J. Opt. Soc. Am. B 15, 1160-1167 (1998). [CrossRef]
  4. M. E. Crenshaw, M. Scalora, and C. M. Bowden, “Ultrafast intrinsic optical switching in a dense medium of two-level atoms,” Phys. Rev. Lett. 68, 911-914 (1992). [CrossRef] [PubMed]
  5. M. Scalora and C. M. Bowden, “Propagation effects and ultrafast optical switching in dense media,” Phys. Rev. A 51, 4048-4056 (1995). [CrossRef] [PubMed]
  6. C. M. Bowden, A. Postan, and R. Inguva, “Invariant pulse propagation and self-phase modulation in dense media,” J. Opt. Soc. Am. B 8, 1081-1084 (1991). [CrossRef]
  7. A. A. Afanas'ev, R. A. Vlasov, O. K. Khasanov, T. V. Smirnova, and O. M. Fedorova, “Coherent and incoherent solitons of self-induced transparency in dense, resonant media,” J. Opt. Soc. Am. B 19, 911-919 (2002). [CrossRef]
  8. D. V. Novitsky and S. Yu. Mikhnevich, “Bistable behavior of reflection and transmission of a one-dimensional photonic crystal with a dense resonant medium as a defect,” J. Opt. Soc. Am. B 25, 1362-1370 (2008). [CrossRef]
  9. R. Friedberg, S. R. Hartmann, and J. T. Manassah, “Effect of local-field correction on a strongly pumped resonance,” Phys. Rev. A 40, 2446-2451 (1989). [CrossRef] [PubMed]
  10. M. E. Crenshaw, “Quasiadiabatic approximation for a dense collection of two-level atoms,” Phys. Rev. A 54, 3559-3575 (1996). [CrossRef] [PubMed]
  11. C. Bowden and J. P. Dowling, “Near dipole-dipole effects in dense media: Generalized Maxwell-Bloch equations,” Phys. Rev. A 47, 1247-1251 (1993). [CrossRef] [PubMed]
  12. D. V. Novitsky, “Compression of an intensive light pulse in photonic-band-gap structures with a dense resonant medium,” Phys. Rev. A 79, 023828 (2009). [CrossRef]
  13. K. Asakawa, Y. Sugimoto, Y. Watanabe, N. Ozaki, A. Mizutani, Y. Takata, Y. Kitagawa, H. Ishikawa, N. Ikeda, K. Awazu, X. Wang, A. Watanabe, S. Nakamura, S. Ohkouchi, K. Inoue, M.Kristensen, O. Sigmund, P.I. Borel, and R. Baetys, “Photonic crystal and quantum dot technologies for all-optical switch and logic device,” New J. Phys. 8, 208-244 (2006). [CrossRef]
  14. P. Andalib and N. Granpayeh, “All-optical ultracompact photonic crystal AND gate based on nonlinear ring resonators,” J. Opt. Soc. Am. B 26, 10-16 (2009). [CrossRef]
  15. I. Nefedov, Y. Morozov, V. Gusyatnikov, and A. Zheltikov, “Optically controlling photonic band gap logic element,” in Proceedings of the 2nd International Conference on Transparent Optical Networks (IEEE, 2000), pp. 195-198.

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