OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry M. Van Driel
  • Vol. 24, Iss. 7 — Jul. 1, 2007
  • pp: 1639–1645

Ultrashort light pulses in photonic crystals in subdiffractive regimes

Yurii Loiko, Ramon Herrero, and Kestutis Staliunas  »View Author Affiliations

JOSA B, Vol. 24, Issue 7, pp. 1639-1645 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (563 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We investigate analytically (by harmonic mode expansion) and numerically (by finite-difference-time-domain technique) the propagation of light pulses in photonic crystals in subdiffractive regimes. It is shown that in general the short pulses of narrow beams diffract more strongly than the corresponding monochromatic beams and disperse more strongly than the corresponding pulses of the plane waves. We also demonstrate coupling between the temporal dispersion and the spatial dispersion (diffraction) resulting in a complicated spatiotemporal evolution of the propagating pulses.

© 2007 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(130.3120) Integrated optics : Integrated optics devices
(320.2250) Ultrafast optics : Femtosecond phenomena
(320.5540) Ultrafast optics : Pulse shaping

ToC Category:
Ultrafast Optics

Original Manuscript: November 27, 2006
Manuscript Accepted: March 18, 2007
Published: June 15, 2007

Yurii Loiko, Ramon Herrero, and Kestutis Staliunas, "Ultrashort light pulses in photonic crystals in subdiffractive regimes," J. Opt. Soc. Am. B 24, 1639-1645 (2007)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and Sh. Kawakami, "Self-collimating phenomena in photonic crystals," Appl. Phys. Lett. 74, 1212-1214 (1999). [CrossRef]
  2. D. N. Chigrin, S. Enoch, C. M. Sotomayor Torres, and G. Tayeb, "Self-guiding in two-dimensional photonic crystals," Opt. Express 11, 1203-1211 (2003). [CrossRef] [PubMed]
  3. R. Illiew, C. Etrich, U. Peschel, F. Lederer, M. Augustin, H.-J. Huchs, D. Schelle, E.-B. Kley, S. Nolte, and A. Tunnermann, "Diffractionless propagation of light in a low-index photonic-crystal film," Appl. Phys. Lett. 85, 5854-5856 (2004). [CrossRef]
  4. M. Augustin, R. Iliew, C. Etrich, D. Schelle, H.-J. Huchs, U. Peschel, S. Nolte, E.-B. Kley, F. Lederer, and A. Tunnermann, "Self-guiding of infrared and visible light in photonic crystal slabs," Appl. Phys. B: Photophys. Laser Chem. 81, 313-319 (2005). [CrossRef]
  5. D. W. Prather, Sh. Shi, D. M. Pustai, C. Chen, S. Venkataraman, A. Sharkawy, G. J. Schneider, and J. Murakowski, "Dispersion-based optical routing in photonic crystals," Opt. Lett. 29, 50-52 (2004). [CrossRef] [PubMed]
  6. L. Wu, M. Mazilu, and Th. F. Krauss, "Beam steering in planar-photonic crystals: from superprism to supercollimator," J. Lightwave Technol. 21, 561-566 (2003). [CrossRef]
  7. Zh. Lu, Ch. A. Schuetz, Sh. Shi, C. Chen, G. P. Behrmann, and D. W. Prather, "Experimental demonstration of self-collimation in low-index-contrast photonic crystals in the millimeter-wave regime," IEEE Trans. Microwave Theory Tech. 53, 1362-1368 (2005). [CrossRef]
  8. Zh. Lu, Sh. Shi, J. Murakowski, G. J. Schneider, Ch. A. Schuetz, and D. W. Prather, "Experimental demonstration of self-collimation inside a three-dimensional photonic crystal," Phys. Rev. Lett. 96, 173902 (2006). [CrossRef] [PubMed]
  9. K. Staliunas and R. Herrero, "Nondiffractive propagation of light in photonic crystals," Phys. Rev. E 73, 016601 (2006). [CrossRef]
  10. H. S. Eisenberg, Y. Silberberg, R. Marandotti, and J. S. Aitchison, "Diffraction management," Phys. Rev. Lett. 85, 1863-1866 (2000). [CrossRef] [PubMed]
  11. T. Pertsch, T. Zentgraf, U. Peschel, A. Brauer, and F. Lederer, "Anomalous refraction and diffraction in discrete optical systems," Phys. Rev. Lett. 88, 093901 (2002). [CrossRef] [PubMed]
  12. K. Staliunas, "Midband dissipative spatial solitons," Phys. Rev. Lett. 91, 053901 (2003). [CrossRef] [PubMed]
  13. S. Longhi, "Localized and nonspreading spatiotemporal Wannier wave packets in photonic crystals," Phys. Rev. E 71, 016603 (2005). [CrossRef]
  14. S. Longhi and D. Janner, "X-shaped waves in photonic crystals," Phys. Rev. B 70, 235123 (2004). [CrossRef]
  15. K. Staliunas, C. Serrat, R. Herrero, C. Cojocaru, and J. Trull, "Subdiffractive light pulses in photonic crystals," Phys. Rev. E 74, 016605 (2006). [CrossRef]
  16. A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House, 2000).
  17. Yu. Loiko, C. Serrat, R. Herrero, and K. Staliunas, "Quantitative analysis of subdiffractive light propagation in photonic crystals," Opt. Commun. 269, 128-136 (2007). [CrossRef]

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

OSA is a member of CrossRef.

CrossCheck Deposited