OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 22 — Oct. 30, 2006
  • pp: 10669–10677

Subdiffractive light in bi-periodic arrays of modulated fibers

K. Staliunas and C. Masoller  »View Author Affiliations


Optics Express, Vol. 14, Issue 22, pp. 10669-10677 (2006)
http://dx.doi.org/10.1364/OE.14.010669


View Full Text Article

Enhanced HTML    Acrobat PDF (281 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We study theoretically the linear and nonlinear propagation of light in one-dimensional bi-periodic arrays of fibers, with the propagation constant periodically modulated along the propagation direction. We predict analytically and observe numerically subdiffractive propagation along such fiber arrays, and characterize the light propagation properties. We also predict novel subdiffractive discrete solitons in the presence of Kerr nonlinearity, both of focusing and defocusing cases, which are essentially different from the usual discrete solitons in waveguide arrays.

© 2006 Optical Society of America

OCIS Codes
(060.2360) Fiber optics and optical communications : Fiber optics links and subsystems
(110.2350) Imaging systems : Fiber optics imaging
(190.4370) Nonlinear optics : Nonlinear optics, fibers
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in

ToC Category:
Nonlinear Optics

History
Original Manuscript: July 14, 2006
Revised Manuscript: October 4, 2006
Manuscript Accepted: October 5, 2006
Published: October 30, 2006

Citation
K. Staliunas and C. Masoller, "Subdiffractive light in bi-periodic arrays of modulated fibers," Opt. Express 14, 10669-10677 (2006)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-22-10669


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059 (1987). [CrossRef] [PubMed]
  2. S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486 (1987). [CrossRef] [PubMed]
  3. H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato and S. Kawakami, "Self-collimating phenomena in photonic crystals," Appl. Phys. Lett. 74, 1212 (1999). [CrossRef]
  4. D. Chigrin, S. Enoch, C. Sotomayor Torres and G. Tayeb, "Self-guiding in two-dimensional photonic crystals," Opt. Express 11, 1203 (2003). [CrossRef] [PubMed]
  5. R. Iliew, C. Etrich, U. Peschel, F. Lederer, M. Augustin, H.-J. Fuchs, D. Schelle, E.-B. Kley, S. Nolte, and A. Tünnermann, "Diffractionless propagation of light in a low-index photonic-crystal film," Appl. Phys. Lett. 85, 5854 (2004). [CrossRef]
  6. D. W. Prather, S. Shi, D. M. Pustai, C. Chen, S. Venkataraman, A. Sharkawy, G. Schneider, and J. Murakowski, "Dispersion-based optical routing in photonic crystals," Opt. Lett. 29, 50-52 (2004). [CrossRef] [PubMed]
  7. H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchinson, "Discrete spatial optical solitons in waveguide arrays," Phys. Rev. Lett. 81, 3383 (1998). [CrossRef]
  8. R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel and J. S. Aitchison, "Self-focusing and defocusing in waveguide arrays," Phys. Rev. Lett. 86, 3296 (2001). [CrossRef] [PubMed]
  9. M. J. Ablowitz and Z. H. Musslimani, "Discrete diffraction managed spatial solitons," Phys. Rev. Lett. 87, 254102 (2001). [CrossRef] [PubMed]
  10. 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]
  11. A. A. Sukhorukov, Y. S. Kivshar, H. S. Eisenberg, and Y. Silberberg, "Spatial optical solitons in waveguide arrays," IEEE J. Quantum Electron. 39,31-50 (2003). [CrossRef]
  12. J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotti, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchinson, "Experimental observation of discrete modulational instability," Phys. Rev. Lett. 92, 163902 (2004). [CrossRef] [PubMed]
  13. T. Pertsch, P. Dannberg, W. Elflein, A. Bräuer, and F. Lederer, "Optical bloch oscillations in temperature tuned waveguide arrays," Phys. Rev. Lett. 83, 4752 (1999). [CrossRef]
  14. H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchinson, "Diffraction management," Phys. Rev. Lett. 85, 1863 (2000). [CrossRef] [PubMed]
  15. U. Peschel and F. Lederer, "Oscillation and decay of discrete solitons in modulated waveguide array," J. Opt. Soc. Am. B 19, 544 (2002) [CrossRef]
  16. S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, "Observation of dynamic localization in periodically curved waveguide arrays," Phys. Rev. Lett. 96, 243901 (2006). [CrossRef] [PubMed]
  17. K. Staliunas and R. Herrero, Nondiffractive propagation of light in photonic crystals, Phys. Rev. E,  73, 016601 (2006). [CrossRef]
  18. K. Staliunas, R. Herrero and G. J. de Valcarcel, Sub-diffractive band-edge solitons in Bose-Einstein condensates in periodic potentials, Phys. Rev. E 73, 065603(R) (2006). [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  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited