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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 22, Iss. 7 — Jul. 1, 2005
  • pp: 1349–1355

Grating-mediated wave guiding and holographic solitons

Barak Freedman, Oren Cohen, Ofer Manela, Mordechai Segev, Jason W. Fleischer, and Demetrios N. Christodoulides  »View Author Affiliations

JOSA B, Vol. 22, Issue 7, pp. 1349-1355 (2005)

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We describe experimental and theoretical results of research on a new type of waveguide, the so-called grating-mediated waveguide (GMW) recently reported by our group. This waveguide structure relies on Bragg diffractions from a 1D grating giving rise to wave guiding in the direction normal to the grating wave vector. The structure consists of a shallow 1D grating having a bell- or trough-shaped amplitude in the confinement direction. We provide the theoretical analysis of the underlying wave-guiding mechanism along with experimental evidence for both the bell- and the trough-shaped waveguides. We investigate the robustness of grating-mediated wave guiding and suggest more elaborate, 2D structures, such as a GMW superlattice and a grating-mediated ring waveguide. Finally we discuss the relation between grating-mediated wave guiding and holographic solitons, which are the beams that are self-trapped solely by virtue of their jointly induced grating.

© 2005 Optical Society of America

OCIS Codes
(090.7330) Holography : Volume gratings
(190.5330) Nonlinear optics : Photorefractive optics
(230.7370) Optical devices : Waveguides

Barak Freedman, Oren Cohen, Ofer Manela, Mordechai Segev, Jason W. Fleischer, and Demetrios N. Christodoulides, "Grating-mediated wave guiding and holographic solitons," J. Opt. Soc. Am. B 22, 1349-1355 (2005)

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  1. G. P. Agrawal, Fiber-Optic Communication Systems, 2nd ed. (Wiley, 1997).
  2. V. I. Kopp, V. M. Churikov, J. Singer, N. Chao, D. Neugroschl, and A. Z. Genack, "Chiral fiber gratings," Science 305, 74-75 (2004). [CrossRef] [PubMed]
  3. J. C. Knight, J. Broeng, T. A. Birks, and P. St. J. Russell, "Photonic band gap guidance in optical fibers," Science 282, 1476-1478 (1998). [CrossRef] [PubMed]
  4. D. Collodon and J. Babinet, Comptes Rendes 15, 800 (1842).
  5. A. Yariv, Optical Electronics in Modern Communications (Oxford, 1997).
  6. P. Yeh and A. Yariv, "Bragg reflection waveguides," Opt. Commun. 19, 427-430 (1976). [CrossRef]
  7. M. Ibanescu, Y. Fink, S. Fan, E. L. Thomas, and J. D. Joannopoulos, "An all-dielectric coaxial waveguide," Science 289, 415-419 (2000). [CrossRef] [PubMed]
  8. P. St. J. Russell, "Photonic crystal fibers," Science 299, 358-362 (2003). [CrossRef] [PubMed]
  9. A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, "Coupled-resonator optical waveguide: a proposal and analysis," Opt. Lett. 24, 711-713 (1999). [CrossRef]
  10. O. Cohen, B. Freedman, J. W. Fleischer, M. Segev, and D. N. Christodoulides, "Grating-mediated waveguiding," Phys. Rev. Lett. 93, 103902 (2004). [CrossRef] [PubMed]
  11. N. W. Ashcroft and N. D. Mermin, Solid State Physics, (Saunders, 1976).
  12. In general, the grating modes at the edge of the first Brillouin zone that belong to the odd bands can be written as an infinite sum Sum=0∞amcos[(2m+1)pix/d]. Here the grating is shallow; hence we neglect the coupling to higher bands and approximate the grating mode of the first band as cos(pix/d). Similarly, we approximate the grating mode of the second band at the edge of the Brillouin zone as sin(pix/d).
  13. A. L. Jones, "Coupling of optical fibers and scattering in fibers," J. Opt. Soc. Am. 55, 261-271 (1965). [CrossRef]
  14. S. Somekh, E. Garmire, A. Yariv, H. L. Garvin, and R. G. Hunsperger, "Channel optical waveguide directional couplers," Appl. Phys. Lett. 22, 46-48 (1973). [CrossRef]
  15. H. Eisenberg, Y. Silberberg, R. Morandotti, and J. Aitchison, "Diffraction management," Phys. Rev. Lett. 85, 1863-1866 (2000). [CrossRef] [PubMed]
  16. M. J. Ablowitz and Z. H. Musslimani, "Discrete diffraction managed spatial solitons," Phys. Rev. Lett. 87, 254102 (2001). [CrossRef] [PubMed]
  17. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Rotary solitons in Bessel optical lattices," Phys. Rev. Lett. 93, 093940 (2004).
  18. D. N. Christodoulides and R. I. Joseph, "Discrete self-focusing in nonlinear arrays of coupled waveguides," Opt. Lett. 13, 794-796 (1988). [CrossRef] [PubMed]
  19. D. N. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behavior in linear and nonlinear waveguide lattices," Nature 424, 817-823 (2003). [CrossRef] [PubMed]
  20. H. Eisenberg, Y. Silberberg, R. Morandotti, A. Boyd, and J. Aitchison, "Discrete spatial optical solitons in waveguide arrays," Phys. Rev. Lett. 81, 3383-3386 (1998). [CrossRef]
  21. J. Fleischer, M. Segev, N. Efremidis, and D. N. Christodoulides, "Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices," Nature 422, 147-150 (2003). [CrossRef] [PubMed]
  22. O. Cohen, T. Carmon, M. Segev, and S. Odoulov, "Holographic solitons," Opt. Lett. 27, 2031-2033 (2002). [CrossRef]
  23. M. Vaupel, C. Seror, and R. Dykstra, "Self-focusing in photorefractive two-wave mixing," Opt. Lett. 22, 1470-1472 (1997). [CrossRef]
  24. R. J. D. Miller, M. Pierre, T. S. Rose, and M. D. Fayer, "A coherent photoacoustic approach to excited-state-excited-state absorption spectroscopy: application to the investigation of a near-resonant contribution to ultrasonic diffraction," J. Phys. Chem. 88, 3021-3025 (1984). [CrossRef]
  25. M. Greiner, O. Mandel, T. W. Hansch, and I. Bloch, "Collapse and revival of the matter wave field of a Bose-Einstein condensate," Nature 419, 51-54 (2002). [CrossRef] [PubMed]

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