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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 9 — Apr. 28, 2008
  • pp: 6050–6055

Midband solitons in an array of quadratically nonlinear cavities

Oleg Egorov and Falk Lederer  »View Author Affiliations

Optics Express, Vol. 16, Issue 9, pp. 6050-6055 (2008)

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We predict the existence of discrete midband solitons in an array of coupled quadratically nonlinear cavities driven by an external optical field at the second harmonic. The tilted holding beam provides both subdiffractive propagation and maximum group velocity for the fundamental harmonic. This configuration allows for the existence of identical but counterpropagating midband solitons for the same system parameters. We study numerically the interaction dynamics of these solitons.

© 2008 Optical Society of America

OCIS Codes
(130.2790) Integrated optics : Guided waves
(190.1450) Nonlinear optics : Bistability
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in
(190.6135) Nonlinear optics : Spatial solitons

ToC Category:
Nonlinear Optics

Original Manuscript: March 14, 2008
Revised Manuscript: April 9, 2008
Manuscript Accepted: April 10, 2008
Published: April 14, 2008

Oleg Egorov and Falk Lederer, "Midband solitons in an array of quadratically nonlinear cavities," Opt. Express 16, 6050-6055 (2008)

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  1. T.  Pertsch, T.  Zentgraf, U.  Peschel, A.  Bräuer, and F.  Lederer, "Anomalous Refraction and Diffraction in Discrete Optical Systems," Phys. Rev. Lett. 88, 093901 (2002). [CrossRef] [PubMed]
  2. H. S.  Eisenberg, Y.  Silberberg, R.  Morandotti, and J. S.  Aitchison, "Diffraction Management," Phys. Rev. Lett. 85, 1863-1866 (2000). [CrossRef] [PubMed]
  3. J.  Meier, G. I.  Stegeman, D. N.  Christodoulides, Y.  Silberberg, R.  Morandotti, H.  Yang, G.  Salamo, M.  Sorel, and J. S.  Aitchison, "Beam interactions with a blocker soliton in one-dimensional arrays," Opt. Lett. 30, 1027-1029 (2005). [CrossRef] [PubMed]
  4. T.  Pertsch, U.  Peschel, and F.  Lederer, "All-optical switching in quadratically nonlinear waveguide arrays," Opt. Lett. 28, 102-104 (2003). [CrossRef] [PubMed]
  5. K.  Staliunas, "Midband Dissipative Spatial Solitons," Phys. Rev. Lett. 91, 053901 (2003). [CrossRef] [PubMed]
  6. O.  Egorov, F.  Lederer, and K.  Staliunas, "Subdiffractive discrete cavity solitons," Opt. Lett. 32, 2106-2108 (2007). [CrossRef] [PubMed]
  7. U.  Peschel, O.  Egorov, and F.  Lederer, "Discrete cavity solitons," Opt. Lett. 29, 1909-1911 (2004). [CrossRef] [PubMed]
  8. O.  Egorov, U.  Peschel, and F.  Lederer, "Discrete quadratic cavity solitons," Phys. Rev. E 71, 056612 (2005). [CrossRef]
  9. O.  Egorov, U.  Peschel, and F.  Lederer, "Mobility of discrete cavity solitons," Phys. Rev. E 72, 066603 (2005). [CrossRef]
  10. O. A.  Egorov, F.  Lederer, and Y. S.  Kivshar, "How does an inclined holding beam affect discrete modulational instability and solitons in nonlinear cavities?" Opt. Express 15, 4149-4158 (2007). [CrossRef] [PubMed]
  11. U.  Peschel, D.  Michaelis, and C. O.  Weiss, "Spatial Solitons in Optical Cavities," IEEE J. Quantum Electron. 39, 51-64 (2003). [CrossRef]
  12. N.  Akhmediev and A.  Ankiewicz, eds., Dissipative Solitons, Lecture Notes in Physics, (Springer, Berlin, 2005) pp. 450.
  13. S.  Fedorov, D.  Michaelis, U.  Peschel, C.  Etrich, D. V.  Skryabin, N.  Rosanov, and F.  Lederer, "Effects of spatial inhomogeneities on the dynamics of cavity solitons in quadratically nonlinear media," Phys. Rev. E 64, 036610 (2001). [CrossRef]
  14. G. L.  Oppo, M.  Brambilla, and L. A.  Lugiato, "Formation and evolution of roll patterns in optical parametric oscillators," Phys. Rev. A 49, 2028-2032 (1994). [CrossRef] [PubMed]
  15. S.  Longhi and A.  Geraci, "Swift-Hohenberg equation for optical parametric oscillators," Phys. Rev. A 54, 4581-4584 (1996). [CrossRef] [PubMed]
  16. M.  Peckus, K.  Staliunas, Z.  Nizauskaite, and V.  Sirutkaitis, "Stripe patterns in degenerate optical parametric oscillators," Opt. Lett. 32, 3014-3016 (2007). [CrossRef] [PubMed]
  17. K.  Staliunas and V. J.  Sanchez-Morcillo, "Localized structures in degenerate optical parametric oscillators," Opt. Communications 139, 306-312 (1997). [CrossRef]
  18. K.  Staliunas and V. J.  Sanchez-Morcillo, "Spatial-localized structures in degenerate optical parametric oscillators," Phys. Rev. A 57, 1454-1457 (1998). [CrossRef]
  19. C.  Etrich, D.  Michaelis, and F.  Lederer, "Bifurcations, stability, and multistability of cavity solitons in parametric downconversion," J. Opt. Soc. Am. B 19, 792-801 (2002). [CrossRef]
  20. D. V.  Skryabin and W. J.  Firth, "Intreraction of cavity solitons in degenerate optical parametric oscillators," Opt. Lett. 24, 1056-1058 (1999). [CrossRef]

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