## Polarization dependent properties of waveguide arrays: band-structure anomaly and high-band localizations

Optics Express, Vol. 13, Issue 6, pp. 1762-1773 (2005)

http://dx.doi.org/10.1364/OPEX.13.001762

Acrobat PDF (947 KB)

### Abstract

We experimentally study polarization dependent linear and nonlinear dynamics in waveguide arrays. We found that in certain arrays, the band structure and the modal shapes of the array modes are markedly different for the two polarizations, in a manner that cannot be simply explained using the effective index approximation. Specifically, one of the gaps was found to be missing for the TM polarization. In the nonlinear regime, we observe mixed-polarization nonlinear localizations in high bands, such as Band-2 Floquet-Bloch vector solitons. The band structure anomaly enabled the excitation of a multiband moving breather.

© 2005 Optical Society of America

## 1. Introduction

### 1.1 Background

1. D. N. Christodoulides, F. Lederer, and Y. Silberberg, “Discretizing light behavior in linear and nonlinear waveguide lattices,” Nature **424**, 817 (2003). [CrossRef] [PubMed]

2. G. I. Stegeman and M. Segev, “Optical spatial solitons and their interactions: universality and diversity,” Science **286**, 1518 (1999). [CrossRef] [PubMed]

3. D. N. Christodoulides and R. I. Joseph, “Discrete self-focusing in nonlinear arrays of coupled waveguides,” Opt. Lett. **13**, 794 (1988). [CrossRef] [PubMed]

8. A. A. Sukhorukov, D. Neshev, W. Krolikowski, and Yu. S. Kivshar, “Nonlinear Bloch-wave interaction and Bragg scattering in optically induced lattices,” Phys. Rev. Lett. **92**, 093901 (2004). [CrossRef] [PubMed]

9. P. St. J. Russell, “Optics of Floquet-Bloch waves in dielectric gratings,” Appl. Phys. B **39**, 231 (1986). [CrossRef]

10. P. Yeh, A. Yariv, and C. S. Hong, “Electromagnetic propagation in periodic stratified media. I. General theory,” J. Opt. Soc. Am. **67**, 423 (1977). [CrossRef]

_{x}component (x being the direction perpendicular to the waveguides) is an integer multiple of the inverse of the lattice constant. At resonance all the reflected waves from the potential steps interfere constructively. As a result the beam is completely reflected from the array and a gap is opened in the allowed set of propagation constants, defining the ‘antiguided’ bands and gaps.

3. D. N. Christodoulides and R. I. Joseph, “Discrete self-focusing in nonlinear arrays of coupled waveguides,” Opt. Lett. **13**, 794 (1988). [CrossRef] [PubMed]

4. H.S. Eisenberg, Y. Silberberg, R. Morandotti, A.R. Boyd, and J.S. Aitchison, “Discrete Spatial Optical Solitons in Waveguide Arrays,” Phys. Rev. Lett. **81**, 3383 (1998). [CrossRef]

3. D. N. Christodoulides and R. I. Joseph, “Discrete self-focusing in nonlinear arrays of coupled waveguides,” Opt. Lett. **13**, 794 (1988). [CrossRef] [PubMed]

4. H.S. Eisenberg, Y. Silberberg, R. Morandotti, A.R. Boyd, and J.S. Aitchison, “Discrete Spatial Optical Solitons in Waveguide Arrays,” Phys. Rev. Lett. **81**, 3383 (1998). [CrossRef]

5. D. Mandelik, H.S. Eisenberg, Y. Silberberg, R. Morandotti, and J.S. Aitchison, “Band Structure of Waveguide Arrays and Excitation of Floquet-Bloch Solitons,” Phys. Rev. Lett. **90**, 53902 (2003). [CrossRef]

6. D. Mandelik, R. Morandotti, J.S. Aitchison, and Y. Silberberg, “Gap solitons in waveguide arrays,” Phys. Rev. Lett. **92**, 93904 (2004) [CrossRef]

8. A. A. Sukhorukov, D. Neshev, W. Krolikowski, and Yu. S. Kivshar, “Nonlinear Bloch-wave interaction and Bragg scattering in optically induced lattices,” Phys. Rev. Lett. **92**, 093901 (2004). [CrossRef] [PubMed]

5. D. Mandelik, H.S. Eisenberg, Y. Silberberg, R. Morandotti, and J.S. Aitchison, “Band Structure of Waveguide Arrays and Excitation of Floquet-Bloch Solitons,” Phys. Rev. Lett. **90**, 53902 (2003). [CrossRef]

_{z}, can be adjusted. This enables phase matched coupling to a particular value of ß in the band diagram (see Fig. 1). The FB modal shapes were directly observed [5

5. D. Mandelik, H.S. Eisenberg, Y. Silberberg, R. Morandotti, and J.S. Aitchison, “Band Structure of Waveguide Arrays and Excitation of Floquet-Bloch Solitons,” Phys. Rev. Lett. **90**, 53902 (2003). [CrossRef]

**90**, 53902 (2003). [CrossRef]

*et al*. have shown [5

**90**, 53902 (2003). [CrossRef]

2. G. I. Stegeman and M. Segev, “Optical spatial solitons and their interactions: universality and diversity,” Science **286**, 1518 (1999). [CrossRef] [PubMed]

13. J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. Ahkmediev, “Observation of Manakov soliton in AlGaAs planar waveguides,” Phys. Rev. Lett. **76**, 3699 (1996). [CrossRef] [PubMed]

14. A Villeneuve, J.U. Kang, J.S. Aitchison, and G.I. Stegeman, “Unity ratio of cross- to self-phase modulation in bulk AlGaAs and AlGaAs/GaAs multiple quantum well waveguides at half the band gap,” Appl. Phys. Lett. **67**, 760 (1995) [CrossRef]

15. J. S. Aitchison, D. C. Hutchings, J. U. Kang, G. I. Stegeman, and A. Villeneuve, “The nonlinear optical properties of AlGaAs at the half band gap,” IEEE J. Quantum Electron. **33**, 341 (1997). [CrossRef]

16. Z. Chen, M. Segev, T. Coskun, and D. N. Christodoulides, “Observation of incoherently coupled photorefractive spatial soliton pairs,” Opt. Lett. **21**, 1436 (1996) [CrossRef] [PubMed]

17. D. N. Christodoulides, S. R. Singh, M. I. Carvalho, and M. Segev, “Incoherently coupled soliton pairs in biased photorefractive crystals,” Appl. Phys. Lett **68**, 1763 (1996). [CrossRef]

18. Jin U. Kang, G. I. Stegeman, and J. S. Aitchison, “Weak Beam Trapping by a Bright Spatial Soliton in AlGaAs Waveguides,” Opt. Lett. **20**, 2069 (1995). [CrossRef] [PubMed]

19. D. N. Christodoulides and R. I. Joseph “Vector solitons in birefringent nonlinear dispersive media,” Opt. lett. **13**, 53 (1988) [CrossRef] [PubMed]

20. J. S. Aitchison, Jin. U. Kang, and G. I. Stegeman, “Signal Gain due to a polarization coupling in an AlGaAs Channnel Waveguide,” App. Phys. Lett **67**, 2456 (1995). [CrossRef]

21. A. Schauer, I. V. Melnikov, and J. S. Aitchison, “Collisions of orthogonally polarized spatial solitons in AlGaAs slab waveguides,” JOSA B **21**, 57 (2004). [CrossRef]

*et al*. [21

21. A. Schauer, I. V. Melnikov, and J. S. Aitchison, “Collisions of orthogonally polarized spatial solitons in AlGaAs slab waveguides,” JOSA B **21**, 57 (2004). [CrossRef]

### 1.2 Experimental setup

*OPAL*), pumped by a 810nm Ti:Sapphire (

*Tsunami*) laser, producing 4nJ pulses at a repetition rate of 80MHz. The average power is 320mW, the pulse peak power is about 40kW, the pulse length is about 120fsec and the wavelength is 1530nm. We use this wavelength in order to achieve optimal nonlinear response of our AlGaAs samples, in terms of the Kerr-coefficient to nonlinear-absorption ratio [15

15. J. S. Aitchison, D. C. Hutchings, J. U. Kang, G. I. Stegeman, and A. Villeneuve, “The nonlinear optical properties of AlGaAs at the half band gap,” IEEE J. Quantum Electron. **33**, 341 (1997). [CrossRef]

_{2}=1.5×10

^{-13}and 1.43×10

^{-13}cm

^{2}/Watt, respectively. The linear birefringence is estimated to be of the order of 10

^{-4}[13

13. J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. Ahkmediev, “Observation of Manakov soliton in AlGaAs planar waveguides,” Phys. Rev. Lett. **76**, 3699 (1996). [CrossRef] [PubMed]

22. J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Discrete Vector Solitons in Kerr Nonlinear Waveguide Arrays,” Phys. Rev. Lett. **91**, 143907 (2003). [CrossRef] [PubMed]

24. D. Mandelik, H. Eisenberg, Y. Silberberg, R. Morandotti, and J.S. Aitchison “Observation of mutually trapped multiband optical breathers in waveguide arrays,” Phys. Rev. Lett. **90**, 253902 (2003). [CrossRef] [PubMed]

## 2. Linear band structure and Floquet-Bloch modes for the TE and TM polarizations:

**90**, 53902 (2003). [CrossRef]

**90**, 53902 (2003). [CrossRef]

10. P. Yeh, A. Yariv, and C. S. Hong, “Electromagnetic propagation in periodic stratified media. I. General theory,” J. Opt. Soc. Am. **67**, 423 (1977). [CrossRef]

## 3. Nonlinear localizations

### 3.1 Formation of TE and TM Floquet-Bloch solitons

**90**, 53902 (2003). [CrossRef]

### 3.2 Mixed-polarization nonlinear localizations in high-bands

*both*TE and TM components. It is well known that there are two important limits when a field which contains both polarization component propagates in a nonlinear medium [13

13. J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. Ahkmediev, “Observation of Manakov soliton in AlGaAs planar waveguides,” Phys. Rev. Lett. **76**, 3699 (1996). [CrossRef] [PubMed]

20. J. S. Aitchison, Jin. U. Kang, and G. I. Stegeman, “Signal Gain due to a polarization coupling in an AlGaAs Channnel Waveguide,” App. Phys. Lett **67**, 2456 (1995). [CrossRef]

22. J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Discrete Vector Solitons in Kerr Nonlinear Waveguide Arrays,” Phys. Rev. Lett. **91**, 143907 (2003). [CrossRef] [PubMed]

#### 3.2.1 Excitation of vector Floquet — Bloch Solitons

*et al*. [22

22. J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Discrete Vector Solitons in Kerr Nonlinear Waveguide Arrays,” Phys. Rev. Lett. **91**, 143907 (2003). [CrossRef] [PubMed]

*discrete*vector solitons in AlGaAs waveguide arrays. At sufficiently high power levels the beam locked into a highly localized vector discrete soliton that required the presence of both polarization components of the beam. In this section, we demonstrate experimentally the existence of

*Floquet-Bloch vector solitons*; That is, we show self-trapping of the composite beam in higher, antiguided bands of the band structure. We verify that the trapping occurs only when both components are present. When only one of the two is present, it lacks the power needed for self-trapping, and exhibits strong diffraction.

*a jointly-trapped*vector soliton has been excited in the array.

#### 3.2.2 Guiding of a weak Floquet-Bloch mode by a bright, orthogonally polarized Floquet-Bloch soliton

18. Jin U. Kang, G. I. Stegeman, and J. S. Aitchison, “Weak Beam Trapping by a Bright Spatial Soliton in AlGaAs Waveguides,” Opt. Lett. **20**, 2069 (1995). [CrossRef] [PubMed]

23. J. R. Salgueiro, A. A. Sukhorukov, and Yu. S. Kivshar, “Spatial optical solitons supported by mutual focusing,” Opt. Lett. **28**, 1457 (2003). [CrossRef] [PubMed]

14. A Villeneuve, J.U. Kang, J.S. Aitchison, and G.I. Stegeman, “Unity ratio of cross- to self-phase modulation in bulk AlGaAs and AlGaAs/GaAs multiple quantum well waveguides at half the band gap,” Appl. Phys. Lett. **67**, 760 (1995) [CrossRef]

#### 3.3 Formation and break-up of a multiband breather

24. D. Mandelik, H. Eisenberg, Y. Silberberg, R. Morandotti, and J.S. Aitchison “Observation of mutually trapped multiband optical breathers in waveguide arrays,” Phys. Rev. Lett. **90**, 253902 (2003). [CrossRef] [PubMed]

*a moving breather*[25

25. S. Flach and C. R. Willis, “Discrete Breathers,” Phys. Rep. **295**, 181 (1998); [CrossRef]

25. S. Flach and C. R. Willis, “Discrete Breathers,” Phys. Rep. **295**, 181 (1998); [CrossRef]

24. D. Mandelik, H. Eisenberg, Y. Silberberg, R. Morandotti, and J.S. Aitchison “Observation of mutually trapped multiband optical breathers in waveguide arrays,” Phys. Rev. Lett. **90**, 253902 (2003). [CrossRef] [PubMed]

26. O. Cohen, T. Schwartz, J. E. Fleischer, M. Segev, and D. N. Christodoulides, “Multi-band vector lattice solitons,” Phys. Rev. Lett. **91**, 113901 (2003). [CrossRef] [PubMed]

27. A. A. Sukhorukov and Yu. S. Kivshar, “Multigap discrete vector solitons,” Phys. Rev. Lett. **91**, 113902–4 (2003). [CrossRef] [PubMed]

## 4. Conclusions

## Acknowledgments

## References and links

1. | D. N. Christodoulides, F. Lederer, and Y. Silberberg, “Discretizing light behavior in linear and nonlinear waveguide lattices,” Nature |

2. | G. I. Stegeman and M. Segev, “Optical spatial solitons and their interactions: universality and diversity,” Science |

3. | D. N. Christodoulides and R. I. Joseph, “Discrete self-focusing in nonlinear arrays of coupled waveguides,” Opt. Lett. |

4. | H.S. Eisenberg, Y. Silberberg, R. Morandotti, A.R. Boyd, and J.S. Aitchison, “Discrete Spatial Optical Solitons in Waveguide Arrays,” Phys. Rev. Lett. |

5. | D. Mandelik, H.S. Eisenberg, Y. Silberberg, R. Morandotti, and J.S. Aitchison, “Band Structure of Waveguide Arrays and Excitation of Floquet-Bloch Solitons,” Phys. Rev. Lett. |

6. | D. Mandelik, R. Morandotti, J.S. Aitchison, and Y. Silberberg, “Gap solitons in waveguide arrays,” Phys. Rev. Lett. |

7. | J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically-induced nonlinear photonic lattices,” Nature |

8. | A. A. Sukhorukov, D. Neshev, W. Krolikowski, and Yu. S. Kivshar, “Nonlinear Bloch-wave interaction and Bragg scattering in optically induced lattices,” Phys. Rev. Lett. |

9. | P. St. J. Russell, “Optics of Floquet-Bloch waves in dielectric gratings,” Appl. Phys. B |

10. | P. Yeh, A. Yariv, and C. S. Hong, “Electromagnetic propagation in periodic stratified media. I. General theory,” J. Opt. Soc. Am. |

11. | V.E. Zakharov and A.B. Shabat, “Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media,” Sov. Phys. JETP |

12. | S. V. Manakov, “On the theory of two-dimensional stationary self-focusing of electromagnetic waves,” Sov. Phys. JETP |

13. | J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. Ahkmediev, “Observation of Manakov soliton in AlGaAs planar waveguides,” Phys. Rev. Lett. |

14. | A Villeneuve, J.U. Kang, J.S. Aitchison, and G.I. Stegeman, “Unity ratio of cross- to self-phase modulation in bulk AlGaAs and AlGaAs/GaAs multiple quantum well waveguides at half the band gap,” Appl. Phys. Lett. |

15. | J. S. Aitchison, D. C. Hutchings, J. U. Kang, G. I. Stegeman, and A. Villeneuve, “The nonlinear optical properties of AlGaAs at the half band gap,” IEEE J. Quantum Electron. |

16. | Z. Chen, M. Segev, T. Coskun, and D. N. Christodoulides, “Observation of incoherently coupled photorefractive spatial soliton pairs,” Opt. Lett. |

17. | D. N. Christodoulides, S. R. Singh, M. I. Carvalho, and M. Segev, “Incoherently coupled soliton pairs in biased photorefractive crystals,” Appl. Phys. Lett |

18. | Jin U. Kang, G. I. Stegeman, and J. S. Aitchison, “Weak Beam Trapping by a Bright Spatial Soliton in AlGaAs Waveguides,” Opt. Lett. |

19. | D. N. Christodoulides and R. I. Joseph “Vector solitons in birefringent nonlinear dispersive media,” Opt. lett. |

20. | J. S. Aitchison, Jin. U. Kang, and G. I. Stegeman, “Signal Gain due to a polarization coupling in an AlGaAs Channnel Waveguide,” App. Phys. Lett |

21. | A. Schauer, I. V. Melnikov, and J. S. Aitchison, “Collisions of orthogonally polarized spatial solitons in AlGaAs slab waveguides,” JOSA B |

22. | J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Discrete Vector Solitons in Kerr Nonlinear Waveguide Arrays,” Phys. Rev. Lett. |

23. | J. R. Salgueiro, A. A. Sukhorukov, and Yu. S. Kivshar, “Spatial optical solitons supported by mutual focusing,” Opt. Lett. |

24. | D. Mandelik, H. Eisenberg, Y. Silberberg, R. Morandotti, and J.S. Aitchison “Observation of mutually trapped multiband optical breathers in waveguide arrays,” Phys. Rev. Lett. |

25. | S. Flach and C. R. Willis, “Discrete Breathers,” Phys. Rep. |

26. | O. Cohen, T. Schwartz, J. E. Fleischer, M. Segev, and D. N. Christodoulides, “Multi-band vector lattice solitons,” Phys. Rev. Lett. |

27. | A. A. Sukhorukov and Yu. S. Kivshar, “Multigap discrete vector solitons,” Phys. Rev. Lett. |

**OCIS Codes**

(130.2790) Integrated optics : Guided waves

(190.3270) Nonlinear optics : Kerr effect

(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in

(190.5530) Nonlinear optics : Pulse propagation and temporal solitons

(230.4320) Optical devices : Nonlinear optical devices

(230.7370) Optical devices : Waveguides

**ToC Category:**

Focus Issue: Discrete solitons in nonlinear optics

**History**

Original Manuscript: January 18, 2005

Revised Manuscript: February 10, 2005

Published: March 21, 2005

**Citation**

Yoav Lahini, Daniel Mandelik, Yaron Silberberg, and Roberto Morandotti, "Polarization dependent properties of waveguide arrays: band-structure anomaly and high-band localizations," Opt. Express **13**, 1762-1773 (2005)

http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-6-1762

Sort: Journal | Reset

### References

- D. N. Christodoulides, F. Lederer and Y. Silberberg, �??Discretizing light behavior in linear and nonlinear waveguide lattices,�?? Nature 424, 817 (2003). [CrossRef] [PubMed]
- G. I. Stegeman and M. Segev, �??Optical spatial solitons and their interactions: universality and diversity,�?? Science 286, 1518 (1999). [CrossRef] [PubMed]
- D. N. Christodoulides and R. I. Joseph, �??Discrete self-focusing in nonlinear arrays of coupled waveguides,�?? Opt. Lett. 13, 794 (1988). [CrossRef] [PubMed]
- H.S. Eisenberg, Y. Silberberg, R. Morandotti, A.R. Boyd and J.S. Aitchison, �??Discrete Spatial Optical Solitons in Waveguide Arrays,�?? Phys. Rev. Lett. 81, 3383 (1998). [CrossRef]
- D. Mandelik, H.S. Eisenberg, Y. Silberberg, R. Morandotti and J.S. Aitchison, �??Band Structure of Waveguide Arrays and Excitation of Floquet-Bloch Solitons,�?? Phys. Rev. Lett. 90, 53902 (2003). [CrossRef]
- D. Mandelik, R. Morandotti, J.S. Aitchison and Y. Silberberg, �??Gap solitons in waveguide arrays,�?? Phys. Rev. Lett. 92, 93904 (2004) [CrossRef]
- J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, �??Observation of two-dimensional discrete solitons in optically-induced nonlinear photonic lattices,�?? Nature 422, 147 (2003). [CrossRef] [PubMed]
- A. A. Sukhorukov, D. Neshev, W. Krolikowski, and Yu. S. Kivshar, �??Nonlinear Bloch-wave interaction and Bragg scattering in optically induced lattices,�?? Phys. Rev. Lett. 92, 093901 (2004). [CrossRef] [PubMed]
- P. St. J. Russell, �??Optics of Floquet-Bloch waves in dielectric gratings,�?? Appl. Phys. B 39, 231 (1986). [CrossRef]
- P. Yeh, A. Yariv, and C. S. Hong, �??Electromagnetic propagation in periodic stratified media. I. General theory,�?? J. Opt. Soc. Am. 67, 423 (1977). [CrossRef]
- V.E. Zakharov, A.B. Shabat, �??Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media,�?? Sov. Phys. JETP 34, 62 (1972)
- S. V. Manakov, �??On the theory of two-dimensional stationary self-focusing of electromagnetic waves,�?? Sov. Phys. JETP 38, 248 (1974).
- J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. Ahkmediev, �??Observation of Manakov soliton in AlGaAs planar waveguides,�?? Phys. Rev. Lett. 76, 3699 (1996). [CrossRef] [PubMed]
- A Villeneuve, J.U. Kang, J.S. Aitchison , and G.I. Stegeman, �??Unity ratio of cross- to self-phase modulation in bulk AlGaAs and AlGaAs/GaAs multiple quantum well waveguides at half the band gap,�?? Appl. Phys. Lett. 67, 760 (1995) [CrossRef]
- J. S. Aitchison, D. C. Hutchings, J. U. Kang, G. I. Stegeman, and A. Villeneuve, �??The nonlinear optical properties of AlGaAs at the half band gap,�?? IEEE J. Quantum Electron. 33, 341 (1997). [CrossRef]
- Z. Chen, M. Segev, T. Coskun and D. N. Christodoulides, �??Observation of incoherently coupled photorefractive spatial soliton pairs,�?? Opt. Lett. 21, 1436 (1996) [CrossRef] [PubMed]
- D. N. Christodoulides, S. R. Singh, M. I. Carvalho and M. Segev, �??Incoherently coupled soliton pairs in biased photorefractive crystals,�?? Appl. Phys. Lett 68, 1763 (1996). [CrossRef]
- Jin U. Kang, G. I. Stegeman, and J. S. Aitchison, �??Weak Beam Trapping by a Bright Spatial Soliton in AlGaAs Waveguides,�?? Opt. Lett. 20, 2069 (1995). [CrossRef] [PubMed]
- D. N. Christodoulides and R. I. Joseph �??Vector solitons in birefringent nonlinear dispersive media,�?? Opt. lett. 13, 53 (1988) [CrossRef] [PubMed]
- J. S. Aitchison, Jin. U. Kang, G. I. Stegeman, �??Signal Gain due to a polarization coupling in an AlGaAs Channnel Waveguide,�?? App. Phys. Lett 67, 2456 (1995). [CrossRef]
- A. Schauer, I. V. Melnikov and J. S. Aitchison, �??Collisions of orthogonally polarized spatial solitons in AlGaAs slab waveguides,�?? JOSA B 21, 57 (2004). [CrossRef]
- J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, �??Discrete Vector Solitons in Kerr Nonlinear Waveguide Arrays,�?? Phys. Rev. Lett. 91, 143907 (2003). [CrossRef] [PubMed]
- J. R. Salgueiro, A. A. Sukhorukov and Yu. S. Kivshar, �??Spatial optical solitons supported by mutual focusing,�?? Opt. Lett. 28, 1457 (2003). [CrossRef] [PubMed]
- D. Mandelik, H. Eisenberg, Y. Silberberg, R. Morandotti and J.S. Aitchison �??Observation of mutually trapped multiband optical breathers in waveguide arrays,�?? Phys. Rev. Lett. 90, 253902 (2003). [CrossRef] [PubMed]
- S. Flach and C. R. Willis, �??Discrete Breathers,�?? Phys. Rep. 295, 181 (1998) [CrossRef]
- O. Cohen, T. Schwartz, J. E. Fleischer, M. Segev, and D. N. Christodoulides, �??Multi-band vector lattice solitons,�?? Phys. Rev. Lett. 91, 113901 (2003). [CrossRef] [PubMed]
- A. A. Sukhorukov and Yu. S. Kivshar, �??Multigap discrete vector solitons,�?? Phys. Rev. Lett. 91, 113902-4 (2003) [CrossRef] [PubMed]

## 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.