Abstract

The observation of discrete spatial solitons in fs laser written waveguide arrays in fused silica is reported for the first time. The fs writing process permits the specific setting of the linear and nonlinear guiding properties of the waveguides. The results in this paper reveal a new avenue for the fabrication of various nonlinear optical devices.

© 2005 Optical Society of America

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References

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  1. K. Davies , K. Miura , N. Sugimoto , and K. Hirao , “ Writing waveguides in glass with a fs-laser ,” Opt. Lett.   21 , 1729 – 1731 ( 1996 ).
    [Crossref]
  2. S. Nolte , M. Will , J. Burghoff , and A. Tuennermann , “ Femtosecond waveguide writing: a new avenue to three-dimensional integrated optics ,” Appl. Phys. A.   77 , 109 – 111 ( 2003 ).
    [Crossref]
  3. T. Pertsch , U. Peschel , F. Lederer , J. Burghoff , M. Will , S. Nolte , and A. Tuennermann , “ Discrete diffraction in two-dimensional arrays of coupled waveguides in silica ,” Opt. Lett.   29 , 468 – 470 ( 2004 ).
    [Crossref] [PubMed]
  4. T. Pertsch , T. Zentgraf , U. Peschel , A. Braeuer , and F. Lederer , “ Anomalous refraction and diffraction in discrete optical systems ,” Phys. Rev. Lett.   88 , 0939011 – 4 ( 2002 ).
    [Crossref]
  5. D. Christodoulides and R. Joseph , “ Discrete self-focusing in nonlinear arrays of coupled waveguides ,” Opt. Lett.   13 , 794 – 796 ( 1988 ).
    [Crossref] [PubMed]
  6. 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]
  7. N. Efremidis , S. Sears , D. Christodoulides , J. Fleischer , and M. Segev , “ Discrete Solitons in photorefractive optically induced nonlinear photonic lattices ,” Phys. Rev. E   66 , 04660211 – 5 ( 2002 ).
    [Crossref]
  8. J. Fleischer , M. Segev , N. Efremidis , and D. Christidoulides , “ Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices ,” Nature   422 , 147 – 150 ( 2003 ).
    [Crossref] [PubMed]
  9. A. Fratalocchi , G. Assanto , K. Brzdakiewicz , and M. Karpierz , “ Discrete propagation and spatial solitons in nematic liquid crystals ,” Opt. Lett.   29 , 1530 – 1532 ( 2004 ).
    [Crossref] [PubMed]
  10. T. Pertsch , U. Peschel , S. Nolte , A. Tuennermann , F. Lederer , J. Kobelke , K. Schuster , and H. Bartelt , “ Nonlin-earity and disorder in two-dimensional fiber arrays ,” Phys. Rev. Lett.   39 , 468 – 470 ( 2004 ).
  11. J. Fleischer , G. Bartal , O. Cohen , T. Schwartz , O. Manela , B. Freedman , M. Segev , H. Buljan , and N. Efremidis , “ Spatial photonics in nonlinear waveguide arrays ,” Opt. Express   13 , 1780 – 1796 ( 2005 ) http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-6-1780.
    [Crossref] [PubMed]
  12. E. Eugenieva , N. Efremidis , and D. Christodoulides , “ Design of switching junctions for two-dimensional discrete soliton networks ,” Opt. Lett.   26 , 1978 – 1980 ( 2001 ).
    [Crossref]
  13. D. Christodoulides and E. Eugenieva , “ Blocking and routing discrete solitons in two-dimensional networks of nonlinear waveguide arrays ,” Phys. Rev. Lett.   87 , 2339011 – 4 ( 2001 ).
    [Crossref]
  14. I. Mansour and F. Caccavale , “ An improved procedure to calculate the refractive index profile from the measured near-field intensity ,” J. Lightwave Technol.   14 , 423 – 428 ( 1996 ).
    [Crossref]
  15. A. Jones , “ Coupling of optical fibers and scattering in fibers ,” J. Opt. Soc. Am.   55 , 261 – 271 ( 1965 ).
    [Crossref]
  16. G. Agrawal , Nonlineaer Fiber Optics , 3rd ed. ( Academic Press , 2001 ).
  17. A. Zoubir , M. Richardson , L. Canioni , A. Brocas , and L. Sarger , “ Optical properties of IR femtosecond laser-modified fused silica and application to waveguide fabrication ,” J. Opt. Soc. Am. B (to be published).

2005 (1)

2004 (3)

2003 (2)

S. Nolte , M. Will , J. Burghoff , and A. Tuennermann , “ Femtosecond waveguide writing: a new avenue to three-dimensional integrated optics ,” Appl. Phys. A.   77 , 109 – 111 ( 2003 ).
[Crossref]

J. Fleischer , M. Segev , N. Efremidis , and D. Christidoulides , “ Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices ,” Nature   422 , 147 – 150 ( 2003 ).
[Crossref] [PubMed]

2002 (2)

N. Efremidis , S. Sears , D. Christodoulides , J. Fleischer , and M. Segev , “ Discrete Solitons in photorefractive optically induced nonlinear photonic lattices ,” Phys. Rev. E   66 , 04660211 – 5 ( 2002 ).
[Crossref]

T. Pertsch , T. Zentgraf , U. Peschel , A. Braeuer , and F. Lederer , “ Anomalous refraction and diffraction in discrete optical systems ,” Phys. Rev. Lett.   88 , 0939011 – 4 ( 2002 ).
[Crossref]

2001 (2)

D. Christodoulides and E. Eugenieva , “ Blocking and routing discrete solitons in two-dimensional networks of nonlinear waveguide arrays ,” Phys. Rev. Lett.   87 , 2339011 – 4 ( 2001 ).
[Crossref]

E. Eugenieva , N. Efremidis , and D. Christodoulides , “ Design of switching junctions for two-dimensional discrete soliton networks ,” Opt. Lett.   26 , 1978 – 1980 ( 2001 ).
[Crossref]

1998 (1)

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]

1996 (2)

I. Mansour and F. Caccavale , “ An improved procedure to calculate the refractive index profile from the measured near-field intensity ,” J. Lightwave Technol.   14 , 423 – 428 ( 1996 ).
[Crossref]

K. Davies , K. Miura , N. Sugimoto , and K. Hirao , “ Writing waveguides in glass with a fs-laser ,” Opt. Lett.   21 , 1729 – 1731 ( 1996 ).
[Crossref]

1988 (1)

1965 (1)

Agrawal, G.

G. Agrawal , Nonlineaer Fiber Optics , 3rd ed. ( Academic Press , 2001 ).

Aitchison, J.

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]

Assanto, G.

Bartal, G.

Bartelt, H.

T. Pertsch , U. Peschel , S. Nolte , A. Tuennermann , F. Lederer , J. Kobelke , K. Schuster , and H. Bartelt , “ Nonlin-earity and disorder in two-dimensional fiber arrays ,” Phys. Rev. Lett.   39 , 468 – 470 ( 2004 ).

Boyd, A.

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]

Braeuer, A.

T. Pertsch , T. Zentgraf , U. Peschel , A. Braeuer , and F. Lederer , “ Anomalous refraction and diffraction in discrete optical systems ,” Phys. Rev. Lett.   88 , 0939011 – 4 ( 2002 ).
[Crossref]

Brocas, A.

A. Zoubir , M. Richardson , L. Canioni , A. Brocas , and L. Sarger , “ Optical properties of IR femtosecond laser-modified fused silica and application to waveguide fabrication ,” J. Opt. Soc. Am. B (to be published).

Brzdakiewicz, K.

Buljan, H.

Burghoff, J.

T. Pertsch , U. Peschel , F. Lederer , J. Burghoff , M. Will , S. Nolte , and A. Tuennermann , “ Discrete diffraction in two-dimensional arrays of coupled waveguides in silica ,” Opt. Lett.   29 , 468 – 470 ( 2004 ).
[Crossref] [PubMed]

S. Nolte , M. Will , J. Burghoff , and A. Tuennermann , “ Femtosecond waveguide writing: a new avenue to three-dimensional integrated optics ,” Appl. Phys. A.   77 , 109 – 111 ( 2003 ).
[Crossref]

Caccavale, F.

I. Mansour and F. Caccavale , “ An improved procedure to calculate the refractive index profile from the measured near-field intensity ,” J. Lightwave Technol.   14 , 423 – 428 ( 1996 ).
[Crossref]

Canioni, L.

A. Zoubir , M. Richardson , L. Canioni , A. Brocas , and L. Sarger , “ Optical properties of IR femtosecond laser-modified fused silica and application to waveguide fabrication ,” J. Opt. Soc. Am. B (to be published).

Christidoulides, D.

J. Fleischer , M. Segev , N. Efremidis , and D. Christidoulides , “ Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices ,” Nature   422 , 147 – 150 ( 2003 ).
[Crossref] [PubMed]

Christodoulides, D.

N. Efremidis , S. Sears , D. Christodoulides , J. Fleischer , and M. Segev , “ Discrete Solitons in photorefractive optically induced nonlinear photonic lattices ,” Phys. Rev. E   66 , 04660211 – 5 ( 2002 ).
[Crossref]

D. Christodoulides and E. Eugenieva , “ Blocking and routing discrete solitons in two-dimensional networks of nonlinear waveguide arrays ,” Phys. Rev. Lett.   87 , 2339011 – 4 ( 2001 ).
[Crossref]

E. Eugenieva , N. Efremidis , and D. Christodoulides , “ Design of switching junctions for two-dimensional discrete soliton networks ,” Opt. Lett.   26 , 1978 – 1980 ( 2001 ).
[Crossref]

D. Christodoulides and R. Joseph , “ Discrete self-focusing in nonlinear arrays of coupled waveguides ,” Opt. Lett.   13 , 794 – 796 ( 1988 ).
[Crossref] [PubMed]

Cohen, O.

Davies, K.

Efremidis, N.

J. Fleischer , G. Bartal , O. Cohen , T. Schwartz , O. Manela , B. Freedman , M. Segev , H. Buljan , and N. Efremidis , “ Spatial photonics in nonlinear waveguide arrays ,” Opt. Express   13 , 1780 – 1796 ( 2005 ) http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-6-1780.
[Crossref] [PubMed]

J. Fleischer , M. Segev , N. Efremidis , and D. Christidoulides , “ Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices ,” Nature   422 , 147 – 150 ( 2003 ).
[Crossref] [PubMed]

N. Efremidis , S. Sears , D. Christodoulides , J. Fleischer , and M. Segev , “ Discrete Solitons in photorefractive optically induced nonlinear photonic lattices ,” Phys. Rev. E   66 , 04660211 – 5 ( 2002 ).
[Crossref]

E. Eugenieva , N. Efremidis , and D. Christodoulides , “ Design of switching junctions for two-dimensional discrete soliton networks ,” Opt. Lett.   26 , 1978 – 1980 ( 2001 ).
[Crossref]

Eisenberg, H.

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]

Eugenieva, E.

D. Christodoulides and E. Eugenieva , “ Blocking and routing discrete solitons in two-dimensional networks of nonlinear waveguide arrays ,” Phys. Rev. Lett.   87 , 2339011 – 4 ( 2001 ).
[Crossref]

E. Eugenieva , N. Efremidis , and D. Christodoulides , “ Design of switching junctions for two-dimensional discrete soliton networks ,” Opt. Lett.   26 , 1978 – 1980 ( 2001 ).
[Crossref]

Fleischer, J.

J. Fleischer , G. Bartal , O. Cohen , T. Schwartz , O. Manela , B. Freedman , M. Segev , H. Buljan , and N. Efremidis , “ Spatial photonics in nonlinear waveguide arrays ,” Opt. Express   13 , 1780 – 1796 ( 2005 ) http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-6-1780.
[Crossref] [PubMed]

J. Fleischer , M. Segev , N. Efremidis , and D. Christidoulides , “ Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices ,” Nature   422 , 147 – 150 ( 2003 ).
[Crossref] [PubMed]

N. Efremidis , S. Sears , D. Christodoulides , J. Fleischer , and M. Segev , “ Discrete Solitons in photorefractive optically induced nonlinear photonic lattices ,” Phys. Rev. E   66 , 04660211 – 5 ( 2002 ).
[Crossref]

Fratalocchi, A.

Freedman, B.

Hirao, K.

Jones, A.

Joseph, R.

Karpierz, M.

Kobelke, J.

T. Pertsch , U. Peschel , S. Nolte , A. Tuennermann , F. Lederer , J. Kobelke , K. Schuster , and H. Bartelt , “ Nonlin-earity and disorder in two-dimensional fiber arrays ,” Phys. Rev. Lett.   39 , 468 – 470 ( 2004 ).

Lederer, F.

T. Pertsch , U. Peschel , S. Nolte , A. Tuennermann , F. Lederer , J. Kobelke , K. Schuster , and H. Bartelt , “ Nonlin-earity and disorder in two-dimensional fiber arrays ,” Phys. Rev. Lett.   39 , 468 – 470 ( 2004 ).

T. Pertsch , U. Peschel , F. Lederer , J. Burghoff , M. Will , S. Nolte , and A. Tuennermann , “ Discrete diffraction in two-dimensional arrays of coupled waveguides in silica ,” Opt. Lett.   29 , 468 – 470 ( 2004 ).
[Crossref] [PubMed]

T. Pertsch , T. Zentgraf , U. Peschel , A. Braeuer , and F. Lederer , “ Anomalous refraction and diffraction in discrete optical systems ,” Phys. Rev. Lett.   88 , 0939011 – 4 ( 2002 ).
[Crossref]

Manela, O.

Mansour, I.

I. Mansour and F. Caccavale , “ An improved procedure to calculate the refractive index profile from the measured near-field intensity ,” J. Lightwave Technol.   14 , 423 – 428 ( 1996 ).
[Crossref]

Miura, K.

Morandotti, R.

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]

Nolte, S.

T. Pertsch , U. Peschel , S. Nolte , A. Tuennermann , F. Lederer , J. Kobelke , K. Schuster , and H. Bartelt , “ Nonlin-earity and disorder in two-dimensional fiber arrays ,” Phys. Rev. Lett.   39 , 468 – 470 ( 2004 ).

T. Pertsch , U. Peschel , F. Lederer , J. Burghoff , M. Will , S. Nolte , and A. Tuennermann , “ Discrete diffraction in two-dimensional arrays of coupled waveguides in silica ,” Opt. Lett.   29 , 468 – 470 ( 2004 ).
[Crossref] [PubMed]

S. Nolte , M. Will , J. Burghoff , and A. Tuennermann , “ Femtosecond waveguide writing: a new avenue to three-dimensional integrated optics ,” Appl. Phys. A.   77 , 109 – 111 ( 2003 ).
[Crossref]

Pertsch, T.

T. Pertsch , U. Peschel , S. Nolte , A. Tuennermann , F. Lederer , J. Kobelke , K. Schuster , and H. Bartelt , “ Nonlin-earity and disorder in two-dimensional fiber arrays ,” Phys. Rev. Lett.   39 , 468 – 470 ( 2004 ).

T. Pertsch , U. Peschel , F. Lederer , J. Burghoff , M. Will , S. Nolte , and A. Tuennermann , “ Discrete diffraction in two-dimensional arrays of coupled waveguides in silica ,” Opt. Lett.   29 , 468 – 470 ( 2004 ).
[Crossref] [PubMed]

T. Pertsch , T. Zentgraf , U. Peschel , A. Braeuer , and F. Lederer , “ Anomalous refraction and diffraction in discrete optical systems ,” Phys. Rev. Lett.   88 , 0939011 – 4 ( 2002 ).
[Crossref]

Peschel, U.

T. Pertsch , U. Peschel , S. Nolte , A. Tuennermann , F. Lederer , J. Kobelke , K. Schuster , and H. Bartelt , “ Nonlin-earity and disorder in two-dimensional fiber arrays ,” Phys. Rev. Lett.   39 , 468 – 470 ( 2004 ).

T. Pertsch , U. Peschel , F. Lederer , J. Burghoff , M. Will , S. Nolte , and A. Tuennermann , “ Discrete diffraction in two-dimensional arrays of coupled waveguides in silica ,” Opt. Lett.   29 , 468 – 470 ( 2004 ).
[Crossref] [PubMed]

T. Pertsch , T. Zentgraf , U. Peschel , A. Braeuer , and F. Lederer , “ Anomalous refraction and diffraction in discrete optical systems ,” Phys. Rev. Lett.   88 , 0939011 – 4 ( 2002 ).
[Crossref]

Richardson, M.

A. Zoubir , M. Richardson , L. Canioni , A. Brocas , and L. Sarger , “ Optical properties of IR femtosecond laser-modified fused silica and application to waveguide fabrication ,” J. Opt. Soc. Am. B (to be published).

Sarger, L.

A. Zoubir , M. Richardson , L. Canioni , A. Brocas , and L. Sarger , “ Optical properties of IR femtosecond laser-modified fused silica and application to waveguide fabrication ,” J. Opt. Soc. Am. B (to be published).

Schuster, K.

T. Pertsch , U. Peschel , S. Nolte , A. Tuennermann , F. Lederer , J. Kobelke , K. Schuster , and H. Bartelt , “ Nonlin-earity and disorder in two-dimensional fiber arrays ,” Phys. Rev. Lett.   39 , 468 – 470 ( 2004 ).

Schwartz, T.

Sears, S.

N. Efremidis , S. Sears , D. Christodoulides , J. Fleischer , and M. Segev , “ Discrete Solitons in photorefractive optically induced nonlinear photonic lattices ,” Phys. Rev. E   66 , 04660211 – 5 ( 2002 ).
[Crossref]

Segev, M.

J. Fleischer , G. Bartal , O. Cohen , T. Schwartz , O. Manela , B. Freedman , M. Segev , H. Buljan , and N. Efremidis , “ Spatial photonics in nonlinear waveguide arrays ,” Opt. Express   13 , 1780 – 1796 ( 2005 ) http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-6-1780.
[Crossref] [PubMed]

J. Fleischer , M. Segev , N. Efremidis , and D. Christidoulides , “ Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices ,” Nature   422 , 147 – 150 ( 2003 ).
[Crossref] [PubMed]

N. Efremidis , S. Sears , D. Christodoulides , J. Fleischer , and M. Segev , “ Discrete Solitons in photorefractive optically induced nonlinear photonic lattices ,” Phys. Rev. E   66 , 04660211 – 5 ( 2002 ).
[Crossref]

Silberberg, Y.

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]

Sugimoto, N.

Tuennermann, A.

T. Pertsch , U. Peschel , F. Lederer , J. Burghoff , M. Will , S. Nolte , and A. Tuennermann , “ Discrete diffraction in two-dimensional arrays of coupled waveguides in silica ,” Opt. Lett.   29 , 468 – 470 ( 2004 ).
[Crossref] [PubMed]

T. Pertsch , U. Peschel , S. Nolte , A. Tuennermann , F. Lederer , J. Kobelke , K. Schuster , and H. Bartelt , “ Nonlin-earity and disorder in two-dimensional fiber arrays ,” Phys. Rev. Lett.   39 , 468 – 470 ( 2004 ).

S. Nolte , M. Will , J. Burghoff , and A. Tuennermann , “ Femtosecond waveguide writing: a new avenue to three-dimensional integrated optics ,” Appl. Phys. A.   77 , 109 – 111 ( 2003 ).
[Crossref]

Will, M.

T. Pertsch , U. Peschel , F. Lederer , J. Burghoff , M. Will , S. Nolte , and A. Tuennermann , “ Discrete diffraction in two-dimensional arrays of coupled waveguides in silica ,” Opt. Lett.   29 , 468 – 470 ( 2004 ).
[Crossref] [PubMed]

S. Nolte , M. Will , J. Burghoff , and A. Tuennermann , “ Femtosecond waveguide writing: a new avenue to three-dimensional integrated optics ,” Appl. Phys. A.   77 , 109 – 111 ( 2003 ).
[Crossref]

Zentgraf, T.

T. Pertsch , T. Zentgraf , U. Peschel , A. Braeuer , and F. Lederer , “ Anomalous refraction and diffraction in discrete optical systems ,” Phys. Rev. Lett.   88 , 0939011 – 4 ( 2002 ).
[Crossref]

Zoubir, A.

A. Zoubir , M. Richardson , L. Canioni , A. Brocas , and L. Sarger , “ Optical properties of IR femtosecond laser-modified fused silica and application to waveguide fabrication ,” J. Opt. Soc. Am. B (to be published).

Appl. Phys. A. (1)

S. Nolte , M. Will , J. Burghoff , and A. Tuennermann , “ Femtosecond waveguide writing: a new avenue to three-dimensional integrated optics ,” Appl. Phys. A.   77 , 109 – 111 ( 2003 ).
[Crossref]

J. Lightwave Technol. (1)

I. Mansour and F. Caccavale , “ An improved procedure to calculate the refractive index profile from the measured near-field intensity ,” J. Lightwave Technol.   14 , 423 – 428 ( 1996 ).
[Crossref]

J. Opt. Soc. Am. (1)

Nature (1)

J. Fleischer , M. Segev , N. Efremidis , and D. Christidoulides , “ Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices ,” Nature   422 , 147 – 150 ( 2003 ).
[Crossref] [PubMed]

Opt. Express (1)

Opt. Lett. (5)

Phys. Rev. E (1)

N. Efremidis , S. Sears , D. Christodoulides , J. Fleischer , and M. Segev , “ Discrete Solitons in photorefractive optically induced nonlinear photonic lattices ,” Phys. Rev. E   66 , 04660211 – 5 ( 2002 ).
[Crossref]

Phys. Rev. Lett. (4)

T. Pertsch , U. Peschel , S. Nolte , A. Tuennermann , F. Lederer , J. Kobelke , K. Schuster , and H. Bartelt , “ Nonlin-earity and disorder in two-dimensional fiber arrays ,” Phys. Rev. Lett.   39 , 468 – 470 ( 2004 ).

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]

T. Pertsch , T. Zentgraf , U. Peschel , A. Braeuer , and F. Lederer , “ Anomalous refraction and diffraction in discrete optical systems ,” Phys. Rev. Lett.   88 , 0939011 – 4 ( 2002 ).
[Crossref]

D. Christodoulides and E. Eugenieva , “ Blocking and routing discrete solitons in two-dimensional networks of nonlinear waveguide arrays ,” Phys. Rev. Lett.   87 , 2339011 – 4 ( 2001 ).
[Crossref]

Other (2)

G. Agrawal , Nonlineaer Fiber Optics , 3rd ed. ( Academic Press , 2001 ).

A. Zoubir , M. Richardson , L. Canioni , A. Brocas , and L. Sarger , “ Optical properties of IR femtosecond laser-modified fused silica and application to waveguide fabrication ,” J. Opt. Soc. Am. B (to be published).

Supplementary Material (1)

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Figures (5)

Fig. 1.
Fig. 1.

Scheme of the writing process in transparent bulk material using fs laser pulses.

Fig. 2.
Fig. 2.

(a) Measured mode profile at λ = 800 nm and (b) corresponding refractive index profile.

Fig. 3.
Fig. 3.

Microscope view of the waveguide array.

Fig. 4.
Fig. 4.

(1.20 MB) Movie of the measured output pattern as a function of increasing input power.

Fig. 5.
Fig. 5.

Comparison for the evolution of the output pattern of the experimental data (left) and the numerical analysis (right). The amplitude in the nth waveguide is shown as a function of the input power.

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

i d dz E n = β E n + c ( E n + 1 + E n 1 ) + κ E n 2 E n = 0 ,
E n ( z ) = i n A 0 exp iβz J n ( 2 cz ) ,
c = π 2 l c = 13.5 m 1 .
κ = ω 0 n 2 ( r ) E n ( r ) 4 rdr v ( 0 E n ( r ) 2 rdr ) 2
κ = n 2 ( eff ) ω 0 E n ( r ) 4 rdr v ( 0 E n ( r ) 2 rdr ) 2 .

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