Abstract

We report on the experimental observation of two-dimensional solitons at the interface between square and hexagonal waveguide arrays. In addition to the different symmetries of the lattices, the influence of a varying refractive index modulation depth is investigated. Such variation strongly affects the properties of surface solitons residing at different sides of the interface.

© 2008 Optical Society of America

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  1. K. G. Makris, S. Suntsov, D. N. Christodoulides, and G. I. Stegeman, Opt. Lett. 30, 2466 (2005).
    [Crossref] [PubMed]
  2. S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, Phys. Rev. Lett. 96, 063901 (2006).
    [Crossref] [PubMed]
  3. S. Suntsov, K. Makris, D. Christodoulides, G. Stegeman, C. Rüter, D. Kip, R. Morandotti, M. Volatier, V. Aimez, R. Arès, H. Yang, and G. Salamo, presented at the Topical Meeting on Nonlinear Photonics, Quebec City, Canada, September 2-6, 2007.
  4. S. Suntsov, K. Makris, D. Christodoulides, G. Stegeman, R. Morandotti, M. Volatier, V. Aimez, and R. Arès, in Conference on Lasers and Electro-Optics and Laser Science Conference and Photonic Applications Systems Technologies, OSA Technical Digest Series (CD) (Optical Society of America, 2007), paper CThFF3.
    [PubMed]
  5. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. Lett. 96, 073901 (2006).
    [Crossref] [PubMed]
  6. C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, Phys. Rev. Lett. 97, 083901 (2006).
    [Crossref] [PubMed]
  7. E. Smirnov, M. Stepic, C. E. Rüter, D. Kip, and V. Shandarov, Opt. Lett. 31, 2338 (2006).
    [Crossref] [PubMed]
  8. G. A. Siviloglou, K. G. Makris, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, Y. Min, and W. Sohler, Opt. Express 14, 5508 (2006).
    [Crossref] [PubMed]
  9. Y. V. Kartashov, V. A. Vysloukh, D. Mihalache, and L. Torner, Opt. Lett. 31, 2329 (2006).
    [Crossref] [PubMed]
  10. K. G. Makris, J. Hudock, D. N. Christodoulides, G. I. Stegeman, O. Manela, and M. Segev, Opt. Lett. 31, 2774 (2006).
    [Crossref] [PubMed]
  11. X. Wang, A. Bezryadina, Z. Chen, K. G. Makris, D. N. Christodoulides, and G. I. Stegeman, Phys. Rev. Lett. 98, 123903 (2007).
    [Crossref] [PubMed]
  12. A. Szameit, Y. V. Kartashov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and L. Torner, Phys. Rev. Lett. 98, 173903 (2007).
    [Crossref]
  13. S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, C. E. Rüter, and D. Kip, Opt. Express 15, 4663 (2007).
    [Crossref] [PubMed]
  14. Y. Kominis, A. Papadopoulos, and K. Hizanidis, Opt. Express 15, 10041 (2007).
    [Crossref] [PubMed]
  15. A. Szameit, J. Burghoff, T. Pertsch, S. Nolte, and A. Tünnermann, Opt. Express 14, 6055 (2006).
    [Crossref] [PubMed]
  16. D. Blömer, A. Szameit, F. Dreisow, T. Schreiber, S. Nolte, and A. Tünnermann, Opt. Express 14, 2151 (2006).
    [Crossref] [PubMed]

2007 (5)

S. Suntsov, K. Makris, D. Christodoulides, G. Stegeman, R. Morandotti, M. Volatier, V. Aimez, and R. Arès, in Conference on Lasers and Electro-Optics and Laser Science Conference and Photonic Applications Systems Technologies, OSA Technical Digest Series (CD) (Optical Society of America, 2007), paper CThFF3.
[PubMed]

X. Wang, A. Bezryadina, Z. Chen, K. G. Makris, D. N. Christodoulides, and G. I. Stegeman, Phys. Rev. Lett. 98, 123903 (2007).
[Crossref] [PubMed]

A. Szameit, Y. V. Kartashov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and L. Torner, Phys. Rev. Lett. 98, 173903 (2007).
[Crossref]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, C. E. Rüter, and D. Kip, Opt. Express 15, 4663 (2007).
[Crossref] [PubMed]

Y. Kominis, A. Papadopoulos, and K. Hizanidis, Opt. Express 15, 10041 (2007).
[Crossref] [PubMed]

2006 (9)

2005 (1)

Aimez, V.

S. Suntsov, K. Makris, D. Christodoulides, G. Stegeman, R. Morandotti, M. Volatier, V. Aimez, and R. Arès, in Conference on Lasers and Electro-Optics and Laser Science Conference and Photonic Applications Systems Technologies, OSA Technical Digest Series (CD) (Optical Society of America, 2007), paper CThFF3.
[PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, C. E. Rüter, and D. Kip, Opt. Express 15, 4663 (2007).
[Crossref] [PubMed]

S. Suntsov, K. Makris, D. Christodoulides, G. Stegeman, C. Rüter, D. Kip, R. Morandotti, M. Volatier, V. Aimez, R. Arès, H. Yang, and G. Salamo, presented at the Topical Meeting on Nonlinear Photonics, Quebec City, Canada, September 2-6, 2007.

Arès, R.

S. Suntsov, K. Makris, D. Christodoulides, G. Stegeman, R. Morandotti, M. Volatier, V. Aimez, and R. Arès, in Conference on Lasers and Electro-Optics and Laser Science Conference and Photonic Applications Systems Technologies, OSA Technical Digest Series (CD) (Optical Society of America, 2007), paper CThFF3.
[PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, C. E. Rüter, and D. Kip, Opt. Express 15, 4663 (2007).
[Crossref] [PubMed]

S. Suntsov, K. Makris, D. Christodoulides, G. Stegeman, C. Rüter, D. Kip, R. Morandotti, M. Volatier, V. Aimez, R. Arès, H. Yang, and G. Salamo, presented at the Topical Meeting on Nonlinear Photonics, Quebec City, Canada, September 2-6, 2007.

Bezryadina, A.

X. Wang, A. Bezryadina, Z. Chen, K. G. Makris, D. N. Christodoulides, and G. I. Stegeman, Phys. Rev. Lett. 98, 123903 (2007).
[Crossref] [PubMed]

Blömer, D.

Burghoff, J.

Chen, Z.

X. Wang, A. Bezryadina, Z. Chen, K. G. Makris, D. N. Christodoulides, and G. I. Stegeman, Phys. Rev. Lett. 98, 123903 (2007).
[Crossref] [PubMed]

Christodoulides, D.

S. Suntsov, K. Makris, D. Christodoulides, G. Stegeman, R. Morandotti, M. Volatier, V. Aimez, and R. Arès, in Conference on Lasers and Electro-Optics and Laser Science Conference and Photonic Applications Systems Technologies, OSA Technical Digest Series (CD) (Optical Society of America, 2007), paper CThFF3.
[PubMed]

S. Suntsov, K. Makris, D. Christodoulides, G. Stegeman, C. Rüter, D. Kip, R. Morandotti, M. Volatier, V. Aimez, R. Arès, H. Yang, and G. Salamo, presented at the Topical Meeting on Nonlinear Photonics, Quebec City, Canada, September 2-6, 2007.

Christodoulides, D. N.

Dreisow, F.

A. Szameit, Y. V. Kartashov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and L. Torner, Phys. Rev. Lett. 98, 173903 (2007).
[Crossref]

D. Blömer, A. Szameit, F. Dreisow, T. Schreiber, S. Nolte, and A. Tünnermann, Opt. Express 14, 2151 (2006).
[Crossref] [PubMed]

Haché, A.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, Phys. Rev. Lett. 96, 063901 (2006).
[Crossref] [PubMed]

Hizanidis, K.

Hudock, J.

Iwanow, R.

Kartashov, Y. V.

A. Szameit, Y. V. Kartashov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and L. Torner, Phys. Rev. Lett. 98, 173903 (2007).
[Crossref]

Y. V. Kartashov, V. A. Vysloukh, D. Mihalache, and L. Torner, Opt. Lett. 31, 2329 (2006).
[Crossref] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. Lett. 96, 073901 (2006).
[Crossref] [PubMed]

Kip, D.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, C. E. Rüter, and D. Kip, Opt. Express 15, 4663 (2007).
[Crossref] [PubMed]

E. Smirnov, M. Stepic, C. E. Rüter, D. Kip, and V. Shandarov, Opt. Lett. 31, 2338 (2006).
[Crossref] [PubMed]

S. Suntsov, K. Makris, D. Christodoulides, G. Stegeman, C. Rüter, D. Kip, R. Morandotti, M. Volatier, V. Aimez, R. Arès, H. Yang, and G. Salamo, presented at the Topical Meeting on Nonlinear Photonics, Quebec City, Canada, September 2-6, 2007.

Kivshar, Y. S.

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, Phys. Rev. Lett. 97, 083901 (2006).
[Crossref] [PubMed]

Kominis, Y.

Krolikowski, W.

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, Phys. Rev. Lett. 97, 083901 (2006).
[Crossref] [PubMed]

Makris, K.

S. Suntsov, K. Makris, D. Christodoulides, G. Stegeman, R. Morandotti, M. Volatier, V. Aimez, and R. Arès, in Conference on Lasers and Electro-Optics and Laser Science Conference and Photonic Applications Systems Technologies, OSA Technical Digest Series (CD) (Optical Society of America, 2007), paper CThFF3.
[PubMed]

S. Suntsov, K. Makris, D. Christodoulides, G. Stegeman, C. Rüter, D. Kip, R. Morandotti, M. Volatier, V. Aimez, R. Arès, H. Yang, and G. Salamo, presented at the Topical Meeting on Nonlinear Photonics, Quebec City, Canada, September 2-6, 2007.

Makris, K. G.

Manela, O.

Mihalache, D.

Min, Y.

Mitchell, A.

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, Phys. Rev. Lett. 97, 083901 (2006).
[Crossref] [PubMed]

Molina, M. I.

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, Phys. Rev. Lett. 97, 083901 (2006).
[Crossref] [PubMed]

Morandotti, R.

S. Suntsov, K. Makris, D. Christodoulides, G. Stegeman, R. Morandotti, M. Volatier, V. Aimez, and R. Arès, in Conference on Lasers and Electro-Optics and Laser Science Conference and Photonic Applications Systems Technologies, OSA Technical Digest Series (CD) (Optical Society of America, 2007), paper CThFF3.
[PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, C. E. Rüter, and D. Kip, Opt. Express 15, 4663 (2007).
[Crossref] [PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, Phys. Rev. Lett. 96, 063901 (2006).
[Crossref] [PubMed]

S. Suntsov, K. Makris, D. Christodoulides, G. Stegeman, C. Rüter, D. Kip, R. Morandotti, M. Volatier, V. Aimez, R. Arès, H. Yang, and G. Salamo, presented at the Topical Meeting on Nonlinear Photonics, Quebec City, Canada, September 2-6, 2007.

Neshev, D. N.

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, Phys. Rev. Lett. 97, 083901 (2006).
[Crossref] [PubMed]

Nolte, S.

Papadopoulos, A.

Pertsch, T.

A. Szameit, Y. V. Kartashov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and L. Torner, Phys. Rev. Lett. 98, 173903 (2007).
[Crossref]

A. Szameit, J. Burghoff, T. Pertsch, S. Nolte, and A. Tünnermann, Opt. Express 14, 6055 (2006).
[Crossref] [PubMed]

Rosberg, C. R.

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, Phys. Rev. Lett. 97, 083901 (2006).
[Crossref] [PubMed]

Rüter, C.

S. Suntsov, K. Makris, D. Christodoulides, G. Stegeman, C. Rüter, D. Kip, R. Morandotti, M. Volatier, V. Aimez, R. Arès, H. Yang, and G. Salamo, presented at the Topical Meeting on Nonlinear Photonics, Quebec City, Canada, September 2-6, 2007.

Rüter, C. E.

Salamo, G.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, Phys. Rev. Lett. 96, 063901 (2006).
[Crossref] [PubMed]

S. Suntsov, K. Makris, D. Christodoulides, G. Stegeman, C. Rüter, D. Kip, R. Morandotti, M. Volatier, V. Aimez, R. Arès, H. Yang, and G. Salamo, presented at the Topical Meeting on Nonlinear Photonics, Quebec City, Canada, September 2-6, 2007.

Schiek, R.

Schreiber, T.

Segev, M.

Shandarov, V.

Siviloglou, G. A.

Smirnov, E.

Sohler, W.

Sorel, M.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, Phys. Rev. Lett. 96, 063901 (2006).
[Crossref] [PubMed]

Stegeman, G.

S. Suntsov, K. Makris, D. Christodoulides, G. Stegeman, R. Morandotti, M. Volatier, V. Aimez, and R. Arès, in Conference on Lasers and Electro-Optics and Laser Science Conference and Photonic Applications Systems Technologies, OSA Technical Digest Series (CD) (Optical Society of America, 2007), paper CThFF3.
[PubMed]

S. Suntsov, K. Makris, D. Christodoulides, G. Stegeman, C. Rüter, D. Kip, R. Morandotti, M. Volatier, V. Aimez, R. Arès, H. Yang, and G. Salamo, presented at the Topical Meeting on Nonlinear Photonics, Quebec City, Canada, September 2-6, 2007.

Stegeman, G. I.

Stepic, M.

Suntsov, S.

S. Suntsov, K. Makris, D. Christodoulides, G. Stegeman, R. Morandotti, M. Volatier, V. Aimez, and R. Arès, in Conference on Lasers and Electro-Optics and Laser Science Conference and Photonic Applications Systems Technologies, OSA Technical Digest Series (CD) (Optical Society of America, 2007), paper CThFF3.
[PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, C. E. Rüter, and D. Kip, Opt. Express 15, 4663 (2007).
[Crossref] [PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, Phys. Rev. Lett. 96, 063901 (2006).
[Crossref] [PubMed]

K. G. Makris, S. Suntsov, D. N. Christodoulides, and G. I. Stegeman, Opt. Lett. 30, 2466 (2005).
[Crossref] [PubMed]

S. Suntsov, K. Makris, D. Christodoulides, G. Stegeman, C. Rüter, D. Kip, R. Morandotti, M. Volatier, V. Aimez, R. Arès, H. Yang, and G. Salamo, presented at the Topical Meeting on Nonlinear Photonics, Quebec City, Canada, September 2-6, 2007.

Szameit, A.

Torner, L.

A. Szameit, Y. V. Kartashov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and L. Torner, Phys. Rev. Lett. 98, 173903 (2007).
[Crossref]

Y. V. Kartashov, V. A. Vysloukh, D. Mihalache, and L. Torner, Opt. Lett. 31, 2329 (2006).
[Crossref] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. Lett. 96, 073901 (2006).
[Crossref] [PubMed]

Tünnermann, A.

Vicencio, R. A.

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, Phys. Rev. Lett. 97, 083901 (2006).
[Crossref] [PubMed]

Volatier, M.

S. Suntsov, K. Makris, D. Christodoulides, G. Stegeman, R. Morandotti, M. Volatier, V. Aimez, and R. Arès, in Conference on Lasers and Electro-Optics and Laser Science Conference and Photonic Applications Systems Technologies, OSA Technical Digest Series (CD) (Optical Society of America, 2007), paper CThFF3.
[PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, C. E. Rüter, and D. Kip, Opt. Express 15, 4663 (2007).
[Crossref] [PubMed]

S. Suntsov, K. Makris, D. Christodoulides, G. Stegeman, C. Rüter, D. Kip, R. Morandotti, M. Volatier, V. Aimez, R. Arès, H. Yang, and G. Salamo, presented at the Topical Meeting on Nonlinear Photonics, Quebec City, Canada, September 2-6, 2007.

Vysloukh, V. A.

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. Lett. 96, 073901 (2006).
[Crossref] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, D. Mihalache, and L. Torner, Opt. Lett. 31, 2329 (2006).
[Crossref] [PubMed]

Wang, X.

X. Wang, A. Bezryadina, Z. Chen, K. G. Makris, D. N. Christodoulides, and G. I. Stegeman, Phys. Rev. Lett. 98, 123903 (2007).
[Crossref] [PubMed]

Yang, H.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, Phys. Rev. Lett. 96, 063901 (2006).
[Crossref] [PubMed]

S. Suntsov, K. Makris, D. Christodoulides, G. Stegeman, C. Rüter, D. Kip, R. Morandotti, M. Volatier, V. Aimez, R. Arès, H. Yang, and G. Salamo, presented at the Topical Meeting on Nonlinear Photonics, Quebec City, Canada, September 2-6, 2007.

Opt. Express (5)

Opt. Lett. (4)

Phys. Rev. Lett. (5)

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, Phys. Rev. Lett. 96, 063901 (2006).
[Crossref] [PubMed]

X. Wang, A. Bezryadina, Z. Chen, K. G. Makris, D. N. Christodoulides, and G. I. Stegeman, Phys. Rev. Lett. 98, 123903 (2007).
[Crossref] [PubMed]

A. Szameit, Y. V. Kartashov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and L. Torner, Phys. Rev. Lett. 98, 173903 (2007).
[Crossref]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. Lett. 96, 073901 (2006).
[Crossref] [PubMed]

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, Phys. Rev. Lett. 97, 083901 (2006).
[Crossref] [PubMed]

Other (2)

S. Suntsov, K. Makris, D. Christodoulides, G. Stegeman, C. Rüter, D. Kip, R. Morandotti, M. Volatier, V. Aimez, R. Arès, H. Yang, and G. Salamo, presented at the Topical Meeting on Nonlinear Photonics, Quebec City, Canada, September 2-6, 2007.

S. Suntsov, K. Makris, D. Christodoulides, G. Stegeman, R. Morandotti, M. Volatier, V. Aimez, and R. Arès, in Conference on Lasers and Electro-Optics and Laser Science Conference and Photonic Applications Systems Technologies, OSA Technical Digest Series (CD) (Optical Society of America, 2007), paper CThFF3.
[PubMed]

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Figures (5)

Fig. 1
Fig. 1

Power U versus b for (a) p s = 3 , p h = 3.2 and (b) p s = 3.2 , p h = 3 . Curves labeled U s ( U h ) correspond to solitons residing in a square (hexagonal) array. The circles in (a) and (b) correspond to solitons shown in Figs. 2a2c and 2d2f, respectively. Top curves (red online) in (a) and (b) show U s ( b ) for p s = p h = 3 . (c) Microscope image of a laser-written array with marked excited waveguides and a vertical line indicating interface position.

Fig. 2
Fig. 2

Surface solitons at b = ( a ) 0.594, (b) 0.657, (c) 0.589, (d) 0.587, (e) 0.643, and (f) 0.570. In (a)–(c) one has p s = 3 , p h = 3.2 ; in (d)–(f) p s = 3.2 , p h = 3 .

Fig. 3
Fig. 3

Comparison of the output intensity distributions for an excitation of a waveguide in the first row of the square array, when (a) p s = p h , (b) p s > p h , and (c) p s < p h . Top row, experiment; bottom row, theory. In all cases the input power is 3.2 MW .

Fig. 4
Fig. 4

Same as in Fig. 3 but for an excitation of a waveguide in the first row of the hexagonal array.

Fig. 5
Fig. 5

Dynamic excitation of a waveguide in the first row of the square array, when p s < p h . The input power is (a) 62 kW , (b) 1.4 MW , (c) 2 MW , (d) 2.3 MW , (e) 2.7 MW , and (f) 3.2 MW .

Equations (1)

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i q ξ = 1 2 ( 2 q η 2 + 2 q ζ 2 ) q q 2 p R ( η , ζ ) q .

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