Abstract

We numerically investigate time-dependent rotation of counterpropagating mutually incoherent self-trapped Gaussian beams in periodic optically induced fixed photonic lattices. We demonstrate the relation between such rotation and less confined discrete solitonic solutions.

© 2007 Optical Society of America

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  1. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton U. Press, 1995).
  2. N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, Phys. Rev. E 66, 046602 (2002).
    [CrossRef]
  3. D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003).
    [CrossRef] [PubMed]
  4. J. Fleischer, T. Carmon, M. Segev, N. Efremidis, and D. Christodoulides, Phys. Rev. Lett. 90, 023902 (2003).
    [CrossRef] [PubMed]
  5. Y. S. Kivshar and G. P. Agrawal, Optical Solitons: from Fibers to Photonic Crystals (Academic, 2003).
  6. D. N. Christodoulides, and R. I. Joseph, Opt. Lett. 13, 794 (1988).
    [CrossRef] [PubMed]
  7. H. Eisenberg, Y. Silberberg, R. Morandotti, A. Boyd, and J. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
    [CrossRef]
  8. J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, Nature 422, 147 (2003).
    [CrossRef] [PubMed]
  9. D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, Phys. Rev. Lett. 92, 123903 (2004).
    [CrossRef] [PubMed]
  10. J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123904 (2004).
    [CrossRef] [PubMed]
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  13. B. B. Baizakov, B. A. Malomed, and M. Salerno, Phys. Rev. E 74, 066615 (2006).
    [CrossRef]
  14. M. S. Petrovic, Opt. Express 14, 9415 (2006).
    [CrossRef] [PubMed]
  15. H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Bräuer, and U. Peschel, Phys. Rev. Lett. 96, 023901 (2006).
    [CrossRef] [PubMed]
  16. H. Trompeter, W. Krolikowski, D. Neshev, A. Desyatnikov, A. Sukhorukov, Y. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, Phys. Rev. Lett. 96, 053903 (2006).
    [CrossRef] [PubMed]
  17. V. I. Petviashvili, Plasma Phys. 2, 469 (1976).
  18. J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, Stud. Appl. Math. 113, 389 (2004).
    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
  22. K. Motzek, Ph. Jander, A. Desyatnikov, M. Belic, C. Denz, and F. Kaiser, Phys. Rev. E 68, 066611 (2003).
    [CrossRef]

2006 (6)

X. Wang, Z. Chen, and P. G. Kevrekidis, Phys. Rev. Lett. 96, 083904 (2006).
[CrossRef] [PubMed]

B. B. Baizakov, B. A. Malomed, and M. Salerno, Phys. Rev. E 74, 066615 (2006).
[CrossRef]

M. S. Petrovic, Opt. Express 14, 9415 (2006).
[CrossRef] [PubMed]

H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Bräuer, and U. Peschel, Phys. Rev. Lett. 96, 023901 (2006).
[CrossRef] [PubMed]

H. Trompeter, W. Krolikowski, D. Neshev, A. Desyatnikov, A. Sukhorukov, Y. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, Phys. Rev. Lett. 96, 053903 (2006).
[CrossRef] [PubMed]

M. Belic, D. Jovic, S. Prvanovic, D. Arsenovic, and M. Petrovic, Opt. Express 14, 794 (2006).
[CrossRef] [PubMed]

2005 (1)

2004 (4)

J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, Stud. Appl. Math. 113, 389 (2004).
[CrossRef]

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef] [PubMed]

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef] [PubMed]

L. Larger, J. P. Goedgebuer, and T. Erneux, Phys. Rev. E 69, 036210 (2004).
[CrossRef]

2003 (5)

K. Motzek, Ph. Jander, A. Desyatnikov, M. Belic, C. Denz, and F. Kaiser, Phys. Rev. E 68, 066611 (2003).
[CrossRef]

D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003).
[CrossRef] [PubMed]

J. Fleischer, T. Carmon, M. Segev, N. Efremidis, and D. Christodoulides, Phys. Rev. Lett. 90, 023902 (2003).
[CrossRef] [PubMed]

Y. S. Kivshar and G. P. Agrawal, Optical Solitons: from Fibers to Photonic Crystals (Academic, 2003).

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, Nature 422, 147 (2003).
[CrossRef] [PubMed]

2002 (1)

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, Phys. Rev. E 66, 046602 (2002).
[CrossRef]

1998 (1)

H. Eisenberg, Y. Silberberg, R. Morandotti, A. Boyd, and J. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[CrossRef]

1995 (1)

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton U. Press, 1995).

1988 (1)

1976 (1)

V. I. Petviashvili, Plasma Phys. 2, 469 (1976).

Agrawal, G. P.

Y. S. Kivshar and G. P. Agrawal, Optical Solitons: from Fibers to Photonic Crystals (Academic, 2003).

Aitchison, J.

H. Eisenberg, Y. Silberberg, R. Morandotti, A. Boyd, and J. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[CrossRef]

Alexander, T. J.

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef] [PubMed]

Arsenovic, D.

Baizakov, B. B.

B. B. Baizakov, B. A. Malomed, and M. Salerno, Phys. Rev. E 74, 066615 (2006).
[CrossRef]

Bartal, G.

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef] [PubMed]

Belic, M.

M. Belic, D. Jovic, S. Prvanovic, D. Arsenovic, and M. Petrovic, Opt. Express 14, 794 (2006).
[CrossRef] [PubMed]

K. Motzek, Ph. Jander, A. Desyatnikov, M. Belic, C. Denz, and F. Kaiser, Phys. Rev. E 68, 066611 (2003).
[CrossRef]

Bezryadina, A.

J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, Stud. Appl. Math. 113, 389 (2004).
[CrossRef]

Boyd, A.

H. Eisenberg, Y. Silberberg, R. Morandotti, A. Boyd, and J. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[CrossRef]

Bräuer, A.

H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Bräuer, and U. Peschel, Phys. Rev. Lett. 96, 023901 (2006).
[CrossRef] [PubMed]

Carmon, T.

J. Fleischer, T. Carmon, M. Segev, N. Efremidis, and D. Christodoulides, Phys. Rev. Lett. 90, 023902 (2003).
[CrossRef] [PubMed]

Chen, Z.

X. Wang, Z. Chen, and P. G. Kevrekidis, Phys. Rev. Lett. 96, 083904 (2006).
[CrossRef] [PubMed]

J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, Stud. Appl. Math. 113, 389 (2004).
[CrossRef]

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef] [PubMed]

Christodoulides, D.

J. Fleischer, T. Carmon, M. Segev, N. Efremidis, and D. Christodoulides, Phys. Rev. Lett. 90, 023902 (2003).
[CrossRef] [PubMed]

Christodoulides, D. N.

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef] [PubMed]

D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003).
[CrossRef] [PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, Nature 422, 147 (2003).
[CrossRef] [PubMed]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, Phys. Rev. E 66, 046602 (2002).
[CrossRef]

D. N. Christodoulides, and R. I. Joseph, Opt. Lett. 13, 794 (1988).
[CrossRef] [PubMed]

Cohen, O.

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef] [PubMed]

Denz, C.

K. Motzek, Ph. Jander, A. Desyatnikov, M. Belic, C. Denz, and F. Kaiser, Phys. Rev. E 68, 066611 (2003).
[CrossRef]

Desyatnikov, A.

H. Trompeter, W. Krolikowski, D. Neshev, A. Desyatnikov, A. Sukhorukov, Y. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, Phys. Rev. Lett. 96, 053903 (2006).
[CrossRef] [PubMed]

K. Motzek, Ph. Jander, A. Desyatnikov, M. Belic, C. Denz, and F. Kaiser, Phys. Rev. E 68, 066611 (2003).
[CrossRef]

Efremidis, N.

J. Fleischer, T. Carmon, M. Segev, N. Efremidis, and D. Christodoulides, Phys. Rev. Lett. 90, 023902 (2003).
[CrossRef] [PubMed]

Efremidis, N. K.

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, Nature 422, 147 (2003).
[CrossRef] [PubMed]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, Phys. Rev. E 66, 046602 (2002).
[CrossRef]

Eisenberg, H.

H. Eisenberg, Y. Silberberg, R. Morandotti, A. Boyd, and J. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[CrossRef]

Erneux, T.

L. Larger, J. P. Goedgebuer, and T. Erneux, Phys. Rev. E 69, 036210 (2004).
[CrossRef]

Fleischer, J.

J. Fleischer, T. Carmon, M. Segev, N. Efremidis, and D. Christodoulides, Phys. Rev. Lett. 90, 023902 (2003).
[CrossRef] [PubMed]

Fleischer, J. W.

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef] [PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, Nature 422, 147 (2003).
[CrossRef] [PubMed]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, Phys. Rev. E 66, 046602 (2002).
[CrossRef]

Goedgebuer, J. P.

L. Larger, J. P. Goedgebuer, and T. Erneux, Phys. Rev. E 69, 036210 (2004).
[CrossRef]

Hudock, J.

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef] [PubMed]

Jander, Ph.

K. Motzek, Ph. Jander, A. Desyatnikov, M. Belic, C. Denz, and F. Kaiser, Phys. Rev. E 68, 066611 (2003).
[CrossRef]

Joannopoulos, J. D.

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton U. Press, 1995).

Joseph, R. I.

Jovic, D.

Kaiser, F.

K. Motzek, Ph. Jander, A. Desyatnikov, M. Belic, C. Denz, and F. Kaiser, Phys. Rev. E 68, 066611 (2003).
[CrossRef]

Kartashov, Y. V.

Kevrekidis, P. G.

X. Wang, Z. Chen, and P. G. Kevrekidis, Phys. Rev. Lett. 96, 083904 (2006).
[CrossRef] [PubMed]

Kivshar, Y.

H. Trompeter, W. Krolikowski, D. Neshev, A. Desyatnikov, A. Sukhorukov, Y. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, Phys. Rev. Lett. 96, 053903 (2006).
[CrossRef] [PubMed]

Kivshar, Y. S.

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef] [PubMed]

Y. S. Kivshar and G. P. Agrawal, Optical Solitons: from Fibers to Photonic Crystals (Academic, 2003).

Krolikowski, W.

H. Trompeter, W. Krolikowski, D. Neshev, A. Desyatnikov, A. Sukhorukov, Y. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, Phys. Rev. Lett. 96, 053903 (2006).
[CrossRef] [PubMed]

Larger, L.

L. Larger, J. P. Goedgebuer, and T. Erneux, Phys. Rev. E 69, 036210 (2004).
[CrossRef]

Lederer, F.

H. Trompeter, W. Krolikowski, D. Neshev, A. Desyatnikov, A. Sukhorukov, Y. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, Phys. Rev. Lett. 96, 053903 (2006).
[CrossRef] [PubMed]

H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Bräuer, and U. Peschel, Phys. Rev. Lett. 96, 023901 (2006).
[CrossRef] [PubMed]

D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003).
[CrossRef] [PubMed]

Makasyuk, I.

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef] [PubMed]

J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, Stud. Appl. Math. 113, 389 (2004).
[CrossRef]

Malomed, B. A.

B. B. Baizakov, B. A. Malomed, and M. Salerno, Phys. Rev. E 74, 066615 (2006).
[CrossRef]

Manela, O.

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef] [PubMed]

Martin, H.

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef] [PubMed]

Meade, R. D.

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton U. Press, 1995).

Michaelis, D.

H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Bräuer, and U. Peschel, Phys. Rev. Lett. 96, 023901 (2006).
[CrossRef] [PubMed]

Morandotti, R.

H. Eisenberg, Y. Silberberg, R. Morandotti, A. Boyd, and J. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[CrossRef]

Motzek, K.

K. Motzek, Ph. Jander, A. Desyatnikov, M. Belic, C. Denz, and F. Kaiser, Phys. Rev. E 68, 066611 (2003).
[CrossRef]

Neshev, D.

H. Trompeter, W. Krolikowski, D. Neshev, A. Desyatnikov, A. Sukhorukov, Y. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, Phys. Rev. Lett. 96, 053903 (2006).
[CrossRef] [PubMed]

Neshev, D. N.

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef] [PubMed]

Ostrovskaya, E. A.

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef] [PubMed]

Pertsch, T.

H. Trompeter, W. Krolikowski, D. Neshev, A. Desyatnikov, A. Sukhorukov, Y. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, Phys. Rev. Lett. 96, 053903 (2006).
[CrossRef] [PubMed]

H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Bräuer, and U. Peschel, Phys. Rev. Lett. 96, 023901 (2006).
[CrossRef] [PubMed]

Peschel, U.

H. Trompeter, W. Krolikowski, D. Neshev, A. Desyatnikov, A. Sukhorukov, Y. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, Phys. Rev. Lett. 96, 053903 (2006).
[CrossRef] [PubMed]

H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Bräuer, and U. Peschel, Phys. Rev. Lett. 96, 023901 (2006).
[CrossRef] [PubMed]

Petrovic, M.

Petrovic, M. S.

Petviashvili, V. I.

V. I. Petviashvili, Plasma Phys. 2, 469 (1976).

Prvanovic, S.

Salerno, M.

B. B. Baizakov, B. A. Malomed, and M. Salerno, Phys. Rev. E 74, 066615 (2006).
[CrossRef]

Sears, S.

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, Phys. Rev. E 66, 046602 (2002).
[CrossRef]

Segev, M.

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef] [PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, Nature 422, 147 (2003).
[CrossRef] [PubMed]

J. Fleischer, T. Carmon, M. Segev, N. Efremidis, and D. Christodoulides, Phys. Rev. Lett. 90, 023902 (2003).
[CrossRef] [PubMed]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, Phys. Rev. E 66, 046602 (2002).
[CrossRef]

Silberberg, Y.

D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003).
[CrossRef] [PubMed]

H. Eisenberg, Y. Silberberg, R. Morandotti, A. Boyd, and J. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[CrossRef]

Streppel, U.

H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Bräuer, and U. Peschel, Phys. Rev. Lett. 96, 023901 (2006).
[CrossRef] [PubMed]

Sukhorukov, A.

H. Trompeter, W. Krolikowski, D. Neshev, A. Desyatnikov, A. Sukhorukov, Y. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, Phys. Rev. Lett. 96, 053903 (2006).
[CrossRef] [PubMed]

Torner, L.

Trompeter, H.

H. Trompeter, W. Krolikowski, D. Neshev, A. Desyatnikov, A. Sukhorukov, Y. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, Phys. Rev. Lett. 96, 053903 (2006).
[CrossRef] [PubMed]

H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Bräuer, and U. Peschel, Phys. Rev. Lett. 96, 023901 (2006).
[CrossRef] [PubMed]

Vysloukh, V. A.

Wang, X.

X. Wang, Z. Chen, and P. G. Kevrekidis, Phys. Rev. Lett. 96, 083904 (2006).
[CrossRef] [PubMed]

Winn, J. N.

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton U. Press, 1995).

Yang, J.

J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, Stud. Appl. Math. 113, 389 (2004).
[CrossRef]

Nature (2)

D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003).
[CrossRef] [PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, Nature 422, 147 (2003).
[CrossRef] [PubMed]

Opt. Express (2)

Opt. Lett. (2)

Phys. Rev. E (4)

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, Phys. Rev. E 66, 046602 (2002).
[CrossRef]

L. Larger, J. P. Goedgebuer, and T. Erneux, Phys. Rev. E 69, 036210 (2004).
[CrossRef]

K. Motzek, Ph. Jander, A. Desyatnikov, M. Belic, C. Denz, and F. Kaiser, Phys. Rev. E 68, 066611 (2003).
[CrossRef]

B. B. Baizakov, B. A. Malomed, and M. Salerno, Phys. Rev. E 74, 066615 (2006).
[CrossRef]

Phys. Rev. Lett. (7)

J. Fleischer, T. Carmon, M. Segev, N. Efremidis, and D. Christodoulides, Phys. Rev. Lett. 90, 023902 (2003).
[CrossRef] [PubMed]

H. Eisenberg, Y. Silberberg, R. Morandotti, A. Boyd, and J. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[CrossRef]

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef] [PubMed]

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef] [PubMed]

X. Wang, Z. Chen, and P. G. Kevrekidis, Phys. Rev. Lett. 96, 083904 (2006).
[CrossRef] [PubMed]

H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Bräuer, and U. Peschel, Phys. Rev. Lett. 96, 023901 (2006).
[CrossRef] [PubMed]

H. Trompeter, W. Krolikowski, D. Neshev, A. Desyatnikov, A. Sukhorukov, Y. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, Phys. Rev. Lett. 96, 053903 (2006).
[CrossRef] [PubMed]

Plasma Phys. (1)

V. I. Petviashvili, Plasma Phys. 2, 469 (1976).

Stud. Appl. Math. (1)

J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, Stud. Appl. Math. 113, 389 (2004).
[CrossRef]

Other (3)

http://mail.phy.bg.ac.yu/~jovic/GaussRotation/.

Y. S. Kivshar and G. P. Agrawal, Optical Solitons: from Fibers to Photonic Crystals (Academic, 2003).

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton U. Press, 1995).

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Figures (4)

Fig. 1
Fig. 1

The considered periodic PLs. a, Square PL, given by I g = I 0 cos 2 [ π ( x + y ) d ] cos 2 [ π ( x y ) d ] ; lattice spacing d = 35 μ m , maximum lattice intensity I 0 = 20 I d . b, Trigonal PL, formed by positioning Gaussian beams at the sites of the lattice; lattice spacing d = 28 μ m , FWHM of lattice beams 12.7 μ m , maximum lattice intensity I 0 = 20 I d .

Fig. 2
Fig. 2

Gaussian-induced rotation: intensity distribution of backward beam at its exit face of the crystal, presented at different times. For the square PL (first row): Γ = 27.6 , input FWHM of CP Gaussian beams 8.2 μ m , beam power 2.08. For the trigonal PL (second row): Γ = 25 , input FWHM of CP Gaussian beams 11 μ m , beam power 3.80. In both cases the propagation distance is L = 2 L D = 8 mm and F 0 2 = B L 2 = 1 I d . The third row shows isosurface plots of a rotating structure for the trigonal PL at characteristic times.

Fig. 3
Fig. 3

Power diagram of solitonic solutions for the square PL. Various symbols indicate different kinds of solitonic solution, characterized by corresponding profiles. Lattice parameters are as in Fig. 1, and Γ = 27.6 .

Fig. 4
Fig. 4

Power diagram of solitonic solutions for the trigonal PL. Various symbols indicate different kinds of solitonic solution, characterized by corresponding profiles. Lattice parameters are as in Fig. 1, and Γ = 25 .

Equations (4)

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i z F = Δ F + Γ E F , i z B = Δ B + Γ E B ,
τ t E + E = I + I g 1 + I + I g ,
F = u ( x , y ) cos ( θ ) e i μ z , B = u ( x , y ) sin ( θ ) e i μ z ,
μ u + Δ u + Γ u u 2 + I g 1 + u 2 + I g = 0 .

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