Abstract

We demonstrate a ring-shaped Bessel-like photonic lattice akin to a photonic bandgap fiber with a low-index core. While the ring lattice is optically induced in a bulk crystal with a self-defocusing nonlinearity, guidance of a probe beam propagating linearly through the core is clearly observed. The possible mechanism for such guidance is also discussed.

© 2006 Optical Society of America

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References

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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).
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]

2006 (1)

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

2005 (4)

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. Lett. 94, 043902 (2005).
[CrossRef] [PubMed]

I. Makasyuk, Z. Chen, and J. Yang, in Nonlinear Guided Waves and Their Applications (Optical Society of America, 2005), paper TuC8.

A. Argyros, T. A. Birks, S. G. Leon-Saval, C. B. Cordeiro, F. Luan, and P. Russell, Opt. Express 13, 309 (2005).
[CrossRef] [PubMed]

F. Fedele, J. Yang, and Z. Chen, Opt. Lett. 30, 1506 (2005).
[CrossRef] [PubMed]

2004 (5)

Z. Chen, I. Makasyuk, A. Bezryadina, and J. Yang, Opt. Lett. 29, 1656 (2004).
[CrossRef] [PubMed]

F. Luan, A. K. George, T. D. Hedley, G. J. Pearce, D. M. Bird, J. C. Knight, and P. Russell, Opt. Lett. 29, 2369 (2004).
[CrossRef] [PubMed]

A. A. Sukhorukov, D. Neshev, W. Krolikowski, and Y. S. Kivshar, Phys. Rev. Lett. 92, 093901 (2004).
[CrossRef] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. Lett. 93, 093904 (2004).
[CrossRef] [PubMed]

H. Martin, E. D. Eugenieva, Z. Chen, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123902 (2004).
[CrossRef] [PubMed]

2003 (5)

D. Neshev, E. Ostrovskaya, Y. Kivshar, and W. Krolikowski, Opt. Lett. 28, 710 (2003).
[CrossRef] [PubMed]

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

P. Russell, Science 299, 358 (2003).
[CrossRef] [PubMed]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 90, 53902 (2003).
[CrossRef]

N. K. Efremidis, J. Hudock, D. N. Christodoulides, J. W. Fleischer, O. Cohen, and M. Segev, Phys. Rev. Lett. 91, 213906 (2003).
[CrossRef] [PubMed]

2002 (3)

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)

1986 (1)

P. Russell, Appl. Phys. B 39, 231 (1986).
[CrossRef]

1977 (1)

Abeeluck, A. K.

Aitchison, J. S.

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 90, 53902 (2003).
[CrossRef]

Argyros, A.

Bezryadina, A.

Bird, D. M.

Birks, T. A.

Chen, Z.

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

I. Makasyuk, Z. Chen, and J. Yang, in Nonlinear Guided Waves and Their Applications (Optical Society of America, 2005), paper TuC8.

F. Fedele, J. Yang, and Z. Chen, Opt. Lett. 30, 1506 (2005).
[CrossRef] [PubMed]

Z. Chen, I. Makasyuk, A. Bezryadina, and J. Yang, Opt. Lett. 29, 1656 (2004).
[CrossRef] [PubMed]

H. Martin, E. D. Eugenieva, Z. Chen, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123902 (2004).
[CrossRef] [PubMed]

Z. Chen and K. McCarthy, Opt. Lett. 27, 2019 (2002).
[CrossRef]

Christodoulides, D.

Christodoulides, D. N.

H. Martin, E. D. Eugenieva, Z. Chen, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123902 (2004).
[CrossRef] [PubMed]

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

N. K. Efremidis, J. Hudock, D. N. Christodoulides, J. W. Fleischer, O. Cohen, and M. Segev, Phys. Rev. Lett. 91, 213906 (2003).
[CrossRef] [PubMed]

Cohen, O.

N. K. Efremidis, J. Hudock, D. N. Christodoulides, J. W. Fleischer, O. Cohen, and M. Segev, Phys. Rev. Lett. 91, 213906 (2003).
[CrossRef] [PubMed]

Cordeiro, C. B.

Efremidis, N. K.

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

N. K. Efremidis, J. Hudock, D. N. Christodoulides, J. W. Fleischer, O. Cohen, and M. Segev, Phys. Rev. Lett. 91, 213906 (2003).
[CrossRef] [PubMed]

Eggleton, B. J.

Eisenberg, H. S.

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 90, 53902 (2003).
[CrossRef]

Eugenieva, E. D.

H. Martin, E. D. Eugenieva, Z. Chen, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123902 (2004).
[CrossRef] [PubMed]

Fedele, F.

Fink, Y.

S. D. Hart, G. R. Maskaly, B. Temelkuran, P. H. Prideaux, J. D. Joannopoulos, and Y. Fink, Science 296, 510 (2002).
[CrossRef] [PubMed]

Fleischer, J. W.

N. K. Efremidis, J. Hudock, D. N. Christodoulides, J. W. Fleischer, O. Cohen, and M. Segev, Phys. Rev. Lett. 91, 213906 (2003).
[CrossRef] [PubMed]

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

George, A. K.

Hart, S. D.

S. D. Hart, G. R. Maskaly, B. Temelkuran, P. H. Prideaux, J. D. Joannopoulos, and Y. Fink, Science 296, 510 (2002).
[CrossRef] [PubMed]

Headley, C.

Hedley, T. D.

Hong, C. S.

Hudock, J.

N. K. Efremidis, J. Hudock, D. N. Christodoulides, J. W. Fleischer, O. Cohen, and M. Segev, Phys. Rev. Lett. 91, 213906 (2003).
[CrossRef] [PubMed]

Joannopoulos, J. D.

S. D. Hart, G. R. Maskaly, B. Temelkuran, P. H. Prideaux, J. D. Joannopoulos, and Y. Fink, Science 296, 510 (2002).
[CrossRef] [PubMed]

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

Joseph, R.

Kartashov, Y. V.

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. Lett. 94, 043902 (2005).
[CrossRef] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. Lett. 93, 093904 (2004).
[CrossRef] [PubMed]

Kevrekidis, P. G.

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

Kivshar, Y.

Kivshar, Y. S.

A. A. Sukhorukov, D. Neshev, W. Krolikowski, and Y. S. Kivshar, Phys. Rev. Lett. 92, 093901 (2004).
[CrossRef] [PubMed]

Knight, J. C.

Krolikowski, W.

A. A. Sukhorukov, D. Neshev, W. Krolikowski, and Y. S. Kivshar, Phys. Rev. Lett. 92, 093901 (2004).
[CrossRef] [PubMed]

D. Neshev, E. Ostrovskaya, Y. Kivshar, and W. Krolikowski, Opt. Lett. 28, 710 (2003).
[CrossRef] [PubMed]

Leon-Saval, S. G.

Litchinitser, N. M.

Luan, F.

Makasyuk, I.

I. Makasyuk, Z. Chen, and J. Yang, in Nonlinear Guided Waves and Their Applications (Optical Society of America, 2005), paper TuC8.

Z. Chen, I. Makasyuk, A. Bezryadina, and J. Yang, Opt. Lett. 29, 1656 (2004).
[CrossRef] [PubMed]

Mandelik, D.

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 90, 53902 (2003).
[CrossRef]

Martin, H.

H. Martin, E. D. Eugenieva, Z. Chen, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123902 (2004).
[CrossRef] [PubMed]

Maskaly, G. R.

S. D. Hart, G. R. Maskaly, B. Temelkuran, P. H. Prideaux, J. D. Joannopoulos, and Y. Fink, Science 296, 510 (2002).
[CrossRef] [PubMed]

McCarthy, K.

Meade, R. D.

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

Morandotti, R.

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 90, 53902 (2003).
[CrossRef]

Neshev, D.

A. A. Sukhorukov, D. Neshev, W. Krolikowski, and Y. S. Kivshar, Phys. Rev. Lett. 92, 093901 (2004).
[CrossRef] [PubMed]

D. Neshev, E. Ostrovskaya, Y. Kivshar, and W. Krolikowski, Opt. Lett. 28, 710 (2003).
[CrossRef] [PubMed]

Ostrovskaya, E.

Pearce, G. J.

Prideaux, P. H.

S. D. Hart, G. R. Maskaly, B. Temelkuran, P. H. Prideaux, J. D. Joannopoulos, and Y. Fink, Science 296, 510 (2002).
[CrossRef] [PubMed]

Russell, P.

Segev, M.

N. K. Efremidis, J. Hudock, D. N. Christodoulides, J. W. Fleischer, O. Cohen, and M. Segev, Phys. Rev. Lett. 91, 213906 (2003).
[CrossRef] [PubMed]

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

Silberberg, Y.

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 90, 53902 (2003).
[CrossRef]

Sukhorukov, A. A.

A. A. Sukhorukov, D. Neshev, W. Krolikowski, and Y. S. Kivshar, Phys. Rev. Lett. 92, 093901 (2004).
[CrossRef] [PubMed]

Temelkuran, B.

S. D. Hart, G. R. Maskaly, B. Temelkuran, P. H. Prideaux, J. D. Joannopoulos, and Y. Fink, Science 296, 510 (2002).
[CrossRef] [PubMed]

Torner, L.

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. Lett. 94, 043902 (2005).
[CrossRef] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. Lett. 93, 093904 (2004).
[CrossRef] [PubMed]

Vysloukh, V. A.

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. Lett. 94, 043902 (2005).
[CrossRef] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. Lett. 93, 093904 (2004).
[CrossRef] [PubMed]

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.

I. Makasyuk, Z. Chen, and J. Yang, in Nonlinear Guided Waves and Their Applications (Optical Society of America, 2005), paper TuC8.

F. Fedele, J. Yang, and Z. Chen, Opt. Lett. 30, 1506 (2005).
[CrossRef] [PubMed]

Z. Chen, I. Makasyuk, A. Bezryadina, and J. Yang, Opt. Lett. 29, 1656 (2004).
[CrossRef] [PubMed]

Yariv, A.

Yeh, P.

Appl. Phys. B (1)

P. Russell, Appl. Phys. B 39, 231 (1986).
[CrossRef]

J. Opt. Soc. Am. (1)

Nature (1)

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

Opt. Express (1)

Opt. Lett. (7)

Phys. Rev. Lett. (7)

H. Martin, E. D. Eugenieva, Z. Chen, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123902 (2004).
[CrossRef] [PubMed]

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

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. Lett. 93, 093904 (2004).
[CrossRef] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. Lett. 94, 043902 (2005).
[CrossRef] [PubMed]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 90, 53902 (2003).
[CrossRef]

N. K. Efremidis, J. Hudock, D. N. Christodoulides, J. W. Fleischer, O. Cohen, and M. Segev, Phys. Rev. Lett. 91, 213906 (2003).
[CrossRef] [PubMed]

A. A. Sukhorukov, D. Neshev, W. Krolikowski, and Y. S. Kivshar, Phys. Rev. Lett. 92, 093901 (2004).
[CrossRef] [PubMed]

Science (2)

S. D. Hart, G. R. Maskaly, B. Temelkuran, P. H. Prideaux, J. D. Joannopoulos, and Y. Fink, Science 296, 510 (2002).
[CrossRef] [PubMed]

P. Russell, Science 299, 358 (2003).
[CrossRef] [PubMed]

Other (2)

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

I. Makasyuk, Z. Chen, and J. Yang, in Nonlinear Guided Waves and Their Applications (Optical Society of America, 2005), paper TuC8.

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Figures (4)

Fig. 1
Fig. 1

Intensity pattern of a ring lattice at crystal (a) input and (b) output after 10 mm of propagation. (c) A broad incoherent beam probing through the lattice shows a reversed contrast respective to (b). The arrow in (c) marks the center of the lattice (i.e., the low-index core).

Fig. 2
Fig. 2

(a)–(b) Input and linear diffraction output of the probe beam without lattice. (c)–(f) 2D output patterns (top) and 3D intensity plots (bottom) of the probe at a fixed bias field of 1.4 kV cm , while the lattice intensity is increased gradually.

Fig. 3
Fig. 3

Similar to Figs. 2c, 2d, 2e, 2f, except that the results are obtained at a fixed lattice intensity, while the negative bias is increased gradually (0.6, 1.0, 1.4, and 2.0 kV cm ).

Fig. 4
Fig. 4

Ring waveguides and their quasi-localized modes: (a) Bessel-like ring lattice, (b) guided mode in (a), (c) lattice of (a) with outer rings removed, (d) a guided mode in (c). Normalized parameters are E 0 = 15 , I 0 = 750 , and μ = 0.97 ( E 0 = 15 corresponds to 1.4 kV cm ). See color figures online for central peaks.

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