Abstract

We experimentally demonstrate linear bandgap guidance of optical vortices as high-gap defect modes (DMs) in two-dimensional induced photonic lattices. We show that donut-shaped vortex beams can be guided in a tunable negative (lower-index) defect, provided that the defect strength is set at an appropriate level. Such vortex DMs have fine features in the “tails” associated with the lattice anisotropy and can be considered as a superposition of dipole DMs. Our numerical results find good agreement with experimental observations.

© 2010 Optical Society of America

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2009 (3)

2007 (1)

J. Wang, J. Yang, and Z. Chen, Phys. Rev. A 76, 013828(2007).
[CrossRef]

2006 (4)

2005 (7)

P. G. Kevrekidis, D. J. Frantzeskakis, R. Carretero-González, B. A. Malomed, and A. R. Bishop, Phys. Rev. E 72, 046613(2005).
[CrossRef]

N. K. Efremidis and K. Hizanidis, Opt. Express 13, 10571(2005).
[CrossRef] [PubMed]

G. Bartal, O. Manela, O. Cohen, J. W. Fleischer, and M. Segev, Phys. Rev. Lett. 95, 053904 (2005).
[CrossRef] [PubMed]

A. Desyatnikov, D. Neshev, Y. Kivshar, N. Sagemerten, D. Träger, J. Jägers, C. Denz, and Y. Kartashov, Opt. Lett. 30, 869 (2005).
[CrossRef] [PubMed]

G. Bartal, O. Cohen, H. Buljan, J. W. Fleischer, O. Manela, and M. Segev, Phys. Rev. Lett. 94, 163902 (2005).
[CrossRef] [PubMed]

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

F. Fedele, J. Yang, and Z. Chen, Stud. Appl. Math. 115, 279 (2005).
[CrossRef]

2003 (2)

1998 (1)

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

Aitchison, J. S.

Baizakov, B. B.

T. Mayteevarunyooa, B. A. Malomed, B. B. Baizakov, and M. Salerno, Physica D (Amsterdam) 238, 1439 (2009).
[CrossRef]

Bartal, G.

G. Bartal, O. Manela, O. Cohen, J. W. Fleischer, and M. Segev, Phys. Rev. Lett. 95, 053904 (2005).
[CrossRef] [PubMed]

G. Bartal, O. Cohen, H. Buljan, J. W. Fleischer, O. Manela, and M. Segev, Phys. Rev. Lett. 94, 163902 (2005).
[CrossRef] [PubMed]

Bezryadina, A.

Bishop, A. R.

P. G. Kevrekidis, D. J. Frantzeskakis, R. Carretero-González, B. A. Malomed, and A. R. Bishop, Phys. Rev. E 72, 046613(2005).
[CrossRef]

Boyd, A. R.

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

Buljan, H.

G. Bartal, O. Cohen, H. Buljan, J. W. Fleischer, O. Manela, and M. Segev, Phys. Rev. Lett. 94, 163902 (2005).
[CrossRef] [PubMed]

Carretero-González, R.

P. G. Kevrekidis, D. J. Frantzeskakis, R. Carretero-González, B. A. Malomed, and A. R. Bishop, Phys. Rev. E 72, 046613(2005).
[CrossRef]

Chen, Z.

Christodoulides, D. N.

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

Cohen, O.

G. Bartal, O. Cohen, H. Buljan, J. W. Fleischer, O. Manela, and M. Segev, Phys. Rev. Lett. 94, 163902 (2005).
[CrossRef] [PubMed]

G. Bartal, O. Manela, O. Cohen, J. W. Fleischer, and M. Segev, Phys. Rev. Lett. 95, 053904 (2005).
[CrossRef] [PubMed]

Denz, C.

Desyatnikov, A.

Dreisow, F.

Efremidis, N. K.

N. K. Efremidis and K. Hizanidis, Opt. Express 13, 10571(2005).
[CrossRef] [PubMed]

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

Eisenberg, H. S.

Fedele, F.

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

F. Fedele, J. Yang, and Z. Chen, Stud. Appl. Math. 115, 279 (2005).
[CrossRef]

Fleischer, J. W.

G. Bartal, O. Manela, O. Cohen, J. W. Fleischer, and M. Segev, Phys. Rev. Lett. 95, 053904 (2005).
[CrossRef] [PubMed]

G. Bartal, O. Cohen, H. Buljan, J. W. Fleischer, O. Manela, and M. Segev, Phys. Rev. Lett. 94, 163902 (2005).
[CrossRef] [PubMed]

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

Frantzeskakis, D. J.

P. G. Kevrekidis, D. J. Frantzeskakis, R. Carretero-González, B. A. Malomed, and A. R. Bishop, Phys. Rev. E 72, 046613(2005).
[CrossRef]

Heinrich, M.

Hizanidis, K.

Jägers, J.

Kartashov, Y.

Kartashov, Y. V.

Kevrekidis, P. G.

P. G. Kevrekidis, D. J. Frantzeskakis, R. Carretero-González, B. A. Malomed, and A. R. Bishop, Phys. Rev. E 72, 046613(2005).
[CrossRef]

Kivshar, Y.

Lederer, F.

Makasyuk, I.

I. Makasyuk, Z. Chen, and J. Yang, Phys. Rev. Lett. 96, 223903 (2006).
[CrossRef] [PubMed]

Malomed, B. A.

T. Mayteevarunyooa, B. A. Malomed, B. B. Baizakov, and M. Salerno, Physica D (Amsterdam) 238, 1439 (2009).
[CrossRef]

P. G. Kevrekidis, D. J. Frantzeskakis, R. Carretero-González, B. A. Malomed, and A. R. Bishop, Phys. Rev. E 72, 046613(2005).
[CrossRef]

Mandelik, D.

Manela, O.

G. Bartal, O. Manela, O. Cohen, J. W. Fleischer, and M. Segev, Phys. Rev. Lett. 95, 053904 (2005).
[CrossRef] [PubMed]

G. Bartal, O. Cohen, H. Buljan, J. W. Fleischer, O. Manela, and M. Segev, Phys. Rev. Lett. 94, 163902 (2005).
[CrossRef] [PubMed]

Mayteevarunyooa, T.

T. Mayteevarunyooa, B. A. Malomed, B. B. Baizakov, and M. Salerno, Physica D (Amsterdam) 238, 1439 (2009).
[CrossRef]

Modotto, D.

Morandotti, R.

Neshev, D.

Nolte, S.

Pertsch, T.

Sagemerten, N.

Salerno, M.

T. Mayteevarunyooa, B. A. Malomed, B. B. Baizakov, and M. Salerno, Physica D (Amsterdam) 238, 1439 (2009).
[CrossRef]

Segev, M.

G. Bartal, O. Manela, O. Cohen, J. W. Fleischer, and M. Segev, Phys. Rev. Lett. 95, 053904 (2005).
[CrossRef] [PubMed]

G. Bartal, O. Cohen, H. Buljan, J. W. Fleischer, O. Manela, and M. Segev, Phys. Rev. Lett. 94, 163902 (2005).
[CrossRef] [PubMed]

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

Silberberg, Y.

Sorel, M.

Stanley, C. R.

Szameit, A.

Torner, L.

Träger, D.

Tünnermann, A.

Vysloukh, V. A.

Wang, J.

J. Wang, J. Yang, and Z. Chen, Phys. Rev. A 76, 013828(2007).
[CrossRef]

Wang, X.

Weinstein, D.

Yang, J.

Young, J.

Nature (1)

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

Opt. Express (4)

Opt. Lett. (5)

Phys. Rev. A (1)

J. Wang, J. Yang, and Z. Chen, Phys. Rev. A 76, 013828(2007).
[CrossRef]

Phys. Rev. E (1)

P. G. Kevrekidis, D. J. Frantzeskakis, R. Carretero-González, B. A. Malomed, and A. R. Bishop, Phys. Rev. E 72, 046613(2005).
[CrossRef]

Phys. Rev. Lett. (4)

I. Makasyuk, Z. Chen, and J. Yang, Phys. Rev. Lett. 96, 223903 (2006).
[CrossRef] [PubMed]

G. Bartal, O. Cohen, H. Buljan, J. W. Fleischer, O. Manela, and M. Segev, Phys. Rev. Lett. 94, 163902 (2005).
[CrossRef] [PubMed]

G. Bartal, O. Manela, O. Cohen, J. W. Fleischer, and M. Segev, Phys. Rev. Lett. 95, 053904 (2005).
[CrossRef] [PubMed]

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

Physica D (Amsterdam) (1)

T. Mayteevarunyooa, B. A. Malomed, B. B. Baizakov, and M. Salerno, Physica D (Amsterdam) 238, 1439 (2009).
[CrossRef]

Stud. Appl. Math. (1)

F. Fedele, J. Yang, and Z. Chen, Stud. Appl. Math. 115, 279 (2005).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Experimental results of bandgap guidance of a vortex beam in a tunable negative defect. (a) Vortex at input. (b)–(d) Induced lattices with nonzero-intensity defect, no defect, and zero-intensity defect, respectively. (e), (f) Vortex output from the defect in (b) and its zoom-in interferogam. The circles in (f) mark the location of the vortex pairs. (g) Interferogram when the vortex is excited at nondefect site. (h) Vortex diffraction output when lattice is absent.

Fig. 2
Fig. 2

Output of the vortex beam through (a) a half-intensity ( I d / I c = 1 ) defect and (b) a zero-intensity defect at a fixed bias field of 2.6 kV / cm . (c), (d) Output of the vortex beam through the zero-intensity defect when the bias field is decreased to 1.4 kV / cm and increased to 3.2 kV / cm , respectively.

Fig. 3
Fig. 3

Numerical results of the vortex DM: (a) DM solution (top) and its phase structure (bottom); (b), (c) intensity (top) and interferogram (bottom) of output vortex after 1 cm of propagation through lattice with a half-intensity defect; (d) input vortex (top) and its output (bottom) from a zero- intensity defect. The insets in (b)–(d) show the corresponding lattices and DM phase structure. Result (c) is from an anisotropic lattice.

Fig. 4
Fig. 4

Experimental results of linear guidance of a dipole beam in a negative defect: (a) Induced lattice with defects, (b) input dipole beam, (c) guidance of the dipole beam in the central defect, (d) normal diffraction of dipole beam when the lattice is removed after 2 cm linear propagation at a bias field of 1.9 kV / cm .

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