Abstract

We investigate total internal reflection of optical spatial solitons at the interface between two regions of nematic liquid crystals with different optical densities. Due to nonlinear molecular reorientation, the solitons experience a penetration depth, hence, a lateral shift that depends on the excitation, with lateral shifts from 0.7 to 1.2mm as input powers increased from 1.6 to 9.3mW.

© 2007 Optical Society of America

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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]
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    [CrossRef]
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2006 (2)

R. Jäger, S. P. Gorza, C. Cambournac, M. Haelterman, and M. Chauvet, Appl. Phys. Lett. 88, 061117 (2006).
[CrossRef]

Y. Kartashov, V. Vysloukh, and L. Torner, Opt. Express 14, 1576 (2006).
[CrossRef] [PubMed]

2005 (2)

2004 (3)

F. Baronio, C. De Angelis, P. H. Pioger, V. Couderc, and A. Barthélémy, Opt. Lett. 29, 986 (2004).
[CrossRef] [PubMed]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 92, 113902 (2004).
[CrossRef] [PubMed]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Nature (London) 432, 733 (2004).
[CrossRef]

2003 (3)

G. Assanto, M. Peccianti, and C. Conti, Opt. Photonics News 14, 44 (2003).
[CrossRef]

G. Assanto and M. Peccianti, IEEE J. Quantum Electron. 39, 13 (2003).
[CrossRef]

L. Jankovic, H. Kim, G. Stegeman, S. Carrasco, L. Torner, and M. Katz, Opt. Lett. 28, 2103 (2003).
[CrossRef] [PubMed]

2002 (1)

O. Bang, W. Krolikowski, W. Wyller, and J. J. Rasmussen, Phys. Rev. E 66, 046619 (2002).
[CrossRef]

2001 (1)

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

1999 (1)

G. I. Stegeman and M. Segev, Science 286, 1518 (1999).
[CrossRef] [PubMed]

1998 (1)

1995 (1)

O. Emile, T. Galstyan, A. Le Floch, and F. Bretenaker, Phys. Rev. Lett. 75, 1511 (1995).
[CrossRef] [PubMed]

1988 (1)

1971 (1)

Aceves, A. B.

Aitchison, J. S.

Alberucci, A.

Alvarado-Mendez, E.

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

Andrade-Lucio, J. A.

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

Assanto, G.

A. Alberucci, M. Peccianti, G. Assanto, A. De Luca, and C. Umeton, Opt. Lett. 30, 1381 (2005).
[CrossRef] [PubMed]

M. Peccianti, C. Conti, and G. Assanto, Opt. Lett. 30, 415 (2005).
[CrossRef] [PubMed]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Nature (London) 432, 733 (2004).
[CrossRef]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 92, 113902 (2004).
[CrossRef] [PubMed]

G. Assanto and M. Peccianti, IEEE J. Quantum Electron. 39, 13 (2003).
[CrossRef]

G. Assanto, M. Peccianti, and C. Conti, Opt. Photonics News 14, 44 (2003).
[CrossRef]

Avina-Cervantes, J. G.

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

Bang, O.

O. Bang, W. Krolikowski, W. Wyller, and J. J. Rasmussen, Phys. Rev. E 66, 046619 (2002).
[CrossRef]

Baronio, F.

Barthélémy, A.

Bertoni, H. L.

Bretenaker, F.

O. Emile, T. Galstyan, A. Le Floch, and F. Bretenaker, Phys. Rev. Lett. 75, 1511 (1995).
[CrossRef] [PubMed]

Cambournac, C.

R. Jäger, S. P. Gorza, C. Cambournac, M. Haelterman, and M. Chauvet, Appl. Phys. Lett. 88, 061117 (2006).
[CrossRef]

Carrasco, S.

Chauvet, M.

R. Jäger, S. P. Gorza, C. Cambournac, M. Haelterman, and M. Chauvet, Appl. Phys. Lett. 88, 061117 (2006).
[CrossRef]

Conti, C.

M. Peccianti, C. Conti, and G. Assanto, Opt. Lett. 30, 415 (2005).
[CrossRef] [PubMed]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Nature (London) 432, 733 (2004).
[CrossRef]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 92, 113902 (2004).
[CrossRef] [PubMed]

G. Assanto, M. Peccianti, and C. Conti, Opt. Photonics News 14, 44 (2003).
[CrossRef]

Couderc, V.

De Angelis, C.

De Gennes, P. G.

P. G. De Gennes and J. Prost, The Physics of Liquid Crystals (Oxford U. Press, 1993).

De Luca, A.

A. Alberucci, M. Peccianti, G. Assanto, A. De Luca, and C. Umeton, Opt. Lett. 30, 1381 (2005).
[CrossRef] [PubMed]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Nature (London) 432, 733 (2004).
[CrossRef]

Emile, O.

O. Emile, T. Galstyan, A. Le Floch, and F. Bretenaker, Phys. Rev. Lett. 75, 1511 (1995).
[CrossRef] [PubMed]

Friedrich, L.

Galstyan, T.

O. Emile, T. Galstyan, A. Le Floch, and F. Bretenaker, Phys. Rev. Lett. 75, 1511 (1995).
[CrossRef] [PubMed]

Gorza, S. P.

R. Jäger, S. P. Gorza, C. Cambournac, M. Haelterman, and M. Chauvet, Appl. Phys. Lett. 88, 061117 (2006).
[CrossRef]

Haelterman, M.

R. Jäger, S. P. Gorza, C. Cambournac, M. Haelterman, and M. Chauvet, Appl. Phys. Lett. 88, 061117 (2006).
[CrossRef]

Hamilton, C. J.

Jäger, R.

R. Jäger, S. P. Gorza, C. Cambournac, M. Haelterman, and M. Chauvet, Appl. Phys. Lett. 88, 061117 (2006).
[CrossRef]

Jankovic, L.

Kartashov, Y.

Katz, M.

Kim, H.

Krolikowski, W.

O. Bang, W. Krolikowski, W. Wyller, and J. J. Rasmussen, Phys. Rev. E 66, 046619 (2002).
[CrossRef]

Kuzin, E. A.

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

Le Floch, A.

O. Emile, T. Galstyan, A. Le Floch, and F. Bretenaker, Phys. Rev. Lett. 75, 1511 (1995).
[CrossRef] [PubMed]

Millar, P.

Moloney, J. V.

Newell, A. C.

Peccianti, M.

A. Alberucci, M. Peccianti, G. Assanto, A. De Luca, and C. Umeton, Opt. Lett. 30, 1381 (2005).
[CrossRef] [PubMed]

M. Peccianti, C. Conti, and G. Assanto, Opt. Lett. 30, 415 (2005).
[CrossRef] [PubMed]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Nature (London) 432, 733 (2004).
[CrossRef]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 92, 113902 (2004).
[CrossRef] [PubMed]

G. Assanto and M. Peccianti, IEEE J. Quantum Electron. 39, 13 (2003).
[CrossRef]

G. Assanto, M. Peccianti, and C. Conti, Opt. Photonics News 14, 44 (2003).
[CrossRef]

Pedraza-Ortega, J. C.

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

Pioger, P. H.

Prost, J.

P. G. De Gennes and J. Prost, The Physics of Liquid Crystals (Oxford U. Press, 1993).

Rasmussen, J. J.

O. Bang, W. Krolikowski, W. Wyller, and J. J. Rasmussen, Phys. Rev. E 66, 046619 (2002).
[CrossRef]

Rojas-Laguna, R.

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

Sanchez-Mondragon, J. J.

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

Segev, M.

G. I. Stegeman and M. Segev, Science 286, 1518 (1999).
[CrossRef] [PubMed]

Stegeman, G.

Stegeman, G. I.

Tamir, T.

Torner, L.

Torres-Cisneros, M.

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

Umeton, C.

A. Alberucci, M. Peccianti, G. Assanto, A. De Luca, and C. Umeton, Opt. Lett. 30, 1381 (2005).
[CrossRef] [PubMed]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Nature (London) 432, 733 (2004).
[CrossRef]

Vysloukh, V.

Y. Kartashov, V. Vysloukh, and L. Torner, Opt. Express 14, 1576 (2006).
[CrossRef] [PubMed]

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

Wyller, W.

O. Bang, W. Krolikowski, W. Wyller, and J. J. Rasmussen, Phys. Rev. E 66, 046619 (2002).
[CrossRef]

Appl. Phys. Lett. (1)

R. Jäger, S. P. Gorza, C. Cambournac, M. Haelterman, and M. Chauvet, Appl. Phys. Lett. 88, 061117 (2006).
[CrossRef]

IEEE J. Quantum Electron. (1)

G. Assanto and M. Peccianti, IEEE J. Quantum Electron. 39, 13 (2003).
[CrossRef]

J. Opt. Soc. Am. (1)

Nature (London) (1)

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Nature (London) 432, 733 (2004).
[CrossRef]

Opt. Commun. (1)

E. Alvarado-Mendez, R. Rojas-Laguna, J. G. Avina-Cervantes, M. Torres-Cisneros, J. A. Andrade-Lucio, J. C. Pedraza-Ortega, E. A. Kuzin, J. J. Sanchez-Mondragon, and V. Vysloukh, Opt. Commun. 193, 267 (2001).
[CrossRef]

Opt. Express (1)

Opt. Lett. (6)

Opt. Photonics News (1)

G. Assanto, M. Peccianti, and C. Conti, Opt. Photonics News 14, 44 (2003).
[CrossRef]

Phys. Rev. E (1)

O. Bang, W. Krolikowski, W. Wyller, and J. J. Rasmussen, Phys. Rev. E 66, 046619 (2002).
[CrossRef]

Phys. Rev. Lett. (2)

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 92, 113902 (2004).
[CrossRef] [PubMed]

O. Emile, T. Galstyan, A. Le Floch, and F. Bretenaker, Phys. Rev. Lett. 75, 1511 (1995).
[CrossRef] [PubMed]

Science (1)

G. I. Stegeman and M. Segev, Science 286, 1518 (1999).
[CrossRef] [PubMed]

Other (2)

S.Trillo and W.E.Torruellas, eds., Spatial Solitons (Springer, 2001).

P. G. De Gennes and J. Prost, The Physics of Liquid Crystals (Oxford U. Press, 1993).

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Figures (5)

Fig. 1
Fig. 1

(a) Sketch of the LC sample. On the top slide two electrodes are separated by a straight gap along p. Different voltages V 1 and V 2 applied to regions 1 and 2 induce an index mismatch for e-polarized waves. (b) A nematicon striking the interface from region 1 at angle θ 1 emerges in region 2 at an angle θ 2 θ 1 , unless total internal reflection takes place (dashed wave vector in region 1).

Fig. 2
Fig. 2

Distribution of linear index n 0 + n bias (black line) and Kerr coefficient n 2 (gray line) versus t across the interface separating the two regions in the 2D equivalent of our sample.

Fig. 3
Fig. 3

Numerical propagation of a 1D spatial soliton striking the interface with linear index and nonlinearity as in Fig. 2 and w N L = 5 μ m , with incidence angle θ 1 = 80 ° and electric field peak amplitudes (a) A 0 = 1.5 × 10 3 V m and (b) A 0 = 4.5 × 10 3 V m . (c) The soliton penetrates deeper in region 2 as A 0 increases from 1.5 to 4.5 × 10 3 V m (curves from top to bottom).

Fig. 4
Fig. 4

Nonlinear shift upon total internal reflection: photos of filament trajectories for various input powers, i.e., P = 1.6 (a), 1.8 (b), 2.7 (c), 4.4 (d), 6.4 (e), and 9.3 mW (f). The horizontal dashed line ( t = 0 ) corresponds to the gap line p.

Fig. 5
Fig. 5

(a) Transverse profile (lines from right to left) and (b) position of the self-confined beam along t at p = 1.6 mm for excitations ranging from 0.05 (linear regime) to 9.3 mW .

Equations (2)

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n = n 0 + n bias ( t ) + n 2 ( t ) ψ ( t , p ) 2 Γ ( t τ ) d τ ,
2 i k ψ p + 2 ψ t 2 + k 0 2 ( n 2 n 0 2 ) ψ = 0 ,

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