Abstract

We report on the existence of surface dark screening solitons at the interface between a dielectric medium (air) and a self-defocusing nonlinear material, taking advantage of photorefractive diffusion and drift nonlinearities. It is very interesting that a surface dark soliton is just like half of a dark soliton in bulk, but not a whole dark soliton propagating along surface. The excitation, propagation, and stability of this type of soliton are studied by using the beam-propagation method. Another interesting thing is that this type of dark soliton can be excited by a planar light beam without a necessary dark notch.

© 2011 Optical Society of America

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    [CrossRef]
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    [CrossRef] [PubMed]
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2010 (3)

2009 (1)

2007 (4)

A. Barak, C. Rotschild, B. Alfassi, M. Segev, and D. N. Christodoulides, Opt. Lett. 32, 2450 (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]

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

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 98, 213901 (2007).
[CrossRef] [PubMed]

2006 (1)

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

2005 (1)

1999 (1)

I. Smolyaninov, C. H. Lee, and C. C. Davis, Phys. Rev. Lett. 83, 2429 (1999).
[CrossRef]

1996 (1)

1995 (2)

M. Cronin-Golomb, Opt. Lett. 20, 2075 (1995).
[CrossRef] [PubMed]

G. S. Garcia Quirino, J. J. Sanchez-Mondragon, and S. Stepanov, Phys. Rev. A 51, 1571 (1995).
[CrossRef] [PubMed]

1994 (1)

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

1989 (1)

D. Mihalache, M. Bertolotti, and C. Sibilia, Prog. Opt. 27, 227 (1989).
[CrossRef]

1988 (1)

Aceves, A.

Alfassi, B.

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 98, 213901 (2007).
[CrossRef] [PubMed]

A. Barak, C. Rotschild, B. Alfassi, M. Segev, and D. N. Christodoulides, Opt. Lett. 32, 2450 (2007).
[CrossRef] [PubMed]

Barak, A.

Bertolotti, M.

D. Mihalache, M. Bertolotti, and C. Sibilia, Prog. Opt. 27, 227 (1989).
[CrossRef]

Bezryadina, A.

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

Carretero-Gonzalez, R.

M. J. Ma, R. Carretero-Gonźalez, P. G. Kevrekidis, D. J. Frantzeskakis, and B. A. Malomed, Phys. Rev. A 82, 023621(2010).
[CrossRef]

Chauvet, M.

Chen, Z. G.

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

Z. G. Chen, M. Mitchell, M. F. Shih, and M. Segev, Opt. Lett. 21, 629 (1996).
[CrossRef] [PubMed]

Christodoulides, D. N.

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

A. Barak, C. Rotschild, B. Alfassi, M. Segev, and D. N. Christodoulides, Opt. Lett. 32, 2450 (2007).
[CrossRef] [PubMed]

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 98, 213901 (2007).
[CrossRef] [PubMed]

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

Cronin-Golomb, M.

Crosignani, B.

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

Davis, C. C.

I. Smolyaninov, C. H. Lee, and C. C. Davis, Phys. Rev. Lett. 83, 2429 (1999).
[CrossRef]

Devaux, F.

DiPorto, P.

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

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]

Fazio, E.

Frantzeskakis, D. J.

M. J. Ma, R. Carretero-Gonźalez, P. G. Kevrekidis, D. J. Frantzeskakis, and B. A. Malomed, Phys. Rev. A 82, 023621(2010).
[CrossRef]

Garcia Quirino, G. S.

G. S. Garcia Quirino, J. J. Sanchez-Mondragon, and S. Stepanov, Phys. Rev. A 51, 1571 (1995).
[CrossRef] [PubMed]

Hache, A.

Heatley, D. R.

Kang, H. Z.

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, and L. Torner, Phys. Rev. Lett. 96, 073901 (2006).
[CrossRef] [PubMed]

Kevrekidis, P. G.

M. J. Ma, R. Carretero-Gonźalez, P. G. Kevrekidis, D. J. Frantzeskakis, and B. A. Malomed, Phys. Rev. A 82, 023621(2010).
[CrossRef]

Lee, C. H.

I. Smolyaninov, C. H. Lee, and C. C. Davis, Phys. Rev. Lett. 83, 2429 (1999).
[CrossRef]

Liu, S. M.

Lou, C. B.

Ma, H. H.

Ma, M. J.

M. J. Ma, R. Carretero-Gonźalez, P. G. Kevrekidis, D. J. Frantzeskakis, and B. A. Malomed, Phys. Rev. A 82, 023621(2010).
[CrossRef]

Makris, K. G.

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

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

Malomed, B. A.

M. J. Ma, R. Carretero-Gonźalez, P. G. Kevrekidis, D. J. Frantzeskakis, and B. A. Malomed, Phys. Rev. A 82, 023621(2010).
[CrossRef]

Manela, O.

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 98, 213901 (2007).
[CrossRef] [PubMed]

Mihalache, D.

D. Mihalache, M. Bertolotti, and C. Sibilia, Prog. Opt. 27, 227 (1989).
[CrossRef]

Mitchell, M.

Moloney, J. V.

Nolte, S.

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

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]

Rotschild, C.

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 98, 213901 (2007).
[CrossRef] [PubMed]

A. Barak, C. Rotschild, B. Alfassi, M. Segev, and D. N. Christodoulides, Opt. Lett. 32, 2450 (2007).
[CrossRef] [PubMed]

Safioui, J.

Sanchez-Mondragon, J. J.

G. S. Garcia Quirino, J. J. Sanchez-Mondragon, and S. Stepanov, Phys. Rev. A 51, 1571 (1995).
[CrossRef] [PubMed]

Segev, M.

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 98, 213901 (2007).
[CrossRef] [PubMed]

A. Barak, C. Rotschild, B. Alfassi, M. Segev, and D. N. Christodoulides, Opt. Lett. 32, 2450 (2007).
[CrossRef] [PubMed]

Z. G. Chen, M. Mitchell, M. F. Shih, and M. Segev, Opt. Lett. 21, 629 (1996).
[CrossRef] [PubMed]

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

Shih, M. F.

Sibilia, C.

D. Mihalache, M. Bertolotti, and C. Sibilia, Prog. Opt. 27, 227 (1989).
[CrossRef]

Smolyaninov, I.

I. Smolyaninov, C. H. Lee, and C. C. Davis, Phys. Rev. Lett. 83, 2429 (1999).
[CrossRef]

Stegeman, G. I.

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

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

Stepanov, S.

G. S. Garcia Quirino, J. J. Sanchez-Mondragon, and S. Stepanov, Phys. Rev. A 51, 1571 (1995).
[CrossRef] [PubMed]

Suntsov, S.

Szameit, A.

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

Tian, J. G.

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, and L. Torner, Phys. Rev. Lett. 96, 073901 (2006).
[CrossRef] [PubMed]

Tünnermann, A.

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

Valley, G. C.

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

Varatharajah, P.

Vysloukh, V. A.

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

Wang, B. H.

Wang, X. S.

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

Wright, E. M.

Xu, J. J.

Yariv, A.

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

Zhang, T. H.

Zhu, B. G.

Opt. Lett. (8)

Phys. Rev. A (2)

G. S. Garcia Quirino, J. J. Sanchez-Mondragon, and S. Stepanov, Phys. Rev. A 51, 1571 (1995).
[CrossRef] [PubMed]

M. J. Ma, R. Carretero-Gonźalez, P. G. Kevrekidis, D. J. Frantzeskakis, and B. A. Malomed, Phys. Rev. A 82, 023621(2010).
[CrossRef]

Phys. Rev. Lett. (6)

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

I. Smolyaninov, C. H. Lee, and C. C. Davis, Phys. Rev. Lett. 83, 2429 (1999).
[CrossRef]

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

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

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 98, 213901 (2007).
[CrossRef] [PubMed]

Prog. Opt. (1)

D. Mihalache, M. Bertolotti, and C. Sibilia, Prog. Opt. 27, 227 (1989).
[CrossRef]

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Figures (2)

Fig. 1
Fig. 1

Stationary surface dark screening soliton solutions, stabilities, and their intensity FWHM dependence on I max / ( I d + I b ) . (a), (b), and (c) Profiles of ( 1 + 1 ) D surface dark screening solitons with β = 2.6845628 × 10 7 m 1 , 2.6837245 × 10 7 m 1 , and 2.6835382 × 10 7 m 1 , respectively; (d) intensity FWHM of stationary surface dark screening solitons versus I max / ( I d + I b ) ; (e) simulated propagation of stationary surface dark screening soliton solution corresponding to (b) with 10% noise; (f) the input (red dashed curve) and output (black solid curve) light fields corresponding to (e); (h) profiles of ( 2 + 1 ) D stationary surface dark screening solitons; (g) and (i) projections of ( 2 + 1 ) D stationary surface dark screening soliton on the x and y directions, respectively.

Fig. 2
Fig. 2

Excitation and evolution of a surface dark screening soliton for different launch points. (a1)–(i1) Launch points of a dark notch in bulk, at x = 24 μm , x = 12 μm , x = 7.95 μm , x = 6.4 μm , x = 5.0 μm , x = 0 μm , x = 2.4 μm , and x 0 μm , respectively. (a2)–(i2) Profiles of the input (red dashed curves) and output (black solid curves) light fields corresponding to (a1)–(i1).

Equations (4)

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2 E ( x , y , z ) + k 2 E ( x , y , z ) = 0 .
E SC ( x , y ) = k B T e ln [ I ( x , y ) + I d + I b ] + E 0 ( I d + I b + I ) I ( x , y ) + I d + I b ,
2 x 2 A ( x ) 2 k 0 2 r eff n 4 k B T e A 2 ( x ) A 2 ( x ) + 1 A ( x ) x k 0 2 r eff n 4 E 0 ( 1 + I ) A 2 ( x ) + 1 A ( x ) + ( k 0 2 n 2 β 2 ) A ( x ) = 0 , ( x > 0 )
2 x 2 A ( x ) + ( k 0 2 n 0 2 β 2 ) A ( x ) = 0 ( x < 0 ) .

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