Abstract

We study generation of two-dimensional dispersive shock waves and oblique dark solitons upon interaction of tilted plane waves with negative refractive index defects embedded into defocusing material with linear gain and two-photon absorption. Different evolution regimes are encountered, including the formation of well-localized disturbances for input tilts below critical one, generation of extended shock waves containing multiple intensity oscillations in the “upstream” region, and gradually vanishing oblique dark solitons in the “downstream” region for input tilts exceeding critical one. The generation of stable dispersive shock waves is possible only below certain critical defect strength.

© 2013 Optical Society of America

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    [CrossRef]
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    [CrossRef]

2012 (1)

2011 (2)

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Leménager, R. Houdré, E. Giacobino, C. Ciuti, and A. Bramati, Science 332, 1167 (2011).
[CrossRef]

G. Grosso, G. Nardin, F. Morier-Genoud, Y. Léger, and B. Deveaud-Plédran, Phys. Rev. Lett. 107, 245301 (2011).
[CrossRef]

2009 (1)

A. M. Leszczyszyn, G. A. El, Y. G. Gladush, and A. M. Kamchatnov, Phys. Rev. A 79, 063608 (2009).
[CrossRef]

2008 (2)

E. G. Khamis, A. Gammal, G. A. El, Y. G. Gladush, and A. M. Kamchatnov, Phys. Rev. A 78, 013829 (2008).
[CrossRef]

J. Keeling and N. G. Berloff, Phys. Rev. Lett. 100, 250401 (2008).
[CrossRef]

2007 (3)

P. Engels, and C. Atherton, Phys. Rev. Lett. 99, 160405 (2007).
[CrossRef]

N. Ghofraniha, C. Conti, G. Ruocco, and S. Trillo, Phys. Rev. Lett. 99, 043903 (2007).
[CrossRef]

C. Barsi, W. Wan, C. Sun, and J. W. Fleischer, Opt. Lett. 32, 2930 (2007).
[CrossRef]

2006 (4)

W. Wan, S. Jia, and J. W. Fleischer, Nat. Phys. 3, 46 (2006).
[CrossRef]

M. A. Hoefer, M. J. Ablowitz, I. Coddington, E. A. Cornell, P. Engels, and V. Schweikhardt, Phys. Rev. A 74, 023623 (2006).
[CrossRef]

G. A. El, A. Gammal, and A. M. Kamchatnov, Phys. Rev. Lett. 97, 180405 (2006).
[CrossRef]

I. Carusotto, S. X. Hu, L. A. Collins, and A. Smerzi, Phys. Rev. Lett. 97, 260403 (2006).
[CrossRef]

2004 (1)

A. M. Kamchatnov, A. Gammal, and R. A. Kraenkel, Phys. Rev. A 69, 063604 (2004).
[CrossRef]

1992 (1)

1989 (2)

G. P. Agrawal, P. L. Baldeck, and R. R. Alfano, Opt. Lett. 14, 137 (1989).
[CrossRef]

J. E. Rothenberg and D. Grischkowsky, Phys. Rev. Lett. 62, 531 (1989).
[CrossRef]

1985 (1)

Ablowitz, M. J.

M. A. Hoefer, M. J. Ablowitz, I. Coddington, E. A. Cornell, P. Engels, and V. Schweikhardt, Phys. Rev. A 74, 023623 (2006).
[CrossRef]

Agrawal, G. P.

Alfano, R. R.

Amo, A.

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Leménager, R. Houdré, E. Giacobino, C. Ciuti, and A. Bramati, Science 332, 1167 (2011).
[CrossRef]

Atherton, C.

P. Engels, and C. Atherton, Phys. Rev. Lett. 99, 160405 (2007).
[CrossRef]

Baldeck, P. L.

Barsi, C.

Berloff, N. G.

J. Keeling and N. G. Berloff, Phys. Rev. Lett. 100, 250401 (2008).
[CrossRef]

Bramati, A.

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Leménager, R. Houdré, E. Giacobino, C. Ciuti, and A. Bramati, Science 332, 1167 (2011).
[CrossRef]

Carusotto, I.

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Leménager, R. Houdré, E. Giacobino, C. Ciuti, and A. Bramati, Science 332, 1167 (2011).
[CrossRef]

I. Carusotto, S. X. Hu, L. A. Collins, and A. Smerzi, Phys. Rev. Lett. 97, 260403 (2006).
[CrossRef]

Ciuti, C.

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Leménager, R. Houdré, E. Giacobino, C. Ciuti, and A. Bramati, Science 332, 1167 (2011).
[CrossRef]

Coddington, I.

M. A. Hoefer, M. J. Ablowitz, I. Coddington, E. A. Cornell, P. Engels, and V. Schweikhardt, Phys. Rev. A 74, 023623 (2006).
[CrossRef]

Collins, L. A.

I. Carusotto, S. X. Hu, L. A. Collins, and A. Smerzi, Phys. Rev. Lett. 97, 260403 (2006).
[CrossRef]

Conti, C.

N. Ghofraniha, C. Conti, G. Ruocco, and S. Trillo, Phys. Rev. Lett. 99, 043903 (2007).
[CrossRef]

Cornell, E. A.

M. A. Hoefer, M. J. Ablowitz, I. Coddington, E. A. Cornell, P. Engels, and V. Schweikhardt, Phys. Rev. A 74, 023623 (2006).
[CrossRef]

Deveaud-Plédran, B.

G. Grosso, G. Nardin, F. Morier-Genoud, Y. Léger, and B. Deveaud-Plédran, Phys. Rev. Lett. 107, 245301 (2011).
[CrossRef]

El, G. A.

A. M. Leszczyszyn, G. A. El, Y. G. Gladush, and A. M. Kamchatnov, Phys. Rev. A 79, 063608 (2009).
[CrossRef]

E. G. Khamis, A. Gammal, G. A. El, Y. G. Gladush, and A. M. Kamchatnov, Phys. Rev. A 78, 013829 (2008).
[CrossRef]

G. A. El, A. Gammal, and A. M. Kamchatnov, Phys. Rev. Lett. 97, 180405 (2006).
[CrossRef]

Engels, P.

P. Engels, and C. Atherton, Phys. Rev. Lett. 99, 160405 (2007).
[CrossRef]

M. A. Hoefer, M. J. Ablowitz, I. Coddington, E. A. Cornell, P. Engels, and V. Schweikhardt, Phys. Rev. A 74, 023623 (2006).
[CrossRef]

Fleischer, J. W.

C. Barsi, W. Wan, C. Sun, and J. W. Fleischer, Opt. Lett. 32, 2930 (2007).
[CrossRef]

W. Wan, S. Jia, and J. W. Fleischer, Nat. Phys. 3, 46 (2006).
[CrossRef]

Gammal, A.

E. G. Khamis, A. Gammal, G. A. El, Y. G. Gladush, and A. M. Kamchatnov, Phys. Rev. A 78, 013829 (2008).
[CrossRef]

G. A. El, A. Gammal, and A. M. Kamchatnov, Phys. Rev. Lett. 97, 180405 (2006).
[CrossRef]

A. M. Kamchatnov, A. Gammal, and R. A. Kraenkel, Phys. Rev. A 69, 063604 (2004).
[CrossRef]

Ghofraniha, N.

N. Ghofraniha, C. Conti, G. Ruocco, and S. Trillo, Phys. Rev. Lett. 99, 043903 (2007).
[CrossRef]

Giacobino, E.

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Leménager, R. Houdré, E. Giacobino, C. Ciuti, and A. Bramati, Science 332, 1167 (2011).
[CrossRef]

Gladush, Y. G.

A. M. Leszczyszyn, G. A. El, Y. G. Gladush, and A. M. Kamchatnov, Phys. Rev. A 79, 063608 (2009).
[CrossRef]

E. G. Khamis, A. Gammal, G. A. El, Y. G. Gladush, and A. M. Kamchatnov, Phys. Rev. A 78, 013829 (2008).
[CrossRef]

Grischkowsky, D.

J. E. Rothenberg and D. Grischkowsky, Phys. Rev. Lett. 62, 531 (1989).
[CrossRef]

Grosso, G.

G. Grosso, G. Nardin, F. Morier-Genoud, Y. Léger, and B. Deveaud-Plédran, Phys. Rev. Lett. 107, 245301 (2011).
[CrossRef]

Heinrich, H. K.

Hivet, R.

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Leménager, R. Houdré, E. Giacobino, C. Ciuti, and A. Bramati, Science 332, 1167 (2011).
[CrossRef]

Hoefer, M. A.

M. A. Hoefer, M. J. Ablowitz, I. Coddington, E. A. Cornell, P. Engels, and V. Schweikhardt, Phys. Rev. A 74, 023623 (2006).
[CrossRef]

Houdré, R.

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Leménager, R. Houdré, E. Giacobino, C. Ciuti, and A. Bramati, Science 332, 1167 (2011).
[CrossRef]

Hu, S. X.

I. Carusotto, S. X. Hu, L. A. Collins, and A. Smerzi, Phys. Rev. Lett. 97, 260403 (2006).
[CrossRef]

Jia, S.

W. Wan, S. Jia, and J. W. Fleischer, Nat. Phys. 3, 46 (2006).
[CrossRef]

Johnson, A. M.

Kamchatnov, A. M.

Y. V. Kartashov and A. M. Kamchatnov, Opt. Lett. 37, 389 (2012).
[CrossRef]

A. M. Leszczyszyn, G. A. El, Y. G. Gladush, and A. M. Kamchatnov, Phys. Rev. A 79, 063608 (2009).
[CrossRef]

E. G. Khamis, A. Gammal, G. A. El, Y. G. Gladush, and A. M. Kamchatnov, Phys. Rev. A 78, 013829 (2008).
[CrossRef]

G. A. El, A. Gammal, and A. M. Kamchatnov, Phys. Rev. Lett. 97, 180405 (2006).
[CrossRef]

A. M. Kamchatnov, A. Gammal, and R. A. Kraenkel, Phys. Rev. A 69, 063604 (2004).
[CrossRef]

Kartashov, Y. V.

Keeling, J.

J. Keeling and N. G. Berloff, Phys. Rev. Lett. 100, 250401 (2008).
[CrossRef]

Khamis, E. G.

E. G. Khamis, A. Gammal, G. A. El, Y. G. Gladush, and A. M. Kamchatnov, Phys. Rev. A 78, 013829 (2008).
[CrossRef]

Kraenkel, R. A.

A. M. Kamchatnov, A. Gammal, and R. A. Kraenkel, Phys. Rev. A 69, 063604 (2004).
[CrossRef]

Léger, Y.

G. Grosso, G. Nardin, F. Morier-Genoud, Y. Léger, and B. Deveaud-Plédran, Phys. Rev. Lett. 107, 245301 (2011).
[CrossRef]

Leménager, G.

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Leménager, R. Houdré, E. Giacobino, C. Ciuti, and A. Bramati, Science 332, 1167 (2011).
[CrossRef]

Leszczyszyn, A. M.

A. M. Leszczyszyn, G. A. El, Y. G. Gladush, and A. M. Kamchatnov, Phys. Rev. A 79, 063608 (2009).
[CrossRef]

Morier-Genoud, F.

G. Grosso, G. Nardin, F. Morier-Genoud, Y. Léger, and B. Deveaud-Plédran, Phys. Rev. Lett. 107, 245301 (2011).
[CrossRef]

Nardin, G.

G. Grosso, G. Nardin, F. Morier-Genoud, Y. Léger, and B. Deveaud-Plédran, Phys. Rev. Lett. 107, 245301 (2011).
[CrossRef]

Pigeon, S.

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Leménager, R. Houdré, E. Giacobino, C. Ciuti, and A. Bramati, Science 332, 1167 (2011).
[CrossRef]

Pisanello, F.

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Leménager, R. Houdré, E. Giacobino, C. Ciuti, and A. Bramati, Science 332, 1167 (2011).
[CrossRef]

Rothenberg, J. E.

J. E. Rothenberg and H. K. Heinrich, Opt. Lett. 17, 261 (1992).
[CrossRef]

J. E. Rothenberg and D. Grischkowsky, Phys. Rev. Lett. 62, 531 (1989).
[CrossRef]

Ruocco, G.

N. Ghofraniha, C. Conti, G. Ruocco, and S. Trillo, Phys. Rev. Lett. 99, 043903 (2007).
[CrossRef]

Sala, V. G.

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Leménager, R. Houdré, E. Giacobino, C. Ciuti, and A. Bramati, Science 332, 1167 (2011).
[CrossRef]

Sanvitto, D.

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Leménager, R. Houdré, E. Giacobino, C. Ciuti, and A. Bramati, Science 332, 1167 (2011).
[CrossRef]

Schweikhardt, V.

M. A. Hoefer, M. J. Ablowitz, I. Coddington, E. A. Cornell, P. Engels, and V. Schweikhardt, Phys. Rev. A 74, 023623 (2006).
[CrossRef]

Smerzi, A.

I. Carusotto, S. X. Hu, L. A. Collins, and A. Smerzi, Phys. Rev. Lett. 97, 260403 (2006).
[CrossRef]

Stolen, R. H.

Sun, C.

Tomlinson, W. J.

Trillo, S.

N. Ghofraniha, C. Conti, G. Ruocco, and S. Trillo, Phys. Rev. Lett. 99, 043903 (2007).
[CrossRef]

Wan, W.

C. Barsi, W. Wan, C. Sun, and J. W. Fleischer, Opt. Lett. 32, 2930 (2007).
[CrossRef]

W. Wan, S. Jia, and J. W. Fleischer, Nat. Phys. 3, 46 (2006).
[CrossRef]

Nat. Phys. (1)

W. Wan, S. Jia, and J. W. Fleischer, Nat. Phys. 3, 46 (2006).
[CrossRef]

Opt. Lett. (5)

Phys. Rev. A (4)

A. M. Kamchatnov, A. Gammal, and R. A. Kraenkel, Phys. Rev. A 69, 063604 (2004).
[CrossRef]

M. A. Hoefer, M. J. Ablowitz, I. Coddington, E. A. Cornell, P. Engels, and V. Schweikhardt, Phys. Rev. A 74, 023623 (2006).
[CrossRef]

A. M. Leszczyszyn, G. A. El, Y. G. Gladush, and A. M. Kamchatnov, Phys. Rev. A 79, 063608 (2009).
[CrossRef]

E. G. Khamis, A. Gammal, G. A. El, Y. G. Gladush, and A. M. Kamchatnov, Phys. Rev. A 78, 013829 (2008).
[CrossRef]

Phys. Rev. Lett. (7)

N. Ghofraniha, C. Conti, G. Ruocco, and S. Trillo, Phys. Rev. Lett. 99, 043903 (2007).
[CrossRef]

G. Grosso, G. Nardin, F. Morier-Genoud, Y. Léger, and B. Deveaud-Plédran, Phys. Rev. Lett. 107, 245301 (2011).
[CrossRef]

J. Keeling and N. G. Berloff, Phys. Rev. Lett. 100, 250401 (2008).
[CrossRef]

G. A. El, A. Gammal, and A. M. Kamchatnov, Phys. Rev. Lett. 97, 180405 (2006).
[CrossRef]

I. Carusotto, S. X. Hu, L. A. Collins, and A. Smerzi, Phys. Rev. Lett. 97, 260403 (2006).
[CrossRef]

P. Engels, and C. Atherton, Phys. Rev. Lett. 99, 160405 (2007).
[CrossRef]

J. E. Rothenberg and D. Grischkowsky, Phys. Rev. Lett. 62, 531 (1989).
[CrossRef]

Science (1)

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Leménager, R. Houdré, E. Giacobino, C. Ciuti, and A. Bramati, Science 332, 1167 (2011).
[CrossRef]

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