Abstract

Giant Goos–Hänchen shifts and radiation-induced trapping are studied at the planar boundary separating two focusing Kerr media within the framework of the Helmholtz theory. The analysis, valid for all angles of incidence, reveals that interfaces exhibiting linear external refraction can also accommodate both phenomena. Numerical evidence of these effects is provided, based on analytical predictions derived from a generalized Snell’s law.

© 2011 Optical Society of America

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References

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    [CrossRef]
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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] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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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] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
  30. P. Chamorro-Posada, G. S. McDonald, and G. H. C. New, Opt. Commun. 192, 1 (2001).
    [CrossRef]

2009 (1)

J. Sánchez-Curto, P. Chamorro-Posada, and G. S. McDonald, J. Opt. A 11, 054015 (2009).
[CrossRef]

2007 (3)

2004 (1)

2002 (1)

2001 (1)

P. Chamorro-Posada, G. S. McDonald, and G. H. C. New, Opt. Commun. 192, 1 (2001).
[CrossRef]

2000 (2)

P. Chamorro-Posada, G. S. McDonald, and G. H. C. New, J. Mod. Opt. 47, 1877 (2000).

H. M. Lai, C. W. Kwok, Y. W. Loo, and B. Y. Xu, Phys. Rev. E 62, 7330 (2000).
[CrossRef]

1998 (2)

B. M. Jost, A.-A. R. Al-Rashed, and B. E. A. Saleh, Phys. Rev. Lett. 81, 2233 (1998).
[CrossRef]

P. Chamorro-Posada, G. S. McDonald, and G. H. C. New, J. Mod. Opt. 45, 1111 (1998).
[CrossRef]

1996 (2)

P. J. Bradley and C. De Angelis, Opt. Commun. 130, 205 (1996).
[CrossRef]

G. Fibich, Phys. Rev. Lett. 76, 4356 (1996).
[CrossRef] [PubMed]

1995 (1)

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

1993 (2)

E. Pfleghaar, A. Marseille, and A. Weis, Phys. Rev. Lett. 70, 2281 (1993).
[CrossRef] [PubMed]

Yu. S. Kivshar and M. L. Quiroga-Teixeiro, Phys. Rev. A 48, 4750 (1993).
[CrossRef] [PubMed]

1992 (2)

Y. Chen, Phys. Rev. A 45, 4974 (1992).
[CrossRef] [PubMed]

F. Bretenaker, A. Le Floch, and L. Dutriaux, Phys. Rev. Lett. 68, 931 (1992).
[CrossRef] [PubMed]

1990 (2)

Yu. S. Kivshar, A. M. Kosevich, and O. A. Chubykalo, Phys. Rev. A 41, 1677 (1990).
[CrossRef] [PubMed]

P. Varatharajah, A. B. Aceves, and J. V. Moloney, J. Opt. Soc. Am. B 7, 220 (1990).
[CrossRef]

1989 (2)

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

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
[CrossRef] [PubMed]

1988 (2)

D. R. Andersen, Phys. Rev. A 37, 189 (1988).
[CrossRef] [PubMed]

L. A. Nesterov, Opt. Spektrosk. 64, 1166 (1988).

1985 (1)

N. N. Akhmediev, V. I. Korneev, and Yu. V. Kuzmenko, Zh. Eksp. Teor. Fiz. 88, 107 (1985).

1982 (1)

1980 (1)

1971 (2)

1947 (1)

F. Goos and H. Hänchen, Ann. Phys. 1, 333 (1947).
[CrossRef]

Aceves, A. B.

P. Varatharajah, A. B. Aceves, and J. V. Moloney, J. Opt. Soc. Am. B 7, 220 (1990).
[CrossRef]

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
[CrossRef] [PubMed]

Akhmediev, N. N.

N. N. Akhmediev, V. I. Korneev, and Yu. V. Kuzmenko, Zh. Eksp. Teor. Fiz. 88, 107 (1985).

Al-Rashed, A.-A. R.

B. M. Jost, A.-A. R. Al-Rashed, and B. E. A. Saleh, Phys. Rev. Lett. 81, 2233 (1998).
[CrossRef]

Andersen, D. R.

D. R. Andersen, Phys. Rev. A 37, 189 (1988).
[CrossRef] [PubMed]

Assanto, G.

Bertolotti, M.

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

Bertoni, H. L.

Bradley, P. J.

P. J. Bradley and C. De Angelis, Opt. Commun. 130, 205 (1996).
[CrossRef]

Bretenaker, F.

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

F. Bretenaker, A. Le Floch, and L. Dutriaux, Phys. Rev. Lett. 68, 931 (1992).
[CrossRef] [PubMed]

Chamorro-Posada, P.

J. Sánchez-Curto, P. Chamorro-Posada, and G. S. McDonald, J. Opt. A 11, 054015 (2009).
[CrossRef]

J. Sánchez-Curto, P. Chamorro-Posada, and G. S. McDonald, Opt. Lett. 32, 1126 (2007).
[CrossRef] [PubMed]

P. Chamorro-Posada, G. S. McDonald, and G. H. C. New, Opt. Commun. 192, 1 (2001).
[CrossRef]

P. Chamorro-Posada, G. S. McDonald, and G. H. C. New, J. Mod. Opt. 47, 1877 (2000).

P. Chamorro-Posada, G. S. McDonald, and G. H. C. New, J. Mod. Opt. 45, 1111 (1998).
[CrossRef]

Chen, Y.

Y. Chen, Phys. Rev. A 45, 4974 (1992).
[CrossRef] [PubMed]

Chubykalo, O. A.

Yu. S. Kivshar, A. M. Kosevich, and O. A. Chubykalo, Phys. Rev. A 41, 1677 (1990).
[CrossRef] [PubMed]

De Angelis, C.

P. J. Bradley and C. De Angelis, Opt. Commun. 130, 205 (1996).
[CrossRef]

Dutriaux, L.

F. Bretenaker, A. Le Floch, and L. Dutriaux, Phys. Rev. Lett. 68, 931 (1992).
[CrossRef] [PubMed]

Dyadyusha, A.

Emile, O.

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

Fibich, G.

G. Fibich, Phys. Rev. Lett. 76, 4356 (1996).
[CrossRef] [PubMed]

Galstyan, T.

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

Goos, F.

F. Goos and H. Hänchen, Ann. Phys. 1, 333 (1947).
[CrossRef]

Gordon, J. P.

Hänchen, H.

F. Goos and H. Hänchen, Ann. Phys. 1, 333 (1947).
[CrossRef]

Horowitz, B. R.

Jost, B. M.

B. M. Jost, A.-A. R. Al-Rashed, and B. E. A. Saleh, Phys. Rev. Lett. 81, 2233 (1998).
[CrossRef]

Kaczmarek, M.

Kaplan, A. E.

Kartashov, Y. V.

Kivshar, Yu. S.

Yu. S. Kivshar and M. L. Quiroga-Teixeiro, Phys. Rev. A 48, 4750 (1993).
[CrossRef] [PubMed]

Yu. S. Kivshar, A. M. Kosevich, and O. A. Chubykalo, Phys. Rev. A 41, 1677 (1990).
[CrossRef] [PubMed]

Korneev, V. I.

N. N. Akhmediev, V. I. Korneev, and Yu. V. Kuzmenko, Zh. Eksp. Teor. Fiz. 88, 107 (1985).

Kosevich, A. M.

Yu. S. Kivshar, A. M. Kosevich, and O. A. Chubykalo, Phys. Rev. A 41, 1677 (1990).
[CrossRef] [PubMed]

Kuzmenko, Yu. V.

N. N. Akhmediev, V. I. Korneev, and Yu. V. Kuzmenko, Zh. Eksp. Teor. Fiz. 88, 107 (1985).

Kwok, C. W.

H. M. Lai, C. W. Kwok, Y. W. Loo, and B. Y. Xu, Phys. Rev. E 62, 7330 (2000).
[CrossRef]

Lai, H. M.

H. M. Lai, C. W. Kwok, Y. W. Loo, and B. Y. Xu, Phys. Rev. E 62, 7330 (2000).
[CrossRef]

Le Floch, A.

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

F. Bretenaker, A. Le Floch, and L. Dutriaux, Phys. Rev. Lett. 68, 931 (1992).
[CrossRef] [PubMed]

Loo, Y. W.

H. M. Lai, C. W. Kwok, Y. W. Loo, and B. Y. Xu, Phys. Rev. E 62, 7330 (2000).
[CrossRef]

Marcuse, D.

Marseille, A.

E. Pfleghaar, A. Marseille, and A. Weis, Phys. Rev. Lett. 70, 2281 (1993).
[CrossRef] [PubMed]

McDonald, G. S.

J. Sánchez-Curto, P. Chamorro-Posada, and G. S. McDonald, J. Opt. A 11, 054015 (2009).
[CrossRef]

J. Sánchez-Curto, P. Chamorro-Posada, and G. S. McDonald, Opt. Lett. 32, 1126 (2007).
[CrossRef] [PubMed]

P. Chamorro-Posada, G. S. McDonald, and G. H. C. New, Opt. Commun. 192, 1 (2001).
[CrossRef]

P. Chamorro-Posada, G. S. McDonald, and G. H. C. New, J. Mod. Opt. 47, 1877 (2000).

P. Chamorro-Posada, G. S. McDonald, and G. H. C. New, J. Mod. Opt. 45, 1111 (1998).
[CrossRef]

Mihalache, D.

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

Moloney, J. V.

P. Varatharajah, A. B. Aceves, and J. V. Moloney, J. Opt. Soc. Am. B 7, 220 (1990).
[CrossRef]

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
[CrossRef] [PubMed]

Nesterov, L. A.

L. A. Nesterov, Opt. Spektrosk. 64, 1166 (1988).

New, G. H. C.

P. Chamorro-Posada, G. S. McDonald, and G. H. C. New, Opt. Commun. 192, 1 (2001).
[CrossRef]

P. Chamorro-Posada, G. S. McDonald, and G. H. C. New, J. Mod. Opt. 47, 1877 (2000).

P. Chamorro-Posada, G. S. McDonald, and G. H. C. New, J. Mod. Opt. 45, 1111 (1998).
[CrossRef]

Newell, A. C.

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
[CrossRef] [PubMed]

Peccianti, M.

Pfleghaar, E.

E. Pfleghaar, A. Marseille, and A. Weis, Phys. Rev. Lett. 70, 2281 (1993).
[CrossRef] [PubMed]

Quiroga-Teixeiro, M. L.

Yu. S. Kivshar and M. L. Quiroga-Teixeiro, Phys. Rev. A 48, 4750 (1993).
[CrossRef] [PubMed]

Saleh, B. E. A.

B. M. Jost, A.-A. R. Al-Rashed, and B. E. A. Saleh, Phys. Rev. Lett. 81, 2233 (1998).
[CrossRef]

Sánchez-Curto, J.

J. Sánchez-Curto, P. Chamorro-Posada, and G. S. McDonald, J. Opt. A 11, 054015 (2009).
[CrossRef]

J. Sánchez-Curto, P. Chamorro-Posada, and G. S. McDonald, Opt. Lett. 32, 1126 (2007).
[CrossRef] [PubMed]

Shadrivov, I. V.

Sibilia, C.

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

Smith, P. W.

Tamir, T.

Tomlinson, W. J.

Torner, L.

Varatharajah, P.

Vysloukh, V. A.

Weis, A.

E. Pfleghaar, A. Marseille, and A. Weis, Phys. Rev. Lett. 70, 2281 (1993).
[CrossRef] [PubMed]

Xu, B. Y.

H. M. Lai, C. W. Kwok, Y. W. Loo, and B. Y. Xu, Phys. Rev. E 62, 7330 (2000).
[CrossRef]

Ye, F.

Zelenina, A. S.

Zharov, A. A.

Ann. Phys. (1)

F. Goos and H. Hänchen, Ann. Phys. 1, 333 (1947).
[CrossRef]

Appl. Opt. (2)

J. Mod. Opt. (2)

P. Chamorro-Posada, G. S. McDonald, and G. H. C. New, J. Mod. Opt. 45, 1111 (1998).
[CrossRef]

P. Chamorro-Posada, G. S. McDonald, and G. H. C. New, J. Mod. Opt. 47, 1877 (2000).

J. Opt. A (1)

J. Sánchez-Curto, P. Chamorro-Posada, and G. S. McDonald, J. Opt. A 11, 054015 (2009).
[CrossRef]

J. Opt. Soc. Am. (2)

J. Opt. Soc. Am. B (2)

Opt. Commun. (2)

P. Chamorro-Posada, G. S. McDonald, and G. H. C. New, Opt. Commun. 192, 1 (2001).
[CrossRef]

P. J. Bradley and C. De Angelis, Opt. Commun. 130, 205 (1996).
[CrossRef]

Opt. Lett. (4)

Opt. Spektrosk. (1)

L. A. Nesterov, Opt. Spektrosk. 64, 1166 (1988).

Phys. Rev. A (5)

Yu. S. Kivshar, A. M. Kosevich, and O. A. Chubykalo, Phys. Rev. A 41, 1677 (1990).
[CrossRef] [PubMed]

Yu. S. Kivshar and M. L. Quiroga-Teixeiro, Phys. Rev. A 48, 4750 (1993).
[CrossRef] [PubMed]

D. R. Andersen, Phys. Rev. A 37, 189 (1988).
[CrossRef] [PubMed]

Y. Chen, Phys. Rev. A 45, 4974 (1992).
[CrossRef] [PubMed]

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
[CrossRef] [PubMed]

Phys. Rev. E (1)

H. M. Lai, C. W. Kwok, Y. W. Loo, and B. Y. Xu, Phys. Rev. E 62, 7330 (2000).
[CrossRef]

Phys. Rev. Lett. (5)

F. Bretenaker, A. Le Floch, and L. Dutriaux, Phys. Rev. Lett. 68, 931 (1992).
[CrossRef] [PubMed]

E. Pfleghaar, A. Marseille, and A. Weis, Phys. Rev. Lett. 70, 2281 (1993).
[CrossRef] [PubMed]

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

B. M. Jost, A.-A. R. Al-Rashed, and B. E. A. Saleh, Phys. Rev. Lett. 81, 2233 (1998).
[CrossRef]

G. Fibich, Phys. Rev. Lett. 76, 4356 (1996).
[CrossRef] [PubMed]

Prog. Opt. (1)

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

Zh. Eksp. Teor. Fiz. (1)

N. N. Akhmediev, V. I. Korneev, and Yu. V. Kuzmenko, Zh. Eksp. Teor. Fiz. 88, 107 (1985).

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Figures (3)

Fig. 1
Fig. 1

(a) GHS for Helmholtz solitons. (b) Critical angle for diffrent nonlinear interfaces. (c) GHS found at linear-step interfaces depending on the beam size. (d) Giant GHS at nonlinear interfaces with Δ > 0 and Δ < 0 .

Fig. 2
Fig. 2

(a) External and (b) usual GHS.

Fig. 3
Fig. 3

(a) Helmholtz soliton trapped by a nonlinear interface with Δ < 0 . (b) Phase plane representation.

Equations (2)

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κ 2 u ζ 2 + j u ζ + 1 2 2 u ξ 2 + | u | 2 u = [ Δ 4 κ + ( 1 α ) | u | 2 ] H ( ξ ) u ,
tan θ c = ( Δ + 2 κ η 0 2 ( 1 α ) 1 Δ + 2 κ η 0 2 α ) 1 / 2 ,

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