Abstract

We demonstrate self-phase modulation (SPM) spectral broadening in two-dimensional solitons in homogeneous media using two different schemes. In the active mode, a train of pulses are collectively trapped and form a spatial soliton through a photorefractive, slowly responding, and electronically controlled self-focusing nonlinearity, and each pulse experiences spectral broadening by the fast SPM nonlinearity. In the passive mode, the pulse-train beam is guided in a waveguide that is optically induced by a continuous-wave thermal spatial soliton. The soliton formation increased the normalized spectral broadening factor from 0.5% up to 197%. This experiment presents significant progress toward the experimental demonstration of three-dimensional spatiotemporal pulse-train solitons.

© 2012 Optical Society of America

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  1. D. H. Reitze, A. M. Weiner, and D. E. Leaird, Opt. Lett. 16, 1409 (1991).
    [CrossRef]
  2. S. Lan, M. Shih, and M. Segev, Opt. Lett. 22, 1467 (1997).
    [CrossRef]
  3. S. Lan, M. Shih, G. Mizell, J. A. Giordmaine, Z. Chen, C. Anastassiou, J. Martin, and M. Segev, Opt. Lett. 24, 1145 (1999).
    [CrossRef]
  4. S. Lan, J. A. Giordmaine, M. Segev, and D. Rytz, Opt. Lett. 27, 737 (2002).
    [CrossRef]
  5. M. Peccianti, A. Pasquazi, G. Assanto, and R. Morandotti, Opt. Lett. 35, 3342 (2010).
    [CrossRef]
  6. P. L. Kelley, Phys. Rev. Lett. 15, 1005 (1965).
    [CrossRef]
  7. Y. Silberberg, Opt. Lett. 15, 1282 (1990).
    [CrossRef]
  8. B. A. Malomed, D. Mihalache, F. W. Wise, and L. Torner, J. Opt. B 7, R53 (2005).
    [CrossRef]
  9. X. Liu, L. J. Qian, and F. W. Wise, Phys. Rev. Lett. 82, 4631 (1999).
    [CrossRef]
  10. S. Minardi, F. Eilenberger, Y. V. Kartashov, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, Phys. Rev. Lett. 105, 263901 (2010).
    [CrossRef]
  11. H. C. Gurgov and O. Cohen, Opt. Express 17, 7052 (2009).
    [CrossRef]
  12. I. B. Burgess, M. Peccianti, G. Assanto, and R. Morandotti, Phys. Rev. Lett. 102, 203903 (2009).
    [CrossRef]
  13. M. Peccianti, I. B. Burgess, G. Assanto, and R. Morandotti, Opt. Express 18, 5934 (2010).
    [CrossRef]
  14. K. Kos, G. J. Salamo, and M. Segev, Opt. Lett. 23, 1001 (1998).
  15. J. Imbrock, C. Heese, and C. Denz, Appl. Phys. B 95, 261 (2009).
  16. G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. D. Porto, E. J. Sharp, and R. R. Nuergaonkar, Phys. Rev. Lett. 71, 533 (1993).
    [CrossRef]
  17. M. Morin, G. C. Duree, G. J. Salamo, and M. Segev, Opt. Lett. 20, 2066 (1995).
    [CrossRef]
  18. S. R. Singh, M. I. Carvalho, and D. N. Christodoulides, Opt. Commun. 130, 288 (1996).
  19. C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
    [CrossRef]

2010 (3)

M. Peccianti, A. Pasquazi, G. Assanto, and R. Morandotti, Opt. Lett. 35, 3342 (2010).
[CrossRef]

S. Minardi, F. Eilenberger, Y. V. Kartashov, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, Phys. Rev. Lett. 105, 263901 (2010).
[CrossRef]

M. Peccianti, I. B. Burgess, G. Assanto, and R. Morandotti, Opt. Express 18, 5934 (2010).
[CrossRef]

2009 (3)

H. C. Gurgov and O. Cohen, Opt. Express 17, 7052 (2009).
[CrossRef]

I. B. Burgess, M. Peccianti, G. Assanto, and R. Morandotti, Phys. Rev. Lett. 102, 203903 (2009).
[CrossRef]

J. Imbrock, C. Heese, and C. Denz, Appl. Phys. B 95, 261 (2009).

2005 (2)

B. A. Malomed, D. Mihalache, F. W. Wise, and L. Torner, J. Opt. B 7, R53 (2005).
[CrossRef]

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef]

2002 (1)

1999 (2)

1998 (1)

1997 (1)

1996 (1)

S. R. Singh, M. I. Carvalho, and D. N. Christodoulides, Opt. Commun. 130, 288 (1996).

1995 (1)

1993 (1)

G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. D. Porto, E. J. Sharp, and R. R. Nuergaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef]

1991 (1)

1990 (1)

1965 (1)

P. L. Kelley, Phys. Rev. Lett. 15, 1005 (1965).
[CrossRef]

Anastassiou, C.

Assanto, G.

Bartelt, H.

S. Minardi, F. Eilenberger, Y. V. Kartashov, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, Phys. Rev. Lett. 105, 263901 (2010).
[CrossRef]

Burgess, I. B.

M. Peccianti, I. B. Burgess, G. Assanto, and R. Morandotti, Opt. Express 18, 5934 (2010).
[CrossRef]

I. B. Burgess, M. Peccianti, G. Assanto, and R. Morandotti, Phys. Rev. Lett. 102, 203903 (2009).
[CrossRef]

Carmon, T.

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef]

Carvalho, M. I.

S. R. Singh, M. I. Carvalho, and D. N. Christodoulides, Opt. Commun. 130, 288 (1996).

Chen, Z.

Christodoulides, D. N.

S. R. Singh, M. I. Carvalho, and D. N. Christodoulides, Opt. Commun. 130, 288 (1996).

Cohen, O.

H. C. Gurgov and O. Cohen, Opt. Express 17, 7052 (2009).
[CrossRef]

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef]

Crosignani, B.

G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. D. Porto, E. J. Sharp, and R. R. Nuergaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef]

Denz, C.

J. Imbrock, C. Heese, and C. Denz, Appl. Phys. B 95, 261 (2009).

Duree, G. C.

M. Morin, G. C. Duree, G. J. Salamo, and M. Segev, Opt. Lett. 20, 2066 (1995).
[CrossRef]

G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. D. Porto, E. J. Sharp, and R. R. Nuergaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef]

Eilenberger, F.

S. Minardi, F. Eilenberger, Y. V. Kartashov, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, Phys. Rev. Lett. 105, 263901 (2010).
[CrossRef]

Giordmaine, J. A.

Gurgov, H. C.

Heese, C.

J. Imbrock, C. Heese, and C. Denz, Appl. Phys. B 95, 261 (2009).

Imbrock, J.

J. Imbrock, C. Heese, and C. Denz, Appl. Phys. B 95, 261 (2009).

Kartashov, Y. V.

S. Minardi, F. Eilenberger, Y. V. Kartashov, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, Phys. Rev. Lett. 105, 263901 (2010).
[CrossRef]

Kelley, P. L.

P. L. Kelley, Phys. Rev. Lett. 15, 1005 (1965).
[CrossRef]

Kobelke, J.

S. Minardi, F. Eilenberger, Y. V. Kartashov, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, Phys. Rev. Lett. 105, 263901 (2010).
[CrossRef]

Kos, K.

Lan, S.

Leaird, D. E.

Lederer, F.

S. Minardi, F. Eilenberger, Y. V. Kartashov, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, Phys. Rev. Lett. 105, 263901 (2010).
[CrossRef]

Liu, X.

X. Liu, L. J. Qian, and F. W. Wise, Phys. Rev. Lett. 82, 4631 (1999).
[CrossRef]

Malomed, B. A.

B. A. Malomed, D. Mihalache, F. W. Wise, and L. Torner, J. Opt. B 7, R53 (2005).
[CrossRef]

Manela, O.

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef]

Martin, J.

Mihalache, D.

B. A. Malomed, D. Mihalache, F. W. Wise, and L. Torner, J. Opt. B 7, R53 (2005).
[CrossRef]

Minardi, S.

S. Minardi, F. Eilenberger, Y. V. Kartashov, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, Phys. Rev. Lett. 105, 263901 (2010).
[CrossRef]

Mizell, G.

Morandotti, R.

Morin, M.

Nolte, S.

S. Minardi, F. Eilenberger, Y. V. Kartashov, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, Phys. Rev. Lett. 105, 263901 (2010).
[CrossRef]

Nuergaonkar, R. R.

G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. D. Porto, E. J. Sharp, and R. R. Nuergaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef]

Pasquazi, A.

Peccianti, M.

Pertsch, T.

S. Minardi, F. Eilenberger, Y. V. Kartashov, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, Phys. Rev. Lett. 105, 263901 (2010).
[CrossRef]

Porto, P. D.

G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. D. Porto, E. J. Sharp, and R. R. Nuergaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef]

Qian, L. J.

X. Liu, L. J. Qian, and F. W. Wise, Phys. Rev. Lett. 82, 4631 (1999).
[CrossRef]

Reitze, D. H.

Röpke, U.

S. Minardi, F. Eilenberger, Y. V. Kartashov, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, Phys. Rev. Lett. 105, 263901 (2010).
[CrossRef]

Rotschild, C.

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef]

Rytz, D.

Salamo, G. J.

K. Kos, G. J. Salamo, and M. Segev, Opt. Lett. 23, 1001 (1998).

M. Morin, G. C. Duree, G. J. Salamo, and M. Segev, Opt. Lett. 20, 2066 (1995).
[CrossRef]

G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. D. Porto, E. J. Sharp, and R. R. Nuergaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef]

Schuster, K.

S. Minardi, F. Eilenberger, Y. V. Kartashov, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, Phys. Rev. Lett. 105, 263901 (2010).
[CrossRef]

Segev, M.

Sharp, E. J.

G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. D. Porto, E. J. Sharp, and R. R. Nuergaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef]

Shih, M.

Shultz, J. L.

G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. D. Porto, E. J. Sharp, and R. R. Nuergaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef]

Silberberg, Y.

Singh, S. R.

S. R. Singh, M. I. Carvalho, and D. N. Christodoulides, Opt. Commun. 130, 288 (1996).

Szameit, A.

S. Minardi, F. Eilenberger, Y. V. Kartashov, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, Phys. Rev. Lett. 105, 263901 (2010).
[CrossRef]

Torner, L.

S. Minardi, F. Eilenberger, Y. V. Kartashov, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, Phys. Rev. Lett. 105, 263901 (2010).
[CrossRef]

B. A. Malomed, D. Mihalache, F. W. Wise, and L. Torner, J. Opt. B 7, R53 (2005).
[CrossRef]

Tünnermann, A.

S. Minardi, F. Eilenberger, Y. V. Kartashov, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, Phys. Rev. Lett. 105, 263901 (2010).
[CrossRef]

Weiner, A. M.

Wise, F. W.

B. A. Malomed, D. Mihalache, F. W. Wise, and L. Torner, J. Opt. B 7, R53 (2005).
[CrossRef]

X. Liu, L. J. Qian, and F. W. Wise, Phys. Rev. Lett. 82, 4631 (1999).
[CrossRef]

Yariv, A.

G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. D. Porto, E. J. Sharp, and R. R. Nuergaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef]

Appl. Phys. B (1)

J. Imbrock, C. Heese, and C. Denz, Appl. Phys. B 95, 261 (2009).

J. Opt. B (1)

B. A. Malomed, D. Mihalache, F. W. Wise, and L. Torner, J. Opt. B 7, R53 (2005).
[CrossRef]

Opt. Commun. (1)

S. R. Singh, M. I. Carvalho, and D. N. Christodoulides, Opt. Commun. 130, 288 (1996).

Opt. Express (2)

Opt. Lett. (8)

Phys. Rev. Lett. (6)

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef]

G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. D. Porto, E. J. Sharp, and R. R. Nuergaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef]

P. L. Kelley, Phys. Rev. Lett. 15, 1005 (1965).
[CrossRef]

I. B. Burgess, M. Peccianti, G. Assanto, and R. Morandotti, Phys. Rev. Lett. 102, 203903 (2009).
[CrossRef]

X. Liu, L. J. Qian, and F. W. Wise, Phys. Rev. Lett. 82, 4631 (1999).
[CrossRef]

S. Minardi, F. Eilenberger, Y. V. Kartashov, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, Phys. Rev. Lett. 105, 263901 (2010).
[CrossRef]

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Figures (2)

Fig. 1.
Fig. 1.

Active-mode enhancement of SPM spectral broadening by slow self-focusing nonlinearity. (a) Experimental setup. (b) Spatial intensity distributions and spectra versus the applied voltages, which controls the strength of the photorefractive self-focusing: (middle panel) photographs of the beams, (left panel) x (solid) and y (dashed) intensity profiles, (right panel) spectra. For comparison, the lower section in all panels shows the input beam. (c) Normalized spatial broadening factor (blue circles) and normalized spectral broadening factor (green asterisk) versus the applied voltage. See text for definitions of these factors.

Fig. 2.
Fig. 2.

Passive-mode enhancement of SPM spectral broadening by slow self-focusing nonlinearity. (a) Experimental setup. (b) Input and output photographs of the CW and pulsed laser beams. (c) Normalized spectra at the output face versus the power of the CW beam. (d) Normalized spatial broadening factor of CW (green circles) and pulse (red-dashed circles) beams and normalized spectral broadening factor (red asterisk) versus the power of the CW beam. See text describing Fig. 1 for definitions of these factors.

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