Abstract

We have investigated the interaction between two dissipative spatial solitons of different frequencies in periodically patterned semiconductor optical amplifiers. The experimental results are in good agreement with the theory. Simulations suggest that multiwavelength interactions do not produce stable bound solitons unless the system’s modeling equations are completely symmetric.

© 2005 Optical Society of America

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  1. J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 91, 143907 (2003).
    [Crossref]
  2. M. Mitchell and M. Segev, Phys. Rev. Lett. 80, 4657 (1998).
    [Crossref]
  3. W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
    [Crossref] [PubMed]
  4. E. A. Ultanir, G. I. Stegeman, D. Michaelis, C. H. Lange, and G. I. Stegeman, Phys. Rev. Lett. 90, 253903 (2003).
    [Crossref]
  5. E. A. Ultanir, G. I. Stegeman, C. H. Lange, and F. Lederer, Opt. Lett. 29, 283 (2004).
    [Crossref] [PubMed]
  6. M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Appl. Phys. Lett. 81, 3335 (2002).
    [Crossref]
  7. C. R. Menyuk, J. Opt. Soc. Am. B 5, 392 (1988).
    [Crossref]
  8. G. P. Agrawal, J. Opt. Soc. Am. B 7, 1072 (1990).
    [Crossref]
  9. N. N. Akhmediev, A. V. Buryak, J. Soto-Crespo, and D. R. Andersen, J. Opt. Soc. Am. B 12, 434 (1995).
    [Crossref]
  10. H. T. Tran and R. A. Sammut, Phys. Rev. A 52, 3170 (1995).
    [Crossref] [PubMed]
  11. B. A. Malomed and H. G. Winful, Phys. Rev. E 53, 5363 (1996).
  12. J. Atai and B. A. Malomed, Phys. Rev. E 54, 4371 (1996).
    [Crossref]
  13. D. J. Bossert and D. Gallant, IEEE Photon. Technol. Lett. 8, 322 (1996).
    [Crossref]

2004 (1)

2003 (2)

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 91, 143907 (2003).
[Crossref]

E. A. Ultanir, G. I. Stegeman, D. Michaelis, C. H. Lange, and G. I. Stegeman, Phys. Rev. Lett. 90, 253903 (2003).
[Crossref]

2002 (1)

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Appl. Phys. Lett. 81, 3335 (2002).
[Crossref]

1998 (1)

M. Mitchell and M. Segev, Phys. Rev. Lett. 80, 4657 (1998).
[Crossref]

1996 (3)

B. A. Malomed and H. G. Winful, Phys. Rev. E 53, 5363 (1996).

J. Atai and B. A. Malomed, Phys. Rev. E 54, 4371 (1996).
[Crossref]

D. J. Bossert and D. Gallant, IEEE Photon. Technol. Lett. 8, 322 (1996).
[Crossref]

1995 (3)

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[Crossref] [PubMed]

N. N. Akhmediev, A. V. Buryak, J. Soto-Crespo, and D. R. Andersen, J. Opt. Soc. Am. B 12, 434 (1995).
[Crossref]

H. T. Tran and R. A. Sammut, Phys. Rev. A 52, 3170 (1995).
[Crossref] [PubMed]

1990 (1)

1988 (1)

Agrawal, G. P.

Aitchison, J. S.

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 91, 143907 (2003).
[Crossref]

Akhmediev, N. N.

Andersen, D. R.

Assanto, G.

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Appl. Phys. Lett. 81, 3335 (2002).
[Crossref]

Atai, J.

J. Atai and B. A. Malomed, Phys. Rev. E 54, 4371 (1996).
[Crossref]

Bossert, D. J.

D. J. Bossert and D. Gallant, IEEE Photon. Technol. Lett. 8, 322 (1996).
[Crossref]

Buryak, A. V.

Christodoulides, D.

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 91, 143907 (2003).
[Crossref]

Conti, C.

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Appl. Phys. Lett. 81, 3335 (2002).
[Crossref]

De Luca, A.

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Appl. Phys. Lett. 81, 3335 (2002).
[Crossref]

Gallant, D.

D. J. Bossert and D. Gallant, IEEE Photon. Technol. Lett. 8, 322 (1996).
[Crossref]

Hagan, D. J.

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[Crossref] [PubMed]

Hudock, J.

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 91, 143907 (2003).
[Crossref]

Lange, C. H.

E. A. Ultanir, G. I. Stegeman, C. H. Lange, and F. Lederer, Opt. Lett. 29, 283 (2004).
[Crossref] [PubMed]

E. A. Ultanir, G. I. Stegeman, D. Michaelis, C. H. Lange, and G. I. Stegeman, Phys. Rev. Lett. 90, 253903 (2003).
[Crossref]

Lederer, F.

Malomed, B. A.

J. Atai and B. A. Malomed, Phys. Rev. E 54, 4371 (1996).
[Crossref]

B. A. Malomed and H. G. Winful, Phys. Rev. E 53, 5363 (1996).

Meier, J.

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 91, 143907 (2003).
[Crossref]

Menyuk, C. R.

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[Crossref] [PubMed]

C. R. Menyuk, J. Opt. Soc. Am. B 5, 392 (1988).
[Crossref]

Michaelis, D.

E. A. Ultanir, G. I. Stegeman, D. Michaelis, C. H. Lange, and G. I. Stegeman, Phys. Rev. Lett. 90, 253903 (2003).
[Crossref]

Mitchell, M.

M. Mitchell and M. Segev, Phys. Rev. Lett. 80, 4657 (1998).
[Crossref]

Morandotti, R.

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 91, 143907 (2003).
[Crossref]

Peccianti, M.

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Appl. Phys. Lett. 81, 3335 (2002).
[Crossref]

Sammut, R. A.

H. T. Tran and R. A. Sammut, Phys. Rev. A 52, 3170 (1995).
[Crossref] [PubMed]

Segev, M.

M. Mitchell and M. Segev, Phys. Rev. Lett. 80, 4657 (1998).
[Crossref]

Silberberg, Y.

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 91, 143907 (2003).
[Crossref]

Soto-Crespo, J.

Stegeman, G.

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 91, 143907 (2003).
[Crossref]

Stegeman, G. I.

E. A. Ultanir, G. I. Stegeman, C. H. Lange, and F. Lederer, Opt. Lett. 29, 283 (2004).
[Crossref] [PubMed]

E. A. Ultanir, G. I. Stegeman, D. Michaelis, C. H. Lange, and G. I. Stegeman, Phys. Rev. Lett. 90, 253903 (2003).
[Crossref]

E. A. Ultanir, G. I. Stegeman, D. Michaelis, C. H. Lange, and G. I. Stegeman, Phys. Rev. Lett. 90, 253903 (2003).
[Crossref]

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[Crossref] [PubMed]

Torner, L.

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[Crossref] [PubMed]

Torruellas, W. E.

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[Crossref] [PubMed]

Tran, H. T.

H. T. Tran and R. A. Sammut, Phys. Rev. A 52, 3170 (1995).
[Crossref] [PubMed]

Ultanir, E. A.

E. A. Ultanir, G. I. Stegeman, C. H. Lange, and F. Lederer, Opt. Lett. 29, 283 (2004).
[Crossref] [PubMed]

E. A. Ultanir, G. I. Stegeman, D. Michaelis, C. H. Lange, and G. I. Stegeman, Phys. Rev. Lett. 90, 253903 (2003).
[Crossref]

Umeton, C.

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Appl. Phys. Lett. 81, 3335 (2002).
[Crossref]

Van Stryland, E. W.

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[Crossref] [PubMed]

Wang, Z.

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[Crossref] [PubMed]

Winful, H. G.

B. A. Malomed and H. G. Winful, Phys. Rev. E 53, 5363 (1996).

Appl. Phys. Lett. (1)

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Appl. Phys. Lett. 81, 3335 (2002).
[Crossref]

IEEE Photon. Technol. Lett. (1)

D. J. Bossert and D. Gallant, IEEE Photon. Technol. Lett. 8, 322 (1996).
[Crossref]

J. Opt. Soc. Am. B (3)

Opt. Lett. (1)

Phys. Rev. A (1)

H. T. Tran and R. A. Sammut, Phys. Rev. A 52, 3170 (1995).
[Crossref] [PubMed]

Phys. Rev. E (2)

B. A. Malomed and H. G. Winful, Phys. Rev. E 53, 5363 (1996).

J. Atai and B. A. Malomed, Phys. Rev. E 54, 4371 (1996).
[Crossref]

Phys. Rev. Lett. (4)

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 91, 143907 (2003).
[Crossref]

M. Mitchell and M. Segev, Phys. Rev. Lett. 80, 4657 (1998).
[Crossref]

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[Crossref] [PubMed]

E. A. Ultanir, G. I. Stegeman, D. Michaelis, C. H. Lange, and G. I. Stegeman, Phys. Rev. Lett. 90, 253903 (2003).
[Crossref]

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Figures (4)

Fig. 1
Fig. 1

Output from the PPSOA for (a) the TS beam and (b) the LD beam as the TS power is increased. Note that the software normalizes each figure separately to the highest output power, so the powers in these pictures cannot be compared directly.

Fig. 2
Fig. 2

Simulations of the output from the PPSOA for (a) the TS beam and (b) the LD beam as the TS power is increased for a two-color interaction after 1-cm propagation along the sample.

Fig. 3
Fig. 3

Solid curves, ψ1; dashed curves, ψ2. (a) Peak field level [mW/µm] of the beams; (b) fitted sech waist [µm].

Fig. 4
Fig. 4

Peak field levels [mW/µm] for two-wavelength beam propagation simulations. (a) , ψ1; , ψ2 for μ=1.0 and η=0.95. , ψ1; , ψ2 for μ=1.003 and η=1.0. (b) Coupled soliton formation for μ=1.0 and η=1.0.

Equations (1)

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ψ1z=i2ψ1xx+ψ1fN1-ih1-α,  ψ2z=iμ2ψ2xx+1ηψ2fN1-ih2-α,

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