Abstract

A new kind of holographic soliton is proposed for a photorefractive dissipative system consisting of a biased photorefractive crystal and a strong pump beam with a uniform spatial distribution in both transverse dimensions. The self-trapping beam in the system can evolve into a spatial soliton when it couples coherently with the pump beam by two-wave mixing. Unlike the holographic solitons recently proposed by Cohen et al. [Opt. Lett. 27, 2031 (2002)], the most unique features of the present solitons are that they have a fixed amplitude and width that are determined completely by the system parameters and that their existence conditions are independent of the polarity of the bias field. Numerical simulations show that these solitons are stable relative to small perturbations.

© 2003 Optical Society of America

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  1. O. Cohen, T. Carmon, M. Segev, and S. Odoulov, Opt. Lett. 27, 2031 (2002).
    [CrossRef]
  2. C. Paré, L. Gagnon, and P.-A. Belangre, Opt. Commun. 74, 228 (1989).
    [CrossRef]
  3. G. Khitrova, H. M. Gibbs, Y. Kawamura, H. Iwamura, T. Ikegami, J. E. Sipe, and L. Ming, Phys. Rev. Lett. 70, 920 (1993).
    [CrossRef] [PubMed]
  4. V. G. Kukushkin, Sov. J. Quantum Electron. 17, 116 (1987).
    [CrossRef]
  5. N. Bekki and K. Nozaki, J. Phys. Soc. Jpn. 53, 1581 (1984).
    [CrossRef]
  6. N. N. Akhmediev, V. V. Afanasjev, and J. M. Soto-Crespo, Phys. Rev. E 53, 1190 (1996).
    [CrossRef]
  7. N. N. Akhmediev and V. V. Afanasjev, Phys. Rev. Lett. 75, 2320 (1995).
    [CrossRef] [PubMed]
  8. J. M. Soto-Crespo, N. N. Akhmediev, V. V. Afanasjev, and J. M. Soto-Crespo, J. Opt. Soc. Am. B 13, 1439 (1996).
    [CrossRef]
  9. P. Yeh, IEEE J. Quantum Electron. 25, 484 (1989).
    [CrossRef]
  10. I. Oda, Y. Otani, L. Liu, and T. Yoshizawa, Opt. Commun. 148, 95 (1998).
    [CrossRef]
  11. R. A. Vazqez, M. D. Ewbank, and R. R. Neurgaonkar, Opt. Commun. 80, 235 (1991).

2002

1998

I. Oda, Y. Otani, L. Liu, and T. Yoshizawa, Opt. Commun. 148, 95 (1998).
[CrossRef]

1996

1995

N. N. Akhmediev and V. V. Afanasjev, Phys. Rev. Lett. 75, 2320 (1995).
[CrossRef] [PubMed]

1993

G. Khitrova, H. M. Gibbs, Y. Kawamura, H. Iwamura, T. Ikegami, J. E. Sipe, and L. Ming, Phys. Rev. Lett. 70, 920 (1993).
[CrossRef] [PubMed]

1991

R. A. Vazqez, M. D. Ewbank, and R. R. Neurgaonkar, Opt. Commun. 80, 235 (1991).

1989

C. Paré, L. Gagnon, and P.-A. Belangre, Opt. Commun. 74, 228 (1989).
[CrossRef]

P. Yeh, IEEE J. Quantum Electron. 25, 484 (1989).
[CrossRef]

1987

V. G. Kukushkin, Sov. J. Quantum Electron. 17, 116 (1987).
[CrossRef]

1984

N. Bekki and K. Nozaki, J. Phys. Soc. Jpn. 53, 1581 (1984).
[CrossRef]

Afanasjev, V. V.

N. N. Akhmediev, V. V. Afanasjev, and J. M. Soto-Crespo, Phys. Rev. E 53, 1190 (1996).
[CrossRef]

J. M. Soto-Crespo, N. N. Akhmediev, V. V. Afanasjev, and J. M. Soto-Crespo, J. Opt. Soc. Am. B 13, 1439 (1996).
[CrossRef]

N. N. Akhmediev and V. V. Afanasjev, Phys. Rev. Lett. 75, 2320 (1995).
[CrossRef] [PubMed]

Akhmediev, N. N.

J. M. Soto-Crespo, N. N. Akhmediev, V. V. Afanasjev, and J. M. Soto-Crespo, J. Opt. Soc. Am. B 13, 1439 (1996).
[CrossRef]

N. N. Akhmediev, V. V. Afanasjev, and J. M. Soto-Crespo, Phys. Rev. E 53, 1190 (1996).
[CrossRef]

N. N. Akhmediev and V. V. Afanasjev, Phys. Rev. Lett. 75, 2320 (1995).
[CrossRef] [PubMed]

Bekki, N.

N. Bekki and K. Nozaki, J. Phys. Soc. Jpn. 53, 1581 (1984).
[CrossRef]

Belangre, P.-A.

C. Paré, L. Gagnon, and P.-A. Belangre, Opt. Commun. 74, 228 (1989).
[CrossRef]

Carmon, T.

Cohen, O.

Ewbank, M. D.

R. A. Vazqez, M. D. Ewbank, and R. R. Neurgaonkar, Opt. Commun. 80, 235 (1991).

Gagnon, L.

C. Paré, L. Gagnon, and P.-A. Belangre, Opt. Commun. 74, 228 (1989).
[CrossRef]

Gibbs, H. M.

G. Khitrova, H. M. Gibbs, Y. Kawamura, H. Iwamura, T. Ikegami, J. E. Sipe, and L. Ming, Phys. Rev. Lett. 70, 920 (1993).
[CrossRef] [PubMed]

Ikegami, T.

G. Khitrova, H. M. Gibbs, Y. Kawamura, H. Iwamura, T. Ikegami, J. E. Sipe, and L. Ming, Phys. Rev. Lett. 70, 920 (1993).
[CrossRef] [PubMed]

Iwamura, H.

G. Khitrova, H. M. Gibbs, Y. Kawamura, H. Iwamura, T. Ikegami, J. E. Sipe, and L. Ming, Phys. Rev. Lett. 70, 920 (1993).
[CrossRef] [PubMed]

Kawamura, Y.

G. Khitrova, H. M. Gibbs, Y. Kawamura, H. Iwamura, T. Ikegami, J. E. Sipe, and L. Ming, Phys. Rev. Lett. 70, 920 (1993).
[CrossRef] [PubMed]

Khitrova, G.

G. Khitrova, H. M. Gibbs, Y. Kawamura, H. Iwamura, T. Ikegami, J. E. Sipe, and L. Ming, Phys. Rev. Lett. 70, 920 (1993).
[CrossRef] [PubMed]

Kukushkin, V. G.

V. G. Kukushkin, Sov. J. Quantum Electron. 17, 116 (1987).
[CrossRef]

Liu, L.

I. Oda, Y. Otani, L. Liu, and T. Yoshizawa, Opt. Commun. 148, 95 (1998).
[CrossRef]

Ming, L.

G. Khitrova, H. M. Gibbs, Y. Kawamura, H. Iwamura, T. Ikegami, J. E. Sipe, and L. Ming, Phys. Rev. Lett. 70, 920 (1993).
[CrossRef] [PubMed]

Neurgaonkar, R. R.

R. A. Vazqez, M. D. Ewbank, and R. R. Neurgaonkar, Opt. Commun. 80, 235 (1991).

Nozaki, K.

N. Bekki and K. Nozaki, J. Phys. Soc. Jpn. 53, 1581 (1984).
[CrossRef]

Oda, I.

I. Oda, Y. Otani, L. Liu, and T. Yoshizawa, Opt. Commun. 148, 95 (1998).
[CrossRef]

Odoulov, S.

Otani, Y.

I. Oda, Y. Otani, L. Liu, and T. Yoshizawa, Opt. Commun. 148, 95 (1998).
[CrossRef]

Paré, C.

C. Paré, L. Gagnon, and P.-A. Belangre, Opt. Commun. 74, 228 (1989).
[CrossRef]

Segev, M.

Sipe, J. E.

G. Khitrova, H. M. Gibbs, Y. Kawamura, H. Iwamura, T. Ikegami, J. E. Sipe, and L. Ming, Phys. Rev. Lett. 70, 920 (1993).
[CrossRef] [PubMed]

Soto-Crespo, J. M.

Vazqez, R. A.

R. A. Vazqez, M. D. Ewbank, and R. R. Neurgaonkar, Opt. Commun. 80, 235 (1991).

Yeh, P.

P. Yeh, IEEE J. Quantum Electron. 25, 484 (1989).
[CrossRef]

Yoshizawa, T.

I. Oda, Y. Otani, L. Liu, and T. Yoshizawa, Opt. Commun. 148, 95 (1998).
[CrossRef]

IEEE J. Quantum Electron.

P. Yeh, IEEE J. Quantum Electron. 25, 484 (1989).
[CrossRef]

J. Opt. Soc. Am. B

J. Phys. Soc. Jpn.

N. Bekki and K. Nozaki, J. Phys. Soc. Jpn. 53, 1581 (1984).
[CrossRef]

Opt. Commun.

C. Paré, L. Gagnon, and P.-A. Belangre, Opt. Commun. 74, 228 (1989).
[CrossRef]

I. Oda, Y. Otani, L. Liu, and T. Yoshizawa, Opt. Commun. 148, 95 (1998).
[CrossRef]

R. A. Vazqez, M. D. Ewbank, and R. R. Neurgaonkar, Opt. Commun. 80, 235 (1991).

Opt. Lett.

Phys. Rev. E

N. N. Akhmediev, V. V. Afanasjev, and J. M. Soto-Crespo, Phys. Rev. E 53, 1190 (1996).
[CrossRef]

Phys. Rev. Lett.

N. N. Akhmediev and V. V. Afanasjev, Phys. Rev. Lett. 75, 2320 (1995).
[CrossRef] [PubMed]

G. Khitrova, H. M. Gibbs, Y. Kawamura, H. Iwamura, T. Ikegami, J. E. Sipe, and L. Ming, Phys. Rev. Lett. 70, 920 (1993).
[CrossRef] [PubMed]

Sov. J. Quantum Electron.

V. G. Kukushkin, Sov. J. Quantum Electron. 17, 116 (1987).
[CrossRef]

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Figures (2)

Fig. 1
Fig. 1

Soliton width and peak intensity vary with E0. Parameters: 2θ=0.1°, α=0.39, x0=25 µm, λ0=0.5 µm, ne=2.35, n0=2.37, =880, γ13=47 pm/V, γ33=235 pm/V, NA=5×1017 cm-3, and T=300 K. (a) Bright solitons. (b) Dark solitons.

Fig. 2
Fig. 2

Simultaneous propagation of a DH bright soliton (intensity profiles). System parameters: α=0.415, g=0.434, g0=-58.6, and G=1.86×10-2. Soliton parameters: F=0.245, B=1.94, b=4.93×10-3, and ν=56.7.

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

12k2ϕx2+i cos θϕz+Γ0-i12ΓIpIp+Isϕ+i12α0ϕ=0,
iUξ+122Us2+g0-iGU-g0-igUU2=0,
Us,ξ=F sechBsexpib lnsechBsexp-iνξ,
Us,ξ=D tanhHsexpid lncoshHsexp-iΩξ,

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