We predict self-focusing and self-trapping of optical beams propagating in unbiased centrosymmetric photorefractive crystals in the near-transition paraelectric phase, where the nonlinear response is proportional to the square of the diffusion space-charge field.

© 1998 Optical Society of America

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  1. For an up-to-date bibliography see, e.g., B. Crosignani, P. Di Porto, A. Degasperis, M. Segev, and S. Trillo, J. Opt. Soc. Am. B 14, 3078 (1997).
  2. D. N. Christodoulides and T. H. Coskun, Opt. Lett. 21, 1460 (1996).
    [CrossRef] [PubMed]
  3. M. Segev and A. Agranat, Opt. Lett. 22, 1299 (1997).
  4. E. DelRe, B. Crosignani, M. Tamburrini, M. Segev, M. Mitchell, E. Refaeli, and A. Agranat, Opt. Lett. 23, 421 (1998).
  5. Y. Xu, Ferroelectric Materials and Their Applications (North-Holland, Amsterdam, 1991).
  6. A. Agranat, V. Leyva, and A. Yariv, Opt. Lett. 14, 1017 (1989).
    [CrossRef] [PubMed]
  7. A. Agranat, R. Hofmeister, and A. Yariv, Opt. Lett. 17, 713 (1992).
    [CrossRef] [PubMed]

1998 (1)

1997 (2)

1996 (1)

1992 (1)

1989 (1)

Agranat, A.

Christodoulides, D. N.

Coskun, T. H.

Crosignani, B.

Degasperis, A.

DelRe, E.

Di Porto, P.

Hofmeister, R.

Leyva, V.

Mitchell, M.

Refaeli, E.

Segev, M.

Tamburrini, M.

Trillo, S.

Xu, Y.

Y. Xu, Ferroelectric Materials and Their Applications (North-Holland, Amsterdam, 1991).

Yariv, A.

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Equations (9)

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Aξ, ζ=A0 expiϕξ, ζ1+16ζ2/μδ41/4 exp-ξ2δ21+16ζ2/μδ4×Hn2/μ1/2ξδ1+16ζ2/μδ41/2μ,
ϕξ, ζ=4ζξ2μδ41+16ζ2/μδ4-μ1/2×n+1/2arctan4ζ/μ1/2δ2.
Aξ, ζ=A0 exp-2i1+2nζ/δ2×exp-1+2nξ2/δ2.
Aξ, ζ=A0 exp-iηζξ+2ηζ2/3×Aiη/μ1/3ξ+ηζ2μ,
Aξ, ζ=A0 expiχξ-βζ×1coshβ/μ1/2ξ-2χζμ,
Aξ, ζ=A0 exp-iϕξ, ζ1-16ζ2/μδ41/4×exp-ξ2/δ21-16ζ2/μδ4,
ϕξ, ζ=4ζξ2μδ41-16ζ2/μδ4+μ1/24 lnδ2μ1/2+4ζδ2μ1/2-4ζ.