Abstract

We show that the spatial coherence of a partially incoherent light beam can be greatly enhanced through an energy-conserving interaction with an incoherent or a coherent dark spatial soliton. Computer simulations show that during this process a portion of the incoherent beam is trapped within the dark notch of the dark soliton, thus forming a sharp intensity spike. In this region the correlation length dramatically increases by at least 2 orders of magnitude.

© 2000 Optical Society of America

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References

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1999 (1)

K. Burnett, M. Edwards, and C. W. Clark, Phys. Today 52(12), 37 (1999).
[CrossRef]

1998 (4)

D. N. Christodoulides, T. H. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 80, 2310 (1998).
[CrossRef]

Z. Chen, M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Science 280, 889 (1998); Z. Chen, M. Segev, D. N. Christodoulides, and R. S. Feigelson, Opt. Lett. 24, 1160 (1999).
[CrossRef] [PubMed]

T. H. Coskun, D. N. Christodoulides, M. Mitchell, Z. Chen, and M. Segev, Opt. Lett. 23, 418 (1998).
[CrossRef]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 80, 5113 (1998).
[CrossRef]

1997 (2)

M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Phys. Rev. Lett. 79, 4990 (1997).
[CrossRef]

M. F. Shih, Z. Chen, M. Mitchell, M. Segev, H. Lee, R. S. Feigelson, and J. P. Wilde, J. Opt. Soc. Am. B 14, 3091 (1997).
[CrossRef]

1995 (1)

1994 (1)

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

1993 (1)

1992 (1)

Bogodaev, N. V.

Burnett, K.

K. Burnett, M. Edwards, and C. W. Clark, Phys. Today 52(12), 37 (1999).
[CrossRef]

Carvalho, M. I.

Chen, Z.

D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 80, 5113 (1998).
[CrossRef]

T. H. Coskun, D. N. Christodoulides, M. Mitchell, Z. Chen, and M. Segev, Opt. Lett. 23, 418 (1998).
[CrossRef]

Z. Chen, M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Science 280, 889 (1998); Z. Chen, M. Segev, D. N. Christodoulides, and R. S. Feigelson, Opt. Lett. 24, 1160 (1999).
[CrossRef] [PubMed]

M. F. Shih, Z. Chen, M. Mitchell, M. Segev, H. Lee, R. S. Feigelson, and J. P. Wilde, J. Opt. Soc. Am. B 14, 3091 (1997).
[CrossRef]

Christodoulides, D. N.

D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 80, 5113 (1998).
[CrossRef]

T. H. Coskun, D. N. Christodoulides, M. Mitchell, Z. Chen, and M. Segev, Opt. Lett. 23, 418 (1998).
[CrossRef]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 80, 2310 (1998).
[CrossRef]

Z. Chen, M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Science 280, 889 (1998); Z. Chen, M. Segev, D. N. Christodoulides, and R. S. Feigelson, Opt. Lett. 24, 1160 (1999).
[CrossRef] [PubMed]

M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Phys. Rev. Lett. 79, 4990 (1997).
[CrossRef]

D. N. Christodoulides and M. I. Carvalho, J. Opt. Soc. Am. B 12, 1628 (1995).
[CrossRef]

Clark, C. W.

K. Burnett, M. Edwards, and C. W. Clark, Phys. Today 52(12), 37 (1999).
[CrossRef]

Coskun, T. H.

Z. Chen, M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Science 280, 889 (1998); Z. Chen, M. Segev, D. N. Christodoulides, and R. S. Feigelson, Opt. Lett. 24, 1160 (1999).
[CrossRef] [PubMed]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 80, 2310 (1998).
[CrossRef]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 80, 5113 (1998).
[CrossRef]

T. H. Coskun, D. N. Christodoulides, M. Mitchell, Z. Chen, and M. Segev, Opt. Lett. 23, 418 (1998).
[CrossRef]

M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Phys. Rev. Lett. 79, 4990 (1997).
[CrossRef]

Cronin-Golomb, M.

Crosignani, B.

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

DiPorto, P.

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

Eberly, J. H.

P. W. Milonni and J. H. Eberly, Lasers (Wiley, New York, 1988).

Edwards, M.

K. Burnett, M. Edwards, and C. W. Clark, Phys. Today 52(12), 37 (1999).
[CrossRef]

Feigelson, R. S.

Ivleva, L. I.

Kong, H.

Korshunov, A. S.

Krolikowski, W.

Lee, H.

Mandel, L.

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, New York, 1995).
[CrossRef]

Milonni, P. W.

P. W. Milonni and J. H. Eberly, Lasers (Wiley, New York, 1988).

Mitchell, M.

T. H. Coskun, D. N. Christodoulides, M. Mitchell, Z. Chen, and M. Segev, Opt. Lett. 23, 418 (1998).
[CrossRef]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 80, 5113 (1998).
[CrossRef]

Z. Chen, M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Science 280, 889 (1998); Z. Chen, M. Segev, D. N. Christodoulides, and R. S. Feigelson, Opt. Lett. 24, 1160 (1999).
[CrossRef] [PubMed]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 80, 2310 (1998).
[CrossRef]

M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Phys. Rev. Lett. 79, 4990 (1997).
[CrossRef]

M. F. Shih, Z. Chen, M. Mitchell, M. Segev, H. Lee, R. S. Feigelson, and J. P. Wilde, J. Opt. Soc. Am. B 14, 3091 (1997).
[CrossRef]

Polozkov, N. M.

Segev, M.

T. H. Coskun, D. N. Christodoulides, M. Mitchell, Z. Chen, and M. Segev, Opt. Lett. 23, 418 (1998).
[CrossRef]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 80, 5113 (1998).
[CrossRef]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 80, 2310 (1998).
[CrossRef]

Z. Chen, M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Science 280, 889 (1998); Z. Chen, M. Segev, D. N. Christodoulides, and R. S. Feigelson, Opt. Lett. 24, 1160 (1999).
[CrossRef] [PubMed]

M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Phys. Rev. Lett. 79, 4990 (1997).
[CrossRef]

M. F. Shih, Z. Chen, M. Mitchell, M. Segev, H. Lee, R. S. Feigelson, and J. P. Wilde, J. Opt. Soc. Am. B 14, 3091 (1997).
[CrossRef]

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

Shih, M. F.

Shkunov, V. V.

Valley, G. C.

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

Wilde, J. P.

Wolf, E.

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, New York, 1995).
[CrossRef]

Yariv, A.

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

J. Opt. Soc. Am. B (4)

Opt. Lett. (1)

Phys. Rev. Lett. (4)

D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 80, 5113 (1998).
[CrossRef]

M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Phys. Rev. Lett. 79, 4990 (1997).
[CrossRef]

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 80, 2310 (1998).
[CrossRef]

Phys. Today (1)

K. Burnett, M. Edwards, and C. W. Clark, Phys. Today 52(12), 37 (1999).
[CrossRef]

Science (1)

Z. Chen, M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Science 280, 889 (1998); Z. Chen, M. Segev, D. N. Christodoulides, and R. S. Feigelson, Opt. Lett. 24, 1160 (1999).
[CrossRef] [PubMed]

Other (2)

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, New York, 1995).
[CrossRef]

P. W. Milonni and J. H. Eberly, Lasers (Wiley, New York, 1988).

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Figures (3)

Fig. 1
Fig. 1

(a) Evolution of the intensity profile of a bright signal beam and (b) its correlation length when it copropagates with a dark coherent spatial soliton in a biased photorefractive crystal. (c) Dashed curve, input and solid curve, output at z=6 mm intensities of the incoherent bright signal beam and (d) its correlation length after 6 mm of propagation.

Fig. 2
Fig. 2

Propagation dynamics of the first four modes that constitute a multimode incoherent bright Gaussian-Schell signal beam when it copropagates with a coherent dark soliton. Evolution of the (a) first, (b) second, (c) third, and (d) fourth modes.

Fig. 3
Fig. 3

(a) Dashed curve, input and solid curve, output at z=6 mm intensities of an incoherent bright beam and (b) its correlation length (in micrometers) after 6 mm of propagation when it copropagates with an incoherent dark soliton.

Equations (4)

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ifz+θfx+12k2fx2+k02ne3r33E01+ρf1+INx,z=0,
igz+θgx+12k2gx2+k02ne3r33E01+ρg1+INx,z=0,
INx,z=INB+IND=-fx,z,θ2+gx,z,θ2dθ,
lcx,z=--+fx,z,θf*x,z,θexpikθx-xdθINBx,zINBx,z1/22dx.

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