Abstract

Characteristic features of the formation of cylindrical laser-induced thermal steady-state lenses in the dark stripes associated with spatial dark-soliton propagation are analyzed and verified experimentally in an ethanol–dye solution. Positive focusing power perpendicular to the dark stripe is ensured by defocusing along the axis of this stripe and depends strongly on the shape of the light-beam profile and the orientation of the dark stripe within it.

© 1996 Optical Society of America

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References

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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]

1995 (1)

M. D. Iturbe Castillo, J. J. Sánchez-Mondragón, S. I. Stepanov, Optik 100, 49 (1995).

1993 (2)

1992 (3)

1991 (1)

G. A. Swartzlander, D. R. Anderson, J. J. Regan, H. Yin, A. Kaplan, Phys. Rev. Lett. 66, 1583 (1991).
[CrossRef] [PubMed]

1990 (2)

D. R. Anderson, D. E. Hooton, G. A. Swartzlander, A. Kaplan, Opt. Lett. 15, 783 (1990).
[CrossRef]

M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990).
[CrossRef]

1989 (1)

1982 (1)

1973 (1)

1969 (1)

R. L. Carman, A. Mooradian, P. L. Kelly, A. Tufts, Appl. Phys. Lett. 14, 136 (1969).
[CrossRef]

1967 (1)

J. R. Winnery, D. T. Miller, F. Dabby, IEEE J. Quantum Electron. 3, 382 (1967).
[CrossRef]

1966 (2)

K. E. Rieckhoff, Appl. Phys. Lett. 9, 87 (1966).
[CrossRef]

A. G. Litvak, JETP Lett. 4, 230 (1966).

1965 (1)

J. P. Gordon, R. C. C. Leite, R. S. Moore, S. P. S. Porto, J. R. Whinnery, J. Appl. Phys. 36, 3 (1965).
[CrossRef]

Anderson, D. R.

G. A. Swartzlander, D. R. Anderson, J. J. Regan, H. Yin, A. Kaplan, Phys. Rev. Lett. 66, 1583 (1991).
[CrossRef] [PubMed]

D. R. Anderson, D. E. Hooton, G. A. Swartzlander, A. Kaplan, Opt. Lett. 15, 783 (1990).
[CrossRef]

Carman, R. L.

R. L. Carman, A. Mooradian, P. L. Kelly, A. Tufts, Appl. Phys. Lett. 14, 136 (1969).
[CrossRef]

Dabby, F.

J. R. Winnery, D. T. Miller, F. Dabby, IEEE J. Quantum Electron. 3, 382 (1967).
[CrossRef]

Gordon, J. P.

J. P. Gordon, R. C. C. Leite, R. S. Moore, S. P. S. Porto, J. R. Whinnery, J. Appl. Phys. 36, 3 (1965).
[CrossRef]

Hagan, D. J.

M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990).
[CrossRef]

Hooton, D. E.

Hu, C.

Iturbe Castillo, M. D.

M. D. Iturbe Castillo, J. J. Sánchez-Mondragón, S. I. Stepanov, Optik 100, 49 (1995).

Kaplan, A.

G. A. Swartzlander, D. R. Anderson, J. J. Regan, H. Yin, A. Kaplan, Phys. Rev. Lett. 66, 1583 (1991).
[CrossRef] [PubMed]

D. R. Anderson, D. E. Hooton, G. A. Swartzlander, A. Kaplan, Opt. Lett. 15, 783 (1990).
[CrossRef]

Kelly, P. L.

R. L. Carman, A. Mooradian, P. L. Kelly, A. Tufts, Appl. Phys. Lett. 14, 136 (1969).
[CrossRef]

Knight, L. V.

Law, C. T.

G. A. Swartzlander, C. T. Law, Phys. Rev. Lett. 69, 2503 (1992).
[CrossRef] [PubMed]

Leite, R. C. C.

J. P. Gordon, R. C. C. Leite, R. S. Moore, S. P. S. Porto, J. R. Whinnery, J. Appl. Phys. 36, 3 (1965).
[CrossRef]

Li, J.

Litvak, A. G.

A. G. Litvak, JETP Lett. 4, 230 (1966).

Luther-Davies, B.

Miller, D. T.

J. R. Winnery, D. T. Miller, F. Dabby, IEEE J. Quantum Electron. 3, 382 (1967).
[CrossRef]

Mooradian, A.

R. L. Carman, A. Mooradian, P. L. Kelly, A. Tufts, Appl. Phys. Lett. 14, 136 (1969).
[CrossRef]

Moore, R. S.

J. P. Gordon, R. C. C. Leite, R. S. Moore, S. P. S. Porto, J. R. Whinnery, J. Appl. Phys. 36, 3 (1965).
[CrossRef]

Porto, S. P. S.

J. P. Gordon, R. C. C. Leite, R. S. Moore, S. P. S. Porto, J. R. Whinnery, J. Appl. Phys. 36, 3 (1965).
[CrossRef]

Regan, J. J.

G. A. Swartzlander, D. R. Anderson, J. J. Regan, H. Yin, A. Kaplan, Phys. Rev. Lett. 66, 1583 (1991).
[CrossRef] [PubMed]

Rieckhoff, K. E.

K. E. Rieckhoff, Appl. Phys. Lett. 9, 87 (1966).
[CrossRef]

Said, A. A.

M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990).
[CrossRef]

M. Sheik-Bahae, A. A. Said, E. W. Van Stryland, Opt. Lett. 14, 955 (1989).
[CrossRef] [PubMed]

Sánchez-Mondragón, J. J.

M. D. Iturbe Castillo, J. J. Sánchez-Mondragón, S. I. Stepanov, Optik 100, 49 (1995).

Sheik-Bahae, M.

M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990).
[CrossRef]

M. Sheik-Bahae, A. A. Said, E. W. Van Stryland, Opt. Lett. 14, 955 (1989).
[CrossRef] [PubMed]

Sheldon, S. J.

Stepanov, S. I.

M. D. Iturbe Castillo, J. J. Sánchez-Mondragón, S. I. Stepanov, Optik 100, 49 (1995).

Swartzlander, G. A.

G. A. Swartzlander, C. T. Law, Phys. Rev. Lett. 69, 2503 (1992).
[CrossRef] [PubMed]

G. A. Swartzlander, D. R. Anderson, J. J. Regan, H. Yin, A. Kaplan, Phys. Rev. Lett. 66, 1583 (1991).
[CrossRef] [PubMed]

D. R. Anderson, D. E. Hooton, G. A. Swartzlander, A. Kaplan, Opt. Lett. 15, 783 (1990).
[CrossRef]

Thorne, J. M.

Tian, J. G.

Tufts, A.

R. L. Carman, A. Mooradian, P. L. Kelly, A. Tufts, Appl. Phys. Lett. 14, 136 (1969).
[CrossRef]

Van Stryland, E. W.

M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990).
[CrossRef]

M. Sheik-Bahae, A. A. Said, E. W. Van Stryland, Opt. Lett. 14, 955 (1989).
[CrossRef] [PubMed]

Wei, T. H.

M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990).
[CrossRef]

Whinnery, J. R.

C. Hu, J. R. Whinnery, Appl. Opt. 12, 72 (1973).
[CrossRef] [PubMed]

J. P. Gordon, R. C. C. Leite, R. S. Moore, S. P. S. Porto, J. R. Whinnery, J. Appl. Phys. 36, 3 (1965).
[CrossRef]

Winnery, J. R.

J. R. Winnery, D. T. Miller, F. Dabby, IEEE J. Quantum Electron. 3, 382 (1967).
[CrossRef]

Yang, X.

Yin, H.

G. A. Swartzlander, D. R. Anderson, J. J. Regan, H. Yin, A. Kaplan, Phys. Rev. Lett. 66, 1583 (1991).
[CrossRef] [PubMed]

Zhang, C.

Zhang, G.

Appl. Opt. (3)

Appl. Phys. Lett. (2)

K. E. Rieckhoff, Appl. Phys. Lett. 9, 87 (1966).
[CrossRef]

R. L. Carman, A. Mooradian, P. L. Kelly, A. Tufts, Appl. Phys. Lett. 14, 136 (1969).
[CrossRef]

IEEE J. Quantum Electron. (3)

Yu. Kivshar, IEEE J. Quantum Electron. 29, 250 (1993).

J. R. Winnery, D. T. Miller, F. Dabby, IEEE J. Quantum Electron. 3, 382 (1967).
[CrossRef]

M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990).
[CrossRef]

J. Appl. Phys. (1)

J. P. Gordon, R. C. C. Leite, R. S. Moore, S. P. S. Porto, J. R. Whinnery, J. Appl. Phys. 36, 3 (1965).
[CrossRef]

JETP Lett. (1)

A. G. Litvak, JETP Lett. 4, 230 (1966).

Opt. Lett. (4)

Optik (1)

M. D. Iturbe Castillo, J. J. Sánchez-Mondragón, S. I. Stepanov, Optik 100, 49 (1995).

Phys. Rev. Lett. (2)

G. A. Swartzlander, D. R. Anderson, J. J. Regan, H. Yin, A. Kaplan, Phys. Rev. Lett. 66, 1583 (1991).
[CrossRef] [PubMed]

G. A. Swartzlander, C. T. Law, Phys. Rev. Lett. 69, 2503 (1992).
[CrossRef] [PubMed]

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Figures (3)

Fig. 1
Fig. 1

Light intensity and resulting temperature profiles in a 1D steady-state problem.

Fig. 2
Fig. 2

A, B, Two orthogonal orientations of the dark stripe in a 1D light intensity profile (l, longitudinal; t, transverse). C, D, Two typical orientations of the dark stripe in a circular 2D light intensity profile. (In all figures the field of view is limited by some external circle, and the direction of the light propagation is that of the z axis).

Fig. 3
Fig. 3

Normalized width of the output dark stripe with an initial π rad phase jump versus total input laser-beam power for two orthogonal orientations of the dark stripe. (Ethanol–Pyrocatechol Violet solution, λ = 532 nm, input laser beam with approximately 1.5 mm × 0.3 mm elliptical cross section, input dark stripe width ~100 μm.)

Equations (5)

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

Δ T ( x , y ) = ( 2 x 2 + 2 y 2 ) T ( x , y ) = αI ( x , y ) k .
T ( x ) = ( α I 0 / 2 k ) ( x 2 + r 0 2 2 R 0 r 0 ) ,
F = k ( n / T ) α I 0 L ,
( 2 x 2 + 2 y 2 ) T ( x , y ) = 0 .
a 0 = ( k 2 | n / T | α I 0 K 2 ) 1 / 4 .

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