Abstract

The bending of a liquid interface by the radiation pressure of a cw laser wave is generally weak. To strongly enhance the coupling, we investigate lensing in a near-critical phase-separated liquid mixture. By continuously tuning the softness of the meniscus by varying the temperature, we observed huge stationary interface deformations at low beam power that led to an important variation of the resultant soft lensing. We also illustrate the crucial role played by temperature in this process to demonstrate its potential use in lens adaptation.

© 2001 Optical Society of America

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References

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  1. S. Sato, Opt. Rev. 6, 471 (1999).
    [CrossRef]
  2. M. Vallet, M. Vallade, and B. Berge, Eur. Phys. J. B 11, 583 (1999).
    [CrossRef]
  3. M. Vallet, M. Vallade, and B. Berge, Opt. Laser Europe 77, 9 (2000).
  4. C. Cinbis, N. N. Mansour, and B. T. Khuri-Yakub, J. Acoust. Soc. Am. 94, 2365 (1993).
    [CrossRef]
  5. S. A. Viznyuk and A. T. Sukhodol’skii, Sov. J. Quantum Electron. 18, 489 (1988).
    [CrossRef]
  6. A. Ashkin and J. M. Dziedzic, Phys. Rev. Lett. 30, 139 (1973).
    [CrossRef]
  7. A. V. Katz and V. M. Kontorovich, Sov. Phys. JETP 41, 346 (1975).
  8. I. I. Komissarova, G. V. Ostrovskaya, and E. N. Shedova, Opt. Commun. 66, 15 (1988).
    [CrossRef]
  9. J. C. Loulergue, Y. Lévy, and C. Imbert, Opt. Commun. 45, 149 (1983).
    [CrossRef]
  10. K. Sakai, D. Mizuno, and K. Takagi, Phys. Rev. E 63, 046302 (2001).
    [CrossRef]
  11. E. Freysz, E. Laffon, J. P. Delville, and A. Ducasse, Phys. Rev. E 49, 2141 (1994).
    [CrossRef]
  12. S. Buil, E. Hugonnot, and J. P. Delville, Phys. Rev. E 63, 041504 (2001).
    [CrossRef]
  13. I. Brevik, Phys. Rep. 52, 133 (1979).
    [CrossRef]
  14. M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, Oxford, 1987).
  15. H. M. Lai and K. Young, Phys. Rev. A 14, 2329 (1976).
    [CrossRef]

2001

K. Sakai, D. Mizuno, and K. Takagi, Phys. Rev. E 63, 046302 (2001).
[CrossRef]

S. Buil, E. Hugonnot, and J. P. Delville, Phys. Rev. E 63, 041504 (2001).
[CrossRef]

2000

M. Vallet, M. Vallade, and B. Berge, Opt. Laser Europe 77, 9 (2000).

1999

S. Sato, Opt. Rev. 6, 471 (1999).
[CrossRef]

M. Vallet, M. Vallade, and B. Berge, Eur. Phys. J. B 11, 583 (1999).
[CrossRef]

1994

E. Freysz, E. Laffon, J. P. Delville, and A. Ducasse, Phys. Rev. E 49, 2141 (1994).
[CrossRef]

1993

C. Cinbis, N. N. Mansour, and B. T. Khuri-Yakub, J. Acoust. Soc. Am. 94, 2365 (1993).
[CrossRef]

1988

S. A. Viznyuk and A. T. Sukhodol’skii, Sov. J. Quantum Electron. 18, 489 (1988).
[CrossRef]

I. I. Komissarova, G. V. Ostrovskaya, and E. N. Shedova, Opt. Commun. 66, 15 (1988).
[CrossRef]

1987

M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, Oxford, 1987).

1983

J. C. Loulergue, Y. Lévy, and C. Imbert, Opt. Commun. 45, 149 (1983).
[CrossRef]

1979

I. Brevik, Phys. Rep. 52, 133 (1979).
[CrossRef]

1976

H. M. Lai and K. Young, Phys. Rev. A 14, 2329 (1976).
[CrossRef]

1975

A. V. Katz and V. M. Kontorovich, Sov. Phys. JETP 41, 346 (1975).

1973

A. Ashkin and J. M. Dziedzic, Phys. Rev. Lett. 30, 139 (1973).
[CrossRef]

Ashkin, A.

A. Ashkin and J. M. Dziedzic, Phys. Rev. Lett. 30, 139 (1973).
[CrossRef]

Berge, B.

M. Vallet, M. Vallade, and B. Berge, Opt. Laser Europe 77, 9 (2000).

M. Vallet, M. Vallade, and B. Berge, Eur. Phys. J. B 11, 583 (1999).
[CrossRef]

Born, M.

M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, Oxford, 1987).

Brevik, I.

I. Brevik, Phys. Rep. 52, 133 (1979).
[CrossRef]

Buil, S.

S. Buil, E. Hugonnot, and J. P. Delville, Phys. Rev. E 63, 041504 (2001).
[CrossRef]

Cinbis, C.

C. Cinbis, N. N. Mansour, and B. T. Khuri-Yakub, J. Acoust. Soc. Am. 94, 2365 (1993).
[CrossRef]

Delville, J. P.

S. Buil, E. Hugonnot, and J. P. Delville, Phys. Rev. E 63, 041504 (2001).
[CrossRef]

E. Freysz, E. Laffon, J. P. Delville, and A. Ducasse, Phys. Rev. E 49, 2141 (1994).
[CrossRef]

Ducasse, A.

E. Freysz, E. Laffon, J. P. Delville, and A. Ducasse, Phys. Rev. E 49, 2141 (1994).
[CrossRef]

Dziedzic, J. M.

A. Ashkin and J. M. Dziedzic, Phys. Rev. Lett. 30, 139 (1973).
[CrossRef]

Freysz, E.

E. Freysz, E. Laffon, J. P. Delville, and A. Ducasse, Phys. Rev. E 49, 2141 (1994).
[CrossRef]

Hugonnot, E.

S. Buil, E. Hugonnot, and J. P. Delville, Phys. Rev. E 63, 041504 (2001).
[CrossRef]

Imbert, C.

J. C. Loulergue, Y. Lévy, and C. Imbert, Opt. Commun. 45, 149 (1983).
[CrossRef]

Katz, A. V.

A. V. Katz and V. M. Kontorovich, Sov. Phys. JETP 41, 346 (1975).

Khuri-Yakub, B. T.

C. Cinbis, N. N. Mansour, and B. T. Khuri-Yakub, J. Acoust. Soc. Am. 94, 2365 (1993).
[CrossRef]

Komissarova, I. I.

I. I. Komissarova, G. V. Ostrovskaya, and E. N. Shedova, Opt. Commun. 66, 15 (1988).
[CrossRef]

Kontorovich, V. M.

A. V. Katz and V. M. Kontorovich, Sov. Phys. JETP 41, 346 (1975).

Laffon, E.

E. Freysz, E. Laffon, J. P. Delville, and A. Ducasse, Phys. Rev. E 49, 2141 (1994).
[CrossRef]

Lai, H. M.

H. M. Lai and K. Young, Phys. Rev. A 14, 2329 (1976).
[CrossRef]

Lévy, Y.

J. C. Loulergue, Y. Lévy, and C. Imbert, Opt. Commun. 45, 149 (1983).
[CrossRef]

Loulergue, J. C.

J. C. Loulergue, Y. Lévy, and C. Imbert, Opt. Commun. 45, 149 (1983).
[CrossRef]

Mansour, N. N.

C. Cinbis, N. N. Mansour, and B. T. Khuri-Yakub, J. Acoust. Soc. Am. 94, 2365 (1993).
[CrossRef]

Mizuno, D.

K. Sakai, D. Mizuno, and K. Takagi, Phys. Rev. E 63, 046302 (2001).
[CrossRef]

Ostrovskaya, G. V.

I. I. Komissarova, G. V. Ostrovskaya, and E. N. Shedova, Opt. Commun. 66, 15 (1988).
[CrossRef]

Sakai, K.

K. Sakai, D. Mizuno, and K. Takagi, Phys. Rev. E 63, 046302 (2001).
[CrossRef]

Sato, S.

S. Sato, Opt. Rev. 6, 471 (1999).
[CrossRef]

Shedova, E. N.

I. I. Komissarova, G. V. Ostrovskaya, and E. N. Shedova, Opt. Commun. 66, 15 (1988).
[CrossRef]

Sukhodol'skii, A. T.

S. A. Viznyuk and A. T. Sukhodol’skii, Sov. J. Quantum Electron. 18, 489 (1988).
[CrossRef]

Takagi, K.

K. Sakai, D. Mizuno, and K. Takagi, Phys. Rev. E 63, 046302 (2001).
[CrossRef]

Vallade, M.

M. Vallet, M. Vallade, and B. Berge, Opt. Laser Europe 77, 9 (2000).

M. Vallet, M. Vallade, and B. Berge, Eur. Phys. J. B 11, 583 (1999).
[CrossRef]

Vallet, M.

M. Vallet, M. Vallade, and B. Berge, Opt. Laser Europe 77, 9 (2000).

M. Vallet, M. Vallade, and B. Berge, Eur. Phys. J. B 11, 583 (1999).
[CrossRef]

Viznyuk, S. A.

S. A. Viznyuk and A. T. Sukhodol’skii, Sov. J. Quantum Electron. 18, 489 (1988).
[CrossRef]

Wolf, E.

M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, Oxford, 1987).

Young, K.

H. M. Lai and K. Young, Phys. Rev. A 14, 2329 (1976).
[CrossRef]

Eur. Phys. J. B

M. Vallet, M. Vallade, and B. Berge, Eur. Phys. J. B 11, 583 (1999).
[CrossRef]

J. Acoust. Soc. Am.

C. Cinbis, N. N. Mansour, and B. T. Khuri-Yakub, J. Acoust. Soc. Am. 94, 2365 (1993).
[CrossRef]

Opt. Commun.

I. I. Komissarova, G. V. Ostrovskaya, and E. N. Shedova, Opt. Commun. 66, 15 (1988).
[CrossRef]

J. C. Loulergue, Y. Lévy, and C. Imbert, Opt. Commun. 45, 149 (1983).
[CrossRef]

Opt. Laser Europe

M. Vallet, M. Vallade, and B. Berge, Opt. Laser Europe 77, 9 (2000).

Opt. Rev.

S. Sato, Opt. Rev. 6, 471 (1999).
[CrossRef]

Phys. Rep.

I. Brevik, Phys. Rep. 52, 133 (1979).
[CrossRef]

Phys. Rev. A

H. M. Lai and K. Young, Phys. Rev. A 14, 2329 (1976).
[CrossRef]

Phys. Rev. E

K. Sakai, D. Mizuno, and K. Takagi, Phys. Rev. E 63, 046302 (2001).
[CrossRef]

E. Freysz, E. Laffon, J. P. Delville, and A. Ducasse, Phys. Rev. E 49, 2141 (1994).
[CrossRef]

S. Buil, E. Hugonnot, and J. P. Delville, Phys. Rev. E 63, 041504 (2001).
[CrossRef]

Phys. Rev. Lett.

A. Ashkin and J. M. Dziedzic, Phys. Rev. Lett. 30, 139 (1973).
[CrossRef]

Sov. J. Quantum Electron.

S. A. Viznyuk and A. T. Sukhodol’skii, Sov. J. Quantum Electron. 18, 489 (1988).
[CrossRef]

Sov. Phys. JETP

A. V. Katz and V. M. Kontorovich, Sov. Phys. JETP 41, 346 (1975).

Other

M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, Oxford, 1987).

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Figures (4)

Fig. 1
Fig. 1

Optical deformation of the meniscus of a phase-separated liquid mixture induced by radiation pressure. The cw laser beam is represented by the arrows. ϱ1 and n1 (ϱ2 and n2) are the density and the refractive index of the lower (upper) coexisting Phase Φ1 Φ2. g represents the gravity field.

Fig. 2
Fig. 2

Variation of optical bending for increasing beam power. The profiles (open circles) are obtained according to Eq.  (3). The control parameters are ω0=7.5 μm and T-TC=8 K.

Fig. 3
Fig. 3

Variation of focal length induced by optical bending versus temperature. The curves represent predictions from Eq.  (4). The control parameters are listed.

Fig. 4
Fig. 4

Variation of focal length induced by optical bending versus beam intensity. The dashed curve is the fit from Eq.  (4). Inset, log–log plot of the same data; the measured slope is -1.15 instead of -1. The control parameters are T-TC=1.5 K and values of ω0 (in micrometers of) 14.6Δ, 18.3(), 21.2,25.3,29.3, and 32.1 μm.

Equations (4)

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ϱ1-ϱ2ghr-σ2hr=2n1cn1-n2n1+n2Ir,
1f=n2-n12n22hr=0.
hr=n1-n2ϱ1-ϱ2P2πcg0J0krexp-k2ω02/81+k2lC2kdk,
1f=n2-n12n2hr=0lC21-gω028lC2-1=n2-n122n2Ir=0cσ1-Gω028lC2.

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