Abstract

Degenerate four-wave mixing is demonstrated using an artificial Kerr medium and is evidenced by directly observing the phase conjugation of a vortex signal beam. The nonlinear susceptibility is produced by a refractive index grating created in a suspension of dielectric microscopic particles optically confined in the intensity grating distribution of two interfering laser beams.

© 2007 Optical Society of America

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References

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  1. R. W. Hellwarth, “Generation of time-reversed wave fronts by nonlinear refraction,” J. Opt. Soc. Am. 67, 1–3 (1977).
    [Crossref]
  2. D. M. Bloom and G. C. Bjorklund, “Conjugate wave-front generation and image reconstruction by four-wave mixing,” Appl. Phys. Lett. 31, 592–594 (1977).
    [Crossref]
  3. A. Yariv and D. M. Pepper, “Amplified reflection, phase conjugation, and oscillation in degenerate four-wave mixing,” Opt. Lett. 1, 16–18 (1977).
    [Crossref] [PubMed]
  4. S. M. Jensen and R. W. Hellwarth, “Observation of the time-reversed replica of a monochromatic optical wave,” Appl. Phys. Lett. 32, 166–168 (1978).
    [Crossref]
  5. M. Cronin-Golomb, J. O. White, B. Fischer, and A. Yariv, “Exact solution of a nonlinear model of four-wave mixing and phase conjugation,” Opt. Lett. 7, 313–315 (1982).
    [Crossref] [PubMed]
  6. P. F. Liao, D. M. Bloom, and N. P. Economou, “CW optical wave-front conjugation by saturated absorption in atomic sodium vapor,” App. Phys. Lett. 32, 813–815 (1978).
    [Crossref]
  7. T. Mikropoulos, S. Cohen, M. Kompitsas, S. Goutis, and C. Baharis, “Phase conjugation by degenerate four-wave mixing in barium vapor,” Opt. Lett. 15, 1270–1272 (1990).
    [Crossref] [PubMed]
  8. P. F. Liao and D. M. Bloom, “Continuous-wave backward-wave generation by degenerate four-wave mixing in ruby,” Opt. Lett. 3, 4–6 (1978).
    [Crossref] [PubMed]
  9. E. Freysz, E. Laffon, and A. Ducasse, “Phase conjugation used as a test of the local and nonlocal characteristics of optical nonlinearities in microemulsions,” Opt. Lett. 16, 1644–1646 (1991).
    [Crossref] [PubMed]
  10. D. Fekete, J. C. Auyeung, and A. Yariv, “Phase-conjugate reflection by degenerate four-wave mixing in a nematic liquid crystal in the isotropic phase,” Opt. Lett. 5, 51–53 (1980).
    [Crossref] [PubMed]
  11. J. W. R. Tabosa and D. V. Petrov, “Optical pumping of orbital angular momentum of light in cold cesium atoms,” Phys. Rev. Lett. 83, 4967–4970 (1999).
    [Crossref]
  12. S. Barreiro and J. W. R. Tabosa, “Generation of Light Carrying Orbital Angular Momentum via Induced Coherence Grating in Cold Atoms,” Phys. Rev. Lett. 90, 133001 (2003).
    [Crossref] [PubMed]
  13. S. Barreiro, J. W. R. Tabosa, J. P. Torres, Y. Deyanova, and L. Torner, “Four-wave mixing of light beams with engineered orbital angular momentum in cold cesium atoms,” Opt. Lett. 29, 1515–1517 (2004).
    [Crossref] [PubMed]
  14. P. W. Smith, A. Ashkin, and W. J. Tomlinson, “Four-wave mixing in an artificial Kerr medium,” Opt. Lett. 6, 284–286 (1981).
    [Crossref] [PubMed]
  15. P. W. Smith, P. J. Maloney, and A. Ashkin, “Use of a liquid suspension of dielectric spheres as an artificial Kerr medium,” Opt. Lett. 7, 347–349 (1982).
    [Crossref] [PubMed]
  16. A. E. Neeves and M. H. Birnboim, “Polarization selective optical phase conjugation in a Kerr-like medium,” J. Opt. Soc. Am. B. 5, 701–708 (1988).
    [Crossref]
  17. R. Pizzoferrato, M. De Spirito, U. Zammit, M. Marinelli, F. Scudieri, and S. Martelluci, “Optical phase conjugation through translational and rotational diffusive rearrangements of liquid-dispersed microparticles,” Phys. Rev. A 41, 2882–2885 (1990).
    [Crossref] [PubMed]
  18. L. Allen, M. W. Bijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45, 8185–8189 (1992).
    [Crossref] [PubMed]
  19. A. Chowdhury, B. J. Ackerson, and N. A. Clark, “Laser-induced freezing,” Phys. Rev. Lett. 55, 833–836 (1985).
    [Crossref] [PubMed]
  20. N. R. Heckenberg, R. McDuff, C. P Smith, H. Rubinsztein-Dunlop, and M. J. Wegener, “Laser beams with phase singularities,” Opt. Quantum Elect. 24, S951–S962 (1992)
    [Crossref]
  21. M. Harris, C. A. Hill, and J. M. Vaughan, “Laser modes with helical wave fronts, ” Phys. Rev. A 49, 3119–3122 (1994).
    [Crossref] [PubMed]
  22. I. G. Marienko, M. S. Soskin, and M. V. Vasnetsov, “Phase conjugation of wavefronts containing phase singularities,” Proc. SPIE 3487, 39–41 (1998).
    [Crossref]
  23. W. Jiang, Q. Chen, Y. Zhang, and G.-C. Guo, “Computation of topological charges of optical vortices via nonde-generate four-wave mixing,” Phys. Rev. A 74, 043811 (2006).
    [Crossref]
  24. W. Loose and B.J Ackerson, “Model calculations for the analysis of scattering data from layered structures,” J. Chem. Phys. 101, 7211–7220 (1994).
    [Crossref]

2006 (1)

W. Jiang, Q. Chen, Y. Zhang, and G.-C. Guo, “Computation of topological charges of optical vortices via nonde-generate four-wave mixing,” Phys. Rev. A 74, 043811 (2006).
[Crossref]

2004 (1)

2003 (1)

S. Barreiro and J. W. R. Tabosa, “Generation of Light Carrying Orbital Angular Momentum via Induced Coherence Grating in Cold Atoms,” Phys. Rev. Lett. 90, 133001 (2003).
[Crossref] [PubMed]

1999 (1)

J. W. R. Tabosa and D. V. Petrov, “Optical pumping of orbital angular momentum of light in cold cesium atoms,” Phys. Rev. Lett. 83, 4967–4970 (1999).
[Crossref]

1998 (1)

I. G. Marienko, M. S. Soskin, and M. V. Vasnetsov, “Phase conjugation of wavefronts containing phase singularities,” Proc. SPIE 3487, 39–41 (1998).
[Crossref]

1994 (2)

W. Loose and B.J Ackerson, “Model calculations for the analysis of scattering data from layered structures,” J. Chem. Phys. 101, 7211–7220 (1994).
[Crossref]

M. Harris, C. A. Hill, and J. M. Vaughan, “Laser modes with helical wave fronts, ” Phys. Rev. A 49, 3119–3122 (1994).
[Crossref] [PubMed]

1992 (2)

N. R. Heckenberg, R. McDuff, C. P Smith, H. Rubinsztein-Dunlop, and M. J. Wegener, “Laser beams with phase singularities,” Opt. Quantum Elect. 24, S951–S962 (1992)
[Crossref]

L. Allen, M. W. Bijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45, 8185–8189 (1992).
[Crossref] [PubMed]

1991 (1)

1990 (2)

T. Mikropoulos, S. Cohen, M. Kompitsas, S. Goutis, and C. Baharis, “Phase conjugation by degenerate four-wave mixing in barium vapor,” Opt. Lett. 15, 1270–1272 (1990).
[Crossref] [PubMed]

R. Pizzoferrato, M. De Spirito, U. Zammit, M. Marinelli, F. Scudieri, and S. Martelluci, “Optical phase conjugation through translational and rotational diffusive rearrangements of liquid-dispersed microparticles,” Phys. Rev. A 41, 2882–2885 (1990).
[Crossref] [PubMed]

1988 (1)

A. E. Neeves and M. H. Birnboim, “Polarization selective optical phase conjugation in a Kerr-like medium,” J. Opt. Soc. Am. B. 5, 701–708 (1988).
[Crossref]

1985 (1)

A. Chowdhury, B. J. Ackerson, and N. A. Clark, “Laser-induced freezing,” Phys. Rev. Lett. 55, 833–836 (1985).
[Crossref] [PubMed]

1982 (2)

1981 (1)

1980 (1)

1978 (3)

P. F. Liao and D. M. Bloom, “Continuous-wave backward-wave generation by degenerate four-wave mixing in ruby,” Opt. Lett. 3, 4–6 (1978).
[Crossref] [PubMed]

P. F. Liao, D. M. Bloom, and N. P. Economou, “CW optical wave-front conjugation by saturated absorption in atomic sodium vapor,” App. Phys. Lett. 32, 813–815 (1978).
[Crossref]

S. M. Jensen and R. W. Hellwarth, “Observation of the time-reversed replica of a monochromatic optical wave,” Appl. Phys. Lett. 32, 166–168 (1978).
[Crossref]

1977 (3)

Ackerson, B. J.

A. Chowdhury, B. J. Ackerson, and N. A. Clark, “Laser-induced freezing,” Phys. Rev. Lett. 55, 833–836 (1985).
[Crossref] [PubMed]

Ackerson, B.J

W. Loose and B.J Ackerson, “Model calculations for the analysis of scattering data from layered structures,” J. Chem. Phys. 101, 7211–7220 (1994).
[Crossref]

Allen, L.

L. Allen, M. W. Bijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45, 8185–8189 (1992).
[Crossref] [PubMed]

Ashkin, A.

Auyeung, J. C.

Baharis, C.

Barreiro, S.

S. Barreiro, J. W. R. Tabosa, J. P. Torres, Y. Deyanova, and L. Torner, “Four-wave mixing of light beams with engineered orbital angular momentum in cold cesium atoms,” Opt. Lett. 29, 1515–1517 (2004).
[Crossref] [PubMed]

S. Barreiro and J. W. R. Tabosa, “Generation of Light Carrying Orbital Angular Momentum via Induced Coherence Grating in Cold Atoms,” Phys. Rev. Lett. 90, 133001 (2003).
[Crossref] [PubMed]

Bijersbergen, M. W.

L. Allen, M. W. Bijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45, 8185–8189 (1992).
[Crossref] [PubMed]

Birnboim, M. H.

A. E. Neeves and M. H. Birnboim, “Polarization selective optical phase conjugation in a Kerr-like medium,” J. Opt. Soc. Am. B. 5, 701–708 (1988).
[Crossref]

Bjorklund, G. C.

D. M. Bloom and G. C. Bjorklund, “Conjugate wave-front generation and image reconstruction by four-wave mixing,” Appl. Phys. Lett. 31, 592–594 (1977).
[Crossref]

Bloom, D. M.

P. F. Liao, D. M. Bloom, and N. P. Economou, “CW optical wave-front conjugation by saturated absorption in atomic sodium vapor,” App. Phys. Lett. 32, 813–815 (1978).
[Crossref]

P. F. Liao and D. M. Bloom, “Continuous-wave backward-wave generation by degenerate four-wave mixing in ruby,” Opt. Lett. 3, 4–6 (1978).
[Crossref] [PubMed]

D. M. Bloom and G. C. Bjorklund, “Conjugate wave-front generation and image reconstruction by four-wave mixing,” Appl. Phys. Lett. 31, 592–594 (1977).
[Crossref]

Chen, Q.

W. Jiang, Q. Chen, Y. Zhang, and G.-C. Guo, “Computation of topological charges of optical vortices via nonde-generate four-wave mixing,” Phys. Rev. A 74, 043811 (2006).
[Crossref]

Chowdhury, A.

A. Chowdhury, B. J. Ackerson, and N. A. Clark, “Laser-induced freezing,” Phys. Rev. Lett. 55, 833–836 (1985).
[Crossref] [PubMed]

Clark, N. A.

A. Chowdhury, B. J. Ackerson, and N. A. Clark, “Laser-induced freezing,” Phys. Rev. Lett. 55, 833–836 (1985).
[Crossref] [PubMed]

Cohen, S.

Cronin-Golomb, M.

De Spirito, M.

R. Pizzoferrato, M. De Spirito, U. Zammit, M. Marinelli, F. Scudieri, and S. Martelluci, “Optical phase conjugation through translational and rotational diffusive rearrangements of liquid-dispersed microparticles,” Phys. Rev. A 41, 2882–2885 (1990).
[Crossref] [PubMed]

Deyanova, Y.

Ducasse, A.

Economou, N. P.

P. F. Liao, D. M. Bloom, and N. P. Economou, “CW optical wave-front conjugation by saturated absorption in atomic sodium vapor,” App. Phys. Lett. 32, 813–815 (1978).
[Crossref]

Fekete, D.

Fischer, B.

Freysz, E.

Goutis, S.

Guo, G.-C.

W. Jiang, Q. Chen, Y. Zhang, and G.-C. Guo, “Computation of topological charges of optical vortices via nonde-generate four-wave mixing,” Phys. Rev. A 74, 043811 (2006).
[Crossref]

Harris, M.

M. Harris, C. A. Hill, and J. M. Vaughan, “Laser modes with helical wave fronts, ” Phys. Rev. A 49, 3119–3122 (1994).
[Crossref] [PubMed]

Heckenberg, N. R.

N. R. Heckenberg, R. McDuff, C. P Smith, H. Rubinsztein-Dunlop, and M. J. Wegener, “Laser beams with phase singularities,” Opt. Quantum Elect. 24, S951–S962 (1992)
[Crossref]

Hellwarth, R. W.

S. M. Jensen and R. W. Hellwarth, “Observation of the time-reversed replica of a monochromatic optical wave,” Appl. Phys. Lett. 32, 166–168 (1978).
[Crossref]

R. W. Hellwarth, “Generation of time-reversed wave fronts by nonlinear refraction,” J. Opt. Soc. Am. 67, 1–3 (1977).
[Crossref]

Hill, C. A.

M. Harris, C. A. Hill, and J. M. Vaughan, “Laser modes with helical wave fronts, ” Phys. Rev. A 49, 3119–3122 (1994).
[Crossref] [PubMed]

Jensen, S. M.

S. M. Jensen and R. W. Hellwarth, “Observation of the time-reversed replica of a monochromatic optical wave,” Appl. Phys. Lett. 32, 166–168 (1978).
[Crossref]

Jiang, W.

W. Jiang, Q. Chen, Y. Zhang, and G.-C. Guo, “Computation of topological charges of optical vortices via nonde-generate four-wave mixing,” Phys. Rev. A 74, 043811 (2006).
[Crossref]

Kompitsas, M.

Laffon, E.

Liao, P. F.

P. F. Liao and D. M. Bloom, “Continuous-wave backward-wave generation by degenerate four-wave mixing in ruby,” Opt. Lett. 3, 4–6 (1978).
[Crossref] [PubMed]

P. F. Liao, D. M. Bloom, and N. P. Economou, “CW optical wave-front conjugation by saturated absorption in atomic sodium vapor,” App. Phys. Lett. 32, 813–815 (1978).
[Crossref]

Loose, W.

W. Loose and B.J Ackerson, “Model calculations for the analysis of scattering data from layered structures,” J. Chem. Phys. 101, 7211–7220 (1994).
[Crossref]

Maloney, P. J.

Marienko, I. G.

I. G. Marienko, M. S. Soskin, and M. V. Vasnetsov, “Phase conjugation of wavefronts containing phase singularities,” Proc. SPIE 3487, 39–41 (1998).
[Crossref]

Marinelli, M.

R. Pizzoferrato, M. De Spirito, U. Zammit, M. Marinelli, F. Scudieri, and S. Martelluci, “Optical phase conjugation through translational and rotational diffusive rearrangements of liquid-dispersed microparticles,” Phys. Rev. A 41, 2882–2885 (1990).
[Crossref] [PubMed]

Martelluci, S.

R. Pizzoferrato, M. De Spirito, U. Zammit, M. Marinelli, F. Scudieri, and S. Martelluci, “Optical phase conjugation through translational and rotational diffusive rearrangements of liquid-dispersed microparticles,” Phys. Rev. A 41, 2882–2885 (1990).
[Crossref] [PubMed]

McDuff, R.

N. R. Heckenberg, R. McDuff, C. P Smith, H. Rubinsztein-Dunlop, and M. J. Wegener, “Laser beams with phase singularities,” Opt. Quantum Elect. 24, S951–S962 (1992)
[Crossref]

Mikropoulos, T.

Neeves, A. E.

A. E. Neeves and M. H. Birnboim, “Polarization selective optical phase conjugation in a Kerr-like medium,” J. Opt. Soc. Am. B. 5, 701–708 (1988).
[Crossref]

Pepper, D. M.

Petrov, D. V.

J. W. R. Tabosa and D. V. Petrov, “Optical pumping of orbital angular momentum of light in cold cesium atoms,” Phys. Rev. Lett. 83, 4967–4970 (1999).
[Crossref]

Pizzoferrato, R.

R. Pizzoferrato, M. De Spirito, U. Zammit, M. Marinelli, F. Scudieri, and S. Martelluci, “Optical phase conjugation through translational and rotational diffusive rearrangements of liquid-dispersed microparticles,” Phys. Rev. A 41, 2882–2885 (1990).
[Crossref] [PubMed]

Rubinsztein-Dunlop, H.

N. R. Heckenberg, R. McDuff, C. P Smith, H. Rubinsztein-Dunlop, and M. J. Wegener, “Laser beams with phase singularities,” Opt. Quantum Elect. 24, S951–S962 (1992)
[Crossref]

Scudieri, F.

R. Pizzoferrato, M. De Spirito, U. Zammit, M. Marinelli, F. Scudieri, and S. Martelluci, “Optical phase conjugation through translational and rotational diffusive rearrangements of liquid-dispersed microparticles,” Phys. Rev. A 41, 2882–2885 (1990).
[Crossref] [PubMed]

Smith, C. P

N. R. Heckenberg, R. McDuff, C. P Smith, H. Rubinsztein-Dunlop, and M. J. Wegener, “Laser beams with phase singularities,” Opt. Quantum Elect. 24, S951–S962 (1992)
[Crossref]

Smith, P. W.

Soskin, M. S.

I. G. Marienko, M. S. Soskin, and M. V. Vasnetsov, “Phase conjugation of wavefronts containing phase singularities,” Proc. SPIE 3487, 39–41 (1998).
[Crossref]

Spreeuw, R. J. C.

L. Allen, M. W. Bijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45, 8185–8189 (1992).
[Crossref] [PubMed]

Tabosa, J. W. R.

S. Barreiro, J. W. R. Tabosa, J. P. Torres, Y. Deyanova, and L. Torner, “Four-wave mixing of light beams with engineered orbital angular momentum in cold cesium atoms,” Opt. Lett. 29, 1515–1517 (2004).
[Crossref] [PubMed]

S. Barreiro and J. W. R. Tabosa, “Generation of Light Carrying Orbital Angular Momentum via Induced Coherence Grating in Cold Atoms,” Phys. Rev. Lett. 90, 133001 (2003).
[Crossref] [PubMed]

J. W. R. Tabosa and D. V. Petrov, “Optical pumping of orbital angular momentum of light in cold cesium atoms,” Phys. Rev. Lett. 83, 4967–4970 (1999).
[Crossref]

Tomlinson, W. J.

Torner, L.

Torres, J. P.

Vasnetsov, M. V.

I. G. Marienko, M. S. Soskin, and M. V. Vasnetsov, “Phase conjugation of wavefronts containing phase singularities,” Proc. SPIE 3487, 39–41 (1998).
[Crossref]

Vaughan, J. M.

M. Harris, C. A. Hill, and J. M. Vaughan, “Laser modes with helical wave fronts, ” Phys. Rev. A 49, 3119–3122 (1994).
[Crossref] [PubMed]

Wegener, M. J.

N. R. Heckenberg, R. McDuff, C. P Smith, H. Rubinsztein-Dunlop, and M. J. Wegener, “Laser beams with phase singularities,” Opt. Quantum Elect. 24, S951–S962 (1992)
[Crossref]

White, J. O.

Woerdman, J. P.

L. Allen, M. W. Bijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45, 8185–8189 (1992).
[Crossref] [PubMed]

Yariv, A.

Zammit, U.

R. Pizzoferrato, M. De Spirito, U. Zammit, M. Marinelli, F. Scudieri, and S. Martelluci, “Optical phase conjugation through translational and rotational diffusive rearrangements of liquid-dispersed microparticles,” Phys. Rev. A 41, 2882–2885 (1990).
[Crossref] [PubMed]

Zhang, Y.

W. Jiang, Q. Chen, Y. Zhang, and G.-C. Guo, “Computation of topological charges of optical vortices via nonde-generate four-wave mixing,” Phys. Rev. A 74, 043811 (2006).
[Crossref]

App. Phys. Lett. (1)

P. F. Liao, D. M. Bloom, and N. P. Economou, “CW optical wave-front conjugation by saturated absorption in atomic sodium vapor,” App. Phys. Lett. 32, 813–815 (1978).
[Crossref]

Appl. Phys. Lett. (2)

D. M. Bloom and G. C. Bjorklund, “Conjugate wave-front generation and image reconstruction by four-wave mixing,” Appl. Phys. Lett. 31, 592–594 (1977).
[Crossref]

S. M. Jensen and R. W. Hellwarth, “Observation of the time-reversed replica of a monochromatic optical wave,” Appl. Phys. Lett. 32, 166–168 (1978).
[Crossref]

J. Chem. Phys. (1)

W. Loose and B.J Ackerson, “Model calculations for the analysis of scattering data from layered structures,” J. Chem. Phys. 101, 7211–7220 (1994).
[Crossref]

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. B. (1)

A. E. Neeves and M. H. Birnboim, “Polarization selective optical phase conjugation in a Kerr-like medium,” J. Opt. Soc. Am. B. 5, 701–708 (1988).
[Crossref]

Opt. Lett. (9)

S. Barreiro, J. W. R. Tabosa, J. P. Torres, Y. Deyanova, and L. Torner, “Four-wave mixing of light beams with engineered orbital angular momentum in cold cesium atoms,” Opt. Lett. 29, 1515–1517 (2004).
[Crossref] [PubMed]

P. W. Smith, A. Ashkin, and W. J. Tomlinson, “Four-wave mixing in an artificial Kerr medium,” Opt. Lett. 6, 284–286 (1981).
[Crossref] [PubMed]

P. W. Smith, P. J. Maloney, and A. Ashkin, “Use of a liquid suspension of dielectric spheres as an artificial Kerr medium,” Opt. Lett. 7, 347–349 (1982).
[Crossref] [PubMed]

M. Cronin-Golomb, J. O. White, B. Fischer, and A. Yariv, “Exact solution of a nonlinear model of four-wave mixing and phase conjugation,” Opt. Lett. 7, 313–315 (1982).
[Crossref] [PubMed]

A. Yariv and D. M. Pepper, “Amplified reflection, phase conjugation, and oscillation in degenerate four-wave mixing,” Opt. Lett. 1, 16–18 (1977).
[Crossref] [PubMed]

T. Mikropoulos, S. Cohen, M. Kompitsas, S. Goutis, and C. Baharis, “Phase conjugation by degenerate four-wave mixing in barium vapor,” Opt. Lett. 15, 1270–1272 (1990).
[Crossref] [PubMed]

P. F. Liao and D. M. Bloom, “Continuous-wave backward-wave generation by degenerate four-wave mixing in ruby,” Opt. Lett. 3, 4–6 (1978).
[Crossref] [PubMed]

E. Freysz, E. Laffon, and A. Ducasse, “Phase conjugation used as a test of the local and nonlocal characteristics of optical nonlinearities in microemulsions,” Opt. Lett. 16, 1644–1646 (1991).
[Crossref] [PubMed]

D. Fekete, J. C. Auyeung, and A. Yariv, “Phase-conjugate reflection by degenerate four-wave mixing in a nematic liquid crystal in the isotropic phase,” Opt. Lett. 5, 51–53 (1980).
[Crossref] [PubMed]

Opt. Quantum Elect. (1)

N. R. Heckenberg, R. McDuff, C. P Smith, H. Rubinsztein-Dunlop, and M. J. Wegener, “Laser beams with phase singularities,” Opt. Quantum Elect. 24, S951–S962 (1992)
[Crossref]

Phys. Rev. A (4)

M. Harris, C. A. Hill, and J. M. Vaughan, “Laser modes with helical wave fronts, ” Phys. Rev. A 49, 3119–3122 (1994).
[Crossref] [PubMed]

R. Pizzoferrato, M. De Spirito, U. Zammit, M. Marinelli, F. Scudieri, and S. Martelluci, “Optical phase conjugation through translational and rotational diffusive rearrangements of liquid-dispersed microparticles,” Phys. Rev. A 41, 2882–2885 (1990).
[Crossref] [PubMed]

L. Allen, M. W. Bijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45, 8185–8189 (1992).
[Crossref] [PubMed]

W. Jiang, Q. Chen, Y. Zhang, and G.-C. Guo, “Computation of topological charges of optical vortices via nonde-generate four-wave mixing,” Phys. Rev. A 74, 043811 (2006).
[Crossref]

Phys. Rev. Lett. (3)

A. Chowdhury, B. J. Ackerson, and N. A. Clark, “Laser-induced freezing,” Phys. Rev. Lett. 55, 833–836 (1985).
[Crossref] [PubMed]

J. W. R. Tabosa and D. V. Petrov, “Optical pumping of orbital angular momentum of light in cold cesium atoms,” Phys. Rev. Lett. 83, 4967–4970 (1999).
[Crossref]

S. Barreiro and J. W. R. Tabosa, “Generation of Light Carrying Orbital Angular Momentum via Induced Coherence Grating in Cold Atoms,” Phys. Rev. Lett. 90, 133001 (2003).
[Crossref] [PubMed]

Proc. SPIE (1)

I. G. Marienko, M. S. Soskin, and M. V. Vasnetsov, “Phase conjugation of wavefronts containing phase singularities,” Proc. SPIE 3487, 39–41 (1998).
[Crossref]

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Figures (3)

Fig. 1.
Fig. 1.

Setup used for FWM experiments. The probe is shaped into an LG beam using an offline blazed-phasehologram. The length of the delay line is varied for the reference beam to match the optical path of the backgenerated wave. CP-compensating plate pair, CH-chopper, LP-linear polarizer, QW-quarter-wave plate, HOL-hologram, SM-sampling mirror, ND1 and ND2 are neutral density filters. BGW and PW denote the backgenerated wave and the reference plane wave for the interferograms.

Fig. 2.
Fig. 2.

Interferograms of (a) the specularly reflected signal and a reference plane wave, (b) the backgenerated signal and the reference plane wave. The probe beam is a LG beam with l = 4, p = 0. Colored lines represent phase shifts, while circles represent the limits of the extent of the probe beam alone.

Fig. 3.
Fig. 3.

Backgenerated signal power as a function of input power. The solid line is the cubic fit. The inset shows the diffraction pattern for SAS.

Equations (1)

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Λ + = λ 2 cos ( θ 2 ) , and Λ = λ 2 sin ( θ 2 ) ,

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