Abstract

A simple dual-wavelength (two-color) Z-scan geometry is demonstrated for measuring nonlinearities at frequency ωp owing to the presence of light at ωe. This technique gives the nondegenerate two-photon absorption (2PA) coefficient β(ωp; ωe) and the nondegenerate nonlinear refractive index n2(ωp; ωe), i.e., cross-phase modulation. We demonstrate this technique on CS2 for n2 and on ZnSe where 2PA and n2 are present simultaneously.

© 1992 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990).
    [Crossref]
  2. M. Sheik-Bahae, J. R. De Salvo, J. Wang, D. J. Hagan, E. W. Van Stryland, in Conference on Lasers and Electro-Optics, Vol. 15 of OSA 1991 Technical Digest Series (Optical Society of America, Washington, D.C., 1991), paper CTuW16.
  3. H. Ma, A. S. L. Gomes, C. B. de Araujo, Appl. Phys. Lett. 59, 2666 (1991).
    [Crossref]
  4. R. Adair, L. L. Chase, S. A. Payne, J. Opt. Soc. Am. B 4, 875 (1987).
    [Crossref]
  5. M. Sheik-Bahae, D. C. Hutchings, D. J. Hagan, E. W. Van Stryland, IEEE J. Quantum Electron. 27, 1296 (1991).
    [Crossref]
  6. M. Sheik-Bahae, D. C. Hutchings, D. J. Hagan, E. W. Van Stryland, in Quantum Electronics Laser Science, Vol. 11 of 1991 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), paper QTuI16.
  7. E. W. Van Stryland, A. L. Smirl, T. F. Boggess, M. J. Soileau, B. S. Wherrett, F. A. Hopf, Chem. Phys. 23, 368 (1982).
  8. P. N. Butcher, D. Cotter, Elements of Nonlinear Optics (Cambridge U. Press, New York, 1990).
    [Crossref]
  9. N. Bloembergen, P. Lallemand, Phys. Rev. Lett. 16, 81 (1966).
    [Crossref]
  10. D. McMorrow, W. T. Lotshaw, G. A. Kenny-Wallace, IEEE J. Quantum Electron. 24, 443 (1988).
    [Crossref]

1991 (2)

H. Ma, A. S. L. Gomes, C. B. de Araujo, Appl. Phys. Lett. 59, 2666 (1991).
[Crossref]

M. Sheik-Bahae, D. C. Hutchings, D. J. Hagan, E. W. Van Stryland, IEEE J. Quantum Electron. 27, 1296 (1991).
[Crossref]

1990 (1)

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

1988 (1)

D. McMorrow, W. T. Lotshaw, G. A. Kenny-Wallace, IEEE J. Quantum Electron. 24, 443 (1988).
[Crossref]

1987 (1)

1982 (1)

E. W. Van Stryland, A. L. Smirl, T. F. Boggess, M. J. Soileau, B. S. Wherrett, F. A. Hopf, Chem. Phys. 23, 368 (1982).

1966 (1)

N. Bloembergen, P. Lallemand, Phys. Rev. Lett. 16, 81 (1966).
[Crossref]

Adair, R.

Bloembergen, N.

N. Bloembergen, P. Lallemand, Phys. Rev. Lett. 16, 81 (1966).
[Crossref]

Boggess, T. F.

E. W. Van Stryland, A. L. Smirl, T. F. Boggess, M. J. Soileau, B. S. Wherrett, F. A. Hopf, Chem. Phys. 23, 368 (1982).

Butcher, P. N.

P. N. Butcher, D. Cotter, Elements of Nonlinear Optics (Cambridge U. Press, New York, 1990).
[Crossref]

Chase, L. L.

Cotter, D.

P. N. Butcher, D. Cotter, Elements of Nonlinear Optics (Cambridge U. Press, New York, 1990).
[Crossref]

de Araujo, C. B.

H. Ma, A. S. L. Gomes, C. B. de Araujo, Appl. Phys. Lett. 59, 2666 (1991).
[Crossref]

De Salvo, J. R.

M. Sheik-Bahae, J. R. De Salvo, J. Wang, D. J. Hagan, E. W. Van Stryland, in Conference on Lasers and Electro-Optics, Vol. 15 of OSA 1991 Technical Digest Series (Optical Society of America, Washington, D.C., 1991), paper CTuW16.

Gomes, A. S. L.

H. Ma, A. S. L. Gomes, C. B. de Araujo, Appl. Phys. Lett. 59, 2666 (1991).
[Crossref]

Hagan, D. J.

M. Sheik-Bahae, D. C. Hutchings, D. J. Hagan, E. W. Van Stryland, IEEE J. Quantum Electron. 27, 1296 (1991).
[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]

M. Sheik-Bahae, J. R. De Salvo, J. Wang, D. J. Hagan, E. W. Van Stryland, in Conference on Lasers and Electro-Optics, Vol. 15 of OSA 1991 Technical Digest Series (Optical Society of America, Washington, D.C., 1991), paper CTuW16.

M. Sheik-Bahae, D. C. Hutchings, D. J. Hagan, E. W. Van Stryland, in Quantum Electronics Laser Science, Vol. 11 of 1991 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), paper QTuI16.

Hopf, F. A.

E. W. Van Stryland, A. L. Smirl, T. F. Boggess, M. J. Soileau, B. S. Wherrett, F. A. Hopf, Chem. Phys. 23, 368 (1982).

Hutchings, D. C.

M. Sheik-Bahae, D. C. Hutchings, D. J. Hagan, E. W. Van Stryland, IEEE J. Quantum Electron. 27, 1296 (1991).
[Crossref]

M. Sheik-Bahae, D. C. Hutchings, D. J. Hagan, E. W. Van Stryland, in Quantum Electronics Laser Science, Vol. 11 of 1991 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), paper QTuI16.

Kenny-Wallace, G. A.

D. McMorrow, W. T. Lotshaw, G. A. Kenny-Wallace, IEEE J. Quantum Electron. 24, 443 (1988).
[Crossref]

Lallemand, P.

N. Bloembergen, P. Lallemand, Phys. Rev. Lett. 16, 81 (1966).
[Crossref]

Lotshaw, W. T.

D. McMorrow, W. T. Lotshaw, G. A. Kenny-Wallace, IEEE J. Quantum Electron. 24, 443 (1988).
[Crossref]

Ma, H.

H. Ma, A. S. L. Gomes, C. B. de Araujo, Appl. Phys. Lett. 59, 2666 (1991).
[Crossref]

McMorrow, D.

D. McMorrow, W. T. Lotshaw, G. A. Kenny-Wallace, IEEE J. Quantum Electron. 24, 443 (1988).
[Crossref]

Payne, S. A.

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]

Sheik-Bahae, M.

M. Sheik-Bahae, D. C. Hutchings, D. J. Hagan, E. W. Van Stryland, IEEE J. Quantum Electron. 27, 1296 (1991).
[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]

M. Sheik-Bahae, J. R. De Salvo, J. Wang, D. J. Hagan, E. W. Van Stryland, in Conference on Lasers and Electro-Optics, Vol. 15 of OSA 1991 Technical Digest Series (Optical Society of America, Washington, D.C., 1991), paper CTuW16.

M. Sheik-Bahae, D. C. Hutchings, D. J. Hagan, E. W. Van Stryland, in Quantum Electronics Laser Science, Vol. 11 of 1991 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), paper QTuI16.

Smirl, A. L.

E. W. Van Stryland, A. L. Smirl, T. F. Boggess, M. J. Soileau, B. S. Wherrett, F. A. Hopf, Chem. Phys. 23, 368 (1982).

Soileau, M. J.

E. W. Van Stryland, A. L. Smirl, T. F. Boggess, M. J. Soileau, B. S. Wherrett, F. A. Hopf, Chem. Phys. 23, 368 (1982).

Van Stryland, E. W.

M. Sheik-Bahae, D. C. Hutchings, D. J. Hagan, E. W. Van Stryland, IEEE J. Quantum Electron. 27, 1296 (1991).
[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]

E. W. Van Stryland, A. L. Smirl, T. F. Boggess, M. J. Soileau, B. S. Wherrett, F. A. Hopf, Chem. Phys. 23, 368 (1982).

M. Sheik-Bahae, D. C. Hutchings, D. J. Hagan, E. W. Van Stryland, in Quantum Electronics Laser Science, Vol. 11 of 1991 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), paper QTuI16.

M. Sheik-Bahae, J. R. De Salvo, J. Wang, D. J. Hagan, E. W. Van Stryland, in Conference on Lasers and Electro-Optics, Vol. 15 of OSA 1991 Technical Digest Series (Optical Society of America, Washington, D.C., 1991), paper CTuW16.

Wang, J.

M. Sheik-Bahae, J. R. De Salvo, J. Wang, D. J. Hagan, E. W. Van Stryland, in Conference on Lasers and Electro-Optics, Vol. 15 of OSA 1991 Technical Digest Series (Optical Society of America, Washington, D.C., 1991), paper CTuW16.

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]

Wherrett, B. S.

E. W. Van Stryland, A. L. Smirl, T. F. Boggess, M. J. Soileau, B. S. Wherrett, F. A. Hopf, Chem. Phys. 23, 368 (1982).

Appl. Phys. Lett. (1)

H. Ma, A. S. L. Gomes, C. B. de Araujo, Appl. Phys. Lett. 59, 2666 (1991).
[Crossref]

Chem. Phys. (1)

E. W. Van Stryland, A. L. Smirl, T. F. Boggess, M. J. Soileau, B. S. Wherrett, F. A. Hopf, Chem. Phys. 23, 368 (1982).

IEEE J. Quantum Electron. (3)

M. Sheik-Bahae, D. C. Hutchings, D. J. Hagan, E. W. Van Stryland, IEEE J. Quantum Electron. 27, 1296 (1991).
[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]

D. McMorrow, W. T. Lotshaw, G. A. Kenny-Wallace, IEEE J. Quantum Electron. 24, 443 (1988).
[Crossref]

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

Phys. Rev. Lett. (1)

N. Bloembergen, P. Lallemand, Phys. Rev. Lett. 16, 81 (1966).
[Crossref]

Other (3)

M. Sheik-Bahae, J. R. De Salvo, J. Wang, D. J. Hagan, E. W. Van Stryland, in Conference on Lasers and Electro-Optics, Vol. 15 of OSA 1991 Technical Digest Series (Optical Society of America, Washington, D.C., 1991), paper CTuW16.

M. Sheik-Bahae, D. C. Hutchings, D. J. Hagan, E. W. Van Stryland, in Quantum Electronics Laser Science, Vol. 11 of 1991 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), paper QTuI16.

P. N. Butcher, D. Cotter, Elements of Nonlinear Optics (Cambridge U. Press, New York, 1990).
[Crossref]

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1
Fig. 1

Two-color Z-scan experimental configuration. The measured signal is the ratio D2/D1 as the sample is scanned along the propagation (Z) axis.

Fig. 2
Fig. 2

Measured two-color Z scans (λ = 1.06 and 0.532 μm) for liquid CS2 for parallel (squares) and perpendicular (circles) polarization. The solid curves represent theoretical calculations.

Fig. 3
Fig. 3

Normalized transmittance as a function of sample position Z for ZnSe. The solid circles represent the open-aperture Z scan, the open circles represent the closed-aperture Z scan, and the solid squares represent the division of closed by open data values. The lines are from the best-fitted calculations.

Equations (4)

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

d I e d z = α e I e β 11 ( ω e ; ω e ) I e 2 ,
d I p d z = 2 β 12 ( ω p ; ω e ) I e I p ,
d Δ ϕ p d z = ω p c 2 γ 12 ( ω p ; ω e ) I e ,
Δ T p υ p Δ Φ 12 ,

Metrics