Abstract

We demonstrate a new Z-scan measurement technique that permits the use of non-Gaussian beams and thick, as well as thin, samples. We expect that this technique will make possible the measurement of optical nonlinearities by the use of lasers that previously would have been unsuitable for this purpose, because of either inadequate beam quality or inadequate power. Another advantage of this technique is that it does not require detailed knowledge of the temporal characteristics of the laser pulse that is used.

© 1995 Optical Society of America

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References

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  1. M. Sheik-Bahae, A. A. Said, E. W. Van Stryland, Opt. Lett. 14, 955 (1989).
    [CrossRef] [PubMed]
  2. M. Sheik-Bahae, A. A. Said, T.-H. Wei, D. J. Hagan, E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990).
    [CrossRef]
  3. A. E. Siegman, IEEE J. Quantum Electron. 29, 1212 (1993).
    [CrossRef]
  4. B. Johnson, Proc. Soc. Photo-Opt. Instrum. Eng. 1834, 105 (1992).
  5. P. B. Chapple, J. Staromlynska, J. Opt. Soc. Am. B 11, 975 (1994).
    [CrossRef]
  6. W. Zhao, P. Palffy-Muhoray, Appl. Phys. Lett. 65, 673 (1994).
    [CrossRef]
  7. M. Sheik-Bahae, A. A. Said, D. J. Hagan, M. J. Soileau, E. W. Van Stryland, Opt. Eng. 30, 1228 (1991).
    [CrossRef]
  8. G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, Boston, Mass., 1995), Chap. 2.
  9. R. W. Boyd, Nonlinear Optics (Academic, Boston, Mass., 1992), App. B.
  10. J. H. Marburger, Prog. Quantum Electron. 4, 35 (1975).What we call the critical power is referred to in this reference as the power P3 for a Gaussian beam.
    [CrossRef]
  11. A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986), Chap. 17.
  12. T. Xia, D. J. Hagan, M. Sheik-Bahae, E. W. Van Stryland, Opt. Lett. 19, 317 (1994).
    [CrossRef] [PubMed]

1994 (3)

1993 (1)

A. E. Siegman, IEEE J. Quantum Electron. 29, 1212 (1993).
[CrossRef]

1992 (2)

B. Johnson, Proc. Soc. Photo-Opt. Instrum. Eng. 1834, 105 (1992).

R. W. Boyd, Nonlinear Optics (Academic, Boston, Mass., 1992), App. B.

1991 (1)

M. Sheik-Bahae, A. A. Said, D. J. Hagan, M. J. Soileau, E. W. Van Stryland, Opt. Eng. 30, 1228 (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]

1989 (1)

1975 (1)

J. H. Marburger, Prog. Quantum Electron. 4, 35 (1975).What we call the critical power is referred to in this reference as the power P3 for a Gaussian beam.
[CrossRef]

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, Boston, Mass., 1995), Chap. 2.

Boyd, R. W.

R. W. Boyd, Nonlinear Optics (Academic, Boston, Mass., 1992), App. B.

Chapple, P. B.

Hagan, D. J.

T. Xia, D. J. Hagan, M. Sheik-Bahae, E. W. Van Stryland, Opt. Lett. 19, 317 (1994).
[CrossRef] [PubMed]

M. Sheik-Bahae, A. A. Said, D. J. Hagan, M. J. Soileau, E. W. Van Stryland, Opt. Eng. 30, 1228 (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]

Johnson, B.

B. Johnson, Proc. Soc. Photo-Opt. Instrum. Eng. 1834, 105 (1992).

Marburger, J. H.

J. H. Marburger, Prog. Quantum Electron. 4, 35 (1975).What we call the critical power is referred to in this reference as the power P3 for a Gaussian beam.
[CrossRef]

Palffy-Muhoray, P.

W. Zhao, P. Palffy-Muhoray, Appl. Phys. Lett. 65, 673 (1994).
[CrossRef]

Said, A. A.

M. Sheik-Bahae, A. A. Said, D. J. Hagan, M. J. Soileau, E. W. Van Stryland, Opt. Eng. 30, 1228 (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, A. A. Said, E. W. Van Stryland, Opt. Lett. 14, 955 (1989).
[CrossRef] [PubMed]

Sheik-Bahae, M.

T. Xia, D. J. Hagan, M. Sheik-Bahae, E. W. Van Stryland, Opt. Lett. 19, 317 (1994).
[CrossRef] [PubMed]

M. Sheik-Bahae, A. A. Said, D. J. Hagan, M. J. Soileau, E. W. Van Stryland, Opt. Eng. 30, 1228 (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, A. A. Said, E. W. Van Stryland, Opt. Lett. 14, 955 (1989).
[CrossRef] [PubMed]

Siegman, A. E.

A. E. Siegman, IEEE J. Quantum Electron. 29, 1212 (1993).
[CrossRef]

A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986), Chap. 17.

Soileau, M. J.

M. Sheik-Bahae, A. A. Said, D. J. Hagan, M. J. Soileau, E. W. Van Stryland, Opt. Eng. 30, 1228 (1991).
[CrossRef]

Staromlynska, J.

Van Stryland, E. W.

T. Xia, D. J. Hagan, M. Sheik-Bahae, E. W. Van Stryland, Opt. Lett. 19, 317 (1994).
[CrossRef] [PubMed]

M. Sheik-Bahae, A. A. Said, D. J. Hagan, M. J. Soileau, E. W. Van Stryland, Opt. Eng. 30, 1228 (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, 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]

Xia, T.

Zhao, W.

W. Zhao, P. Palffy-Muhoray, Appl. Phys. Lett. 65, 673 (1994).
[CrossRef]

Appl. Phys. Lett. (1)

W. Zhao, P. Palffy-Muhoray, Appl. Phys. Lett. 65, 673 (1994).
[CrossRef]

IEEE J. Quantum Electron. (2)

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

A. E. Siegman, IEEE J. Quantum Electron. 29, 1212 (1993).
[CrossRef]

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

Nonlinear Optics (1)

R. W. Boyd, Nonlinear Optics (Academic, Boston, Mass., 1992), App. B.

Opt. Eng. (1)

M. Sheik-Bahae, A. A. Said, D. J. Hagan, M. J. Soileau, E. W. Van Stryland, Opt. Eng. 30, 1228 (1991).
[CrossRef]

Opt. Lett. (2)

Proc. Soc. Photo-Opt. Instrum. Eng. (1)

B. Johnson, Proc. Soc. Photo-Opt. Instrum. Eng. 1834, 105 (1992).

Prog. Quantum Electron. (1)

J. H. Marburger, Prog. Quantum Electron. 4, 35 (1975).What we call the critical power is referred to in this reference as the power P3 for a Gaussian beam.
[CrossRef]

Other (2)

A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986), Chap. 17.

G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, Boston, Mass., 1995), Chap. 2.

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Figures (1)

Fig. 1
Fig. 1

Aberrated beam obtained by sending light from a Nd:YAG laser through a distorted wire mesh.

Tables (1)

Tables Icon

Table 1 Ratio of n2 Values for Two Pairs of Liquids as Measured at λ0 = 1064 nm with Five Cuvette Thicknesses

Equations (5)

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

E ( r , T ) = ½ A ( r , T ) exp [ i β 0 ( j ) z - i ω 0 T ] + c . c . ,
i z A = - 1 2 β 0 ( j ) ( 2 x 2 + 2 y 2 ) A - ω 0 n 2 ( j ) A 2 2 c A ,
i n 0 ( j ) ζ u = - 1 2 2 x 2 u - 1 2 2 y 2 u - 2 π P P c j u 2 u .
n 2 ( t ) = n 2 ( r ) P r / P t .
n 2 ( t ) = n 2 ( r ) Δ T pv t L r P r Δ T pv r L t P t .

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