Abstract

We present a method that combines the Z-scan technique with nonlinear ellipse rotation (NER) to measure third-order nonlinear susceptibility components. The experimental details are demonstrated, and a comprehensive theoretical analysis is given. The validity of this method is verified by the measurements of the nonlinear susceptibility tensor of a well-characterized liquid, CS2.

© 2007 Optical Society of America

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  1. R. L. Sutherland, ed., Handbook of Nonlinear Optics (Marcel Dekker, New York, 1996).
  2. S. R. Friberg and P. W. Smith, "Nonlinear optical glasses for ultrafast optical switches," IEEE J. Quantum Electron. QE-23, 2089-2094 (1987).
  3. G. Boudebs, M. Chis, and J. P. Bourdin, "Third-order susceptibility measurements by nonlinear image processing," J. Opt. Soc. Am. B 13, 1450-1456 (1996).
  4. P. D. Maker, R. W. Terhune, and C. M. Savage, "Intensity-dependent changes in the refractive index of liquids," Phys. Rev. Lett. 12, 507-509 (1964).
    [CrossRef]
  5. P. D. Maker and R. W. Terhune, "Study of optical effects due to an induced polarization third order in the electric field strength," Phys. Rev. 137, A801-A818 (1965).
    [CrossRef]
  6. M. Sheik-Bahae, A. A. Said, T. H. Vei, D. J. Hagan, and E. W. Van Stryland, "Sensitive measurement of optical nonlinearities using a single beam," IEEE J. Quantum Electron. 26, 760-769 (1990).
    [CrossRef]
  7. W. Zhao and P. Palffy-Muhoray, "Z-scan technique using top-hat beams," Appl. Phys. Lett. 63, 1613-1615 (1993).
    [CrossRef]
  8. T. Xia, D. J. Hagan, M. Sheik-Bahae, and E. W. Van Stryland, "Eclipsing Z-scan measurement of Lambda/104 wave-front distortion," Opt. Lett. 19, 317-319 (1994).
  9. R. W. Boyd, Nonlinear Optics, 2nd ed. (Academic Press, San Diego, 2003).
  10. A. J. Van Wonderen, "Influence of transverse effects on self-induced polarization changes in an isotropic Kerr medium," J. Opt. Soc. Am. B 14, 1118-1130 (1997).
  11. M. Lefkir and G. Rivoire, "Influence of transverse effects on measurements of third-order nonlinear susceptibility by self-induced polarization state changes," J. Opt. Soc. Am. B 14, 2856-2864 (1997).
  12. M. Sheik-Bahae and M. P. Hasselbeck, "Third-order optical nonlinearities," in OSA Handbook of Optics, (McGraw-Hill 2001), Vol. IV, Chap. 17.

1997 (2)

1996 (1)

1994 (1)

1993 (1)

W. Zhao and P. Palffy-Muhoray, "Z-scan technique using top-hat beams," Appl. Phys. Lett. 63, 1613-1615 (1993).
[CrossRef]

1990 (1)

M. Sheik-Bahae, A. A. Said, T. H. Vei, D. J. Hagan, and E. W. Van Stryland, "Sensitive measurement of optical nonlinearities using a single beam," IEEE J. Quantum Electron. 26, 760-769 (1990).
[CrossRef]

1987 (1)

S. R. Friberg and P. W. Smith, "Nonlinear optical glasses for ultrafast optical switches," IEEE J. Quantum Electron. QE-23, 2089-2094 (1987).

1965 (1)

P. D. Maker and R. W. Terhune, "Study of optical effects due to an induced polarization third order in the electric field strength," Phys. Rev. 137, A801-A818 (1965).
[CrossRef]

1964 (1)

P. D. Maker, R. W. Terhune, and C. M. Savage, "Intensity-dependent changes in the refractive index of liquids," Phys. Rev. Lett. 12, 507-509 (1964).
[CrossRef]

Boudebs, G.

Bourdin, J. P.

Chis, M.

Friberg, S. R.

S. R. Friberg and P. W. Smith, "Nonlinear optical glasses for ultrafast optical switches," IEEE J. Quantum Electron. QE-23, 2089-2094 (1987).

Hagan, D. J.

T. Xia, D. J. Hagan, M. Sheik-Bahae, and E. W. Van Stryland, "Eclipsing Z-scan measurement of Lambda/104 wave-front distortion," Opt. Lett. 19, 317-319 (1994).

M. Sheik-Bahae, A. A. Said, T. H. Vei, D. J. Hagan, and E. W. Van Stryland, "Sensitive measurement of optical nonlinearities using a single beam," IEEE J. Quantum Electron. 26, 760-769 (1990).
[CrossRef]

Lefkir, M.

Maker, P. D.

P. D. Maker and R. W. Terhune, "Study of optical effects due to an induced polarization third order in the electric field strength," Phys. Rev. 137, A801-A818 (1965).
[CrossRef]

P. D. Maker, R. W. Terhune, and C. M. Savage, "Intensity-dependent changes in the refractive index of liquids," Phys. Rev. Lett. 12, 507-509 (1964).
[CrossRef]

Palffy-Muhoray, P.

W. Zhao and P. Palffy-Muhoray, "Z-scan technique using top-hat beams," Appl. Phys. Lett. 63, 1613-1615 (1993).
[CrossRef]

Rivoire, G.

Said, A. A.

M. Sheik-Bahae, A. A. Said, T. H. Vei, D. J. Hagan, and E. W. Van Stryland, "Sensitive measurement of optical nonlinearities using a single beam," IEEE J. Quantum Electron. 26, 760-769 (1990).
[CrossRef]

Savage, C. M.

P. D. Maker, R. W. Terhune, and C. M. Savage, "Intensity-dependent changes in the refractive index of liquids," Phys. Rev. Lett. 12, 507-509 (1964).
[CrossRef]

Sheik-Bahae, M.

T. Xia, D. J. Hagan, M. Sheik-Bahae, and E. W. Van Stryland, "Eclipsing Z-scan measurement of Lambda/104 wave-front distortion," Opt. Lett. 19, 317-319 (1994).

M. Sheik-Bahae, A. A. Said, T. H. Vei, D. J. Hagan, and E. W. Van Stryland, "Sensitive measurement of optical nonlinearities using a single beam," IEEE J. Quantum Electron. 26, 760-769 (1990).
[CrossRef]

Smith, P. W.

S. R. Friberg and P. W. Smith, "Nonlinear optical glasses for ultrafast optical switches," IEEE J. Quantum Electron. QE-23, 2089-2094 (1987).

Terhune, R. W.

P. D. Maker and R. W. Terhune, "Study of optical effects due to an induced polarization third order in the electric field strength," Phys. Rev. 137, A801-A818 (1965).
[CrossRef]

P. D. Maker, R. W. Terhune, and C. M. Savage, "Intensity-dependent changes in the refractive index of liquids," Phys. Rev. Lett. 12, 507-509 (1964).
[CrossRef]

Van Stryland, E. W.

T. Xia, D. J. Hagan, M. Sheik-Bahae, and E. W. Van Stryland, "Eclipsing Z-scan measurement of Lambda/104 wave-front distortion," Opt. Lett. 19, 317-319 (1994).

M. Sheik-Bahae, A. A. Said, T. H. Vei, D. J. Hagan, and E. W. Van Stryland, "Sensitive measurement of optical nonlinearities using a single beam," IEEE J. Quantum Electron. 26, 760-769 (1990).
[CrossRef]

Van Wonderen, A. J.

Vei, T. H.

M. Sheik-Bahae, A. A. Said, T. H. Vei, D. J. Hagan, and E. W. Van Stryland, "Sensitive measurement of optical nonlinearities using a single beam," IEEE J. Quantum Electron. 26, 760-769 (1990).
[CrossRef]

Xia, T.

Zhao, W.

W. Zhao and P. Palffy-Muhoray, "Z-scan technique using top-hat beams," Appl. Phys. Lett. 63, 1613-1615 (1993).
[CrossRef]

Appl. Phys. Lett. (1)

W. Zhao and P. Palffy-Muhoray, "Z-scan technique using top-hat beams," Appl. Phys. Lett. 63, 1613-1615 (1993).
[CrossRef]

IEEE J. Quantum Electron. (2)

S. R. Friberg and P. W. Smith, "Nonlinear optical glasses for ultrafast optical switches," IEEE J. Quantum Electron. QE-23, 2089-2094 (1987).

M. Sheik-Bahae, A. A. Said, T. H. Vei, D. J. Hagan, and E. W. Van Stryland, "Sensitive measurement of optical nonlinearities using a single beam," IEEE J. Quantum Electron. 26, 760-769 (1990).
[CrossRef]

J. Opt. Soc. Am. B (3)

Opt. Lett. (1)

Phys. Rev. (1)

P. D. Maker and R. W. Terhune, "Study of optical effects due to an induced polarization third order in the electric field strength," Phys. Rev. 137, A801-A818 (1965).
[CrossRef]

Phys. Rev. Lett. (1)

P. D. Maker, R. W. Terhune, and C. M. Savage, "Intensity-dependent changes in the refractive index of liquids," Phys. Rev. Lett. 12, 507-509 (1964).
[CrossRef]

Other (3)

R. L. Sutherland, ed., Handbook of Nonlinear Optics (Marcel Dekker, New York, 1996).

R. W. Boyd, Nonlinear Optics, 2nd ed. (Academic Press, San Diego, 2003).

M. Sheik-Bahae and M. P. Hasselbeck, "Third-order optical nonlinearities," in OSA Handbook of Optics, (McGraw-Hill 2001), Vol. IV, Chap. 17.

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