Abstract

We demonstrate simultaneous measurement of the real and the imaginary parts of third-order susceptibilities by use of a collinear pump–probe technique. This technique allows for good results and simple implementation. The signal analysis is based on the particular oscillatory signature versus the pump–probe delay allowed by the collinear configuration. Results are compared with interferometric measurements of a SF59 (Schott) glass sample.

© 1998 Optical Society of America

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References

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1998 (2)

V. Mizarhi, K. W. Delong, and G. I. Stegman, Opt. Lett. 14, 1140 (1998).
[CrossRef]

L. Canioni, M. O. M. Martin, and L. Sarger, Opt. Commun. 151, 241 (1998).
[CrossRef]

1997 (1)

1996 (3)

1995 (3)

I. Kang, T. D. Krauss, F. W. Wise, B. G. Aitken, and N. F. Borrelli, J. Opt. Soc. Am. B 12, (1995).
[CrossRef]

E. T. J. Nibbering, M. A. Franco, and A. Mysyrowicz, Opt. Commun. 119, 479 (1995).
[CrossRef]

B. B. Hu and M. C. Nuss, Opt. Lett. 20, 1716 (1995).
[CrossRef]

1994 (1)

1991 (1)

1990 (1)

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

1987 (1)

S. R. Friberg and P. W. Smith, IEEE J. Quantum Electron. QE-23, 12 (1987).

Adamietz, F.

Aitken, B. G.

I. Kang, T. D. Krauss, F. W. Wise, B. G. Aitken, and N. F. Borrelli, J. Opt. Soc. Am. B 12, (1995).
[CrossRef]

Borrelli, N. F.

I. Kang, T. D. Krauss, F. W. Wise, B. G. Aitken, and N. F. Borrelli, J. Opt. Soc. Am. B 12, (1995).
[CrossRef]

Canioni, L.

L. Canioni, M. O. M. Martin, and L. Sarger, Opt. Commun. 151, 241 (1998).
[CrossRef]

Caplan, D.

Carioni, L.

Clement, T. S.

Delong, K. W.

Ducasse, A.

Duchesne, C.

Fargin, E.

Franco, M. A.

E. T. J. Nibbering, M. A. Franco, and A. Mysyrowicz, Opt. Commun. 119, 479 (1995).
[CrossRef]

Friberg, S. R.

S. R. Friberg and P. W. Smith, IEEE J. Quantum Electron. QE-23, 12 (1987).

Fujiwara, S.

Hagan, D. J.

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

Hirao, K.

Hu, B. B.

Kang, I.

I. Kang, T. Krauss, and F. Wise, Opt. Lett. 22, 1077 (1997).
[CrossRef] [PubMed]

I. Kang, T. D. Krauss, F. W. Wise, B. G. Aitken, and N. F. Borrelli, J. Opt. Soc. Am. B 12, (1995).
[CrossRef]

Kanter, G.

Karbara, H.

Kobayashi, T.

Krauss, T.

Krauss, T. D.

I. Kang, T. D. Krauss, F. W. Wise, B. G. Aitken, and N. F. Borrelli, J. Opt. Soc. Am. B 12, (1995).
[CrossRef]

Kumar, P.

Le Flem, G.

Martin, M. O. M.

L. Canioni, M. O. M. Martin, and L. Sarger, Opt. Commun. 151, 241 (1998).
[CrossRef]

Minoshima, K.

Mizarhi, V.

Mysyrowicz, A.

E. T. J. Nibbering, M. A. Franco, and A. Mysyrowicz, Opt. Commun. 119, 479 (1995).
[CrossRef]

Nibbering, E. T. J.

E. T. J. Nibbering, M. A. Franco, and A. Mysyrowicz, Opt. Commun. 119, 479 (1995).
[CrossRef]

Nuss, M. C.

Obzcuaga, R.

Rodriguez, G.

Said, A.

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

Sarger, L.

Segonds, P.

Sheik Bahae, M.

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

Smith, P. W.

S. R. Friberg and P. W. Smith, IEEE J. Quantum Electron. QE-23, 12 (1987).

Stegman, G. I.

Sugimoto, N.

Taiji, M.

Taraka, K.

Taylor, A. J.

Van Stryland, E. W.

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

Wei, T.

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

Wise, F.

Wise, F. W.

I. Kang, T. D. Krauss, F. W. Wise, B. G. Aitken, and N. F. Borrelli, J. Opt. Soc. Am. B 12, (1995).
[CrossRef]

IEEE J. Quantum Electron. (2)

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

S. R. Friberg and P. W. Smith, IEEE J. Quantum Electron. QE-23, 12 (1987).

J. Opt. Soc. Am. B (2)

Opt. Commun. (2)

E. T. J. Nibbering, M. A. Franco, and A. Mysyrowicz, Opt. Commun. 119, 479 (1995).
[CrossRef]

L. Canioni, M. O. M. Martin, and L. Sarger, Opt. Commun. 151, 241 (1998).
[CrossRef]

Opt. Lett. (7)

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Figures (3)

Fig. 1
Fig. 1

Experimental setup: GL1, GL2, Glan prisms used to mix and separate the pump and the probe collinearity; BS, beam splitter with 1% reflection; HP, half-plate that that facilitates the polarization scheme; OPO, optical parametric oscillator. The pump parameters (spectrum, power, pulse duration) are monitored during the acquisition.

Fig. 2
Fig. 2

Transient absorption signal in the SF59 sample versus the pump–probe delay. The time scale corresponds to the duration of the translation stage. The signal amplitude is recorded in volts but represents a 2% transmission charge for the whole scale. The inset shows the mixing between the interferometric fringes that arises from the leakage of the pump and the nonlinear fringes at twice the harmonic.

Fig. 3
Fig. 3

Fourier transform of the previous signal on the SF59 glass. One can see three peaks in this spectrum. The dc contributes to the imaginary part of the nonlinearity involved in the signal. The highest frequency peak represents the nonlinear fringe contribution, which involves both the real and the imaginary parts of the susceptibility. The middle peak comes from the linear interference between the leakage of the pump and the probe beams.

Equations (4)

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

Aprobezz=-3ik0α-iβ8n0Apump2Aprobe*×exp-2iω0τ+2ApumpApump*Aprobe,
ρprober,l2,t=ρprober,-l2,t×exp-3k04n02β+α2+β2sin(2ω0τ-ϕ×-l/2l/2ρpump2r,η,t-τdη,φprober,l2,t=-3k04n02α+α2+β2×cos(2ω0τ-ϕ-l/2l/2ρpump2r,η,t-τdη.
Iτρprobe2+Bλ,w0,lρprobe2ρpump2×expτ2/τ022β+α2+β2sin(2ω0τ-ϕ)+ρpumpleak2+Cρprobeρpumpleak×expτ2/2τ02cosω0τ,
sin ϕ=-βα2+β2.

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