Abstract

We present time-resolved measurements of the electronic and the nuclear contributions to the third-order nonlinearities of Ti:sapphire and Cr:LiSGaF. The results suggest that nonlinear refraction in Ti:sapphire is resonantly enhanced relative to that of undoped sapphire. The implications of the nonlinear responses for short-pulse formation are discussed.

© 1998 Optical Society of America

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References

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  1. D. Jung, F. X. Kärtner, N. Matuschek, D. H. Suttner, F. Morier-Genoud, G. Zhang, U. Keller, V. Scheuer, M. Tilsch, and T. Tschudi, Opt. Lett. 22, 1009 (1997).
    [CrossRef] [PubMed]
  2. A. Stingl, M. Lenzner, Ch. Spielmann, F. Krausz, and R. Szipöcs, Opt. Lett. 20, 602 (1995).
    [CrossRef] [PubMed]
  3. V. P. Yanovsky, F. W. Wise, A. Cassanho, and H. P. Jenssen, Opt. Lett. 20, 1304 (1995).
    [CrossRef] [PubMed]
  4. I. T. Sorokina, E. Sorokin, E. Wintner, A. Cassanho, H. P. Jenssen, and R. Szipöcs, Opt. Lett. 22, 1716 (1997).
    [CrossRef]
  5. I. P. Christov, H. C. Kapteyn, M. M. Murnane, Ch.-P. Huang, and J. Zhou, Opt. Lett. 20, 309 (1995).
    [CrossRef] [PubMed]
  6. A. Cassanho, V. K. Castillo, G. J. Quarles, H. P. Jenssen, S. Buchter, A. Bustamante, and D. Hagan, in LEOS ’96 Conference Proceedings (IEEE, Piscataway, N.J., 1996), Vol. 1, p. 96.
  7. I. T. Sorokina, E. Sorokin, E. Wintner, A. Cassanho, and H. P. Jenssen, in Advanced Solid State Lasers, W. R. Bosenberg and M. M. Fejer, eds., Vol. 19 of OSA Proceedings Series (Optical Society of America, Washington, D.C., 1998), p. 400.
  8. H. A. Haus, I. Sorokina, and E. Sorokin, J. Opt. Soc. Am. B 15, 223 (1998).
    [CrossRef]
  9. R. H. Stolen and W. J. Tomlinson, J. Opt. Soc. Am. B 9, 565 (1992).
    [CrossRef]
  10. I. Kang, T. Krauss, and F. Wise, Opt. Lett. 22, 1077 (1997).
    [CrossRef] [PubMed]
  11. R. Adair, L. L. Chase, and S. A. Payne, Phys. Rev. B 39, 3337 (1989).
    [CrossRef]

1998 (1)

1997 (3)

1995 (3)

1992 (1)

1989 (1)

R. Adair, L. L. Chase, and S. A. Payne, Phys. Rev. B 39, 3337 (1989).
[CrossRef]

Adair, R.

R. Adair, L. L. Chase, and S. A. Payne, Phys. Rev. B 39, 3337 (1989).
[CrossRef]

Buchter, S.

A. Cassanho, V. K. Castillo, G. J. Quarles, H. P. Jenssen, S. Buchter, A. Bustamante, and D. Hagan, in LEOS ’96 Conference Proceedings (IEEE, Piscataway, N.J., 1996), Vol. 1, p. 96.

Bustamante, A.

A. Cassanho, V. K. Castillo, G. J. Quarles, H. P. Jenssen, S. Buchter, A. Bustamante, and D. Hagan, in LEOS ’96 Conference Proceedings (IEEE, Piscataway, N.J., 1996), Vol. 1, p. 96.

Cassanho, A.

I. T. Sorokina, E. Sorokin, E. Wintner, A. Cassanho, H. P. Jenssen, and R. Szipöcs, Opt. Lett. 22, 1716 (1997).
[CrossRef]

V. P. Yanovsky, F. W. Wise, A. Cassanho, and H. P. Jenssen, Opt. Lett. 20, 1304 (1995).
[CrossRef] [PubMed]

I. T. Sorokina, E. Sorokin, E. Wintner, A. Cassanho, and H. P. Jenssen, in Advanced Solid State Lasers, W. R. Bosenberg and M. M. Fejer, eds., Vol. 19 of OSA Proceedings Series (Optical Society of America, Washington, D.C., 1998), p. 400.

A. Cassanho, V. K. Castillo, G. J. Quarles, H. P. Jenssen, S. Buchter, A. Bustamante, and D. Hagan, in LEOS ’96 Conference Proceedings (IEEE, Piscataway, N.J., 1996), Vol. 1, p. 96.

Castillo, V. K.

A. Cassanho, V. K. Castillo, G. J. Quarles, H. P. Jenssen, S. Buchter, A. Bustamante, and D. Hagan, in LEOS ’96 Conference Proceedings (IEEE, Piscataway, N.J., 1996), Vol. 1, p. 96.

Chase, L. L.

R. Adair, L. L. Chase, and S. A. Payne, Phys. Rev. B 39, 3337 (1989).
[CrossRef]

Christov, I. P.

Hagan, D.

A. Cassanho, V. K. Castillo, G. J. Quarles, H. P. Jenssen, S. Buchter, A. Bustamante, and D. Hagan, in LEOS ’96 Conference Proceedings (IEEE, Piscataway, N.J., 1996), Vol. 1, p. 96.

Haus, H. A.

Huang, Ch.-P.

Jenssen, H. P.

I. T. Sorokina, E. Sorokin, E. Wintner, A. Cassanho, H. P. Jenssen, and R. Szipöcs, Opt. Lett. 22, 1716 (1997).
[CrossRef]

V. P. Yanovsky, F. W. Wise, A. Cassanho, and H. P. Jenssen, Opt. Lett. 20, 1304 (1995).
[CrossRef] [PubMed]

I. T. Sorokina, E. Sorokin, E. Wintner, A. Cassanho, and H. P. Jenssen, in Advanced Solid State Lasers, W. R. Bosenberg and M. M. Fejer, eds., Vol. 19 of OSA Proceedings Series (Optical Society of America, Washington, D.C., 1998), p. 400.

A. Cassanho, V. K. Castillo, G. J. Quarles, H. P. Jenssen, S. Buchter, A. Bustamante, and D. Hagan, in LEOS ’96 Conference Proceedings (IEEE, Piscataway, N.J., 1996), Vol. 1, p. 96.

Jung, D.

Kang, I.

Kapteyn, H. C.

Kärtner, F. X.

Keller, U.

Krauss, T.

Krausz, F.

Lenzner, M.

Matuschek, N.

Morier-Genoud, F.

Murnane, M. M.

Payne, S. A.

R. Adair, L. L. Chase, and S. A. Payne, Phys. Rev. B 39, 3337 (1989).
[CrossRef]

Quarles, G. J.

A. Cassanho, V. K. Castillo, G. J. Quarles, H. P. Jenssen, S. Buchter, A. Bustamante, and D. Hagan, in LEOS ’96 Conference Proceedings (IEEE, Piscataway, N.J., 1996), Vol. 1, p. 96.

Scheuer, V.

Sorokin, E.

H. A. Haus, I. Sorokina, and E. Sorokin, J. Opt. Soc. Am. B 15, 223 (1998).
[CrossRef]

I. T. Sorokina, E. Sorokin, E. Wintner, A. Cassanho, H. P. Jenssen, and R. Szipöcs, Opt. Lett. 22, 1716 (1997).
[CrossRef]

I. T. Sorokina, E. Sorokin, E. Wintner, A. Cassanho, and H. P. Jenssen, in Advanced Solid State Lasers, W. R. Bosenberg and M. M. Fejer, eds., Vol. 19 of OSA Proceedings Series (Optical Society of America, Washington, D.C., 1998), p. 400.

Sorokina, I.

Sorokina, I. T.

I. T. Sorokina, E. Sorokin, E. Wintner, A. Cassanho, H. P. Jenssen, and R. Szipöcs, Opt. Lett. 22, 1716 (1997).
[CrossRef]

I. T. Sorokina, E. Sorokin, E. Wintner, A. Cassanho, and H. P. Jenssen, in Advanced Solid State Lasers, W. R. Bosenberg and M. M. Fejer, eds., Vol. 19 of OSA Proceedings Series (Optical Society of America, Washington, D.C., 1998), p. 400.

Spielmann, Ch.

Stingl, A.

Stolen, R. H.

Suttner, D. H.

Szipöcs, R.

Tilsch, M.

Tomlinson, W. J.

Tschudi, T.

Wintner, E.

I. T. Sorokina, E. Sorokin, E. Wintner, A. Cassanho, H. P. Jenssen, and R. Szipöcs, Opt. Lett. 22, 1716 (1997).
[CrossRef]

I. T. Sorokina, E. Sorokin, E. Wintner, A. Cassanho, and H. P. Jenssen, in Advanced Solid State Lasers, W. R. Bosenberg and M. M. Fejer, eds., Vol. 19 of OSA Proceedings Series (Optical Society of America, Washington, D.C., 1998), p. 400.

Wise, F.

Wise, F. W.

Yanovsky, V. P.

Zhang, G.

Zhou, J.

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Figures (4)

Fig. 1
Fig. 1

SRTBC signal of Ti:sapphire at detuning δ=0.75σ, where σ is the FWHM of the laser spectrum, measured with 17-fs pulses. The inset shows the signals for Ti:sapphire (solid curve) and SF59 (dashed curve), measured with 75-fs pulses.

Fig. 2
Fig. 2

(a) SRTBC signal and (b) TPA in Cr:LiSGaF, measured with 17-fs pulses.

Fig. 3
Fig. 3

Vibrational component of Ti:sapphire. The dashed curve is the calculated signal obtained with Eq.  (3) with parameters from the measured Raman spectrum (Fig.  4). The curves are displaced vertically for clarity.

Fig. 4
Fig. 4

Raman spectra of Ti:sapphire and Cr:LiSGaF, with excitation at 514  nm. The curves are broadened slightly by the resolution of the spectrograph.

Tables (1)

Tables Icon

Table 1 Nonlinear Electronic Response Parameters of Ti:Sapphire and Cr:LiSGaFa

Equations (3)

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Rt=R sinΩt+iR cosΩtexp-t/TR.
ΔTTelδ,τ=23LeffIpump0 exp-τ/3t02exp13δ2t02×2kγ sinδτ-β cosδτ,
ΔTTnucδ,τ,Ω=-LefffIpump0,Ω×exp-12Ω2t02-τ/TR×cosΩτ2kR sinhδΩt02+R coshδΩt02,

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