Abstract

Broad bandwidth group match conditions are reported for a noncollinear type I optical parametric process. The theoretical calculations corresponding to two special situations in practice were made, respectively, which are in accordance with the published experimental results. Furthermore, we provide a method to not only achieve maximal parametric bandwidth output but also match the group velocities between three waves.

© 2006 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. R. Danielius, A. Piskarskas, P. Di Trapani, A. Andreoni, C. Solcia, and P. Foggi, "Matching of group velocities by spatial walk-off in collinear three-wave interaction with tilted pulses," Opt. Lett. 21, 973-975 (1996).
    [CrossRef] [PubMed]
  2. F. Hache, M. Cavallari, and G. M. Gale, "Ultrafast visible optical parametric oscillators: a route to tunable sub-10-femtosecond pulses?," Ultrafast Phenomena X, P.F.Barbara, J.G.Fujimoto, W.H.Knox, and W.Zinth, eds., Vol. 62 of Springer Series in Chemical Physics (Springer-Verlag, 1996), pp. 33-35.
    [CrossRef]
  3. T. Wilhelm, J. Piel, and E. Riedle, "Sub-20-fs pulses tunable across the visible from a blue-pumped single-pass noncollinear parametric converter," Opt. Lett. 22, 1494-1496 (1997).
    [CrossRef]
  4. A. Shirakawa and T. Kobayashi, "Noncollinearly phase-matched femtosecond optical parametric amplification with a 2000cm−1 bandwidth," Appl. Phys. Lett. 72, 147-149 (1998).
    [CrossRef]
  5. S. Reisner and M. Gutmann, "Numerical treatment of UV-pumped, white-light-seeded single-pass noncollinear parametric amplifiers," J. Opt. Soc. Am. B 16, 1801-1813 (1999).
    [CrossRef]
  6. E. Riedle, M. Beutter, S. Lochbrunner, J. Piel, S. Schenkl, S. Spörlein, and W. Zinth, "Generation of 10 to 50 fs pulses tunable through all of the visible and the NIR," Appl. Phys. B 71, 457-465 (2000).
    [CrossRef]
  7. X. Zhang, D. Fan, X. Zeng, X. Wei, X. Huang, X. Wang, Q. Zhu, and L. Qian, "Acquiring 1053nm femtosecond laser emission by optical parametric amplification based on supercontinuum white-light injection," Opt. Lett. 31, 646-648 (2006).
    [CrossRef] [PubMed]
  8. R. Urschel, U. Bader, A. Borsutzky, and R. Wallenstein, "Spectral properties and conversion efficiency of 355-nm-pumped pulsed optical parametric oscillators of barium borate with noncollinear phase matching," J. Opt. Soc. Am. B 16, 565-579 (1999).
    [CrossRef]
  9. K. Kato, "Second-harmonic generation to 2048Å in β-BaB2O4," IEEE J. Quantum Electron. 22, 1013-1014 (1986).
    [CrossRef]
  10. S. Lin, Y. Tanaka, and S. Takeuchi, "Tunable picosecond mid-infrared pulses generated by optical parametric generation amplification in MgO:LiNbO3 crystals," Opt. Lett. 21, 579-581 (1996).
    [PubMed]

2006 (1)

2000 (1)

E. Riedle, M. Beutter, S. Lochbrunner, J. Piel, S. Schenkl, S. Spörlein, and W. Zinth, "Generation of 10 to 50 fs pulses tunable through all of the visible and the NIR," Appl. Phys. B 71, 457-465 (2000).
[CrossRef]

1999 (2)

1998 (1)

A. Shirakawa and T. Kobayashi, "Noncollinearly phase-matched femtosecond optical parametric amplification with a 2000cm−1 bandwidth," Appl. Phys. Lett. 72, 147-149 (1998).
[CrossRef]

1997 (1)

1996 (2)

1986 (1)

K. Kato, "Second-harmonic generation to 2048Å in β-BaB2O4," IEEE J. Quantum Electron. 22, 1013-1014 (1986).
[CrossRef]

Andreoni, A.

Bader, U.

Beutter, M.

E. Riedle, M. Beutter, S. Lochbrunner, J. Piel, S. Schenkl, S. Spörlein, and W. Zinth, "Generation of 10 to 50 fs pulses tunable through all of the visible and the NIR," Appl. Phys. B 71, 457-465 (2000).
[CrossRef]

Borsutzky, A.

Cavallari, M.

F. Hache, M. Cavallari, and G. M. Gale, "Ultrafast visible optical parametric oscillators: a route to tunable sub-10-femtosecond pulses?," Ultrafast Phenomena X, P.F.Barbara, J.G.Fujimoto, W.H.Knox, and W.Zinth, eds., Vol. 62 of Springer Series in Chemical Physics (Springer-Verlag, 1996), pp. 33-35.
[CrossRef]

Danielius, R.

Di Trapani, P.

Fan, D.

Foggi, P.

Gale, G. M.

F. Hache, M. Cavallari, and G. M. Gale, "Ultrafast visible optical parametric oscillators: a route to tunable sub-10-femtosecond pulses?," Ultrafast Phenomena X, P.F.Barbara, J.G.Fujimoto, W.H.Knox, and W.Zinth, eds., Vol. 62 of Springer Series in Chemical Physics (Springer-Verlag, 1996), pp. 33-35.
[CrossRef]

Gutmann, M.

Hache, F.

F. Hache, M. Cavallari, and G. M. Gale, "Ultrafast visible optical parametric oscillators: a route to tunable sub-10-femtosecond pulses?," Ultrafast Phenomena X, P.F.Barbara, J.G.Fujimoto, W.H.Knox, and W.Zinth, eds., Vol. 62 of Springer Series in Chemical Physics (Springer-Verlag, 1996), pp. 33-35.
[CrossRef]

Huang, X.

Kato, K.

K. Kato, "Second-harmonic generation to 2048Å in β-BaB2O4," IEEE J. Quantum Electron. 22, 1013-1014 (1986).
[CrossRef]

Kobayashi, T.

A. Shirakawa and T. Kobayashi, "Noncollinearly phase-matched femtosecond optical parametric amplification with a 2000cm−1 bandwidth," Appl. Phys. Lett. 72, 147-149 (1998).
[CrossRef]

Lin, S.

Lochbrunner, S.

E. Riedle, M. Beutter, S. Lochbrunner, J. Piel, S. Schenkl, S. Spörlein, and W. Zinth, "Generation of 10 to 50 fs pulses tunable through all of the visible and the NIR," Appl. Phys. B 71, 457-465 (2000).
[CrossRef]

Piel, J.

E. Riedle, M. Beutter, S. Lochbrunner, J. Piel, S. Schenkl, S. Spörlein, and W. Zinth, "Generation of 10 to 50 fs pulses tunable through all of the visible and the NIR," Appl. Phys. B 71, 457-465 (2000).
[CrossRef]

T. Wilhelm, J. Piel, and E. Riedle, "Sub-20-fs pulses tunable across the visible from a blue-pumped single-pass noncollinear parametric converter," Opt. Lett. 22, 1494-1496 (1997).
[CrossRef]

Piskarskas, A.

Qian, L.

Reisner, S.

Riedle, E.

E. Riedle, M. Beutter, S. Lochbrunner, J. Piel, S. Schenkl, S. Spörlein, and W. Zinth, "Generation of 10 to 50 fs pulses tunable through all of the visible and the NIR," Appl. Phys. B 71, 457-465 (2000).
[CrossRef]

T. Wilhelm, J. Piel, and E. Riedle, "Sub-20-fs pulses tunable across the visible from a blue-pumped single-pass noncollinear parametric converter," Opt. Lett. 22, 1494-1496 (1997).
[CrossRef]

Schenkl, S.

E. Riedle, M. Beutter, S. Lochbrunner, J. Piel, S. Schenkl, S. Spörlein, and W. Zinth, "Generation of 10 to 50 fs pulses tunable through all of the visible and the NIR," Appl. Phys. B 71, 457-465 (2000).
[CrossRef]

Shirakawa, A.

A. Shirakawa and T. Kobayashi, "Noncollinearly phase-matched femtosecond optical parametric amplification with a 2000cm−1 bandwidth," Appl. Phys. Lett. 72, 147-149 (1998).
[CrossRef]

Solcia, C.

Spörlein, S.

E. Riedle, M. Beutter, S. Lochbrunner, J. Piel, S. Schenkl, S. Spörlein, and W. Zinth, "Generation of 10 to 50 fs pulses tunable through all of the visible and the NIR," Appl. Phys. B 71, 457-465 (2000).
[CrossRef]

Takeuchi, S.

Tanaka, Y.

Urschel, R.

Wallenstein, R.

Wang, X.

Wei, X.

Wilhelm, T.

Zeng, X.

Zhang, X.

Zhu, Q.

Zinth, W.

E. Riedle, M. Beutter, S. Lochbrunner, J. Piel, S. Schenkl, S. Spörlein, and W. Zinth, "Generation of 10 to 50 fs pulses tunable through all of the visible and the NIR," Appl. Phys. B 71, 457-465 (2000).
[CrossRef]

Appl. Phys. B (1)

E. Riedle, M. Beutter, S. Lochbrunner, J. Piel, S. Schenkl, S. Spörlein, and W. Zinth, "Generation of 10 to 50 fs pulses tunable through all of the visible and the NIR," Appl. Phys. B 71, 457-465 (2000).
[CrossRef]

Appl. Phys. Lett. (1)

A. Shirakawa and T. Kobayashi, "Noncollinearly phase-matched femtosecond optical parametric amplification with a 2000cm−1 bandwidth," Appl. Phys. Lett. 72, 147-149 (1998).
[CrossRef]

IEEE J. Quantum Electron. (1)

K. Kato, "Second-harmonic generation to 2048Å in β-BaB2O4," IEEE J. Quantum Electron. 22, 1013-1014 (1986).
[CrossRef]

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

Opt. Lett. (4)

Other (1)

F. Hache, M. Cavallari, and G. M. Gale, "Ultrafast visible optical parametric oscillators: a route to tunable sub-10-femtosecond pulses?," Ultrafast Phenomena X, P.F.Barbara, J.G.Fujimoto, W.H.Knox, and W.Zinth, eds., Vol. 62 of Springer Series in Chemical Physics (Springer-Verlag, 1996), pp. 33-35.
[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

Orientation with respect to the crystal axis of wave vectors and Poynting vectors for pump, signal, and idle. Here, α is the angle between k s and k p , β is the angle between k i and k p , θ pm is the PM angle, and ρ is the walk-off angle of the pump.

Fig. 2
Fig. 2

Relationships of α , β , θ pm , ρ , and Δ λ s versus the wavelength of the signal ( λ s ) for the BBO crystal when a pump pulse is at 405 nm .

Fig. 3
Fig. 3

Relationships of α , β , θ pm , ρ , and Δ λ i versus the wavelength of the pump ( λ p ) for the 7% MgO : LiNbO 3 crystal when a signal pulse is at 1053 nm .

Equations (29)

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

Δ k = k p k s k i
ω s + ω i = ω p ,
Δ k = k p k s k i = 0 .
Δ k = Δ k 2 + Δ k 2 .
Δ k = k p k s cos α k i cos β ,
Δ k = k s sin α k i sin β .
Δ k = Δ k ( ω s 0 ) + Δ k ω ω s 0 Δ ω s .
Δ k ( ω s 0 ) = 0 ,
Δ k ω ω s 0 = 0 .
Δ k ω s = k p ω s k s ω s cos α k i ω s cos β + k i sin β β ω s ,
Δ k ω s = Δ k s ω s sin α Δ k i ω s sin β k i cos β β ω s .
k p ω s cos β k s ω s cos ( α + β ) k i ω s = ( k p ω p cos β k i ω i ) ω p ω s + [ k i ω i k s ω s cos ( α + β ) ] = 0 .
k p k s ( ω s 0 ) cos α k i cos β = 0 ,
k s ( ω s 0 ) sin α = k i sin β ,
k i ω i k s ω s cos ( α + β ) = 0 ,
k p ω p cos β k i ω i = 0 .
k j ω j cos Ω k i ω i = 0 ( j = s , p ) .
k i ω i k s ω s cos ( α + β ) = 0 ,
k p k s ( ω s 0 ) cos α k i cos β = 0 ,
k s ( ω s 0 ) sin α = k i sin β .
Δ λ s = 2 π λ 2 c 1 l c 1 2 Δ k ω s 2 .
k p ω p cos β k i ω i = 0 ,
k p ( ω p 0 ) k s cos α k i cos β = 0 ,
k s sin α = k i sin β .
Δ λ i = 2 π λ 2 c 1 l c 1 2 Δ k ω p 2 .
n o 2 = 2.7359 + 0.01878 λ 2 0.01822 0.01354 λ 2 ,
n e 2 = 2.3753 + 0.01224 λ 2 0.01667 0.01516 λ 2 .
n o 2 = 4.86687 + 0.11916 λ 2 0.04263 0.02751 λ 2 ,
n e 2 = 4.54686 + 0.09478 λ 2 0.04539 0.02672 λ 2 .

Metrics