Abstract

We have theoretically analyzed the characteristics of an optical parametric amplifier system seeded by an optical parametric generation. We investigated the influences of the energy, pulse duration, material dispersion, and the third-order nonlinear effect in β-barium borate. The group-velocity mismatch (GVM) becomes the most important factor for the amplification of bandwidths. Even though tilting the wave front of the pump can decrease the GVM, it seems impossible to generate pulses smaller than 10-fs with 400-nm pumping. However, 10-fs pulses can be achieved with a 30-fs pump duration with pumping at 800 nm.

© 2002 Optical Society of America

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References

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  1. G. Cerullo, M. Nisoli, S. Stagira, S. De Silvestri, “Sub-8-fs pulses from an ultrabroadband optical parametric amplifier in the visible,” Opt. Lett. 23, 1283–1285 (1998).
    [CrossRef]
  2. A. Shirakawa, I. Sakane, T. Kobayashi, “Pulse-front-matched optical parametric amplification for sub-10-fs pulse generation tunable in the visible and near infrared,” Opt. Lett. 23, 1292–1294 (1998).
    [CrossRef]
  3. T. Wilhelm, J. Piel, E. Riedle, “Sub-20-fs pulses tunable across the visible from a blue-pumped single-pass noncollinear parametric conversion,” Opt. Lett. 22, 1494–1496 (1997).
    [CrossRef]
  4. A. Shirakawa, I. Sakane, M. Takasaka, T. Kobayashi, “Sub-5-fs visible generation by pulse-front-matched noncollinear optical parametric amplification,” Appl. Phys. Lett. 74, 2268–2270 (1999).
    [CrossRef]
  5. M. Nisoli, S. Stagira, S. De Silvestri, O. Svelto, G. Valiulis, A. Varanavicius, “Parametric generation of high-energy 14.5-fs light pulses at 1.5 µm,” Opt. Lett. 23, 630–632 (1998).
    [CrossRef]
  6. T. Nishikawa, N. Uesugi, “Effects of walk-off and group velocity difference on optical parametric generation in KTiOPO4 crystals,” J. Appl. Phys. 77, 4941–4947 (1995).
    [CrossRef]
  7. G. M. Gale, F. Hache, “Femtosecond visible optical parametric oscillator,” J. Opt. Soc. Am. B 15, 702–714 (1998).
    [CrossRef]
  8. S. Reisner, 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]
  9. G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 2001).
  10. D. Q. Pang, R. B. Zhang, Q. Y. Wang, “Theoretical analysis of noncollinear phase-matched optical parametric amplifier seeded by a white-light continuum,” Opt. Commun. 196, 293–298 (2001).
    [CrossRef]

2001

D. Q. Pang, R. B. Zhang, Q. Y. Wang, “Theoretical analysis of noncollinear phase-matched optical parametric amplifier seeded by a white-light continuum,” Opt. Commun. 196, 293–298 (2001).
[CrossRef]

1999

S. Reisner, 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]

A. Shirakawa, I. Sakane, M. Takasaka, T. Kobayashi, “Sub-5-fs visible generation by pulse-front-matched noncollinear optical parametric amplification,” Appl. Phys. Lett. 74, 2268–2270 (1999).
[CrossRef]

1998

1997

1995

T. Nishikawa, N. Uesugi, “Effects of walk-off and group velocity difference on optical parametric generation in KTiOPO4 crystals,” J. Appl. Phys. 77, 4941–4947 (1995).
[CrossRef]

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 2001).

Cerullo, G.

De Silvestri, S.

Gale, G. M.

Gutmann, M.

Hache, F.

Kobayashi, T.

A. Shirakawa, I. Sakane, M. Takasaka, T. Kobayashi, “Sub-5-fs visible generation by pulse-front-matched noncollinear optical parametric amplification,” Appl. Phys. Lett. 74, 2268–2270 (1999).
[CrossRef]

A. Shirakawa, I. Sakane, T. Kobayashi, “Pulse-front-matched optical parametric amplification for sub-10-fs pulse generation tunable in the visible and near infrared,” Opt. Lett. 23, 1292–1294 (1998).
[CrossRef]

Nishikawa, T.

T. Nishikawa, N. Uesugi, “Effects of walk-off and group velocity difference on optical parametric generation in KTiOPO4 crystals,” J. Appl. Phys. 77, 4941–4947 (1995).
[CrossRef]

Nisoli, M.

Pang, D. Q.

D. Q. Pang, R. B. Zhang, Q. Y. Wang, “Theoretical analysis of noncollinear phase-matched optical parametric amplifier seeded by a white-light continuum,” Opt. Commun. 196, 293–298 (2001).
[CrossRef]

Piel, J.

Reisner, S.

Riedle, E.

Sakane, I.

A. Shirakawa, I. Sakane, M. Takasaka, T. Kobayashi, “Sub-5-fs visible generation by pulse-front-matched noncollinear optical parametric amplification,” Appl. Phys. Lett. 74, 2268–2270 (1999).
[CrossRef]

A. Shirakawa, I. Sakane, T. Kobayashi, “Pulse-front-matched optical parametric amplification for sub-10-fs pulse generation tunable in the visible and near infrared,” Opt. Lett. 23, 1292–1294 (1998).
[CrossRef]

Shirakawa, A.

A. Shirakawa, I. Sakane, M. Takasaka, T. Kobayashi, “Sub-5-fs visible generation by pulse-front-matched noncollinear optical parametric amplification,” Appl. Phys. Lett. 74, 2268–2270 (1999).
[CrossRef]

A. Shirakawa, I. Sakane, T. Kobayashi, “Pulse-front-matched optical parametric amplification for sub-10-fs pulse generation tunable in the visible and near infrared,” Opt. Lett. 23, 1292–1294 (1998).
[CrossRef]

Stagira, S.

Svelto, O.

Takasaka, M.

A. Shirakawa, I. Sakane, M. Takasaka, T. Kobayashi, “Sub-5-fs visible generation by pulse-front-matched noncollinear optical parametric amplification,” Appl. Phys. Lett. 74, 2268–2270 (1999).
[CrossRef]

Uesugi, N.

T. Nishikawa, N. Uesugi, “Effects of walk-off and group velocity difference on optical parametric generation in KTiOPO4 crystals,” J. Appl. Phys. 77, 4941–4947 (1995).
[CrossRef]

Valiulis, G.

Varanavicius, A.

Wang, Q. Y.

D. Q. Pang, R. B. Zhang, Q. Y. Wang, “Theoretical analysis of noncollinear phase-matched optical parametric amplifier seeded by a white-light continuum,” Opt. Commun. 196, 293–298 (2001).
[CrossRef]

Wilhelm, T.

Zhang, R. B.

D. Q. Pang, R. B. Zhang, Q. Y. Wang, “Theoretical analysis of noncollinear phase-matched optical parametric amplifier seeded by a white-light continuum,” Opt. Commun. 196, 293–298 (2001).
[CrossRef]

Appl. Phys. Lett.

A. Shirakawa, I. Sakane, M. Takasaka, T. Kobayashi, “Sub-5-fs visible generation by pulse-front-matched noncollinear optical parametric amplification,” Appl. Phys. Lett. 74, 2268–2270 (1999).
[CrossRef]

J. Appl. Phys.

T. Nishikawa, N. Uesugi, “Effects of walk-off and group velocity difference on optical parametric generation in KTiOPO4 crystals,” J. Appl. Phys. 77, 4941–4947 (1995).
[CrossRef]

J. Opt. Soc. Am. B

Opt. Commun.

D. Q. Pang, R. B. Zhang, Q. Y. Wang, “Theoretical analysis of noncollinear phase-matched optical parametric amplifier seeded by a white-light continuum,” Opt. Commun. 196, 293–298 (2001).
[CrossRef]

Opt. Lett.

Other

G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 2001).

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Figures (6)

Fig. 1
Fig. 1

Dependence of the durations of signal and idler on pump duration. Pump intensity, 1 TW/cm2; seed duration, 30 fs.

Fig. 2
Fig. 2

Dependence of the durations of signal and idler on seed duration. Pump intensity, 1 TW/cm2; pump duration, 50 fs.

Fig. 3
Fig. 3

Dependence of signal-conversion coefficient and duration on seed energy. Pump intensity, 1 TW/cm2; pump duration, 50 fs.

Fig. 4
Fig. 4

Influence of material dispersion on pump intensities (a) 1 TW/cm2 and (b) 100 GW/cm2. Pump duration, 50 fs; seed duration, 10 fs.

Fig. 5
Fig. 5

Signal temporal shapes at 1500-nm signal wavelength. Pump wavelength, 800 nm; pump intensity, 1 TW/cm2; pump duration, 30 fs.

Fig. 6
Fig. 6

Influence of the third-order nonlinear effect in 1-mm BBO. Pump intensity, 1 TW/cm2; pump duration, 20 fs; signal duration, 10 fs. (a) Temporal shape at a small signal, (b) temporal shape when the pump becomes depleted, (c) spectral shape at a small signal, (d) spectral shape when the pump becomes depleted compared with the shape with a small signal.

Equations (2)

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zs+ssxsszxs+ssysszys+1vgst+i2 β2s2t2-16 β3s3t3As=i ωsdeffnsc ApAi* exp+iΔkz+θ0zi+sixsizxi+siysizyi+1vgit+i2 β2i2t2-16 β3i3t3Ai=i ωideffnic ApAs* exp+iΔkz+θ0zp+spxspzxp+spyspzyp+1vgpt+i2 β2p2t2-16 β3p3t3Ap=i ωpdeffnpc AsAi exp-iΔkz-θ0Ej=Aj expikjz-ωjt, j=p, s, i,
β2j=-1vgj2dvgidωj

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