Abstract

The wave-front distortion of femtosecond laser pulses recorded with a Shack–Hartmann analyzer makes it possible to retrieve the nonlinear index of refraction of different glasses and the nonlinear phase shift induced during second-harmonic generation in β-barium borate (BBO) crystal versus the phase mismatch. It is shown that the nonlinear phase shift induced in a 2-mm-thick BBO crystal allows compensation for up to a 2π breakup-integral induced in a 4-cm fused-silica glass. The stability of the compensation is reported to be from 10 to 100 GW cm-2.

© 2004 Optical Society of America

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References

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    [CrossRef]
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    [CrossRef]
  7. S. Montant, “Etude des non linéarité optiques d’ordre deux et trois de verres,” Ph.D. dissertation (Université Bordeaux 1, Talence, France, 1999).
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    [CrossRef] [PubMed]
  9. O. Morice, Opt. Eng. 42, 1530 (2003).
    [CrossRef]

2003 (1)

O. Morice, Opt. Eng. 42, 1530 (2003).
[CrossRef]

2001 (2)

2000 (1)

1999 (1)

1992 (1)

1978 (1)

N. L. Boling, A. J. Glass, and A. Owyoung, IEEE J. Quantum Electron. 14, 601 (1978).
[CrossRef]

1967 (1)

L. A. Ostrovskii, JETP Lett. 5, 272 (1967).

Beckwitt, K.

Boling, N. L.

N. L. Boling, A. J. Glass, and A. Owyoung, IEEE J. Quantum Electron. 14, 601 (1978).
[CrossRef]

Bourgeade, A.

Canto-Said, E.

Caumes, J. P.

Cussat-Blanc, S.

DeSalvo, R.

Freysz, E.

Garnier, J.

Glass, A. J.

N. L. Boling, A. J. Glass, and A. Owyoung, IEEE J. Quantum Electron. 14, 601 (1978).
[CrossRef]

Hagan, D. J.

Liu, X.

Migus, A.

Montant, S.

S. Montant, “Etude des non linéarité optiques d’ordre deux et trois de verres,” Ph.D. dissertation (Université Bordeaux 1, Talence, France, 1999).

Morice, O.

O. Morice, Opt. Eng. 42, 1530 (2003).
[CrossRef]

Olivie, G.

Ostrovskii, L. A.

L. A. Ostrovskii, JETP Lett. 5, 272 (1967).

Owyoung, A.

N. L. Boling, A. J. Glass, and A. Owyoung, IEEE J. Quantum Electron. 14, 601 (1978).
[CrossRef]

Qian, L.

Rouyer, Cl.

Sheick-Bahae, M.

Stegeman, G.

Van Stryland, E. W.

Vanderzeele, H.

Videau, L.

Walker, L. A.

Wise, F.

IEEE J. Quantum Electron. (1)

N. L. Boling, A. J. Glass, and A. Owyoung, IEEE J. Quantum Electron. 14, 601 (1978).
[CrossRef]

J. Opt. Soc. Am. B (1)

JETP Lett. (1)

L. A. Ostrovskii, JETP Lett. 5, 272 (1967).

Opt. Eng. (1)

O. Morice, Opt. Eng. 42, 1530 (2003).
[CrossRef]

Opt. Express (1)

Opt. Lett. (3)

Other (1)

S. Montant, “Etude des non linéarité optiques d’ordre deux et trois de verres,” Ph.D. dissertation (Université Bordeaux 1, Talence, France, 1999).

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Figures (4)

Fig. 1
Fig. 1

Experimental setup.

Fig. 2
Fig. 2

(a) Typical phase measurement and wave-front curvature induced in a 4-cm-thick fused-silica sample (I=25 GW cm-2). (b) Evolution of the B integral induced in a 4-cm-thick fused-silica sample (filled circles) and in an 8-mm-thick SF57 glass (filled squares).

Fig. 3
Fig. 3

Experimental (circles) and computed (solid curve) evolution of the B integral induced in a 2-mm-thick BBO crystal versus Δk (I=16 GW cm-2).

Fig. 4
Fig. 4

(a) Initial wave front in front of the fused-silica glass. After the fused silica, the wave front resembles the one presented in Fig. 2(a). (b) Compensated wave front after beam propagation in the fused-silica glass and the BBO crystal set at Δk=-38 cm-1 for I=16 GW cm-2. (c) Evolution of the B integral at the exit of the fused-silica glass alone (dashed line) and at the exit of the fused-silica glass and the BBO crystal set at Δk=-38 cm-1 (filled squares) and Δk=+38 cm-1 (filled circles). The solid lines are a guide for the eyes.

Equations (2)

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z+i2k1ΔE1r,z,t=iσdeffE1*r,z,tE2r,z,t×expiΔkz+χ32E1r,z,t2+2E2r,z,t2E1r,z,t,
z+i2k2ΔE2r,z,t=iσdeffE12r,z,texp-iΔkz+χ32E2r,z,t2+2E1r,z,t2E2r,z,t,

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