Abstract

Nonlinear X-shaped angle-wavelength spectrum of the generated second-harmonic wave is observed for a collimated femtosecond pulse of a large beam waist, where the spatiotemporal balance is originated from mutual coupling of the effective nonlinear Kerr effects, pulse frequency chirp, and negative phase shift from cascaded quadratic processes with appropriate phase mismatch.

© 2009 Optical Society of America

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[CrossRef]

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Bao, X.

Beckwitt, K.

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Buersing, H.

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Eberle, B.

Franco, M.

Fu, X.

Gabolde, P.

Gu, X.

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Nuter, R.

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Su, W.

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Vasseur, O.

Walker, L.

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Appl. Opt.

J. Opt. Soc. Am. B

Opt. Express

Opt. Lett.

Phys. Rev. E

P. Larsen, M. Sørensen, O. Bang, W. Królikowski, and S. Trillo, Phys. Rev. E 73, 036614 (2006).
[CrossRef]

C. Conti, Phys. Rev. E 68, 016606 (2003).
[CrossRef]

X. Liu, K. Beckwitt, and F. Wise, Phys. Rev. E 62, 1328 (2000).
[CrossRef]

Phys. Rev. Lett.

H. Zeng, J. Wu, H. Xu, K. Wu, and E. Wu, Phys. Rev. Lett. 92, 143903 (2004).
[CrossRef] [PubMed]

M. Kolesik, E. Wright, and J. Moloney, Phys. Rev. Lett. 92, 253901 (2004).
[CrossRef] [PubMed]

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Figures (4)

Fig. 1
Fig. 1

Measured ( θ λ ) spectra of the SH waves under various durations of the incident FW pulse as (a) τ p = 41 , (b) τ p = 234 , (c) τ p = 455 , and (d) τ p = 770 fs , respectively.

Fig. 2
Fig. 2

Measured ( θ λ ) spectra of the SH waves under different phase mismatches Δ k with corresponding nonlinear phase shifts Φ nl in brackets as (a) 9.841 × 10 2 cm 1 ( 1.186 π ) , (b) 1.212 × 10 3 cm 1 ( 0.963 π ) , (c) 1.311 × 10 3 cm 1 ( 0.890 π ) , (d) 1.541 × 10 3 cm 1 ( 0.757 π ) , (e) 1.740 × 10 3 cm 1 ( 0.670 π ) , and (f) 1.941 × 10 3 cm 1 ( 0.601 π ) .

Fig. 3
Fig. 3

Measured ( θ λ ) spectra of the SH waves under different FW intensities as (a) 11.6, (b) 37.0, (c) 86.7, and (d) 124.9 GW / cm 2 .

Fig. 4
Fig. 4

Simulated ( θ λ ) spectra of the SH waves under various durations of the incident FW pulse and phase mismatches as (a) τ p = 40 fs , Δ k = 1.0 × 10 3 cm 1 , (b) τ p = 600 fs , Δ k = 0 cm 1 , and (c) τ p = 600 fs , Δ k = 1.0 × 10 3 cm 1 .

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