Abstract

A study of chirped-pulse amplification in the presence of large nonlinear phase shifts (as large as 12π) and finite gain bandwidth is presented. Numerical simulations that include the effect of nonlinearity, group-velocity dispersion, higher-order dispersion, and finite gain bandwidth predict the spectral signature of the interplay of nonlinearity with gain shaping. Experimental results obtained for up to 0.4μJ pulse energies from a Yb fiber amplifier agree with the numerical calculations.

© 2006 Optical Society of America

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2005 (2)

2004 (3)

2002 (1)

2001 (1)

2000 (1)

1998 (1)

S. Backus, C. G. Durfee III, M. M. Murnane, and H. C. Kapteyn, Rev. Sci. Instrum. 69, 1207 (1998).
[CrossRef]

1997 (1)

R. Paschotta, J. Nilsson, A. C. Tropper, and D. C. Hanna, IEEE J. Quantum Electron. 33, 1049 (1997).
[CrossRef]

1996 (1)

L. W. Liou and G. Argawal, Opt. Commun. 124, 500 (1996).
[CrossRef]

1995 (1)

1994 (2)

1985 (1)

D. Strickland and G. Mourou, Opt. Commun. 56, 219 (1985).
[CrossRef]

Argawal, G.

L. W. Liou and G. Argawal, Opt. Commun. 124, 500 (1996).
[CrossRef]

Backus, S.

S. Backus, C. G. Durfee III, M. M. Murnane, and H. C. Kapteyn, Rev. Sci. Instrum. 69, 1207 (1998).
[CrossRef]

Broeng, J.

Chang, C. W.

S. Chi, C. W. Chang, and S. Wen, Opt. Commun. 106, 193 (1994).
[CrossRef]

Chang, G.

Chi, S.

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[CrossRef]

Cho, G. C.

Chong, A.

Clausnitzer, T.

Ditmire, T.

Dudley, J. M.

Durfee, C. G.

S. Backus, C. G. Durfee III, M. M. Murnane, and H. C. Kapteyn, Rev. Sci. Instrum. 69, 1207 (1998).
[CrossRef]

Fermann, M. E.

Fuchs, H. J.

Furusawa, K.

Galvanauskas, A.

Hanna, D. C.

R. Paschotta, J. Nilsson, A. C. Tropper, and D. C. Hanna, IEEE J. Quantum Electron. 33, 1049 (1997).
[CrossRef]

Hariharan, A.

Harter, D.

Hartl, I.

Harvey, J. D.

Huang, C.-P.

Imeshev, G.

Jakobsen, C.

Jeong, Y.

Kapteyn, H. C.

S. Backus, C. G. Durfee III, M. M. Murnane, and H. C. Kapteyn, Rev. Sci. Instrum. 69, 1207 (1998).
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J. Zhou, C.-P. Huang, M. M. Murnane, and H. C. Kapteyn, Opt. Lett. 20, 64 (1995).
[CrossRef] [PubMed]

Kley, E. B.

Kruglov, V. I.

Kuznetsova, L.

Liem, A.

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L. W. Liou and G. Argawal, Opt. Commun. 124, 500 (1996).
[CrossRef]

Liu, Zh.

Malinowski, A.

Mourou, G.

D. Strickland and G. Mourou, Opt. Commun. 56, 219 (1985).
[CrossRef]

Murnane, M. M.

S. Backus, C. G. Durfee III, M. M. Murnane, and H. C. Kapteyn, Rev. Sci. Instrum. 69, 1207 (1998).
[CrossRef]

J. Zhou, C.-P. Huang, M. M. Murnane, and H. C. Kapteyn, Opt. Lett. 20, 64 (1995).
[CrossRef] [PubMed]

Nilsson, J.

Nolte, S.

Norris, T. B.

Paschotta, R.

R. Paschotta, J. Nilsson, A. C. Tropper, and D. C. Hanna, IEEE J. Quantum Electron. 33, 1049 (1997).
[CrossRef]

Peacock, A. C.

Perry, M. D.

Petersson, A.

Piper, A.

Price, J. H. V.

Reich, M.

Richardson, D. J.

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Shah, L.

Strickland, D.

D. Strickland and G. Mourou, Opt. Commun. 56, 219 (1985).
[CrossRef]

Stuart, B. C.

Tropper, A. C.

R. Paschotta, J. Nilsson, A. C. Tropper, and D. C. Hanna, IEEE J. Quantum Electron. 33, 1049 (1997).
[CrossRef]

Tunnerman, A.

Tunnermann, A.

Wen, S.

S. Chi, C. W. Chang, and S. Wen, Opt. Commun. 106, 193 (1994).
[CrossRef]

Winful, H. G.

Wise, F. W.

Zellmer, H.

Zhou, J.

Zhou, S.

Zollner, K.

IEEE J. Quantum Electron. (1)

R. Paschotta, J. Nilsson, A. C. Tropper, and D. C. Hanna, IEEE J. Quantum Electron. 33, 1049 (1997).
[CrossRef]

Opt. Commun. (3)

S. Chi, C. W. Chang, and S. Wen, Opt. Commun. 106, 193 (1994).
[CrossRef]

L. W. Liou and G. Argawal, Opt. Commun. 124, 500 (1996).
[CrossRef]

D. Strickland and G. Mourou, Opt. Commun. 56, 219 (1985).
[CrossRef]

Opt. Express (4)

Opt. Lett. (6)

Rev. Sci. Instrum. (1)

S. Backus, C. G. Durfee III, M. M. Murnane, and H. C. Kapteyn, Rev. Sci. Instrum. 69, 1207 (1998).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Experimental setup.

Fig. 2
Fig. 2

Spectra obtained from numerical simulations (a)–(h) and experiment (i)–(l) for indicated values of Φ NL . Dashed curve is the spectrum for the seed pulse; solid curve is the amplified pulse spectrum. Lorential gain model with gain-bandwidth (a)–(d) Δ λ FWHM = 100 nm and (e)–(h) Δ λ FWHM = 12 nm was used in the simulations. Parameters used in the simulations: γ = 4.3 kW 1 m 1 ; β 2 = 230 fs 2 cm .

Fig. 3
Fig. 3

(a), (b) AC measured in the experiment with indicated values of Φ NL ; (c) ratio of the pulse duration Δ τ FWHM measured in the experiment and the FT limited pulse duration for corresponding spectra [Figs. 2i, 2j, 2k, 2l] versus Φ NL for the pulses out of the second amplification stage; (d) pulse duration measured in the experiment versus Φ NL . Curves in (c) and (d) guide the eye.

Equations (2)

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E z + α 2 E + 1 v g E t + i β 2 2 2 E t 2 β 3 6 3 E t 3 i γ E 2 E = 1 2 π χ ( ω ) E ̃ ( z , ω ) exp ( i ω t ) d ω ,
χ ( ω ) = g 0 2 ( ω ω 0 ) T 2 i ( ω ω 0 ) 2 T 2 2 + 1 ,

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