Abstract

We retrieve the spectral phase of 400fs pulses at 1560nm with 5.2aJ coupled pulse energy (40 photons) by the modified interferometric field autocorrelation method, using a pulse shaper and a 5cm long periodically poled lithium niobate waveguide. The carrier-envelope phase control of the shaper can reduce the fringe density of the interferometric trace and permits longer lock-in time constants, achieving a sensitivity of 2.7×109mW2 (40 times better than the previous record for self-referenced nonlinear pulse measurement). The high stability of the pulse shaper allows for accurate and reproducible measurements of complicated spectral phases.

© 2011 Optical Society of America

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C.-S. Hsu, Y.-H. Lee, A. Yabushita, T. Kobayashi, and S.-D. Yang, Opt. Lett. 36, 2041 (2011).
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2010

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2008

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2003

2002

N. Dudovich, D. Oron, and Y. Silberberg, Nature 418, 512(2002).
[CrossRef] [PubMed]

1996

M. M. Wefers and K. A. Nelson, IEEE J. Quantum Electron. 32, 161 (1996).
[CrossRef]

Borukhovich, I.

Buckup, T.

Chan, H.-S.

H.-S. Chan, Z.-M. Hsieh, W.-H. Liang, A. H. Kung, C.-K. Lee, C.-J. Lai, R.-P. Pan, and L.-H. Peng, Science 331, 1165(2011).
[CrossRef] [PubMed]

Chen, W.-J.

W.-J. Chen, J.-M. Hsieh, S.-W. Huang, H.-Y. Su, C.-J. Lai, T.-T. Tang, C.-H. Lin, C.-K. Lee, R.-P. Pan, C.-L. Pan, and A. H. Kung, Phys. Rev. Lett. 100, 163906 (2008).
[CrossRef] [PubMed]

Chuang, H.-P.

Coello, Y.

Cundiff, S.

S. Cundiff and A. M. Weiner, Nat. Photon. 4, 760 (2010).
[CrossRef]

Dantus, M.

Dudovich, N.

N. Dudovich, D. Oron, and Y. Silberberg, Nature 418, 512(2002).
[CrossRef] [PubMed]

Fejer, M. M.

Feurer, T.

A. Galler and T. Feurer, Appl. Phys. B 90, 427 (2008).
[CrossRef]

Fraser, J. M.

Galler, A.

A. Galler and T. Feurer, Appl. Phys. B 90, 427 (2008).
[CrossRef]

Gunaratne, T. C.

Hsieh, J.-M.

W.-J. Chen, J.-M. Hsieh, S.-W. Huang, H.-Y. Su, C.-J. Lai, T.-T. Tang, C.-H. Lin, C.-K. Lee, R.-P. Pan, C.-L. Pan, and A. H. Kung, Phys. Rev. Lett. 100, 163906 (2008).
[CrossRef] [PubMed]

Hsieh, Z.-M.

H.-S. Chan, Z.-M. Hsieh, W.-H. Liang, A. H. Kung, C.-K. Lee, C.-J. Lai, R.-P. Pan, and L.-H. Peng, Science 331, 1165(2011).
[CrossRef] [PubMed]

Hsu, C.-S.

Huang, C.-B.

Huang, S.-W.

W.-J. Chen, J.-M. Hsieh, S.-W. Huang, H.-Y. Su, C.-J. Lai, T.-T. Tang, C.-H. Lin, C.-K. Lee, R.-P. Pan, C.-L. Pan, and A. H. Kung, Phys. Rev. Lett. 100, 163906 (2008).
[CrossRef] [PubMed]

Joffre, M.

Kobayashi, T.

Kung, A. H.

H.-S. Chan, Z.-M. Hsieh, W.-H. Liang, A. H. Kung, C.-K. Lee, C.-J. Lai, R.-P. Pan, and L.-H. Peng, Science 331, 1165(2011).
[CrossRef] [PubMed]

W.-J. Chen, J.-M. Hsieh, S.-W. Huang, H.-Y. Su, C.-J. Lai, T.-T. Tang, C.-H. Lin, C.-K. Lee, R.-P. Pan, C.-L. Pan, and A. H. Kung, Phys. Rev. Lett. 100, 163906 (2008).
[CrossRef] [PubMed]

Lai, C.-J.

H.-S. Chan, Z.-M. Hsieh, W.-H. Liang, A. H. Kung, C.-K. Lee, C.-J. Lai, R.-P. Pan, and L.-H. Peng, Science 331, 1165(2011).
[CrossRef] [PubMed]

W.-J. Chen, J.-M. Hsieh, S.-W. Huang, H.-Y. Su, C.-J. Lai, T.-T. Tang, C.-H. Lin, C.-K. Lee, R.-P. Pan, C.-L. Pan, and A. H. Kung, Phys. Rev. Lett. 100, 163906 (2008).
[CrossRef] [PubMed]

Langrock, C.

Lee, C.-K.

H.-S. Chan, Z.-M. Hsieh, W.-H. Liang, A. H. Kung, C.-K. Lee, C.-J. Lai, R.-P. Pan, and L.-H. Peng, Science 331, 1165(2011).
[CrossRef] [PubMed]

W.-J. Chen, J.-M. Hsieh, S.-W. Huang, H.-Y. Su, C.-J. Lai, T.-T. Tang, C.-H. Lin, C.-K. Lee, R.-P. Pan, C.-L. Pan, and A. H. Kung, Phys. Rev. Lett. 100, 163906 (2008).
[CrossRef] [PubMed]

Lee, Y.-H.

Liang, W.-H.

H.-S. Chan, Z.-M. Hsieh, W.-H. Liang, A. H. Kung, C.-K. Lee, C.-J. Lai, R.-P. Pan, and L.-H. Peng, Science 331, 1165(2011).
[CrossRef] [PubMed]

Lin, C.-H.

W.-J. Chen, J.-M. Hsieh, S.-W. Huang, H.-Y. Su, C.-J. Lai, T.-T. Tang, C.-H. Lin, C.-K. Lee, R.-P. Pan, C.-L. Pan, and A. H. Kung, Phys. Rev. Lett. 100, 163906 (2008).
[CrossRef] [PubMed]

Lin, S.-L.

Lin, Y.-S.

Lozovoy, V. V.

Miao, H.

Möhring, J.

Motzkus, M.

Nelson, K. A.

M. M. Wefers and K. A. Nelson, IEEE J. Quantum Electron. 32, 161 (1996).
[CrossRef]

Oron, D.

N. Dudovich, D. Oron, and Y. Silberberg, Nature 418, 512(2002).
[CrossRef] [PubMed]

Pan, C.-L.

W.-J. Chen, J.-M. Hsieh, S.-W. Huang, H.-Y. Su, C.-J. Lai, T.-T. Tang, C.-H. Lin, C.-K. Lee, R.-P. Pan, C.-L. Pan, and A. H. Kung, Phys. Rev. Lett. 100, 163906 (2008).
[CrossRef] [PubMed]

Pan, R.-P.

H.-S. Chan, Z.-M. Hsieh, W.-H. Liang, A. H. Kung, C.-K. Lee, C.-J. Lai, R.-P. Pan, and L.-H. Peng, Science 331, 1165(2011).
[CrossRef] [PubMed]

W.-J. Chen, J.-M. Hsieh, S.-W. Huang, H.-Y. Su, C.-J. Lai, T.-T. Tang, C.-H. Lin, C.-K. Lee, R.-P. Pan, C.-L. Pan, and A. H. Kung, Phys. Rev. Lett. 100, 163906 (2008).
[CrossRef] [PubMed]

Peng, L.-H.

H.-S. Chan, Z.-M. Hsieh, W.-H. Liang, A. H. Kung, C.-K. Lee, C.-J. Lai, R.-P. Pan, and L.-H. Peng, Science 331, 1165(2011).
[CrossRef] [PubMed]

Roussev, R. V.

Silberberg, Y.

N. Dudovich, D. Oron, and Y. Silberberg, Nature 418, 512(2002).
[CrossRef] [PubMed]

Su, H.-Y.

W.-J. Chen, J.-M. Hsieh, S.-W. Huang, H.-Y. Su, C.-J. Lai, T.-T. Tang, C.-H. Lin, C.-K. Lee, R.-P. Pan, C.-L. Pan, and A. H. Kung, Phys. Rev. Lett. 100, 163906 (2008).
[CrossRef] [PubMed]

Tang, T.-T.

W.-J. Chen, J.-M. Hsieh, S.-W. Huang, H.-Y. Su, C.-J. Lai, T.-T. Tang, C.-H. Lin, C.-K. Lee, R.-P. Pan, C.-L. Pan, and A. H. Kung, Phys. Rev. Lett. 100, 163906 (2008).
[CrossRef] [PubMed]

Tseng, C. H.

Ventalon, C.

von Vacano, B.

Wefers, M. M.

M. M. Wefers and K. A. Nelson, IEEE J. Quantum Electron. 32, 161 (1996).
[CrossRef]

Weinacht, T.

Weiner, A. M.

Xu, B. W.

Yabushita, A.

Yang, L.-F.

Yang, S.-D.

Appl. Phys. B

A. Galler and T. Feurer, Appl. Phys. B 90, 427 (2008).
[CrossRef]

IEEE J. Quantum Electron.

M. M. Wefers and K. A. Nelson, IEEE J. Quantum Electron. 32, 161 (1996).
[CrossRef]

J. Opt. Soc. Am. B

Nat. Photon.

S. Cundiff and A. M. Weiner, Nat. Photon. 4, 760 (2010).
[CrossRef]

Nature

N. Dudovich, D. Oron, and Y. Silberberg, Nature 418, 512(2002).
[CrossRef] [PubMed]

Opt. Express

Opt. Lett.

Phys. Rev. Lett.

W.-J. Chen, J.-M. Hsieh, S.-W. Huang, H.-Y. Su, C.-J. Lai, T.-T. Tang, C.-H. Lin, C.-K. Lee, R.-P. Pan, C.-L. Pan, and A. H. Kung, Phys. Rev. Lett. 100, 163906 (2008).
[CrossRef] [PubMed]

Science

H.-S. Chan, Z.-M. Hsieh, W.-H. Liang, A. H. Kung, C.-K. Lee, C.-J. Lai, R.-P. Pan, and L.-H. Peng, Science 331, 1165(2011).
[CrossRef] [PubMed]

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Figures (4)

Fig. 1
Fig. 1

Experimental setup. PBS, polarization beam splitter; SLM, spatial light modulator; PC, polarization controller; PMT, photomultiplier tube.

Fig. 2
Fig. 2

Quadratic spectral phase coefficient measured by the shaper-assisted MIFA at different β values (solid curves), where the full length of each error bar represents the standard deviation of six measurements. The standard deviation is independently shown (dashed curve).

Fig. 3
Fig. 3

Spectral phase profiles retrieved by the shaper-assisted MIFA at β = 0.038 and input average powers of 0.8 μW (solid curve) and 0.26 nW (open circles), respectively. The inset shows the temporal intensity arising from the retrieved spectral phase and the power spectrum measured by OSA (dashed curve).

Fig. 4
Fig. 4

Experimentally retrieved spectral phases (open circles) corresponding to the application of: (a) cubic phase, (b) square phase, and (c) sinusoidal phase (solid curve), respectively. For comparison, the signal power spectrum is indicated as the gray shaded area.

Equations (2)

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M ( f ) = 1 2 { 1 + e j 2 π [ f ( 1 β ) × f 0 ] τ } ,
ψ ( f 2 Δ ) ψ ( f ) = 2 [ ψ e 2 ( f 2 Δ ) ψ e 1 ( f ) ] .

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