Abstract

We experimentally demonstrate a novel use of a spatial light modulator (SLM) for shaping ultrashort pulses in time-gated amplification systems. We show that spectral aberrations because of the device’s pixelated nature can be avoided by introducing a group delay offset to the pulse via the SLM, followed by a time-gated amplification. Because of phase wrapping, a large delay offset yields a nearly-periodic grating-like phase function (or a phase grating). We show that, in this regime, the phase grating periocidity defines the group delay spectrum applied to the pulse, while the grating’s amplitude defines the fraction of light that is delayed. We therefore demonstrate that a one-dimensional (1D) SLM pixel array is sufficient to control both the spectral amplitude and the phase of the amplified pulses.

© 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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References

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  3. A. Harth, C. Guo, Y. Cheng, A. Losquin, M. Miranda, S. Mikaelsson, C. Heyl, O. Prochnow, J. Ahrens, U. Morgner, A. L. Huillier, and C. Arnold, “Compact 200 kHz HHG source driven by a few-cycle OPCPA,” J. Opt. 84(7), 73103 (2016).
  4. N. Bigler, J. Pupeikis, S. Hrisafov, L. Gallmann, C. R. Phillips, and U. Keller, “High-power OPCPA generating 1.7 cycle pulses at 2.5 µm,” Opt. Express 26(20), 26750–26757 (2018).
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    [Crossref]
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    [Crossref] [PubMed]
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    [Crossref]
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    [Crossref]

2018 (3)

2017 (3)

R. Budriūnas, T. Stanislauskas, J. Adamonis, A. Aleknavičius, G. Veitas, D. Gadonas, S. Balickas, A. Michailovas, and A. Varanavičius, “53 W average power CEP-stabilized OPCPA system delivering 5.5 TW few cycle pulses at 1 kHz repetition rate,” Opt. Express 25(5), 5797–5806 (2017).
[Crossref] [PubMed]

M. Wang, L. Zong, L. Mao, A. Marquez, Y. Ye, H. Zhao, and F. Vaquero Caballero, “LCoS SLM Study and Its Application in Wavelength Selective Switch,” Photonics 4(4), 22 (2017).
[Crossref]

P. Krogen, H. Suchowski, H. Liang, N. Flemens, K. Hong, F. X. Kärtner, and J. Moses, “Generation and multi-octave shaping of mid-infrared intense single-cycle pulses,” Nat. Photonics 11(4),222 (2017).
[Crossref]

2016 (2)

A. Harth, C. Guo, Y. Cheng, A. Losquin, M. Miranda, S. Mikaelsson, C. Heyl, O. Prochnow, J. Ahrens, U. Morgner, A. L. Huillier, and C. Arnold, “Compact 200 kHz HHG source driven by a few-cycle OPCPA,” J. Opt. 84(7), 73103 (2016).

C. R. Phillips, B. W. Mayer, L. Gallmann, and U. Keller, “Frequency-domain nonlinear optics in two-dimensionally patterned quasi-phase-matching media,” Opt. Express 24(14), 15940–15953 (2016).
[Crossref] [PubMed]

2014 (1)

B. E. Schmidt, N. Thiré, M. Boivin, A. Laramée, F. Poitras, G. Lebrun, T. Ozaki, H. Ibrahim, and F. Légaré, “Frequency domain optical parametric amplification,” Nat. Commun. 5(1), 3643 (2014).
[Crossref] [PubMed]

2012 (2)

2011 (1)

A. M. Weiner, “Ultrafast optical pulse shaping: A tutorial review,” Opt. Commun. 284(15), 3669–3692 (2011).
[Crossref]

2007 (1)

2006 (1)

2005 (1)

2002 (1)

2000 (1)

1997 (1)

P. Tournois, “Acousto-optic programmable dispersive filter for adaptive compensation of group delay time dispersion in laser systems,” Opt. Commun. 140(4–6), 245–249 (1997).
[Crossref]

1995 (1)

1993 (1)

D. J. Kane and R. Trebino, “Characterization of arbitrary femtosecond pulses using frequency-resolved optical gating,” IEEE J. Quantum Electron. 29(2), 571–579 (1993).
[Crossref]

1992 (1)

A. Dubietis, G. Jonušauskas, and A. Piskarskas, “Powerful femtosecond pulse generation by chirped and stretched pulse parametric amplification in BBO crystal,” Opt. Commun. 88(4–6), 437–440 (1992).
[Crossref]

Adamonis, J.

Ahrens, J.

A. Harth, C. Guo, Y. Cheng, A. Losquin, M. Miranda, S. Mikaelsson, C. Heyl, O. Prochnow, J. Ahrens, U. Morgner, A. L. Huillier, and C. Arnold, “Compact 200 kHz HHG source driven by a few-cycle OPCPA,” J. Opt. 84(7), 73103 (2016).

Aleknavicius, A.

Arnold, C.

A. Harth, C. Guo, Y. Cheng, A. Losquin, M. Miranda, S. Mikaelsson, C. Heyl, O. Prochnow, J. Ahrens, U. Morgner, A. L. Huillier, and C. Arnold, “Compact 200 kHz HHG source driven by a few-cycle OPCPA,” J. Opt. 84(7), 73103 (2016).

Balickas, S.

Bartels, R. A.

Bigler, N.

Bizouard, P.

Boivin, M.

B. E. Schmidt, N. Thiré, M. Boivin, A. Laramée, F. Poitras, G. Lebrun, T. Ozaki, H. Ibrahim, and F. Légaré, “Frequency domain optical parametric amplification,” Nat. Commun. 5(1), 3643 (2014).
[Crossref] [PubMed]

Budriunas, R.

Cheng, Y.

A. Harth, C. Guo, Y. Cheng, A. Losquin, M. Miranda, S. Mikaelsson, C. Heyl, O. Prochnow, J. Ahrens, U. Morgner, A. L. Huillier, and C. Arnold, “Compact 200 kHz HHG source driven by a few-cycle OPCPA,” J. Opt. 84(7), 73103 (2016).

Cheng, Z.

Cormier, E.

Demmler, S.

Di Pietro, V.

Dubietis, A.

A. Dubietis, G. Jonušauskas, and A. Piskarskas, “Powerful femtosecond pulse generation by chirped and stretched pulse parametric amplification in BBO crystal,” Opt. Commun. 88(4–6), 437–440 (1992).
[Crossref]

Eikema, K. S. E.

S. Witte and K. S. E. Eikema, “Ultrafast optical parametric chirped-pulse amplification,” IEEE J. Sel. Top. Quantum Electron. 18(1), 296–307 (2012).
[Crossref]

Ferchaud, C.

Feurer, T.

Flemens, N.

P. Krogen, H. Suchowski, H. Liang, N. Flemens, K. Hong, F. X. Kärtner, and J. Moses, “Generation and multi-octave shaping of mid-infrared intense single-cycle pulses,” Nat. Photonics 11(4),222 (2017).
[Crossref]

Forget, N.

Gadonas, D.

Gallmann, L.

Gitzinger, G.

Guo, C.

A. Harth, C. Guo, Y. Cheng, A. Losquin, M. Miranda, S. Mikaelsson, C. Heyl, O. Prochnow, J. Ahrens, U. Morgner, A. L. Huillier, and C. Arnold, “Compact 200 kHz HHG source driven by a few-cycle OPCPA,” J. Opt. 84(7), 73103 (2016).

Hädrich, S.

Harth, A.

A. Harth, C. Guo, Y. Cheng, A. Losquin, M. Miranda, S. Mikaelsson, C. Heyl, O. Prochnow, J. Ahrens, U. Morgner, A. L. Huillier, and C. Arnold, “Compact 200 kHz HHG source driven by a few-cycle OPCPA,” J. Opt. 84(7), 73103 (2016).

Heyl, C.

A. Harth, C. Guo, Y. Cheng, A. Losquin, M. Miranda, S. Mikaelsson, C. Heyl, O. Prochnow, J. Ahrens, U. Morgner, A. L. Huillier, and C. Arnold, “Compact 200 kHz HHG source driven by a few-cycle OPCPA,” J. Opt. 84(7), 73103 (2016).

Hong, K.

P. Krogen, H. Suchowski, H. Liang, N. Flemens, K. Hong, F. X. Kärtner, and J. Moses, “Generation and multi-octave shaping of mid-infrared intense single-cycle pulses,” Nat. Photonics 11(4),222 (2017).
[Crossref]

Hornung, T.

Hrisafov, S.

Huillier, A. L.

A. Harth, C. Guo, Y. Cheng, A. Losquin, M. Miranda, S. Mikaelsson, C. Heyl, O. Prochnow, J. Ahrens, U. Morgner, A. L. Huillier, and C. Arnold, “Compact 200 kHz HHG source driven by a few-cycle OPCPA,” J. Opt. 84(7), 73103 (2016).

Ibrahim, H.

B. E. Schmidt, N. Thiré, M. Boivin, A. Laramée, F. Poitras, G. Lebrun, T. Ozaki, H. Ibrahim, and F. Légaré, “Frequency domain optical parametric amplification,” Nat. Commun. 5(1), 3643 (2014).
[Crossref] [PubMed]

Jarosch, S.

Jonušauskas, G.

A. Dubietis, G. Jonušauskas, and A. Piskarskas, “Powerful femtosecond pulse generation by chirped and stretched pulse parametric amplification in BBO crystal,” Opt. Commun. 88(4–6), 437–440 (1992).
[Crossref]

Jousselin, H.

Kane, D. J.

D. J. Kane and R. Trebino, “Characterization of arbitrary femtosecond pulses using frequency-resolved optical gating,” IEEE J. Quantum Electron. 29(2), 571–579 (1993).
[Crossref]

Kannari, F.

Kärtner, F. X.

P. Krogen, H. Suchowski, H. Liang, N. Flemens, K. Hong, F. X. Kärtner, and J. Moses, “Generation and multi-octave shaping of mid-infrared intense single-cycle pulses,” Nat. Photonics 11(4),222 (2017).
[Crossref]

Keller, U.

Kiss, B.

Krogen, P.

P. Krogen, H. Suchowski, H. Liang, N. Flemens, K. Hong, F. X. Kärtner, and J. Moses, “Generation and multi-octave shaping of mid-infrared intense single-cycle pulses,” Nat. Photonics 11(4),222 (2017).
[Crossref]

Laramée, A.

B. E. Schmidt, N. Thiré, M. Boivin, A. Laramée, F. Poitras, G. Lebrun, T. Ozaki, H. Ibrahim, and F. Légaré, “Frequency domain optical parametric amplification,” Nat. Commun. 5(1), 3643 (2014).
[Crossref] [PubMed]

Laude, V.

Lebrun, G.

B. E. Schmidt, N. Thiré, M. Boivin, A. Laramée, F. Poitras, G. Lebrun, T. Ozaki, H. Ibrahim, and F. Légaré, “Frequency domain optical parametric amplification,” Nat. Commun. 5(1), 3643 (2014).
[Crossref] [PubMed]

Légaré, F.

B. E. Schmidt, N. Thiré, M. Boivin, A. Laramée, F. Poitras, G. Lebrun, T. Ozaki, H. Ibrahim, and F. Légaré, “Frequency domain optical parametric amplification,” Nat. Commun. 5(1), 3643 (2014).
[Crossref] [PubMed]

Liang, H.

P. Krogen, H. Suchowski, H. Liang, N. Flemens, K. Hong, F. X. Kärtner, and J. Moses, “Generation and multi-octave shaping of mid-infrared intense single-cycle pulses,” Nat. Photonics 11(4),222 (2017).
[Crossref]

Limpert, J.

Losquin, A.

A. Harth, C. Guo, Y. Cheng, A. Losquin, M. Miranda, S. Mikaelsson, C. Heyl, O. Prochnow, J. Ahrens, U. Morgner, A. L. Huillier, and C. Arnold, “Compact 200 kHz HHG source driven by a few-cycle OPCPA,” J. Opt. 84(7), 73103 (2016).

Maksimenka, R.

Mao, L.

M. Wang, L. Zong, L. Mao, A. Marquez, Y. Ye, H. Zhao, and F. Vaquero Caballero, “LCoS SLM Study and Its Application in Wavelength Selective Switch,” Photonics 4(4), 22 (2017).
[Crossref]

Marquez, A.

M. Wang, L. Zong, L. Mao, A. Marquez, Y. Ye, H. Zhao, and F. Vaquero Caballero, “LCoS SLM Study and Its Application in Wavelength Selective Switch,” Photonics 4(4), 22 (2017).
[Crossref]

Mayer, B. W.

Michailovas, A.

Mikaelsson, S.

A. Harth, C. Guo, Y. Cheng, A. Losquin, M. Miranda, S. Mikaelsson, C. Heyl, O. Prochnow, J. Ahrens, U. Morgner, A. L. Huillier, and C. Arnold, “Compact 200 kHz HHG source driven by a few-cycle OPCPA,” J. Opt. 84(7), 73103 (2016).

Miranda, M.

A. Harth, C. Guo, Y. Cheng, A. Losquin, M. Miranda, S. Mikaelsson, C. Heyl, O. Prochnow, J. Ahrens, U. Morgner, A. L. Huillier, and C. Arnold, “Compact 200 kHz HHG source driven by a few-cycle OPCPA,” J. Opt. 84(7), 73103 (2016).

Morgner, U.

A. Harth, C. Guo, Y. Cheng, A. Losquin, M. Miranda, S. Mikaelsson, C. Heyl, O. Prochnow, J. Ahrens, U. Morgner, A. L. Huillier, and C. Arnold, “Compact 200 kHz HHG source driven by a few-cycle OPCPA,” J. Opt. 84(7), 73103 (2016).

Moses, J.

P. Krogen, H. Suchowski, H. Liang, N. Flemens, K. Hong, F. X. Kärtner, and J. Moses, “Generation and multi-octave shaping of mid-infrared intense single-cycle pulses,” Nat. Photonics 11(4),222 (2017).
[Crossref]

Nelson, K.

Nelson, K. A.

Osvay, K.

Ozaki, T.

B. E. Schmidt, N. Thiré, M. Boivin, A. Laramée, F. Poitras, G. Lebrun, T. Ozaki, H. Ibrahim, and F. Légaré, “Frequency domain optical parametric amplification,” Nat. Commun. 5(1), 3643 (2014).
[Crossref] [PubMed]

Phillips, C. R.

Pinoteau, T.

Piskarskas, A.

A. Dubietis, G. Jonušauskas, and A. Piskarskas, “Powerful femtosecond pulse generation by chirped and stretched pulse parametric amplification in BBO crystal,” Opt. Commun. 88(4–6), 437–440 (1992).
[Crossref]

Poitras, F.

B. E. Schmidt, N. Thiré, M. Boivin, A. Laramée, F. Poitras, G. Lebrun, T. Ozaki, H. Ibrahim, and F. Légaré, “Frequency domain optical parametric amplification,” Nat. Commun. 5(1), 3643 (2014).
[Crossref] [PubMed]

Prochnow, O.

A. Harth, C. Guo, Y. Cheng, A. Losquin, M. Miranda, S. Mikaelsson, C. Heyl, O. Prochnow, J. Ahrens, U. Morgner, A. L. Huillier, and C. Arnold, “Compact 200 kHz HHG source driven by a few-cycle OPCPA,” J. Opt. 84(7), 73103 (2016).

Pupeikis, J.

Rothhardt, J.

Schlup, P.

Schmidt, B. E.

B. E. Schmidt, N. Thiré, M. Boivin, A. Laramée, F. Poitras, G. Lebrun, T. Ozaki, H. Ibrahim, and F. Légaré, “Frequency domain optical parametric amplification,” Nat. Commun. 5(1), 3643 (2014).
[Crossref] [PubMed]

Spielmann, C.

Stanislauskas, T.

Stone, K.

Suchowski, H.

P. Krogen, H. Suchowski, H. Liang, N. Flemens, K. Hong, F. X. Kärtner, and J. Moses, “Generation and multi-octave shaping of mid-infrared intense single-cycle pulses,” Nat. Photonics 11(4),222 (2017).
[Crossref]

Tanabe, H.

Tanabe, T.

Teramura, Y.

Thiré, N.

Tournois, P.

F. Verluise, V. Laude, Z. Cheng, C. Spielmann, and P. Tournois, “Amplitude and phase control of ultrashort pulses by use of an acousto-optic programmable dispersive filter: pulse compression and shaping,” Opt. Lett. 25(8), 575–577 (2000).
[Crossref] [PubMed]

P. Tournois, “Acousto-optic programmable dispersive filter for adaptive compensation of group delay time dispersion in laser systems,” Opt. Commun. 140(4–6), 245–249 (1997).
[Crossref]

Trebino, R.

D. J. Kane and R. Trebino, “Characterization of arbitrary femtosecond pulses using frequency-resolved optical gating,” IEEE J. Quantum Electron. 29(2), 571–579 (1993).
[Crossref]

Tünnermann, A.

Vaquero Caballero, F.

M. Wang, L. Zong, L. Mao, A. Marquez, Y. Ye, H. Zhao, and F. Vaquero Caballero, “LCoS SLM Study and Its Application in Wavelength Selective Switch,” Photonics 4(4), 22 (2017).
[Crossref]

Varanavicius, A.

Vaughan, J.

Vaughan, J. C.

Veitas, G.

Verluise, F.

Wang, M.

M. Wang, L. Zong, L. Mao, A. Marquez, Y. Ye, H. Zhao, and F. Vaquero Caballero, “LCoS SLM Study and Its Application in Wavelength Selective Switch,” Photonics 4(4), 22 (2017).
[Crossref]

Wefers, M. M.

Weiner, A. M.

A. M. Weiner, “Ultrafast optical pulse shaping: A tutorial review,” Opt. Commun. 284(15), 3669–3692 (2011).
[Crossref]

Wilson, J. W.

Witte, S.

S. Witte and K. S. E. Eikema, “Ultrafast optical parametric chirped-pulse amplification,” IEEE J. Sel. Top. Quantum Electron. 18(1), 296–307 (2012).
[Crossref]

Ye, Y.

M. Wang, L. Zong, L. Mao, A. Marquez, Y. Ye, H. Zhao, and F. Vaquero Caballero, “LCoS SLM Study and Its Application in Wavelength Selective Switch,” Photonics 4(4), 22 (2017).
[Crossref]

Zhao, H.

M. Wang, L. Zong, L. Mao, A. Marquez, Y. Ye, H. Zhao, and F. Vaquero Caballero, “LCoS SLM Study and Its Application in Wavelength Selective Switch,” Photonics 4(4), 22 (2017).
[Crossref]

Zong, L.

M. Wang, L. Zong, L. Mao, A. Marquez, Y. Ye, H. Zhao, and F. Vaquero Caballero, “LCoS SLM Study and Its Application in Wavelength Selective Switch,” Photonics 4(4), 22 (2017).
[Crossref]

IEEE J. Quantum Electron. (1)

D. J. Kane and R. Trebino, “Characterization of arbitrary femtosecond pulses using frequency-resolved optical gating,” IEEE J. Quantum Electron. 29(2), 571–579 (1993).
[Crossref]

IEEE J. Sel. Top. Quantum Electron. (1)

S. Witte and K. S. E. Eikema, “Ultrafast optical parametric chirped-pulse amplification,” IEEE J. Sel. Top. Quantum Electron. 18(1), 296–307 (2012).
[Crossref]

J. Opt. (1)

A. Harth, C. Guo, Y. Cheng, A. Losquin, M. Miranda, S. Mikaelsson, C. Heyl, O. Prochnow, J. Ahrens, U. Morgner, A. L. Huillier, and C. Arnold, “Compact 200 kHz HHG source driven by a few-cycle OPCPA,” J. Opt. 84(7), 73103 (2016).

J. Opt. Soc. Am. B (2)

Nat. Commun. (1)

B. E. Schmidt, N. Thiré, M. Boivin, A. Laramée, F. Poitras, G. Lebrun, T. Ozaki, H. Ibrahim, and F. Légaré, “Frequency domain optical parametric amplification,” Nat. Commun. 5(1), 3643 (2014).
[Crossref] [PubMed]

Nat. Photonics (1)

P. Krogen, H. Suchowski, H. Liang, N. Flemens, K. Hong, F. X. Kärtner, and J. Moses, “Generation and multi-octave shaping of mid-infrared intense single-cycle pulses,” Nat. Photonics 11(4),222 (2017).
[Crossref]

Opt. Commun. (3)

P. Tournois, “Acousto-optic programmable dispersive filter for adaptive compensation of group delay time dispersion in laser systems,” Opt. Commun. 140(4–6), 245–249 (1997).
[Crossref]

A. M. Weiner, “Ultrafast optical pulse shaping: A tutorial review,” Opt. Commun. 284(15), 3669–3692 (2011).
[Crossref]

A. Dubietis, G. Jonušauskas, and A. Piskarskas, “Powerful femtosecond pulse generation by chirped and stretched pulse parametric amplification in BBO crystal,” Opt. Commun. 88(4–6), 437–440 (1992).
[Crossref]

Opt. Express (8)

R. Budriūnas, T. Stanislauskas, J. Adamonis, A. Aleknavičius, G. Veitas, D. Gadonas, S. Balickas, A. Michailovas, and A. Varanavičius, “53 W average power CEP-stabilized OPCPA system delivering 5.5 TW few cycle pulses at 1 kHz repetition rate,” Opt. Express 25(5), 5797–5806 (2017).
[Crossref] [PubMed]

J. Rothhardt, S. Demmler, S. Hädrich, J. Limpert, and A. Tünnermann, “Octave-spanning OPCPA system delivering CEP-stable few-cycle pulses and 22 W of average power at 1 MHz repetition rate,” Opt. Express 20(10), 10870–10878 (2012).
[Crossref] [PubMed]

J. W. Wilson, P. Schlup, and R. A. Bartels, “Ultrafast phase and amplitude pulse shaping with a single, one-dimensional, high-resolution phase mask,” Opt. Express 15(14), 8979–8987 (2007).
[Crossref] [PubMed]

N. Bigler, J. Pupeikis, S. Hrisafov, L. Gallmann, C. R. Phillips, and U. Keller, “High-power OPCPA generating 1.7 cycle pulses at 2.5 µm,” Opt. Express 26(20), 26750–26757 (2018).
[Crossref] [PubMed]

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Opt. Lett. (2)

Photonics (1)

M. Wang, L. Zong, L. Mao, A. Marquez, Y. Ye, H. Zhao, and F. Vaquero Caballero, “LCoS SLM Study and Its Application in Wavelength Selective Switch,” Photonics 4(4), 22 (2017).
[Crossref]

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Figures (7)

Fig. 1
Fig. 1 a) Phase-wrapped group delay (GD) of 2000 fs. For illustrative purposes, the pixel crosstalk was simulated using a moving average filter with a width of 8 pixels. The snippet shows a zoomed in phase where deviation from the ideal wrapped phase (dashed black line) is clearly visible. b) Conceptual illustration of how we can increase the engineered waveform quality by adding a GD on the pulse with the pulse shaper and amplifying the delayed pulse using a time-gated amplifier.
Fig. 2
Fig. 2 Our experimental setup. A reflective 4-f pulse shaper is used to control the phase of the seed for a non-collinear optical parametric amplifier (NOPA). The geometry of the pulse shaper setup (dashed box) is as follows. The incident beam is first reflected from the diffraction grating, then a D-shaped mirror (D1) directs the angularly chirped beam towards the cylindrical mirror. The cylindrical mirror is tilted upwards so that the reflected light reaches the spatial light modulator (SLM). The SLM is tilted downwards so that the returning beam is reflected by a second D-shaped mirror (D2). For time-gated amplification, a narrow-band pump pulse (wavelength 1030 nm) is frequency doubled in a second harmonic generation (SHG) stage and is used to amplify the seed in the NOPA.
Fig. 3
Fig. 3 (a) Ideal phase of −50000 fs3 third-order dispersion (TOD) at a center wavelength of 745 nm. (b) Wrapped and smoothed phase from (a). (c) Non-collinear optical parametric amplifier (NOPA) amplified spectrum versus pump delay for a pulse with −50000 fs3 TOD applied using the pulse shaper. For better contrast, only spectral amplitudes between 0.005 and 1 are plotted. (d) Simulated time-frequency analysis of a pulse on which the phase from (b) is applied.
Fig. 4
Fig. 4 (a) Non-collinear optical parametric amplifier (NOPA) amplified spectrum versus pump delay for a pulse with −2000 fs group-delay (GD) and −50000 fs3 third-order dispersion (TOD) applied using the pulse shaper. For better contrast, only spectral amplitudes between 0.005 and 1 are plotted. (b) Simulated time-frequency analysis of a pulse on which a wrapped and smoothed phase of −2000 fs GD and −50000 fs3 TOD was applied. (c) The measured NOPA output spectrum for the 0 fs GD case [as in Fig. 3 (c)], and for the −2000 fs GD case [shown in (a)].
Fig. 5
Fig. 5 (a) Retrieved spectrum and phase of the compressed pulse. The measured spectrum is overlaid for comparison. (b) Measured and reconstructed traces.
Fig. 6
Fig. 6 (a) Simulation of an applied amplitude-scaled wrapped phase on a simulated Gaussian transform-limited pulse. The phase was −2000 fs group delay (GD) and 500 fs2 group delay dispersion (GDD) for a central wavelength of 745 nm. (b) The time-domain representation of the simulated waveform in (a). The peak of the −2000-fs delayed pulse is suppressed as it would be expected for a linearly chirped and spectrally shaped pulse. (c) The spectral contents of the input and shaped pulses indicating spectral intensity shaping. (d) An experimental example of amplitude shaping where a nearly rectangular spectral intensity distribution was achieved after the non-collinear optical parametric amplifier (NOPA).
Fig. 7
Fig. 7 (a) Experimentally applied amplitude control on the phase grating. The phase-grating contains the phase used to compress the pulse (as in Fig. 5.), a −2000 fs group delay (GD) over the complete bandwidth, as well as an additional 400 fs GD offset added for the spectral components with wavelength longer than 720 nm. (b) Reconstruction of the double-pulse from a second harmonic frequency resolved optical gating (SH-FROG) characterization.

Equations (3)

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φ wrapped =ξmod( φ ideal ,2π)π(ξ1), for ξ[0,1]
exp(iφ(ω))=exp(i 2πξω ω p iπ(ξ1)), for 0ω< ω p
E(ω)=A(ω) n= e iπ(n1) sinc(π(ξn))exp(i 2πω ω p n)

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