Abstract

We apply ultrafast polarization shaping to an ultrabroadband carrier envelope phase (CEP) stable white light supercontinuum to generate polarization-tailored bichromatic laser fields of low-order frequency ratio. The generation of orthogonal linearly and counter-rotating circularly polarized bichromatic fields is achieved by introducing a composite polarizer in the Fourier plane of a 4 f polarization shaper. The resulting Lissajous- and propeller-type polarization profiles are characterized experimentally by cross-correlation trajectories. The scheme provides full control over all bichromatic parameters and allows for individual spectral phase modulation of both colors. Shaper-based CEP control and the generation of tailored bichromatic fields is demonstrated. These bichromatic CEP-stable polarization-shaped ultrashort laser pulses provide a versatile class of waveforms for coherent control experiments.

© 2017 Optical Society of America

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References

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2017 (1)

D. Pengel, S. Kerbstadt, D. Johannmeyer, L. Englert, T. Bayer, and M. Wollenhaupt, “Electron vortices in femtosecond multiphoton ionization,” Phys. Rev. Lett. 118, 053003 (2017).
[Crossref] [PubMed]

2016 (5)

J. M. Ngoko Djiokap, A. V. Meremianin, N. L. Manakov, S. X. Hu, L. B. Madsen, and A. F. Starace, “Multistart spiral electron vortices in ionization by circularly polarized UV pulses,” Physical Review A 94, 013408 (2016).
[Crossref]

E. Hasović, W. Becker, and D. B. Milošević, “Electron rescattering in a bicircular laser field,” Optics Express 24, 6413–6424 (2016).
[Crossref]

S. Eckart, M. Richter, M. Kunitski, A. Hartung, J. Rist, K. Henrichs, N. Schlott, H. Kang, T. Bauer, H. Sann, L. P. H. Schmidt, M. Schöffler, T. Jahnke, and R. Dörner, “Nonsequential double ionization by counterrotating circularly polarized two-color laser fields,” Physical Review Letters 117, 133202 (2016).
[Crossref] [PubMed]

C. A. Mancuso, K. M. Dorney, D. D. Hickstein, J. L. Chaloupka, J. L. Ellis, F. J. Dollar, R. Knut, P. Grychtol, D. Zusin, C. Gentry, M. Gopalakrishnan, H. C. Kapteyn, and M. M. Murnane, “Controlling nonsequential double ionization in two-color circularly polarized femtosecond laser fields,” Physical Review Letters 117, 133201 (2016).
[Crossref] [PubMed]

K.-J. Yuan and A. D. Bandrauk, “Interference asymmetry of molecular frame photoelectron angular distributions in bichromatic uv ionization processes,” Journal of Physics B: Atomic, Molecular and Optical Physics 49, 065601 (2016).
[Crossref]

2015 (3)

O. Kfir, P. Grychtol, E. Turgut, R. Knut, D. Zusin, D. Popmintchev, T. Popmintchev, H. Nembach, J. M. Shaw, A. Fleischer, H. Kapteyn, M. Murnane, and O. Cohen, “Generation of bright phase-matched circularly-polarized extreme ultraviolet high harmonics,” Nature Phot. 9, 99–105 (2015).
[Crossref]

C. Manzoni, O. D. Mücke, G. Cirmi, S. Fang, J. Moses, S.-W. Huang, K.-H. Hong, G. Cerullo, and F. X. Kärtner, “Coherent pulse synthesis: towards sub-cycle optical waveforms,” Laser Photonics Rev. 9, 129–171 (2015).
[Crossref]

C. Schwarz, O. Hüter, and T. Brixner, “Full vector-field control of ultrashort laser pulses utilizing a single dual-layer spatial light modulator in a common-path setup,” JOSA B 32, 933–945 (2015).
[Crossref]

2013 (1)

2012 (2)

C.-C. Chen, I-C. Hsieh, S.-D. Yang, and C.-B. Huang, “Polarization line-by-line pulse shaping for the implementation of vectorial temporal Talbot effect,” Opt. Express 20, 27062–27070 (2012).
[Crossref] [PubMed]

C. Lux, M. Wollenhaupt, T. Bolze, Q. Liang, J. Köhler, C. Sarpe, and T. Baumert, “Circular dichroism in the photoelectron angular distributions of camphor and fenchone from multiphoton ionization with femtosecond laser pulses,” Angew. Chem. Int. Ed. 51, 5001–5005 (2012).
[Crossref]

2011 (3)

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

M. Abel, D. M. Neumark, S. R. Leone, and T. Pfeifer, “Classical and quantum control of electrons using the carrier-envelope phase of strong laser fields,” Laser Photonics Rev. 5, 352–367 (2011).
[Crossref]

J. Köhler, M. Wollenhaupt, T. Bayer, C. Sarpe, and T. Baumert, “Zeptosecond precision pulse shaping,” Opt. Express 19, 11638–11653 (2011).
[Crossref] [PubMed]

2010 (1)

A. Monmayrant, S. Weber, and B. Chatel, “A newcomer’s guide to ultrashort pulse shaping and characterization,” J. Phys. B 43, 103001 (2010).
[Crossref]

2009 (7)

F. Weise and A. Lindinger, “Full control over the electric field using four liquid crystal arrays,” Opt. Lett. 34, 1258–12560 (2009).
[Crossref] [PubMed]

D. Kupka, P. Schlup, and R. A. Bartels, “Simplified ultrafast pulse shaper for tailored polarization states using a birefringent prism,” Rev. Sci. Instrum. 80, 053110 (2009).
[Crossref] [PubMed]

M. Wollenhaupt, M. Krug, J. Köhler, T. Bayer, C. Sarpe-Tudoran, and T. Baumert, “Photoelectron angular distributions from strong-field coherent electronic excitation,” Appl. Phys. B 95, 245–259 (2009).
[Crossref]

D. Ray, F. He, S. De, W. Cao, H. Mashiko, P. Ranitovic, K. P. Singh, I. Znakovskaya, U. Thumm, G. G. Paulus, M. F. Kling, I. V. Litvinyuk, and C. L. Cocke, “Ion-energy dependence of asymmetric dissociation of D2 by a two-color laser field,” Phys. Rev. Lett. 103, 223201 (2009).
[Crossref]

F. Krausz and M. Ivanov, “Attosecond physics,” Rev. Mod. Phys. 81, 163–234 (2009).
[Crossref]

T. Pfeifer, M. J. Abel, P. M. Nagel, W. Boutu, M. J. Bell, Y. Liu, D. M. Neumark, and S. R. Leone, “Measurement and optimization of isolated attosecond pulse contrast,” Optics Letters 34, 1819–1821 (2009).
[Crossref] [PubMed]

M. Vrakking, “Chemical physics electronic movies,” Nature 460, 960–961 (2009).
[Crossref] [PubMed]

2008 (4)

M. F. Kling, J. Rauschenberger, A. J. Verhoef, E. Hasović, T. Uphues, D. B. Milošević, H. G. Muller, and M. J. J. Vrakking, “Imaging of carrier-envelope phase effects in above-threshold ionization with intense few-cycle laser fields,” New J. Phys. 10, 025024 (2008).
[Crossref]

M. F. Kling and M. J. J. Vrakking, “Attosecond electron dynamics,” Ann. Rev. Phys. Chem. 59, 463–499 (2008).
[Crossref]

S. Rausch, T. Binhammer, A. Harth, F. X. Kärtner, and U. Morgner, “Few-cycle femtosecond field synthesizer,” Opt. Express 16, 17410–17419 (2008).
[Crossref] [PubMed]

A. Galler and T. Feurer, “Pulse shaper assisted short laser pulse characterization,” Appl. Phys. B 90, 427–430 (2008).
[Crossref]

2007 (6)

M. Ninck, A. Galler, T. Feurer, and T. Brixner, “Programmable common-path vector field synthesizer for femtosecond pulses,” Opt. Lett. 32, 3379–3381 (2007).
[Crossref] [PubMed]

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, “Synthesis and Measurement of Ultrafast Waveforms from Five Discrete Optical Harmonics,” Science 318, 1287–1291 (2007).

L. Costa, M. Betz, M. Spasenović, A. D. Bristow, and H. M. Van Driel, “All-optical injection of ballistic electrical currents in unbiased silicon,” Nature Phys. 3, 632–635 (2007).
[Crossref]

J. Güdde, M. Rohleder, T. Meier, S. W. Koch, and U. Höfer, “Controlled electric currents at a metal surface time-resolved investigation of coherently,” Science 318, 1287–1291 (2007).
[Crossref]

C. A. Haworth, L. E. Chipperfield, J. S. Robinson, P. L. Knight, J. P. Marangos, and J. W. G. Tisch, “Half-cycle cutoffs in harmonic spectra and robust carrier-envelope phase retrieval,” Nat Phys 3, 52–57 (2007).
[Crossref]

P. B. Corkum and F. Krausz, “Attosecond science,” Nature Phys. 3, 381–387 (2007).
[Crossref]

2006 (8)

M. Wollenhaupt, A. Präkelt, C. Sarpe-Tudoran, D. Liese, T. Bayer, and T. Baumert, “Femtosecond strong-field quantum control with sinusoidally phase-modulated pulses,” Phys. Rev. A 73, 063409 (2006).
[Crossref]

A. Monmayrant, B. Chatel, and B. Girard, “Femtosecond spectral electric field reconstruction using coherent transients,” Optics Letters 31, 410–412 (2006).
[Crossref] [PubMed]

I. J. Sola, E. Mével, L. Elouga, E. Constant, V. Strelkov, L. Poletto, P. Villoresi, E. Benedetti, J. P. Caumes, S. Stagira, C. Vozzi, G. Sansone, and M. Nisoli, “Controlling attosecond electron dynamics by phase-stabilized polarization gating,” Nature Phys. 2, 319–322 (2006).
[Crossref]

M. F. Kling, C. Siedschlag, A. J. Verhoef, J. I. Khan, M. Schultze, T. Uphues, Y. Ni, M. Uiberacker, M. Drescher, F. Krausz, and M. J. J. Vrakking, “Control of electron localization in molecular dissociation,” Science 312, 246–248 (2006).
[Crossref] [PubMed]

B. Xu, Y. Coello, V. V. Lozovoy, D. A. Harris, and M. Dantus, “Pulse shaping of octave spanning femtosecond laser pulses,” Opt. Express 14, 10939–10944 (2006).
[Crossref] [PubMed]

H. Ohmura, N. Saito, and M. Tachiya, “Selective ionization of oriented nonpolar molecules with asymmetric structure by phase-controlled two-color laser fields,” Phys. Rev. Lett. 96, 173001 (2006).
[Crossref] [PubMed]

L. Polachek, D. Oron, and Y. Silberberg, “Full control of the spectral polarization of ultrashort pulses,” Opt. Lett. 31, 631–633 (2006).
[Crossref] [PubMed]

B. von Vacano, T. Buckup, and M. Motzkus, “In situ broadband pulse compression for multiphoton microscopy using a shaper-assisted collinear spider,” Opt. Lett. 31, 1154–1156 (2006).
[Crossref] [PubMed]

2005 (1)

W. Wohlleben, T. Buckup, J. L. Herek, and M. Motzkus, “Coherent control for spectroscopy and manipulation of biological dynamics,” Chem. Phys. Chem. 6, 850–857 (2005).
[Crossref] [PubMed]

2004 (2)

R. Kienberger, E. Goulielmakis, M. Uiberacker, A. Baltuska, V. Yakolev, F. Bammer, A. Scrinzi, T. Westerwalbesloh, U. Kleineberg, U. Heinzmann, M. Drescher, and F. Krausz, “Atomic transient recorder,” Nature 427, 817–821 (2004).
[Crossref] [PubMed]

V. V. Lozovoy, I. Pastirk, and M. Dantus, “Multiphoton intrapulse interference. iv. ultrashort laser pulse spectral phase characterization and compensation,” Opt. Lett. 29, 1–3 (2004).
[Crossref]

2003 (3)

A. Präkelt, M. Wollenhaupt, A. Assion, C. Horn, C. Sarpe-Tudoran, M. Winter, and T. Baumert, “Compact, robust and flexible setup for femtosecond pulse shaping,” Rev. Sci. Instrum. 74, 4950–4953 (2003).
[Crossref]

A. Bartelt, A. Lindinger, C. Lupulescu, S. Vajda, and L. Wöste, “One parameter fs-pulse form control on NaK and Na2K,” Phys. Chem. Chem. Phys. 5, 3610–3615 (2003).
[Crossref]

N. Dudovich, D. Oron, and Y. Silberberg, “Single-pulse coherent anti-stokes raman spectroscopy in the fingerprint spectral region,” J. Chem. Phys. 118, 9208–9215 (2003).
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2001 (1)

2000 (2)

A. M. Weiner, “Femtosecond pulse shaping using spatial light modulators,” Rev. Sci. Instrum. 71, 1929–1960 (2000).
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D. B. Milošević and W. Becker, “Attosecond pulse trains with unusual nonlinear polarization,” Phys. Rev. A 62, 011403R (2000).
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1997 (2)

T. Baumert, T. Brixner, V. Seyfried, M. Strehle, and G. Gerber, “Femtosecond pulse shaping by an evolutionary algorithm with feedback,” Appl. Phys. B 65, 779–782 (1997).
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D. Yelin, D. Meshulach, and Y. Silberberg, “Adaptive femtosecond pulse compression,” Opt. Lett. 22, 1793–1795 (1997).
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1995 (1)

E. Dupont, P. B. Corkum, H. C. Liu, M. Buchanan, and Z. R. Wasilewski, “Phase-controlled currents in semiconductors,” Phys. Rev. Lett. 74, 3596–3599 (1995).
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1990 (1)

A. M. Weiner, D. E. Leaird, G. P. Wiederrecht, and K. A. Nelson, “Femtosecond pulse sequences used for optical manipulation of molecular motion,” Science 247, 1317–1319 (1990).
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Abel, M.

M. Abel, D. M. Neumark, S. R. Leone, and T. Pfeifer, “Classical and quantum control of electrons using the carrier-envelope phase of strong laser fields,” Laser Photonics Rev. 5, 352–367 (2011).
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Abel, M. J.

T. Pfeifer, M. J. Abel, P. M. Nagel, W. Boutu, M. J. Bell, Y. Liu, D. M. Neumark, and S. R. Leone, “Measurement and optimization of isolated attosecond pulse contrast,” Optics Letters 34, 1819–1821 (2009).
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Assion, A.

A. Präkelt, M. Wollenhaupt, A. Assion, C. Horn, C. Sarpe-Tudoran, M. Winter, and T. Baumert, “Compact, robust and flexible setup for femtosecond pulse shaping,” Rev. Sci. Instrum. 74, 4950–4953 (2003).
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Baltuska, A.

R. Kienberger, E. Goulielmakis, M. Uiberacker, A. Baltuska, V. Yakolev, F. Bammer, A. Scrinzi, T. Westerwalbesloh, U. Kleineberg, U. Heinzmann, M. Drescher, and F. Krausz, “Atomic transient recorder,” Nature 427, 817–821 (2004).
[Crossref] [PubMed]

Bammer, F.

R. Kienberger, E. Goulielmakis, M. Uiberacker, A. Baltuska, V. Yakolev, F. Bammer, A. Scrinzi, T. Westerwalbesloh, U. Kleineberg, U. Heinzmann, M. Drescher, and F. Krausz, “Atomic transient recorder,” Nature 427, 817–821 (2004).
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Bandrauk, A. D.

K.-J. Yuan and A. D. Bandrauk, “Interference asymmetry of molecular frame photoelectron angular distributions in bichromatic uv ionization processes,” Journal of Physics B: Atomic, Molecular and Optical Physics 49, 065601 (2016).
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Bartels, R. A.

D. Kupka, P. Schlup, and R. A. Bartels, “Simplified ultrafast pulse shaper for tailored polarization states using a birefringent prism,” Rev. Sci. Instrum. 80, 053110 (2009).
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Bartelt, A.

A. Bartelt, A. Lindinger, C. Lupulescu, S. Vajda, and L. Wöste, “One parameter fs-pulse form control on NaK and Na2K,” Phys. Chem. Chem. Phys. 5, 3610–3615 (2003).
[Crossref]

Bauer, T.

S. Eckart, M. Richter, M. Kunitski, A. Hartung, J. Rist, K. Henrichs, N. Schlott, H. Kang, T. Bauer, H. Sann, L. P. H. Schmidt, M. Schöffler, T. Jahnke, and R. Dörner, “Nonsequential double ionization by counterrotating circularly polarized two-color laser fields,” Physical Review Letters 117, 133202 (2016).
[Crossref] [PubMed]

Baumert, T.

C. Lux, M. Wollenhaupt, T. Bolze, Q. Liang, J. Köhler, C. Sarpe, and T. Baumert, “Circular dichroism in the photoelectron angular distributions of camphor and fenchone from multiphoton ionization with femtosecond laser pulses,” Angew. Chem. Int. Ed. 51, 5001–5005 (2012).
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J. Köhler, M. Wollenhaupt, T. Bayer, C. Sarpe, and T. Baumert, “Zeptosecond precision pulse shaping,” Opt. Express 19, 11638–11653 (2011).
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M. Wollenhaupt, M. Krug, J. Köhler, T. Bayer, C. Sarpe-Tudoran, and T. Baumert, “Photoelectron angular distributions from strong-field coherent electronic excitation,” Appl. Phys. B 95, 245–259 (2009).
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M. Wollenhaupt, A. Präkelt, C. Sarpe-Tudoran, D. Liese, T. Bayer, and T. Baumert, “Femtosecond strong-field quantum control with sinusoidally phase-modulated pulses,” Phys. Rev. A 73, 063409 (2006).
[Crossref]

A. Präkelt, M. Wollenhaupt, A. Assion, C. Horn, C. Sarpe-Tudoran, M. Winter, and T. Baumert, “Compact, robust and flexible setup for femtosecond pulse shaping,” Rev. Sci. Instrum. 74, 4950–4953 (2003).
[Crossref]

T. Baumert, T. Brixner, V. Seyfried, M. Strehle, and G. Gerber, “Femtosecond pulse shaping by an evolutionary algorithm with feedback,” Appl. Phys. B 65, 779–782 (1997).
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M. Wollenhaupt, T. Bayer, and T. Baumert, Control of Ultrafast Electron Dynamics with Shaped Femtosecond Laser Pulses: From Atoms to Solids (Springer, 2015), book section 4, pp. 63–122.

Bayer, T.

D. Pengel, S. Kerbstadt, D. Johannmeyer, L. Englert, T. Bayer, and M. Wollenhaupt, “Electron vortices in femtosecond multiphoton ionization,” Phys. Rev. Lett. 118, 053003 (2017).
[Crossref] [PubMed]

J. Köhler, M. Wollenhaupt, T. Bayer, C. Sarpe, and T. Baumert, “Zeptosecond precision pulse shaping,” Opt. Express 19, 11638–11653 (2011).
[Crossref] [PubMed]

M. Wollenhaupt, M. Krug, J. Köhler, T. Bayer, C. Sarpe-Tudoran, and T. Baumert, “Photoelectron angular distributions from strong-field coherent electronic excitation,” Appl. Phys. B 95, 245–259 (2009).
[Crossref]

M. Wollenhaupt, A. Präkelt, C. Sarpe-Tudoran, D. Liese, T. Bayer, and T. Baumert, “Femtosecond strong-field quantum control with sinusoidally phase-modulated pulses,” Phys. Rev. A 73, 063409 (2006).
[Crossref]

S. Kerbstadt, L. Englert, T. Bayer, and M. Wollenhaupt, “Ultrashort polarization-tailored bichromatic fields,” J. Mod. Opt. (published online) (2016), .
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M. Wollenhaupt, T. Bayer, and T. Baumert, Control of Ultrafast Electron Dynamics with Shaped Femtosecond Laser Pulses: From Atoms to Solids (Springer, 2015), book section 4, pp. 63–122.

Becker, W.

E. Hasović, W. Becker, and D. B. Milošević, “Electron rescattering in a bicircular laser field,” Optics Express 24, 6413–6424 (2016).
[Crossref]

D. B. Milošević and W. Becker, “Attosecond pulse trains with unusual nonlinear polarization,” Phys. Rev. A 62, 011403R (2000).
[Crossref]

Bell, M. J.

T. Pfeifer, M. J. Abel, P. M. Nagel, W. Boutu, M. J. Bell, Y. Liu, D. M. Neumark, and S. R. Leone, “Measurement and optimization of isolated attosecond pulse contrast,” Optics Letters 34, 1819–1821 (2009).
[Crossref] [PubMed]

Benedetti, E.

I. J. Sola, E. Mével, L. Elouga, E. Constant, V. Strelkov, L. Poletto, P. Villoresi, E. Benedetti, J. P. Caumes, S. Stagira, C. Vozzi, G. Sansone, and M. Nisoli, “Controlling attosecond electron dynamics by phase-stabilized polarization gating,” Nature Phys. 2, 319–322 (2006).
[Crossref]

Betz, M.

L. Costa, M. Betz, M. Spasenović, A. D. Bristow, and H. M. Van Driel, “All-optical injection of ballistic electrical currents in unbiased silicon,” Nature Phys. 3, 632–635 (2007).
[Crossref]

Binhammer, T.

Bolze, T.

C. Lux, M. Wollenhaupt, T. Bolze, Q. Liang, J. Köhler, C. Sarpe, and T. Baumert, “Circular dichroism in the photoelectron angular distributions of camphor and fenchone from multiphoton ionization with femtosecond laser pulses,” Angew. Chem. Int. Ed. 51, 5001–5005 (2012).
[Crossref]

Boutu, W.

T. Pfeifer, M. J. Abel, P. M. Nagel, W. Boutu, M. J. Bell, Y. Liu, D. M. Neumark, and S. R. Leone, “Measurement and optimization of isolated attosecond pulse contrast,” Optics Letters 34, 1819–1821 (2009).
[Crossref] [PubMed]

Bristow, A. D.

L. Costa, M. Betz, M. Spasenović, A. D. Bristow, and H. M. Van Driel, “All-optical injection of ballistic electrical currents in unbiased silicon,” Nature Phys. 3, 632–635 (2007).
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Brixner, T.

C. Schwarz, O. Hüter, and T. Brixner, “Full vector-field control of ultrashort laser pulses utilizing a single dual-layer spatial light modulator in a common-path setup,” JOSA B 32, 933–945 (2015).
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M. Ninck, A. Galler, T. Feurer, and T. Brixner, “Programmable common-path vector field synthesizer for femtosecond pulses,” Opt. Lett. 32, 3379–3381 (2007).
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T. Brixner and G. Gerber, “Femtosecond polarization pulse shaping,” Opt. Lett. 26, 557–559 (2001).
[Crossref]

T. Baumert, T. Brixner, V. Seyfried, M. Strehle, and G. Gerber, “Femtosecond pulse shaping by an evolutionary algorithm with feedback,” Appl. Phys. B 65, 779–782 (1997).
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Brumer, P.

M. Shapiro and P. Brumer, Quantum Control of Molecular Processes, 2nd ed. (Wiley, 2012).

Buchanan, M.

E. Dupont, P. B. Corkum, H. C. Liu, M. Buchanan, and Z. R. Wasilewski, “Phase-controlled currents in semiconductors,” Phys. Rev. Lett. 74, 3596–3599 (1995).
[Crossref] [PubMed]

Buckup, T.

B. von Vacano, T. Buckup, and M. Motzkus, “In situ broadband pulse compression for multiphoton microscopy using a shaper-assisted collinear spider,” Opt. Lett. 31, 1154–1156 (2006).
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W. Wohlleben, T. Buckup, J. L. Herek, and M. Motzkus, “Coherent control for spectroscopy and manipulation of biological dynamics,” Chem. Phys. Chem. 6, 850–857 (2005).
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Cao, W.

D. Ray, F. He, S. De, W. Cao, H. Mashiko, P. Ranitovic, K. P. Singh, I. Znakovskaya, U. Thumm, G. G. Paulus, M. F. Kling, I. V. Litvinyuk, and C. L. Cocke, “Ion-energy dependence of asymmetric dissociation of D2 by a two-color laser field,” Phys. Rev. Lett. 103, 223201 (2009).
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Caumes, J. P.

I. J. Sola, E. Mével, L. Elouga, E. Constant, V. Strelkov, L. Poletto, P. Villoresi, E. Benedetti, J. P. Caumes, S. Stagira, C. Vozzi, G. Sansone, and M. Nisoli, “Controlling attosecond electron dynamics by phase-stabilized polarization gating,” Nature Phys. 2, 319–322 (2006).
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Cerullo, G.

C. Manzoni, O. D. Mücke, G. Cirmi, S. Fang, J. Moses, S.-W. Huang, K.-H. Hong, G. Cerullo, and F. X. Kärtner, “Coherent pulse synthesis: towards sub-cycle optical waveforms,” Laser Photonics Rev. 9, 129–171 (2015).
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Chaloupka, J. L.

C. A. Mancuso, K. M. Dorney, D. D. Hickstein, J. L. Chaloupka, J. L. Ellis, F. J. Dollar, R. Knut, P. Grychtol, D. Zusin, C. Gentry, M. Gopalakrishnan, H. C. Kapteyn, and M. M. Murnane, “Controlling nonsequential double ionization in two-color circularly polarized femtosecond laser fields,” Physical Review Letters 117, 133201 (2016).
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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, “Synthesis and Measurement of Ultrafast Waveforms from Five Discrete Optical Harmonics,” Science 318, 1287–1291 (2007).

Chatel, B.

A. Monmayrant, S. Weber, and B. Chatel, “A newcomer’s guide to ultrashort pulse shaping and characterization,” J. Phys. B 43, 103001 (2010).
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A. Monmayrant, B. Chatel, and B. Girard, “Femtosecond spectral electric field reconstruction using coherent transients,” Optics Letters 31, 410–412 (2006).
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Chen, C.-C.

Chipperfield, L. E.

C. A. Haworth, L. E. Chipperfield, J. S. Robinson, P. L. Knight, J. P. Marangos, and J. W. G. Tisch, “Half-cycle cutoffs in harmonic spectra and robust carrier-envelope phase retrieval,” Nat Phys 3, 52–57 (2007).
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Cirmi, G.

C. Manzoni, O. D. Mücke, G. Cirmi, S. Fang, J. Moses, S.-W. Huang, K.-H. Hong, G. Cerullo, and F. X. Kärtner, “Coherent pulse synthesis: towards sub-cycle optical waveforms,” Laser Photonics Rev. 9, 129–171 (2015).
[Crossref]

Cocke, C. L.

D. Ray, F. He, S. De, W. Cao, H. Mashiko, P. Ranitovic, K. P. Singh, I. Znakovskaya, U. Thumm, G. G. Paulus, M. F. Kling, I. V. Litvinyuk, and C. L. Cocke, “Ion-energy dependence of asymmetric dissociation of D2 by a two-color laser field,” Phys. Rev. Lett. 103, 223201 (2009).
[Crossref]

Coello, Y.

Cohen, O.

O. Kfir, P. Grychtol, E. Turgut, R. Knut, D. Zusin, D. Popmintchev, T. Popmintchev, H. Nembach, J. M. Shaw, A. Fleischer, H. Kapteyn, M. Murnane, and O. Cohen, “Generation of bright phase-matched circularly-polarized extreme ultraviolet high harmonics,” Nature Phot. 9, 99–105 (2015).
[Crossref]

Constant, E.

I. J. Sola, E. Mével, L. Elouga, E. Constant, V. Strelkov, L. Poletto, P. Villoresi, E. Benedetti, J. P. Caumes, S. Stagira, C. Vozzi, G. Sansone, and M. Nisoli, “Controlling attosecond electron dynamics by phase-stabilized polarization gating,” Nature Phys. 2, 319–322 (2006).
[Crossref]

Corkum, P. B.

P. B. Corkum and F. Krausz, “Attosecond science,” Nature Phys. 3, 381–387 (2007).
[Crossref]

E. Dupont, P. B. Corkum, H. C. Liu, M. Buchanan, and Z. R. Wasilewski, “Phase-controlled currents in semiconductors,” Phys. Rev. Lett. 74, 3596–3599 (1995).
[Crossref] [PubMed]

Costa, L.

L. Costa, M. Betz, M. Spasenović, A. D. Bristow, and H. M. Van Driel, “All-optical injection of ballistic electrical currents in unbiased silicon,” Nature Phys. 3, 632–635 (2007).
[Crossref]

Dantus, M.

B. Xu, Y. Coello, V. V. Lozovoy, D. A. Harris, and M. Dantus, “Pulse shaping of octave spanning femtosecond laser pulses,” Opt. Express 14, 10939–10944 (2006).
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V. V. Lozovoy, I. Pastirk, and M. Dantus, “Multiphoton intrapulse interference. iv. ultrashort laser pulse spectral phase characterization and compensation,” Opt. Lett. 29, 1–3 (2004).
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De, S.

D. Ray, F. He, S. De, W. Cao, H. Mashiko, P. Ranitovic, K. P. Singh, I. Znakovskaya, U. Thumm, G. G. Paulus, M. F. Kling, I. V. Litvinyuk, and C. L. Cocke, “Ion-energy dependence of asymmetric dissociation of D2 by a two-color laser field,” Phys. Rev. Lett. 103, 223201 (2009).
[Crossref]

Dollar, F. J.

C. A. Mancuso, K. M. Dorney, D. D. Hickstein, J. L. Chaloupka, J. L. Ellis, F. J. Dollar, R. Knut, P. Grychtol, D. Zusin, C. Gentry, M. Gopalakrishnan, H. C. Kapteyn, and M. M. Murnane, “Controlling nonsequential double ionization in two-color circularly polarized femtosecond laser fields,” Physical Review Letters 117, 133201 (2016).
[Crossref] [PubMed]

Dörner, R.

S. Eckart, M. Richter, M. Kunitski, A. Hartung, J. Rist, K. Henrichs, N. Schlott, H. Kang, T. Bauer, H. Sann, L. P. H. Schmidt, M. Schöffler, T. Jahnke, and R. Dörner, “Nonsequential double ionization by counterrotating circularly polarized two-color laser fields,” Physical Review Letters 117, 133202 (2016).
[Crossref] [PubMed]

Dorney, K. M.

C. A. Mancuso, K. M. Dorney, D. D. Hickstein, J. L. Chaloupka, J. L. Ellis, F. J. Dollar, R. Knut, P. Grychtol, D. Zusin, C. Gentry, M. Gopalakrishnan, H. C. Kapteyn, and M. M. Murnane, “Controlling nonsequential double ionization in two-color circularly polarized femtosecond laser fields,” Physical Review Letters 117, 133201 (2016).
[Crossref] [PubMed]

Drescher, M.

M. F. Kling, C. Siedschlag, A. J. Verhoef, J. I. Khan, M. Schultze, T. Uphues, Y. Ni, M. Uiberacker, M. Drescher, F. Krausz, and M. J. J. Vrakking, “Control of electron localization in molecular dissociation,” Science 312, 246–248 (2006).
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R. Kienberger, E. Goulielmakis, M. Uiberacker, A. Baltuska, V. Yakolev, F. Bammer, A. Scrinzi, T. Westerwalbesloh, U. Kleineberg, U. Heinzmann, M. Drescher, and F. Krausz, “Atomic transient recorder,” Nature 427, 817–821 (2004).
[Crossref] [PubMed]

Dudovich, N.

N. Dudovich, D. Oron, and Y. Silberberg, “Single-pulse coherent anti-stokes raman spectroscopy in the fingerprint spectral region,” J. Chem. Phys. 118, 9208–9215 (2003).
[Crossref]

Dupont, E.

E. Dupont, P. B. Corkum, H. C. Liu, M. Buchanan, and Z. R. Wasilewski, “Phase-controlled currents in semiconductors,” Phys. Rev. Lett. 74, 3596–3599 (1995).
[Crossref] [PubMed]

Eckart, S.

S. Eckart, M. Richter, M. Kunitski, A. Hartung, J. Rist, K. Henrichs, N. Schlott, H. Kang, T. Bauer, H. Sann, L. P. H. Schmidt, M. Schöffler, T. Jahnke, and R. Dörner, “Nonsequential double ionization by counterrotating circularly polarized two-color laser fields,” Physical Review Letters 117, 133202 (2016).
[Crossref] [PubMed]

Ellis, J. L.

C. A. Mancuso, K. M. Dorney, D. D. Hickstein, J. L. Chaloupka, J. L. Ellis, F. J. Dollar, R. Knut, P. Grychtol, D. Zusin, C. Gentry, M. Gopalakrishnan, H. C. Kapteyn, and M. M. Murnane, “Controlling nonsequential double ionization in two-color circularly polarized femtosecond laser fields,” Physical Review Letters 117, 133201 (2016).
[Crossref] [PubMed]

Elouga, L.

I. J. Sola, E. Mével, L. Elouga, E. Constant, V. Strelkov, L. Poletto, P. Villoresi, E. Benedetti, J. P. Caumes, S. Stagira, C. Vozzi, G. Sansone, and M. Nisoli, “Controlling attosecond electron dynamics by phase-stabilized polarization gating,” Nature Phys. 2, 319–322 (2006).
[Crossref]

Englert, L.

D. Pengel, S. Kerbstadt, D. Johannmeyer, L. Englert, T. Bayer, and M. Wollenhaupt, “Electron vortices in femtosecond multiphoton ionization,” Phys. Rev. Lett. 118, 053003 (2017).
[Crossref] [PubMed]

S. Kerbstadt, L. Englert, T. Bayer, and M. Wollenhaupt, “Ultrashort polarization-tailored bichromatic fields,” J. Mod. Opt. (published online) (2016), .
[Crossref]

Fang, S.

C. Manzoni, O. D. Mücke, G. Cirmi, S. Fang, J. Moses, S.-W. Huang, K.-H. Hong, G. Cerullo, and F. X. Kärtner, “Coherent pulse synthesis: towards sub-cycle optical waveforms,” Laser Photonics Rev. 9, 129–171 (2015).
[Crossref]

Feurer, T.

Fleischer, A.

O. Kfir, P. Grychtol, E. Turgut, R. Knut, D. Zusin, D. Popmintchev, T. Popmintchev, H. Nembach, J. M. Shaw, A. Fleischer, H. Kapteyn, M. Murnane, and O. Cohen, “Generation of bright phase-matched circularly-polarized extreme ultraviolet high harmonics,” Nature Phot. 9, 99–105 (2015).
[Crossref]

Galler, A.

Gause, O.

Gentry, C.

C. A. Mancuso, K. M. Dorney, D. D. Hickstein, J. L. Chaloupka, J. L. Ellis, F. J. Dollar, R. Knut, P. Grychtol, D. Zusin, C. Gentry, M. Gopalakrishnan, H. C. Kapteyn, and M. M. Murnane, “Controlling nonsequential double ionization in two-color circularly polarized femtosecond laser fields,” Physical Review Letters 117, 133201 (2016).
[Crossref] [PubMed]

Gerber, G.

T. Brixner and G. Gerber, “Femtosecond polarization pulse shaping,” Opt. Lett. 26, 557–559 (2001).
[Crossref]

T. Baumert, T. Brixner, V. Seyfried, M. Strehle, and G. Gerber, “Femtosecond pulse shaping by an evolutionary algorithm with feedback,” Appl. Phys. B 65, 779–782 (1997).
[Crossref]

Girard, B.

A. Monmayrant, B. Chatel, and B. Girard, “Femtosecond spectral electric field reconstruction using coherent transients,” Optics Letters 31, 410–412 (2006).
[Crossref] [PubMed]

Gopalakrishnan, M.

C. A. Mancuso, K. M. Dorney, D. D. Hickstein, J. L. Chaloupka, J. L. Ellis, F. J. Dollar, R. Knut, P. Grychtol, D. Zusin, C. Gentry, M. Gopalakrishnan, H. C. Kapteyn, and M. M. Murnane, “Controlling nonsequential double ionization in two-color circularly polarized femtosecond laser fields,” Physical Review Letters 117, 133201 (2016).
[Crossref] [PubMed]

Goulielmakis, E.

R. Kienberger, E. Goulielmakis, M. Uiberacker, A. Baltuska, V. Yakolev, F. Bammer, A. Scrinzi, T. Westerwalbesloh, U. Kleineberg, U. Heinzmann, M. Drescher, and F. Krausz, “Atomic transient recorder,” Nature 427, 817–821 (2004).
[Crossref] [PubMed]

Grychtol, P.

C. A. Mancuso, K. M. Dorney, D. D. Hickstein, J. L. Chaloupka, J. L. Ellis, F. J. Dollar, R. Knut, P. Grychtol, D. Zusin, C. Gentry, M. Gopalakrishnan, H. C. Kapteyn, and M. M. Murnane, “Controlling nonsequential double ionization in two-color circularly polarized femtosecond laser fields,” Physical Review Letters 117, 133201 (2016).
[Crossref] [PubMed]

O. Kfir, P. Grychtol, E. Turgut, R. Knut, D. Zusin, D. Popmintchev, T. Popmintchev, H. Nembach, J. M. Shaw, A. Fleischer, H. Kapteyn, M. Murnane, and O. Cohen, “Generation of bright phase-matched circularly-polarized extreme ultraviolet high harmonics,” Nature Phot. 9, 99–105 (2015).
[Crossref]

Güdde, J.

J. Güdde, M. Rohleder, T. Meier, S. W. Koch, and U. Höfer, “Controlled electric currents at a metal surface time-resolved investigation of coherently,” Science 318, 1287–1291 (2007).
[Crossref]

Hagemann, F.

Harris, D. A.

Harth, A.

Hartung, A.

S. Eckart, M. Richter, M. Kunitski, A. Hartung, J. Rist, K. Henrichs, N. Schlott, H. Kang, T. Bauer, H. Sann, L. P. H. Schmidt, M. Schöffler, T. Jahnke, and R. Dörner, “Nonsequential double ionization by counterrotating circularly polarized two-color laser fields,” Physical Review Letters 117, 133202 (2016).
[Crossref] [PubMed]

Hasovic, E.

E. Hasović, W. Becker, and D. B. Milošević, “Electron rescattering in a bicircular laser field,” Optics Express 24, 6413–6424 (2016).
[Crossref]

M. F. Kling, J. Rauschenberger, A. J. Verhoef, E. Hasović, T. Uphues, D. B. Milošević, H. G. Muller, and M. J. J. Vrakking, “Imaging of carrier-envelope phase effects in above-threshold ionization with intense few-cycle laser fields,” New J. Phys. 10, 025024 (2008).
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M. Wollenhaupt, A. Präkelt, C. Sarpe-Tudoran, D. Liese, T. Bayer, and T. Baumert, “Femtosecond strong-field quantum control with sinusoidally phase-modulated pulses,” Phys. Rev. A 73, 063409 (2006).
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A. Präkelt, M. Wollenhaupt, A. Assion, C. Horn, C. Sarpe-Tudoran, M. Winter, and T. Baumert, “Compact, robust and flexible setup for femtosecond pulse shaping,” Rev. Sci. Instrum. 74, 4950–4953 (2003).
[Crossref]

M. Wollenhaupt, T. Bayer, and T. Baumert, Control of Ultrafast Electron Dynamics with Shaped Femtosecond Laser Pulses: From Atoms to Solids (Springer, 2015), book section 4, pp. 63–122.

S. Kerbstadt, L. Englert, T. Bayer, and M. Wollenhaupt, “Ultrashort polarization-tailored bichromatic fields,” J. Mod. Opt. (published online) (2016), .
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Wöste, L.

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O. Kfir, P. Grychtol, E. Turgut, R. Knut, D. Zusin, D. Popmintchev, T. Popmintchev, H. Nembach, J. M. Shaw, A. Fleischer, H. Kapteyn, M. Murnane, and O. Cohen, “Generation of bright phase-matched circularly-polarized extreme ultraviolet high harmonics,” Nature Phot. 9, 99–105 (2015).
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Angew. Chem. Int. Ed. (1)

C. Lux, M. Wollenhaupt, T. Bolze, Q. Liang, J. Köhler, C. Sarpe, and T. Baumert, “Circular dichroism in the photoelectron angular distributions of camphor and fenchone from multiphoton ionization with femtosecond laser pulses,” Angew. Chem. Int. Ed. 51, 5001–5005 (2012).
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JOSA B (1)

C. Schwarz, O. Hüter, and T. Brixner, “Full vector-field control of ultrashort laser pulses utilizing a single dual-layer spatial light modulator in a common-path setup,” JOSA B 32, 933–945 (2015).
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Journal of Physics B: Atomic, Molecular and Optical Physics (1)

K.-J. Yuan and A. D. Bandrauk, “Interference asymmetry of molecular frame photoelectron angular distributions in bichromatic uv ionization processes,” Journal of Physics B: Atomic, Molecular and Optical Physics 49, 065601 (2016).
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Nat Phys (1)

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Nature (2)

R. Kienberger, E. Goulielmakis, M. Uiberacker, A. Baltuska, V. Yakolev, F. Bammer, A. Scrinzi, T. Westerwalbesloh, U. Kleineberg, U. Heinzmann, M. Drescher, and F. Krausz, “Atomic transient recorder,” Nature 427, 817–821 (2004).
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Nature Phot. (1)

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Phys. Chem. Chem. Phys. (1)

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[Crossref]

Phys. Rev. A (2)

M. Wollenhaupt, A. Präkelt, C. Sarpe-Tudoran, D. Liese, T. Bayer, and T. Baumert, “Femtosecond strong-field quantum control with sinusoidally phase-modulated pulses,” Phys. Rev. A 73, 063409 (2006).
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M. Wollenhaupt, T. Bayer, and T. Baumert, Control of Ultrafast Electron Dynamics with Shaped Femtosecond Laser Pulses: From Atoms to Solids (Springer, 2015), book section 4, pp. 63–122.

M. Shapiro and P. Brumer, Quantum Control of Molecular Processes, 2nd ed. (Wiley, 2012).

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[Crossref]

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Figures (4)

Fig. 1
Fig. 1

Optical scheme for the generation of polarization-tailored bichromatic fields. The setup is based on a 4 f polarization pulse shaper equipped with dual-layer LC-SLM (LCDs A and B). An order sorting filter (OSF) is mounted in front of LCD A to avoid interference with higher diffraction orders from grating G1. The composite polarizer (CP) mounted behind LCD B enables independent amplitude and phase modulation of two orthogonally polarized bands from the octave-spanning input WLS. The superachromatic QWP at the shaper output (optionally) converts the O-LP output field into a CNR-CP bichromatic field. As exemplified on a (2ω: 3ω)-field, commensurable center frequencies result in propeller-type pulses. The SHG signal of the output pulses from a BBO crystal is detected both for adaptive pulse compression and pulse characterization. For simplicity, an already compressed WL pulse is depicted at the shaper input. Optical components: G: Grating, CM: Cylindrical mirror, FM: Folding mirror.

Fig. 2
Fig. 2

Gaussian-shaped CNR-CP bichromatic fields with commensurable center frequencies generated by amplitude modulation of the ultrabroadband WLS depicted in (a). Different amplitude profiles with frequency ratios of (b) (4ω: 5ω), (c) (3ω: 4ω) and (d) (2ω: 3ω) are shown. Frames (i)–(iii) display the corresponding temporal polarization profiles in terms of measured CCTs. The CCTs describe propeller-type trajectories with characteristic c9, c7 and c5 symmetry, respectively. (e) Temporal characterization of the (3ω: 4ω) field from (c) via shaper-based second order CCs measured in different modes.

Fig. 3
Fig. 3

Bichromatic fields from individual phase modulation of the two orthogonally polarized spectral bands. (a) Bichromatic amplitude profile of a (3ω: 4ω) O-LP field (gray background) with sinusoidal phase modulation functions φ1(ω) (red line) and φ2(ω) (blue lines). (b) and (c) Temporal characterization of the s- and p-component of the modulated field by second order CC. Measured CCTs of the individual sub-pulses reveal Lissajous-type polarization profiles for the bichromatic sub-pulses shown in frames (i)-(v). (d) In the CNR-CP case, the bichromatic sub-pulses exhibit a beating pattern. The beating is fully modulated in the central sub-pulse shown in (e), resulting in a propeller-type polarization profile [frame (viii)]. Rosette-shaped CCTs as shown in frames (vi) and (x) arise due to unequal amplitudes of the two colors in the corresponding sub-pulses.

Fig. 4
Fig. 4

Pulse shaper control of the CEP. (a) CEP fluctuations measured behind the shaper using an f -2 f -interferometer. The discrete steps indicate active switching of the CEP via the LC-SLM. (b)-(d) Temporal characterization of the output fields for different values of the CEP ϕCE. Left: Few-cycle pulses obtained from the compressed WLS with no amplitude modulation applied. Right: Results for a bandwidth-limited (3ω: 4ω) CNR-CP bichromatic pulse.

Equations (13)

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φ A ( ω ) = { φ 1 ( ω ) acos ( A 1 ( ω ) E ˜ i n ( ω ) ) , ω < ω 0 φ 2 ( ω ) + acos ( A 2 ( ω ) E ˜ i n ( ω ) ) , ω ω 0
φ B ( ω ) = { φ 1 ( ω ) acos ( A 1 ( ω ) E ˜ i n ( ω ) ) , ω < ω 0 φ 2 ( ω ) acos ( A 2 ( ω ) E ˜ i n ( ω ) ) , ω ω 0
φ A ( ω ) = { φ 1 ( ω ) acos [ A 1 ( ω ) E ˜ i n ( ω ) cos ( φ 1 ( ω ) ) ] , ω < ω 0 φ 2 ( ω ) + acos [ A 2 ( ω ) E ˜ i n ( ω ) cos ( φ 2 ( ω ) ) ] , ω ω 0
φ B ( ω ) = { φ 1 ( ω ) acos [ A 1 ( ω ) E ˜ i n ( ω ) cos ( φ 1 ( ω ) ) ] , ω < ω 0 φ 2 ( ω ) acos [ A 2 ( ω ) E ˜ i n ( ω ) cos ( φ 2 ( ω ) ) ] , ω ω 0 ,
φ n ( ω ) = φ n ( ω ) + φ r e f , n ( ω ) 2 and φ n ( ω ) = φ n ( ω ) φ r e f , n ( ω ) 2 , n = 1 , 2 .
E ˜ m o d + ( ω ) = 1 2 ( A 1 ( ω ) [ e   i φ 1 ( ω ) + e   i φ r e f , 1 ( ω ) ] A 2 ( ω ) [ e   i φ 1 ( ω ) + e   i φ r e f , 2 ( ω ) ] ) ,
φ r e f , n ( ω ) = φ 0 , n + τ ( ω ω r e f , n ) .
E ˜ ( ω ) = ( E ˜ x + ( w ) E ˜ y + ( w ) ) = 1 2 ( 1 i i 1 ) ( ˜ ( ω ω 1 ) ˜ ( ω ω 2 ) ) = 1 2 ( ˜ ( ω ω 1 ) + i ˜ ( ω ω 2 ) i ˜ ( ω ω 1 ) + ˜ ( ω ω 2 ) ) .
E ( t ) = ( E x ( t ) E y ( t ) ) = ( t ) ( cos ( ω 1 t ) s i n ( ω 2 t ) s i n ( ω 2 t ) + cos ( ω 1 t ) ) ,
E ˜ m o d + ( ω ; τ ) 1 2 ( 1 i i 1 ) ( ˜ ( ω ω 1 ) [ 1 + e i ( φ 0 , 1 + ω τ ) ] ˜ ( ω ω 2 ) [ 1 + e i ( φ 0 , 2 + ω τ ) ] ) .
C x ( τ ; φ 0 , 1 , φ 0 , 2 ) = | E ˜ m o d , x + ( ω , τ ) | 2 d ω = A 0 + A ( τ ) [ c o s ( φ 0 , 1 + ω 1 τ ) + c o s ( φ 0 , 2 + ω 2 τ ) ] ,
C ( τ ) = ( C x ( τ ) C y ( τ ) ) = ( C x ( τ ; 0 , π 2 ) C x ( τ ; π 2 , 0 ) )
α M , N ( ϕ C E , ϕ 1 , ϕ 2 ) = N ( ϕ C E + ϕ 1 ) M ( ϕ C E + ϕ 2 ) M + N .

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