Abstract
Ultrafast extreme-ultraviolet (XUV) and X-ray sources are revolutionizing our ability to follow femtosecond processes with ångström-scale resolution. The next frontier is to simultaneously control the direction, duration and timing of such radiation. Here, we demonstrate a fully functional opto-optical modulator for XUV light, similar to modulators available at infrared (IR) and visible wavelengths. It works by using an IR pulse to control the spatial and spectral phase of the free induction decay that results from using attosecond pulses to excite a gas. The modulator allows us to send the XUV light in a direction of our choosing at a time of our choosing. The inherent synchronization of the XUV emission to the control pulse will allow laser-pump/X-ray probe experiments with sub-femtosecond time resolution.
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References
Debye, P. & Sears, F. W. On the scattering of light by supersonic waves. Proc. Natl Acad. Sci. USA 18, 409–414 (1932).
Weiner, A. M. Femtosecond pulse shaping using spatial light modulators. Rev. Sci. Instrum. 71, 1929–1960 (2000).
Kao, C. K. Nobel lecture: Sand from centuries past: send future voices fast. Rev. Mod. Phys. 82, 2299–2303 (2010).
Paul, P. M. et al. Observation of a train of attosecond pulses from high harmonic generation. Science 292, 1689–1692 (2001).
Hentschel, M. et al. Attosecond metrology. Nature 414, 509–513 (2001).
Krausz, F. & Ivanov, M. Attosecond physics. Rev. Mod. Phys. 81, 163–234 (2009).
McPherson, A. et al. Studies of multiphoton production of vacuum-ultraviolet radiation in the rare gases. J. Opt. Soc. Am. B 4, 595–601 (1987).
Ferray, M., L'Huillier, A., Li, X. F., Mainfray, G. & Manus, C. Multiple-harmonic conversion of 1064 nm radiation in rare gases. J. Phys. B 21, L31–L35 (1988).
Schafer, K. J., Yang, B., DiMauro, L. F. & Kulander, K. C. Above threshold ionization beyond the high harmonic cutoff. Phys. Rev. Lett. 70, 1599–1602 (1993).
Corkum, P. B. Plasma perspective on strong-field multiphoton ionization. Phys. Rev. Lett. 71, 1994–1997 (1993).
Lewenstein, M., Balcou, P., Ivanov, M., L'Huillier, A. & Corkum, P. B. Theory of high-order harmonic generation by low-frequency laser fields. Phys. Rev. A 49, 2117–2132 (1994).
Ackermann, W. et al. Operation of a free-electron laser from the extreme ultraviolet to the water window. Nat. Photon. 1, 336–342 (2007).
Emma, P. et al. First lasing and operation of an ångstrom-wavelength free-electron laser. Nat. Photon. 4, 641–647 (2010).
Drescher, M. et al. Time-resolved atomic inner-shell spectroscopy. Nature 419, 803–807 (2002).
Kling, M. F. et al. Control of electron localization in molecular dissociation. Science 312, 246–248 (2006).
Stockman, M., Kling, M., Kleineberg, U. & Krausz, F. Attosecond nanoplasmonic-field microscope. Nat. Photon. 1, 539–544 (2007).
Cavalieri, A. L. et al. Attosecond spectroscopy in condensed matter. Nature 449, 1029–1032 (2007).
Sansone, G. et al. Electron localization following attosecond molecular photoionization. Nature 465, 763–766 (2010).
Fang, L. et al. Double core-hole production in N2: beating the Auger clock. Phys. Rev. Lett. 105, 083005 (2010).
Cryan, J. P. et al. Auger electron angular distribution of double core-hole states in the molecular reference frame. Phys. Rev. Lett. 105, 083044 (2010).
Glownia, J. M. et al. Time-resolved pump-probe experiments at the LCLS. Opt. Express 18, 17620–17630 (2010).
Young, L. et al. Femtosecond electronic response of atoms to ultra-intense X-rays. Nature 466, 56–61 (2010).
Goulielmakis, E. et al. Real-time observation of valence electron motion. Nature 466, 739–743 (2010).
Doumy, G. et al. Nonlinear atomic response to intense ultrashort X rays. Phys. Rev. Lett. 106, 083002 (2011).
Klünder, K. et al. Probing single-photon ionization on the attosecond time scale. Phys. Rev. Lett. 106, 143002 (2011).
Bloch, F. Nuclear induction. Phys. Rev. 70, 460–474 (1946).
Hahn, E. L. Nuclear induction due to free Larmor precession. Phys. Rev. 77, 297–298 (1950).
Brewer, R. G. & Shoemaker, R. L. Optical free induction decay. Phys. Rev. A 6, 2001–2007 (1972).
Hopf, F. A., Shea, R. F. & Scully, M. O. Theory of optical free-induction decay and two-photon superradiance. Phys. Rev. A 7, 2105–2110 (1973).
Fano, U. Effects of configuration interaction on intensities and phase shifts. Phys. Rev. 124, 1866–1878 (1961).
Gruson, V. et al. Attosecond dynamics through a Fano resonance: monitoring the birth of a photoelectron. Science 354, 734–738 (2016).
Kaldun, A. et al. Observing the ultrafast buildup of a Fano resonance in the time domain. Science 354, 738–741 (2016).
Wang, H. et al. Attosecond time-resolved autoionization of argon. Phys. Rev. Lett. 105, 143002 (2010).
Ott, C. et al. Reconstruction and control of a time-dependent two-electron wave packet. Nature 516, 374–378 (2014).
Beck, A. R. et al. Attosecond transient absorption probing of electronic superpositions of bound states in neon: detection of quantum beats. New J. Phys. 16, 113016 (2014).
Liao, C.-T., Sandhu, A., Camp, S., Schafer, K. J. & Gaarde, M. B. Beyond the single-atom response in absorption line shapes: probing a dense, laser-dressed helium gas with attosecond pulse trains. Phys. Rev. Lett. 114, 143002 (2015).
Wu, M., Chen, S., Gaarde, M. B. & Schafer, K. J. Time-domain perspective on Autler-Townes splitting in attosecond transient absorption of laser-dressed helium atoms. Phys. Rev. A 88, 043416 (2013).
Bernhardt, B. et al. High-spectral-resolution attosecond absorption spectroscopy of autoionization in xenon. Phys. Rev. A 89, 023408 (2014).
Vura-Weis, J. et al. Femtosecond M2,3-edge spectroscopy of transition-metal oxides: photoinduced oxidation state change in α-Fe2O3 . J. Phys. Chem. Lett. 4, 3667–3671 (2013).
Beaulieu, S. et al. Role of excited states in high-order harmonic generation. Phys. Rev. Lett. 117, 203001 (2016).
Camp, S., Schafer, K. J. & Gaarde, M. B . Interplay between resonant enhancement and quantum path dynamics in harmonic generation in helium. Phys. Rev. A 92, 013404 (2015).
Ott, C. et al. Lorentz meets Fano in spectral line shapes: a universal phase and its laser control. Science 340, 716–720 (2013).
Gaarde, M. B., Buth, C., Tate, J. L. & Schafer, K. J. Transient absorption and reshaping of ultrafast XUV light by laser-dressed helium. Phys. Rev. A 83, 013419 (2011).
Berrah, N. et al. Angular-distribution parameters and R-matrix calculation of Ar 3s−1–np resonances. J. Phys. B 29, 5351–5365 (1996).
Lambert, G. et al. Injection of harmonics generated in gas in a free-electron laser providing intense and coherent extreme-ultraviolet light. Nat. Phys. 4, 296–300 (2008).
Acknowledgements
This research was supported by the Swedish Foundation for Strategic Research, the Crafoord Foundation, the European Research Council (no. 339253), the Swedish Research Council, the Knut and Alice Wallenberg Foundation and the European Union Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement no. 641789 MEDEA (Molecular Electron Dynamics investigated by IntensE Fields and Attosecond Pulses). Research at Louisiana State University was supported by the US Department of Energy, Office of Science, Basic Energy Sciences, under contract no. DE-SC0010431. Portions of this research were conducted with high performance computing resources provided by Louisiana State University (http://www.hpc.lsu.edu).
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S.B., E.W.L., D.K., L.R. and J.M. designed the experiment and built the experimental set-up. S.B. and E.W.L. conducted the experiments. A.L.H., C.L.A., M.M. and E.W.L. delivered and maintained the experimental laser system. S.C., M.B.G. and K.J.S. carried out the theoretical calculations and contributed to the interpretation of the experimental results. J.M., E.W.L., S.B. and K.J.S. wrote a major part of the manuscript. All authors contributed to the discussion of the results and commented on the manuscript.
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Bengtsson, S., Larsen, E., Kroon, D. et al. Space–time control of free induction decay in the extreme ultraviolet. Nature Photon 11, 252–258 (2017). https://doi.org/10.1038/nphoton.2017.30
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DOI: https://doi.org/10.1038/nphoton.2017.30
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