Abstract
Femtosecond lasers can now deliver ultrahigh intensities at focus, making it possible to induce relativistic motion of charged particles with light and opening the way to new generations of compact particle accelerators and X-ray sources. With diameters of up to tens of centimetres, ultra-intense laser beams tend to suffer from spatiotemporal distortions, that is, a spatial dependence of their temporal properties that can dramatically reduce their peak intensities. At present, however, these intense electromagnetic fields are characterized and optimized in space and time separately. Here, we present the first complete spatiotemporal experimental reconstruction of the field E(t,r) for a 100 TW peak-power laser, and reveal the spatiotemporal distortions that can affect such beams. This new measurement capability opens the way to in-depth characterization and optimization of ultra-intense lasers and ultimately to the advanced control of relativistic motion of matter with femtosecond laser beams structured in space–time.
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References
Rullière, C. (ed.) Femtosecond Laser Pulses 2nd edn (Springer, 2007).
Brabec, T. & Krausz, F. Intense few-cycle laser fields: frontiers of nonlinear optics. Rev. Mod. Phys. 72, 545–591 (2000).
Krausz, F. & Ivanov, M. Attosecond physics. Rev. Mod. Phys. 81, 163–234 (2009).
Chang, Z. Fundamentals of Attosecond Optics (CRC, 2011).
Mourou, G. A., Tajima, T. & Bulanov, S. V. Optics in the relativistic regime. Rev. Mod. Phys. 78, 309–371 (2006).
Trebino, R. (ed.) Frequency-Resolved Optical Gating: The Measurement of Ultrashort Laser Pulses (Kluwer Academic, 2000).
Walmsley, I. A. & Dorrer, C. Characterization of ultrashort electromagnetic pulses. Adv. Opt. Photon. 1, 308–437 (2009).
Mairesse, Y. & Quéré, F. Frequency-resolved optical gating for complete reconstruction of attosecond bursts. Phys. Rev. A 71, 011401 (2005).
Akturk, S., Gu, X., Bowlan, P. & Trebino, R. Spatio-temporal couplings in ultrashort laser pulses. J. Opt. 12, 093001 (2010).
Bourassin-Bouchet, C., Stephens, M., de Rossi, S., Delmotte, F. & Chavel, P. Duration of ultrashort pulses in the presence of spatio-temporal coupling. Opt. Express 19, 17357–17371 (2011).
Kim, K. T. et al. Manipulation of quantum paths for space–time characterization of attosecond pulses. Nature Phys. 9, 159–163 (2013).
Bourassin-Bouchet, C., Mang, M. M., Delmotte, F., Chavel, P. & de Rossi, S. How to focus an attosecond pulse. Opt. Express 21, 2506–2520 (2013).
Strickland, D. & Mourou, G. Compression of amplified chirped optical pulses. Opt. Commun. 55, 447–449 (1985).
Trebino, R. et al. Simple devices for measuring complex ultrashort pulses. Laser Photon. Rev. 3, 314–342 (2009).
Gabolde, P. & Trebino, R. Single-shot measurement of the full spatio-temporal field of ultrashort pulses with multi-spectral digital holography. Opt. Express 14, 11460–11467 (2006).
Wyatt, A. S., Walmsley, I. A., Stibenz, G. & Steinmeyer, G. Sub-10 fs pulse characterization using spatially encoded arrangement for spectral phase interferometry for direct electric field reconstruction. Opt. Lett. 31, 1914–1916 (2006).
Bowlan, P., Gabolde, P. & Trebino, R. Directly measuring the spatio-temporal electric field of focusing ultrashort pulses. Opt. Express 15, 10219–10230 (2007).
Bragheri, F. et al. Complete retrieval of the field of ultrashort optical pulses using the angle-frequency spectrum. Opt. Lett. 33, 2952–2954 (2008).
Cousin, S. L., Bueno, J. M., Forget, N., Austin, D. R. & Biegert, J. Three-dimensional spatiotemporal pulse characterization with an acousto-optic pulse shaper and a Hartmann–Shack wavefront sensor. Opt. Lett. 37, 3291–3293 (2012).
Eilenberger, F., Brown, A., Minardi, S. & Pertsch, T. Imaging cross-correlation FROG: measuring ultrashort, complex, spatiotemporal fields. Opt. Express 21, 25968–25976 (2013).
Gallet, V., Kahaly, S., Gobert, O. & Quéré, F. Dual spectral-band interferometry for spatio-temporal characterization of high-power femtosecond lasers. Opt. Lett. 39, 4687–4690 (2014).
Powell, D. Europe sets sights on lasers. Nature 14, 264–265 (2013).
Chu, Y. et al. High-contrast 2.0 petawatt Ti:sapphire laser system. Opt. Express 21, 29231–29239 (2013).
Sung, J. H., Lee, S. K., Yu, T. J., Jeong, T. M. & Lee, J. 0.1 Hz 1.0 PW Ti:sapphire laser. Opt. Lett. 35, 3021–3023 (2010).
Gaul, E. W. et al. Demonstration of a 1.1 petawatt laser based on a hybrid optical parametric chirped pulse amplification/mixed Nd:glass amplifier. Appl. Opt. 49, 1676–1681 (2010).
Miranda, M. et al. Spatiotemporal characterization of ultrashort laser pulses using spatially resolved Fourier transform spectrometry. Opt. Lett. 39, 5142–5145 (2014).
Gallet, V. (ed.) Dispositifs Expérimentaux pour la Caractérisation Spatio-Temporelle de Chaines Laser Femtosecondes Haute-Puissance (Thèse de l'Univ. Paris XI, 2014).
Gallmann, L. et al. Spatially resolved amplitude and phase characterization of femtosecond optical pulses. Opt. Lett. 26, 96–98 (2001).
Akturk, S., Gu, X., Gabolde, P. & Trebino, R. The general theory of first-order spatio-temporal distortions of Gaussian pulses and beams. Opt. Express 13, 8642–8661 (2005).
Hebling, J. Derivation of the pulse front tilt caused by angular dispersion. Opt. Quantum Electron. 28, 1759–1763 (1996).
Bor, Z. Distortion of femtosecond laser pulses in lenses. Opt. Lett. 14, 119–121 (1989).
Moulet, A., Grabielle, S., Cornaggia, C., Forget, N. & Oksenhendler, T. Single-shot, high-dynamic-range measurement of sub-15 fs pulses by self-referenced spectral interferometry. Opt. Lett. 35, 3856–3858 (2010).
Kahaly, S. et al. Investigation of amplitude spatio-temporal couplings at the focus of a 100 TW–25 fs laser. Appl. Phys. Lett. 104, 054103 (2014).
Esarey, E., Schroeder, C. B. & Leemans, W. P. Physics of laser-driven plasma-based electron accelerators. Rev. Mod. Phys. 81, 1229–1285 (2009).
Macchi, A., Borghesi, M. & Passoni, M. Ion acceleration by superintense laser–plasma interaction. Rev. Mod. Phys. 85, 751–793 (2013).
Teubner, U. & Gibbon, P. High-order harmonics from laser-irradiated plasma surfaces. Rev. Mod. Phys. 81, 445–479 (2009).
Thaury, C. & Quéré, F. High-order harmonic and attosecond pulse generation on plasma mirrors: basic mechanisms. J. Phys. B 43, 213001 (2010).
Vincenti, H. & Quéré, F. Attosecond lighthouses: how to use spatiotemporally coupled light fields to generate isolated attosecond pulses. Phys. Rev. Lett. 108, 113904 (2012).
Pariente, G. & Quéré, F. Spatio-temporal light springs: extended encoding of orbital angular momentum in ultrashort pulses. Opt. Lett. 40, 2037–2040 (2015).
Acknowledgements
The authors thank P. d'Oliveira, F. Réau, C. Pothier and D. Garzella for operating the UHI100 laser source. The research leading to these results has received funding from the European Research Council (ERC grant agreements nos 240013 and 334948). A.B. acknowledges support from the Marie Curie Fellowship EU-FP7-IEF-ALPINE (627856) and G.P. IDEX Paris Saclay for his PhD grant.
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G.P., V.G. and F.Q. developed the TERMITES technique. G.P. and V.G. built the experimental set-up and G.P. developed the data processing program and analysis/visualization tools with initial contributions from V.G. The measurements were performed and analysed by G.P. and A.B. F.Q. and O.G. supervised the overall work.
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Pariente, G., Gallet, V., Borot, A. et al. Space–time characterization of ultra-intense femtosecond laser beams. Nature Photon 10, 547–553 (2016). https://doi.org/10.1038/nphoton.2016.140
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DOI: https://doi.org/10.1038/nphoton.2016.140
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