X-ray free-electron lasers (FELs), which amplify light emitted by a relativistic electron beam, are extending nonlinear optical techniques to shorter wavelengths, adding element specificity by exciting and probing electronic transitions from core levels. These techniques would benefit tremendously from having a stable FEL source, generating spectrally pure and wavelength-tunable pulses. We show that such requirements can be met by operating the FEL in the so-called echo-enabled harmonic generation (EEHG) configuration. Here, two external conventional lasers are used to precisely tailor the longitudinal phase space of the electron beam before emission of X-rays. We demonstrate high-gain EEHG lasing producing stable, intense, nearly fully coherent pulses at wavelengths as short as 5.9 nm (~211 eV) at the FERMI FEL user facility. Low sensitivity to electron-beam imperfections and observation of stable, narrow-band, coherent emission down to 2.6 nm (~474 eV) make the technique a prime candidate for generating laser-like pulses in the X-ray spectral region, opening the door to multidimensional coherent spectroscopies at short wavelengths.
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The data that support the plots within this paper and other findings of this study are available from the corresponding authors upon reasonable request.
The FEL code Genesis is available at http://genesis.web.psi.ch.
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The authors thank G. Stupakov, S. Bettoni, D. Ratner, G. Marcus, F. Bencivenga, E. Pedersoli, M. Sacchi, C. Callegari, Z. Huang, T. Raubenheimer and A. Zholents for useful discussions. The authors also acknowledge the continuous support of R. Godnig, R. Bracco, R. Visintini, and the FERMI – Elettra operator group during the experiment. This work was supported in part by the Director, Office of Science, Office of Basic Energy Sciences, of the US Department of Energy under contract nos DE-AC02-76SF00515 and DE-AC02-05CH11231 and award no. 2017-SLAC-100382. D.G. was supported by an Outgoing CEA fellowship from the CEA-Enhanced Eurotalents programme, co-funded by FP7 Marie-Skłodowska-Curie COFUND programme (grant agreement 600382).
The authors declare no competing interests.
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Rebernik Ribič, P., Abrami, A., Badano, L. et al. Coherent soft X-ray pulses from an echo-enabled harmonic generation free-electron laser. Nat. Photonics 13, 555–561 (2019). https://doi.org/10.1038/s41566-019-0427-1
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