Abstract
Extreme-ultraviolet (XUV) sources including high-harmonic generation (HHG), free-electron lasers (FELs), soft-X-ray lasers and laser-driven plasmas are widely used for applications ranging from femtochemistry and attosecond science to coherent diffractive imaging and EUV (or XUV) lithography. The bandwidth of the XUV light emitted by these sources reflects the XUV generation process used. Whereas light from soft-X-ray lasers1 and seeded XUV FELs2 typically has a relatively narrow bandwidth, plasma sources and HHG sources often emit broadband XUV pulses3. Since these characteristic properties of a given source impose limitations on applications, techniques enabling modification of the bandwidth are highly desirable. Here we introduce a concept for efficient spectral compression by four-wave mixing (FWM), exploiting a phase-matching scheme based on closely-spaced resonances. We demonstrate the compression of broadband radiation in the 145–130 nm wavelength range into a narrow-bandwidth XUV pulse at 100.3 nm wavelength in the presence of a broadband near-infrared (NIR) pulse in a krypton gas jet. Our concept provides new possibilities for tailoring the spectral bandwidth of XUV beams.
This is a preview of subscription content, access via your institution
Access options
Access Nature and 54 other Nature Portfolio journals
Get Nature+, our best-value online-access subscription
$29.99 / 30 days
cancel any time
Subscribe to this journal
Receive 12 print issues and online access
$209.00 per year
only $17.42 per issue
Buy this article
- Purchase on Springer Link
- Instant access to full article PDF
Prices may be subject to local taxes which are calculated during checkout
Similar content being viewed by others
Data availability
The data that support the plots within this paper and other findings of this study are available from the corresponding author upon reasonable request.
Code availability
The codes that produced the modelled data within this paper and other findings of this study are available from the corresponding author upon reasonable request.
References
Rocca, J. J. Table-top soft x-ray lasers. Rev. Sci. Instrum. 70, 3799–3827 (1999).
Allaria, E. et al. Highly coherent and stable pulses from the FERMI seeded free-electron laser in the extreme ultraviolet. Nat. Photon. 6, 699–704 (2012).
Krausz, F. & Ivanov, M. Attosecond physics. Rev. Mod. Phys. 81, 163–234 (2009).
Poletto, L. et al. Time-delay compensated monochromator for the spectral selection of extreme-ultraviolet high-order laser harmonics. Rev. Sci. Instrum. 80, 123109 (2009).
Hatayama, M. et al. Wide-range narrowband multilayer mirror for selecting a single-order harmonic in the photon energy range of 40–70 eV. Opt. Express 24, 14546–14551 (2016).
Bengtsson, S. et al. Space–time control of free induction decay in the extreme ultraviolet. Nat. Photon. 11, 252–258 (2017).
Sandberg, R. L. et al. Lensless diffractive imaging using tabletop coherent high-harmonic soft-X-ray beams. Phys. Rev. Lett. 99, 098103 (2007).
Sie, E. J., Rohwer, T., Lee, C. & Gedik, N. Time-resolved XUV ARPES with tunable 24–33 eV laser pulses at 30 meV resolution. Nat. Commun. 10, 3535 (2019).
Wagner, C. & Harned, N. Lithography gets extreme. Nat. Photon. 4, 24–26 (2010).
Dorman, C., Kucukkara, I. & Marangos, J. P. Measurement of high conversion efficiency to 123.6-nm radiation in a four-wave-mixing scheme enhanced by electromagnetically induced transparency. Phys. Rev. A 61, 013802 (1999).
Liu, Y. et al. Extreme ultraviolet time- and angle-resolved photoemission setup with 21.5 meV resolution using high-order harmonic generation from a turn-key Yb:KGW amplifier. Rev. Sci. Instrum. 91, 013102 (2020).
Mills, A. K. et al. Cavity-enhanced high harmonic generation for extreme ultraviolet time- and angle-resolved photoemission spectroscopy. Rev. Sci. Instrum. 90, 083001 (2019).
Benediktovitch, A. et al. Amplified spontaneous emission in the extreme ultraviolet by expanding xenon clusters. Phys. Rev. A 101, 063412 (2020).
Mercadier, L. et al. Evidence of extreme ultraviolet superfluorescence in xenon. Phys. Rev. Lett. 123, 023201 (2019).
Harries, J. R. et al. Superfluorescence, free-induction decay, and four-wave mixing: propagation of free-electron laser pulses through a dense sample of helium ions. Phys. Rev. Lett. 121, 263201 (2018).
Yoneda, H. et al. Atomic inner-shell laser at 1.5-ångström wavelength pumped by an X-ray free-electron laser. Nature 524, 446–449 (2015).
Rohringer, N. et al. Atomic inner-shell X-ray laser at 1.46 nanometres pumped by an X-ray free-electron laser. Nature 481, 488–491 (2012).
Heeg, K. P. et al. Spectral narrowing of x-ray pulses for precision spectroscopy with nuclear resonances. Science 357, 375–378 (2017).
Hilber, G., Lago, A. & Wallenstein, R. Broadly tunable vacuum-ultraviolet/extreme-ultraviolet radiation generated by resonant third-order frequency conversion in krypton. J. Opt. Soc. Am. B 4, 1753–1764 (1987).
Cao, W., Warrick, E. R., Fidler, A., Leone, S. R. & Neumark, D. M. Near-resonant four-wave mixing of attosecond extreme-ultraviolet pulses with near-infrared pulses in neon: detection of electronic coherences. Phys. Rev. A 94, 021802 (2016).
Cao, W., Warrick, E. R., Fidler, A., Neumark, D. M. & Leone, S. R. Noncollinear wave mixing of attosecond XUV and few-cycle optical laser pulses in gas-phase atoms: toward multidimensional spectroscopy involving XUV excitations. Phys. Rev. A 94, 053846 (2016).
Ding, T. et al. Time-resolved four-wave-mixing spectroscopy for inner-valence transitions. Opt. Lett. 41, 709–712 (2016).
Harkema, N. et al. Controlling attosecond transient absorption with tunable, non-commensurate light fields. Opt. Lett. 43, 3357–3360 (2018).
Fidler, A. P. et al. Nonlinear XUV signal generation probed by transient grating spectroscopy with attosecond pulses. Nat. Commun. 10, 1384 (2019).
Bideau-Mehu, A., Guern, Y., Abjean, R. & Johannin-Gilles, A. Measurement of refractive indices of neon, argon, krypton and xenon in the 253.7–140.4 nm wavelength range. Dispersion relations and estimated oscillator strengths of the resonance lines. J. Quant. Spectrosc. Radiat. Transf. 25, 395–402 (1981).
Drescher, L. et al. Extreme-ultraviolet refractive optics. Nature 564, 91–94 (2018).
Saloman, E. B. Energy levels and observed spectral lines of krypton, Kr I through Kr XXXVI. J. Phys. Chem. Ref. Data 36, 215–386 (2007).
Chu, H.-h & Wang, J. Efficient extreme-UV-to-extreme-UV conversion by four-wave mixing with intense near-IR pulses in highly charged ion plasmas. Phys. Rev. A 97, 053840 (2018).
Drescher, L. et al. State-resolved probing of attosecond timescale molecular dipoles. J. Phys. Chem. Lett. 10, 265–269 (2019).
Galbraith, M. C. E. et al. XUV-induced reactions in benzene on sub-10 fs timescale: nonadiabatic relaxation and proton migration. Phys. Chem. Chem. Phys. 19, 19822–19828 (2017).
He, X. et al. Spatial and spectral properties of the high-order harmonic emission in argon for seeding applications. Phys. Rev. A 79, 063829 (2009).
Klarsfeld, S. A modified Bates–Damgaard method. J. Phys. B 21, L717–L721 (1988).
Wu, M., Chen, S., Camp, S., Schafer, K. J. & Gaarde, M. B. Theory of strong-field attosecond transient absorption. J. Phys. B 49, 062003 (2016).
Muller, H. An efficient propagation scheme for the time-dependent Schrödinger equation in the velocity gauge. Laser Phys. 9, 138–148 (1999).
Acknowledgements
We would like to thank A. A. Ünal for his support and M. Ivanov, M. Richter, F. Morales, A. Husakou and S. Patchkovskii for helpful discussions.
Author information
Authors and Affiliations
Contributions
B.S. had the idea for the bandwidth compression scheme. L.D., B.S. and V.S. performed the measurements. M.V. performed the TDSE and Maxwell equation calculations. L.D. performed the perturbative calculations. L.D., B.S. and O.K. performed the data analysis. All authors contributed to the creation of the manuscript.
Corresponding authors
Ethics declarations
Competing interests
The authors declare no competing interests.
Additional information
Peer review information Nature Photonics thanks the anonymous reviewers for their contribution to the peer review of this work.
Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Extended data
Extended Data Fig. 1 Photoelectron spectrum of Xe ionized by the narrow bandwidth feature around 12.365 eV.
The kinetic energy spectrum is calculated from Abel-inverted photoelectron momentum distribution by angular integration between 85∘ and 95∘. A non-linear least squares fit of a Gaussian profile yields a FWHM of 4.0 +/- 0.3 meV (solid line). For more information see Supplementary Information.
Extended Data Fig. 2 Efficiency estimation.
XUV spectra have been recorded for a minimal NIR intensity (destructive interference, blue line) and maximal NIR intensity (constructive interference, orange line). In the maximal NIR intensity, the narrow-bandwidth emission at 12.365 eV is observed, together with a decreased spectral intensity in the region between 9.0 eV and 9.64 eV. To estimate efficiencies, the emission (orange shade) and the incident area between 9 eV and 9.64 eV (blue shade) areas are calculated. For more information see Supplementary Information.
Supplementary information
Supplementary Information
Supplementary Figs. 1–5, discussion and refs. 1–12.
Rights and permissions
About this article
Cite this article
Drescher, L., Kornilov, O., Witting, T. et al. Extreme-ultraviolet spectral compression by four-wave mixing. Nat. Photonics 15, 263–266 (2021). https://doi.org/10.1038/s41566-020-00758-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1038/s41566-020-00758-8
This article is cited by
-
Progress and prospects in nonlinear extreme-ultraviolet and X-ray optics and spectroscopy
Nature Reviews Physics (2023)
-
Coherent control of ultrafast extreme ultraviolet transient absorption
Nature Photonics (2022)
-
Ultraviolet supercontinuum generation driven by ionic coherence in a strong laser field
Nature Communications (2022)
-
Spectral narrowing broadens applications
Nature Photonics (2021)