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Researchers identified the threshold for nonlinear X-ray interactions, specifically two-photon X-ray absorption (TPA), using X-ray free electron lasers (XFELs). This study clarifies when new X-ray techniques become unreliable due to high photon intensity.

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Area of Science:

  • Atomic and Molecular Physics
  • Quantum Optics
  • Materials Science

Background:

  • Traditional X-ray methods rely on linear responses to photon counts.
  • X-ray free electron lasers (XFELs) enable unprecedented high photon numbers and ultrashort pulse durations.
  • High X-ray peak power from XFELs introduces nonlinear effects, challenging established techniques.

Purpose of the Study:

  • To investigate the threshold for nonlinear X-ray interactions.
  • To establish the operational regimes for two-photon X-ray absorption (TPA).
  • To understand the impact of high X-ray intensity on spectroscopic measurements.

Main Methods:

  • Utilized X-ray spectroscopy to probe nonlinear phenomena.
  • Systematically varied incident X-ray intensity and photon energy.
  • Analyzed the onset and characteristics of two-photon X-ray absorption (TPA).

Main Results:

  • Determined specific intensity and photon energy regimes where TPA occurs.
  • Quantified the probability of TPA as a function of photon energy.
  • Confirmed the nature and sub-femtosecond lifetime of the intermediate virtual electronic state.

Conclusions:

  • Accurate knowledge of nonlinear X-ray thresholds is crucial for advancing X-ray science.
  • This work provides essential data for the reliable application of high-intensity X-ray sources.
  • The findings pave the way for new spectroscopic investigations using nonlinear X-ray interactions.