Superfluorescence, free-induction decay, and four-wave mixing: propagation of free-electron laser pulses through a dense sample of helium ions
James R Harries, Hiroshi Iwayama, Susumu Kuma, Masatomi Iizawa,, Norihiro Suzuki, Yoshiro Azuma, Ichiro Inoue, Shigeki Ohwada, Norihiro, Suzuki, Tadashi Togashi, Kensuke Tono, Makina Yabashi, and Eiji Shigemasa

TL;DR
This study investigates how 24.3 nm free-electron laser pulses propagate through helium gas, leading to various emissions including superfluorescence and free-induction decay, supported by experimental and numerical analysis.
Contribution
It provides the first detailed experimental and numerical analysis of free-electron laser pulse propagation in helium, revealing multiple superfluorescence and decay phenomena.
Findings
Observation of directional emissions at multiple wavelengths
Identification of superfluorescence cascades in helium ions
Detection of free-induction decay signals
Abstract
We report an experimental and numerical study of the propagation of free-electron laser pulses (wavelength 24.3 nm) through helium gas. Ionisation and excitation populates the He 4 state. Strong, directional emission was observed at wavelengths of 469 nm, 164 nm, 30.4 nm, and 24.5 nm. We interpret the emissions at 469 nm and 164 nm as 4-3-2 cascade superfluorescence, that at 30.4 nm as yoked superfluorescence on the 2-1 transition, and that at 25.6 nm as free-induction decay of the 3 state.
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