Abstract

We analyze an optical phenomenon taking place in waveguide free-electron lasers, which disturbs, or forbids, operation in far infrared range. Waveguides in the optical cavity are used in far-infrared and THz ranges in order to avoid diffraction optical losses, and a hole coupling on output mirror is used for laser extraction. We show that, when the length of the waveguide exceeds a given limit, a phenomenon of ``mode disorder'' appears in the cavity, which makes the laser difficult, or impossible, to work properly. This phenomenon is even more important when the waveguide covers the whole length of the cavity. A numerical simulation describes this effect, which creates discontinuities of the laser power in the spectral domain. We show an example with an existing infrared Free-Electron Laser, which exhibits such discontinuities of the power, and where no convincing explanation was proposed until now.

Highlights

  • Several infrared free-electron lasers (FEL) are presently used, around the world, as light sources by a large scientific community [1,2]

  • The laser power extraction is generally performed by a hole coupling on the output mirror of the cavity, since no wideband mirror exists in infrared and most parts of substrates contain absorption bands

  • Eigenmode distribution in the waveguide section. This discussion does not involve the notion of eigenmodes in the waveguide section, but it is interesting to see the distribution of eigenmode of CLIO, and compare to the pattern displayed in Fig. 8 corresponding to the configuration of FLARE

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Summary

INTRODUCTION

Several infrared free-electron lasers (FEL) are presently used, around the world, as light sources by a large scientific community [1,2]. Optical cavity length: 7.5 m Mirrors radius of curvature: 4.81 m in horizontal Extraction hole: 2.5 × 10 mm (vertical slit) Waveguide transverse size: 200 × 10 mm Undulator period: 110 mm Number of undulator periods: 40 Undulator parameter Krms: 0.7–3.4 Electron beam energy: 10–15 MeV Energy spread: 0.8% (nominal 1⁄4 0.3%) Electron beam transverse size: σXY 1⁄4 5 × 4 mm RMS Bunch charge: 150 pC Micro-pulse duration: 10 ps (nominal 1⁄4 3 ps) Micro-pulse frequency: 3 GHz Macro-pulse duration: 10 μs Macro-pulse repetition rate: 10 Hz applied independently to each eigenmode. Several causes may be involved in such spiky behavior: the gain, the cavity losses and the extraction rate These parameters are strongly dependent on the transverse laser profile inside the optical cavity. These two effects, laser extraction and required gain variations, are responsible of the spiky behavior of the laser power observed in simulations on Fig. 4, and in measurements on Fig. 1

Eigenmode distribution
Influence of the waveguide length
Eigenmode distribution in the waveguide section
NUMERICAL SIMULATION USING A FULL CAVITY WAVEGUIDE
Without hole coupling
Uniform transverse distribution of the gain
Uniform gain and hole coupling
Findings
CONCLUSION
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