The free-electron laser (FEL), operated for the first time in 1978 [1] is based on the amplification of an optical wave by a high-energy electron beam. After about 20 years of research, it appears that the FEL is mature in the spectral range of UV to infrared, although intensive research is continuing in the field of short wavelength and high power [2].The gain medium of a FEL is a high-energy electron beam (several MeV or more) passing through a transverse magnetic field called "undulator". The undulator causes an electron oscillation perpendicular to its direction of propagation and, therefore, couples it with the optical field. Undulators are also commonly used on storage rings as powerful UV and X ray sources [3]. The relative degree of coherence of the light produced by these sources is due to the periodicity of the undulator providing a higher spectral brilliance than ordinary synchrotron radiation. In addition, under certain conditions, the interaction in the undulator of the emitted radiation with the electron beam leads to light amplification [2]. This effect, when operating within an optical cavity ( Fig. 1), is the principle of the Free-Electron Laser ("FEL").The laser radiation is emitted by the FEL at the "resonance wavelength" λ R :λ o is the magnetic period of the undulator (a few cm in practice); E = γmc 2 is the electron beam energy (Einstein's formula) giving numerically for the relativistic factor: γ ≅ 2.E(MeV); K = eBλ o /2πmc is the deflection parameter proportional to the magnetic field B of the undulator (K = 1 to 3 typically).Tuning of the laser wavelength is done continuously by varying either the undulator gap, which modifies the value of the K parameter, the electron energy or a combination of the two.Typical electron energies are:-5 -10 MeV to produce wavelengths in far infrared -10 -50 MeV mid-infrared -500 -1000 MeV UV -VUV -10 to 20 GeV? X raysThe length of an accelerator is about 1 m/5 MeV, except for electrostatic machines which are longer, but limited to a few MeV.Indeed, the most striking characteristic of the FEL is that the gain medium can be tuned to any wavelength. The lasing range is limited, in principle, only by the energies that can be reached by the accelerator, while attaining sufficiently good beam properties. However, at short wavelength, it is very difficult to obtain a sufficiently high optical gain.In the infrared spectral range, the combination of high achievable gains and broadband metal mirrors leads to continuously tuning FELs over a very wide spectral range (1 or 2 orders of magnitude in wavelength). In the UV & VUV, the reflectivity achievable with mirrors with today technology decrease rapidly at wavelengths shorter than about 200 nm. Therefore, the shortest lasing wavelength is presently about 200 nm [4] and nowadays 5 FELs are operating at 300 nm or below. Coherent emission in the VUV range has been obtained by harmonic generation of an external laser focused on the electron beam [5]. In the future, short wavelength harmonics of the FEL itself could con...