1 Lasers, Free-Electron Claudio Pellegrini and Sven Reiche • Q1 University of California, Los Angeles, CA 90095-1547, USA e-mail:
[email protected];
[email protected] Abstract Free-electron lasers are radiation sources, based on the coherent emission of synchrotron radiation of relativistic electrons within an undulator or wiggler. The resonant radiation wavelength depends on the electron beam energy and can be tuned over the entire spectrum from micrometer to X-ray radiation. The emission level of free-electron lasers is several orders of magnitude larger than the emission level of spontaneous synchrotron radiation, because the interaction between the electron beam and the radiation field modulates the beam current with the periodicity of the resonant radiation wavelength. The high brightness and the spectral range of this kind of radiation source allows studying physical and chemical processes on a femtosecond scale with angstrom resolution. Keywords free-electron laser; undulator; microbunching; SASE FEL; FEL oscillator; FEL amplifier; FEL parameter; gain length. 1 Introduction 2 2 Physical and Technical Principles 5 2.1 Undulator Spontaneous Radiation 6 2.2 The FEL Amplification 7 2.3 The Small-signal Gain Regime 10 2.4 High-gain Regime and Electron Beam Requirement 11 2.5 Three-dimensional Effects 13 OE038 2 Lasers, Free-Electron 2.6 Longitudinal Effects, Starting from Noise 14 2.7 Storage Ring–based FEL Oscillators 16 3 Present Status 17 3.1 Single-pass Free-electron Lasers 17 3.2 Free-electron Laser Oscillators 18 4 Future Development 20 Glossary 21 References 23 Further Reading 24 1 accelerator and can be used to accelerate Introduction the electron beam to higher energies.