Exact and variational solutions of 3D eigenmodes in high gain FELs [Exact and variational solutions of 3D eigenmodes in high gain free electron lasers]
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Exact solution and variational approximation of eigenmodes in high gain FELs are presented. These eigenmodes specify transverse profiles and exponential growth rates of the laser field before saturation. They are self-consistent solutions of coupled Maxwell–Vlasov equations describing FEL interaction taking into account the effects due to energy spread, emittance and betatron oscillations of the electron beam, as well as diffraction and optical guiding of the laser field. A new formalism of scaling is introduced and based on which solutions in various limiting cases are discussed. Additionally, a fitting formula is obtained from interpolating the variational solution for quick calculation of exponential growth rate of the fundamental mode.
- Research Organization:
- Lawrence Berkeley National Laboratory, Berkeley, CA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- DOE Contract Number:
- AC03-76SF00098
- OSTI ID:
- 751801
- Report Number(s):
- LBNL-44477; R&D Project: 455301
- Journal Information:
- Nuclear Instruments and Methods in Physics Research. Section A, Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 445, Issue 1-3; ISSN 0168-9002
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
Similar Records
Three-dimensional theory of the small-signal high-gain free-electron laser including betatron oscillations
Scaling relations and parameters for 1 Angstrom FEL. [Free Electron Laser]