Three-Dimensional Numerical Simulations of FELs by Transverse Mode Spectral Method.
Abstract
A numerical method is presented for solving a three-dimensional radiation field by decomposing the radiation field into transverse modes that satisfy the free space wave equation and the boundary conditions. The formalism includes betatron oscillations in a realizable wiggler, finite emittance and energy spread in an amplifier or oscillator configuration. This formalism can be generalized to calculate sidebands resulting from the synchrotron oscillations. The transverse mode spectral method is compared with the finite difference method, spectral method and transform spectral method. Examples from a computer code using Gaussian-Hermite expansion are given. Self-focusing of the radiation beam due to gain and refraction of the Free Electron Laser is shown.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 30, 1985
- Accession Number
- ADA163297
Entities
People
- Cha-Mei Tang
- Philip A. Sprangle
Organizations
- United States Naval Research Laboratory