Analytical and experimental analysis of the undulator radiation at finite distance as a function of the ebeam parameters
Abstract
The radiation emitted by the linear undulator installed on a straight section of the ADONE storage ring is studied both experimentally and theoretically. In particular, expressions are provided for the field at finite distance, based on the complex Fresnel integral. In addition, several expressions are derived for the average intensity pattern as a function of the electron beam divergence and energy spread. These formulae are used for analyzing the spectral and angular patterns of the radiation measured from a distance of 20 m from the undulator origin. The excellent quality of the undulator and the negligible influence on the pattern of the electron beam divergence are confirmed by the satisfactory agreement of the measured radiation field with the computergenerated one.
 Publication:

Nuovo Cimento B Serie
 Pub Date:
 May 1984
 DOI:
 10.1007/BF02721640
 Bibcode:
 1984NCimB..81...67C
 Keywords:

 Electron Optics;
 Free Electron Lasers;
 Laser Outputs;
 Near Fields;
 Relativistic Electron Beams;
 Storage Rings (Particle Accelerators);
 Wiggler Magnets;
 Angular Distribution;
 Electron Energy;
 Electron Trajectories;
 Fresnel Integrals;
 Harmonic Generators;
 Radiation Measurement;
 Spontaneous Emission;
 Lasers and Masers