In this paper it is shown that the calculation of linearly polarized undulator brightness can be worked out exactly using elliptic functions and multivariable generalized Bessel functions. The obtained results are shown to be valid both in nonrelativistic and ultrarelativistic regimes. The physical relevance of the obtained results are discussed and the "low-energy" corrections to the resonance condition are derived. © 1992 American Institute of Physics.
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
Dattoli, G., Giannessi, L., Mari, C., Richetta, M., & Torre, A. (1992). Linear undulator brightness: Exact analytical treatment. Journal of Mathematical Physics, 33(3), 1200 - 1207. https://doi.org/10.1063/1.529731