Recursive solution for beam dynamics of periodic focusing channels
Abstract
We present recursive analysis for beam dynamics of periodic focusing channels based on the Fourier coefficients of the focusing function. Formulas for orbit stability and the envelope function are derived. The results should be useful for numerical calculation and for developing analytical understanding of channels employing extended focusing elements. Applications to muon ionization cooling channels are discussed.
- Publication:
-
Physical Review E
- Pub Date:
- May 2001
- DOI:
- 10.1103/PhysRevE.63.056502
- Bibcode:
- 2001PhRvE..63e6502W
- Keywords:
-
- 41.85.Ja;
- 29.27.Bd;
- 41.75.-i;
- Beam transport;
- Beam dynamics;
- collective effects and instabilities;
- Charged-particle beams