title: 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.
authors: Argonne National Laboratory, 9700 South Cass Avenue, Argonne, Illinois 60439, USA.
authors: C X
authors: CX
authors: Wang
authors: K J
authors: KJ
authors: Kim