The theory of charged beam propagation in magnetic structures, including the transverse motion coupling, is developed using a formalism close to the original Courant-Snyder formulation of uncoupled beam transport. We introduce three 2×2 matrices (β̂, α̂ and γ̂) which are the generalizations of the usual Twiss parameters and study their properties. The physical meaning of the above matrices is discussed and their role, in specifying e.g. the spatial beam distribution, elucidated. The usefulness of such a point of view is discussed within the context of a specific example. © 1992.
|Pages (from-to)||447 - 452|
|Number of pages||6|
|Journal||Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment|
|Publication status||Published - 1 Oct 1992|
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
Dattoli, G., Mari, C., Mezi, L., & Torre, A. (1992). A new derivation of the generalized Courant-Snyder theory with coupling. Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 321(3), 447 - 452. https://doi.org/10.1016/0168-9002(92)90053-7