Onset of resonances by roots overlapping using quasi-invariants in nonlinear accelerator dynamics
Por:
Andres Sanchez, Edgar, Flores, Alain, Hernandez-Cobos, Jorge, Moreno, Matias, Antillon, Armando
Publicada:
1 oct 2022
Resumen:
The aim of this paper is to propose a quasi-invariant technique suitable
for describing the transverse dynamics of electrons in a synchrotron and
to exhibit that the methodology allows the emergence of resonances in
phase space. The proposed technique is implemented by using symbolic
computation software, which provides sets of coupled differential
equations for functions participating in the nonlinear dynamics,
numerically solved with periodic boundary conditions. This approach
allows the construction of an approximate invariant in a vicinity of the
phase space origin. That portion of phase space is used for holding a
stable beam of charge particles in synchrotrons. The submitted approach
capability for describing the phase space is tested by comparing
numerical results obtained with this technique against tracking
simulations performed with available software. Finally, the possibility
of applying this technique to control resonances in the optimization of
the fourth-generation synchrotron light sources magnetic lattices is
discussed.
Filiaciones:
Univ Nacl Autonoma Mexico, Fac Ciencias, Cd De Mexico 04510, Mexico
Tecnol Monterrey, Dept Bioingn & Ciencias, Puebla 72453, Mexico
Univ Nacl Autonoma Mexico, Inst Ciencias Fis, Av Univ 1001, Cuernavaca 62210, Morelos, Mexico
Univ Nacl Autonoma Mexico, Inst Fis, Cd De Mexico 04510, Mexico
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