Nonlinear integrable ion traps

Journal Article · Sat Oct 01 04:00:00 EDT 2011 · Submitted to Phys.Rev.Lett.

OSTI ID:1034127

Nagaitsev, S; Danilov, V

Quadrupole ion traps can be transformed into nonlinear traps with integrable motion by adding special electrostatic potentials. This can be done with both stationary potentials (electrostatic plus a uniform magnetic field) and with time-dependent electric potentials. These potentials are chosen such that the single particle Hamilton-Jacobi equations of motion are separable in some coordinate systems. The electrostatic potentials have several free adjustable parameters allowing for a quadrupole trap to be transformed into, for example, a double-well or a toroidal-well system. The particle motion remains regular, non-chaotic, integrable in quadratures, and stable for a wide range of parameters. We present two examples of how to realize such a system in case of a time-independent (the Penning trap) as well as a time-dependent (the Paul trap) configuration.

• Research Organization: Fermi National Accelerator Laboratory (FNAL), Batavia, IL
• Sponsoring Organization: DOE Office of Science
• DOE Contract Number: AC02-07CH11359
• OSTI ID: 1034127
• Report Number(s): FERMILAB-PUB-11-568-AD
• Journal Information: Submitted to Phys.Rev.Lett., Journal Name: Submitted to Phys.Rev.Lett.
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
Accelerators
CONFIGURATION
ELECTRIC POTENTIAL
ELECTROSTATICS
HAMILTON-JACOBI EQUATIONS
MAGNETIC FIELDS
QUADRATURES
QUADRUPOLES