Invariant metrics for Hamiltonian systems

Conference · Wed May 01 00:00:00 EDT 1991

OSTI ID:5550507

Rangarajan, G ^[1]; Dragt, A J ^[2]; Neri, F ^[3]

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1. Lawrence Berkeley Lab., CA (USA)
2. Maryland Univ., College Park, MD (USA)
3. Los Alamos National Lab., NM (USA)

In this paper, invariant metrics are constructed for Hamiltonian systems. These metrics give rise to norms on the space of homeogeneous polynomials of phase-space variables. For an accelerator lattice described by a Hamiltonian, these norms characterize the nonlinear content of the lattice. Therefore, the performance of the lattice can be improved by minimizing the norm as a function of parameters describing the beam-line elements in the lattice. A four-fold increase in the dynamic aperture of a model FODO cell is obtained using this procedure. 7 refs.

• Research Organization: Lawrence Berkeley Lab., CA (USA)
• Sponsoring Organization: USDOE; USDOE, Washington, DC (USA)
• DOE Contract Number: AC03-76SF00098
• OSTI ID: 5550507
• Report Number(s): LBL-30705; CONF-910505-295; ON: DE91014236
• Resource Relation: Conference: 1991 Institute of Electrical and Electronics Engineers (IEEE) particle accelerator conference (PAC), San Francisco, CA (USA), 6-9 May 1991
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
BEAM DYNAMICS
HAMILTONIANS
METRICS
ACCELERATORS
BEAM OPTICS
PHASE SPACE
POLYNOMIALS
FUNCTIONS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
QUANTUM OPERATORS
SPACE
430200* - Particle Accelerators- Beam Dynamics
Field Calculations
& Ion Optics