LIE algebraic treatment of linear and nonlinear beam dynamics

Journal Article · Thu Dec 31 23:00:00 EST 1987 · Annu. Rev. Nucl. Sci.; (United States)

DOI:https://doi.org/10.1146/annurev.ns.38.120188.002323· OSTI ID:6591695

Dragt, A J; Neri, F; Rangarajan, G; Douglas, D R; Healy, L M; Ryne, R D

The purpose of this paper is to present a summary of new methods employing Lie algebraic tools for characterizing beam dynamics in charged- particle optical systems. These methods are applicable to accelerator design, charged-particle beam transport, electron microscopes, and also light optics. The new methods represent the action of each separate element of a compound optical system, including all departures from paraxial optics by a certain operator. The operators can then be concatenated following well defined rules to obtain a resultant operator that characterizes the entire system. (AIP)

• Research Organization: Center for Theoretical Physics, University of Maryland, College Park, Maryland 20742
• OSTI ID: 6591695
• Journal Information: Annu. Rev. Nucl. Sci.; (United States), Journal Name: Annu. Rev. Nucl. Sci.; (United States) Vol. 38:1; ISSN ARNUA
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
430200* -- Particle Accelerators-- Beam Dynamics
Field Calculations
& Ion Optics
ACCELERATORS
ALGEBRA
BEAM BENDING MAGNETS
BEAM DYNAMICS
BEAM FOCUSING MAGNETS
BEAM TRANSPORT
BETATRON OSCILLATIONS
CHARGED-PARTICLE TRANSPORT
DESIGN
DRIFT TUBES
ELECTRICAL EQUIPMENT
ELECTROMAGNETS
EQUIPMENT
LIE GROUPS
MAGNETS
MATHEMATICAL MODELS
MATHEMATICS
NONLINEAR PROBLEMS
OSCILLATIONS
RADIATION TRANSPORT
SPACE CHARGE
SYMMETRY GROUPS