Electron motion in solenoidal magnetic fields using a first order symplectic integration algorithm

Conference · Mon May 07 00:00:00 EDT 1984

OSTI ID:6854134

Fraser, J S

The use of nonsymplectic procedures in particle tracing codes for relativistic electrons leads to errors that can be reduced only at the expense of using very small integration steps. More accurate results are obtained with symplectic transformations for position and momentum. A first-order symplectic integration procedure requires an iterative calculation of the new position coordinates using the old momenta, but the process usually converges in three or four steps. A first-order symplectic algorithm has been coded for cylindrical as well as Cartesian coordinates using the relativistic equations of motion with Hamiltonian variables. The procedure is applied to the steering of a beam of 80-keV electrons by a weak transverse magnetic field superposed on a strong magnetic field in the axial direction. The steering motion is shown to be parallel to the transverse field rather than perpendicular as would be the case without the strong axial field.

• Research Organization: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6854134
• Report Number(s): LA-UR-84-1307; CONF-840529-20; ON: DE84011341
• Resource Relation: Conference: Linear accelerator conference, Darmstadt-Seeheim, F.R. Germany, 7 May 1984; Other Information: Portions are illegible in microfiche products
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
ELECTRON BEAMS
BEAM TRANSPORT
BEAM DYNAMICS
BEAM FOCUSING MAGNETS
ITERATIVE METHODS
RELATIVISTIC RANGE
SIMULATION
SOLENOIDS
TRAJECTORIES
BEAMS
ELECTRIC COILS
ELECTRICAL EQUIPMENT
ELECTROMAGNETS
ENERGY RANGE
EQUIPMENT
LEPTON BEAMS
MAGNETS
PARTICLE BEAMS
430200* - Particle Accelerators- Beam Dynamics
Field Calculations
& Ion Optics