Abstract
The betatron part of the equations of motion of an electron beam, propagating in a linearly polarized undulator, can be derived from a quartic anharmonic oscillator Hamiltonian coupling the vertical and radial components. It`s solved the relevant Liouville equation, providing the evolution of the e-beam phase-space distribution, and the variation, during the transport, of quantities of physical interest. In particular radial and vertical phase-space contour plots which exhibit distortions, due to non linear effects, and consequent emittance growth are discussed. The integration method employed is based on a symmetric split under study. Previous results from a macroparticle simulation are used as bench-mark. Finally is shown that the split operator technique naturally leads to area preserving maps.
Dattoli, G;
[1]
Ottaviani, P L
[2]
- ENEA, Frascati (Italy). Centro Ricerche Energia - Area Energia e Innovazione
- ENEA, Bologna (Italy)
Citation Formats
Dattoli, G, and Ottaviani, P L.
Electron beam propagation in linearly polarized undulators: Effect of anharmonicity on spatial and phase-space distributions.
Italy: N. p.,
1994.
Web.
Dattoli, G, & Ottaviani, P L.
Electron beam propagation in linearly polarized undulators: Effect of anharmonicity on spatial and phase-space distributions.
Italy.
Dattoli, G, and Ottaviani, P L.
1994.
"Electron beam propagation in linearly polarized undulators: Effect of anharmonicity on spatial and phase-space distributions."
Italy.
@misc{etde_10123724,
title = {Electron beam propagation in linearly polarized undulators: Effect of anharmonicity on spatial and phase-space distributions}
author = {Dattoli, G, and Ottaviani, P L}
abstractNote = {The betatron part of the equations of motion of an electron beam, propagating in a linearly polarized undulator, can be derived from a quartic anharmonic oscillator Hamiltonian coupling the vertical and radial components. It`s solved the relevant Liouville equation, providing the evolution of the e-beam phase-space distribution, and the variation, during the transport, of quantities of physical interest. In particular radial and vertical phase-space contour plots which exhibit distortions, due to non linear effects, and consequent emittance growth are discussed. The integration method employed is based on a symmetric split under study. Previous results from a macroparticle simulation are used as bench-mark. Finally is shown that the split operator technique naturally leads to area preserving maps.}
place = {Italy}
year = {1994}
month = {Mar}
}
title = {Electron beam propagation in linearly polarized undulators: Effect of anharmonicity on spatial and phase-space distributions}
author = {Dattoli, G, and Ottaviani, P L}
abstractNote = {The betatron part of the equations of motion of an electron beam, propagating in a linearly polarized undulator, can be derived from a quartic anharmonic oscillator Hamiltonian coupling the vertical and radial components. It`s solved the relevant Liouville equation, providing the evolution of the e-beam phase-space distribution, and the variation, during the transport, of quantities of physical interest. In particular radial and vertical phase-space contour plots which exhibit distortions, due to non linear effects, and consequent emittance growth are discussed. The integration method employed is based on a symmetric split under study. Previous results from a macroparticle simulation are used as bench-mark. Finally is shown that the split operator technique naturally leads to area preserving maps.}
place = {Italy}
year = {1994}
month = {Mar}
}