ISSN:
1089-7550
Source:
AIP Digital Archive
Topics:
Physics
Notes:
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. The relevant Liouville equation is solved, providing the evolution of the e-beam phase-space distribution, and analyze the variation, during the transport of quantities of physical interest. In particular, radial and vertical phase-space contour plots which exhibit distortions, due to nonlinear effects, and consequent emittance growth are discussed. The integration method employed is based on a symmetric split technique of the evolution operator associated to the Liouville equation under study. Previous results from a macroparticle simulation are used as benchmark. Finally, the split operator technique naturally leads to area preserving maps. © 1995 American Institute of Physics.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.360309
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