Hamiltonian analysis of transverse dynamics in axisymmetric rf photoinjectors.

Conference · Sun Jan 01 00:00:00 EST 2006

OSTI ID:972570

Wang, C -x

A general Hamiltonian that governs the beam dynamics in an rf photoinjector is derived from first principles. With proper choice of coordinates, the resulting Hamiltonian has a simple and familiar form, while taking into account the rapid acceleration, rf focusing, magnetic focusing, and space-charge forces. From the linear Hamiltonian, beam-envelope evolution is readily obtained, which better illuminates the theory of emittance compensation. Preliminary results on the third-order nonlinear Hamiltonian will be given as well.

• Research Organization: Argonne National Lab. (ANL), Argonne, IL (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: DE-AC02-06CH11357
• OSTI ID: 972570
• Report Number(s): ANL/ASD/CP-116174; TRN: US1001617
• Resource Relation: Conference: Particle Accelerator Conference (PAC05); May 16, 2005 - May 20, 2005; Knoxville, TN
• Country of Publication: United States
• Language: ENGLISH

Related Subjects

43 PARTICLE ACCELERATORS
ACCELERATION
ACCELERATORS
BEAM DYNAMICS
FOCUSING
HAMILTONIANS
SPACE CHARGE