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Wang, C.-X.

Paper Title Page
MPPE016 Hamiltonian Analysis of Transverse Dynamics in Axisymmetric RF Photoinjector 1476
 
  • C.-X. Wang
    ANL, Argonne, Illinois
 
  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.