| Paper | Title | Other Keywords | Page | ||
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| MPPE016 | Hamiltonian Analysis of Transverse Dynamics in Axisymmetric RF Photoinjector | focusing, emittance, space-charge, acceleration | 1476 | ||
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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.
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| TPAT019 | Discussions on the Cancellation Effect on a Curved Orbit | emittance, simulation, space-charge, storage-ring | 1631 | ||
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Funding: Work supported by DOE Contract DE-AC05-84ER40150. |
The canonical formulation and the cancellation effect for bunch dynamics under collective interaction on a curved orbit were presented in Ref. [*]. Some possible controversial representations of the cancellation effect were later addressed by Geloni et al.** In this study, we discuss all the points raised in Ref. [**] based on our canonical treatment, and show how these points can be perceived from the view point of the cancellation picture. *R. Li and Ya. S. Derbenev, Jefferson Laboratory Report No. LJAB-TN-02-054, 2003. **G. Geloni et al., DESY Report No. DESY 03-165, 2003. |
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