dorsal/arxiv
View SchemaEfficient computation of matched solutions of the Kapchinskij-Vladimirskij envelope equations for periodic focusing lattices
| Authors | Steven M. Lund, Sven H. Chilton, Edward P. Lee |
|---|---|
| Categories | |
| ArXiv ID | physics/0602150 |
| URL | https://arxiv.org/abs/physics/0602150 |
| DOI | 10.1103/PhysRevSTAB.9.064201 |
Abstract
A new iterative method is developed to numerically calculate the periodic, matched beam envelope solution of the coupled Kapchinskij-Vladimirskij (KV) equations describing the transverse evolution of a beam in a periodic, linear focusing lattice of arbitrary complexity. Implementation of the method is straightforward. It is highly convergent and can be applied to all usual parameterizations of the matched envelope solutions. The method is applicable to all classes of linear focusing lattices without skew couplings, and also applies to all physically achievable system parameters -- including where the matched beam envelope is strongly unstable. Example applications are presented for periodic solenoidal and quadrupole focusing lattices. Convergence properties are summarized over a wide range of system parameters.
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"abstract": "A new iterative method is developed to numerically calculate the periodic,\nmatched beam envelope solution of the coupled Kapchinskij-Vladimirskij (KV)\nequations describing the transverse evolution of a beam in a periodic, linear\nfocusing lattice of arbitrary complexity. Implementation of the method is\nstraightforward. It is highly convergent and can be applied to all usual\nparameterizations of the matched envelope solutions. The method is applicable\nto all classes of linear focusing lattices without skew couplings, and also\napplies to all physically achievable system parameters -- including where the\nmatched beam envelope is strongly unstable. Example applications are presented\nfor periodic solenoidal and quadrupole focusing lattices. Convergence\nproperties are summarized over a wide range of system parameters.",
"arxiv_id": "physics/0602150",
"authors": [
"Steven M. Lund",
"Sven H. Chilton",
"Edward P. Lee"
],
"categories": [
"physics.acc-ph",
"physics.comp-ph"
],
"doi": "10.1103/PhysRevSTAB.9.064201",
"title": "Efficient computation of matched solutions of the Kapchinskij-Vladimirskij envelope equations for periodic focusing lattices",
"url": "https://arxiv.org/abs/physics/0602150"
},
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