dorsal/arxiv
View SchemaSymplectic tracking using point magnets and a reference orbit made of circular arcs and straight lines
| Authors | G. Parzen |
|---|---|
| Categories | |
| ArXiv ID | physics/9811020 |
| URL | https://arxiv.org/abs/physics/9811020 |
| DOI | 10.1103/PhysRevE.51.2485 |
| Journal | Phys.Rev. E51 (1995) 2485-2492 |
Abstract
Symplectic tracking of beam particles using point magnets is achieved using a reference orbit made of circular arcs and straight lines that join smoothly with each other. For this choice of the reference orbit, results are given for the transfer functions, transfer matrices, and the transit times of the magnets and drift spaces. These results provide a symplectic integrator, and allow the linear orbit parameters to be computed by multiplying transfer matrices. It is shown that this integrator is a second-order integrator, and that the transfer functions can be derived from a hamiltonian.
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"abstract": "Symplectic tracking of beam particles using point magnets is achieved using a\nreference orbit made of circular arcs and straight lines that join smoothly\nwith each other. For this choice of the reference orbit, results are given for\nthe transfer functions, transfer matrices, and the transit times of the magnets\nand drift spaces. These results provide a symplectic integrator, and allow the\nlinear orbit parameters to be computed by multiplying transfer matrices. It is\nshown that this integrator is a second-order integrator, and that the transfer\nfunctions can be derived from a hamiltonian.",
"arxiv_id": "physics/9811020",
"authors": [
"G. Parzen"
],
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"physics.acc-ph"
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"doi": "10.1103/PhysRevE.51.2485",
"journal_ref": "Phys.Rev. E51 (1995) 2485-2492",
"title": "Symplectic tracking using point magnets and a reference orbit made of circular arcs and straight lines",
"url": "https://arxiv.org/abs/physics/9811020"
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