Symplectic tracking using point magnets and a reference orbit made of circular arcs and straight lines

Details Symplectic tracking using point magnets and a reference orbit made of circular arcs and straight lines Symplectic tracking using point magnets and a reference orbit made of circular arcs and straight lines

1998-11-12

arxiv.org/abs/physics/9811020v1

Phys.Rev. E51 (1995) 2485-2492

Physics

Accelerator Physics

16 pages, PDF file

Scientific paper

10.1103/PhysRevE.51.2485

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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