| Paper |
Title |
Page |
| MOPLT023 |
Electron Model of an FFAG Muon Accelerator
|
587 |
| |
- E. Keil
CERN, Geneva
- J.S. Berg
BNL, Upton, Long Island, New York
- A. Sessler
LBNL, Berkeley, California
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Parameters are derived for the lattice and RF system of electron models of a non-scaling FFAG ring for accelerating muons. The models accelerate electrons from about 10 to about 20 MeV, and have circumferences between 10 and 17 m. Magnet types and dimensions, spacings, half apertures, about 12~mm by 20~mm,and number of cells are presented. The magnetic components are compared to existing magnets. The tune variation with momentum covers several integers, similar to that in a full machine, and allows the study of resonance crossing. The consequences of misaligned magnets are studied by simulation. The lattices are designed such that transition is at about 15 MeV. The variation of orbit length with momentum is less than 36~mm, and allows the study of acceleration outside a bucket. A 100~mm straight section, in each of the cells, is adequately long for an RF cavity operating at 3 GHz. Hamiltonian dynamics in longitudinal phase space close to transition is used to calculate the accelerating voltage needed. Acceleration is studied by simulation. Practical RF system design issues, e.g. RF power, and beam loading are estimated.
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| MOPLT158 |
Cost Optimization of Non-Scaling FFAG Lattices for Muon Acceleration
|
902 |
| |
- J.S. Berg, R. Palmer
BNL, Upton, Long Island, New York
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Fixed Field Alternating Gradient (FFAG) accelerators are a promising idea for reducing the cost of acceleration for muon accelerators as well as other machines. This paper presents an automated method for designing these machines to certain specifications, and uses that method to find a minimum cost design. The dependence of this minimum cost on various input parameters to the system is given. The impact of the result on an FFAG design for muon acceleration is discussed.
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| WEPKF086 |
A Model for Determining Dipole, Quadrupole and Combined Function Magnet Costs
|
1807 |
| |
- R. Palmer, J.S. Berg
BNL, Upton, Long Island, New York
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One of the most important considerations in designing large accelerators is cost. Magnet costs are a significant component of that. This paper describes a model for estimating magnet costs. The reasoning behind the cost model is explained, and the parameters of the model are chosen so as to correctly give the costs for existing magnets.
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| WEPLT174 |
Higher Order Hard Edge End Field Effects
|
2233 |
| |
- J.S. Berg
BNL, Upton, Long Island, New York
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In most cases, nonlinearities from magnets must be properly included in tracking and analysis to properly compute quantities of interest, in particular chromatic properties and dynamic aperture. One source of nonlinearities in magnets that is often important and cannot be avoided is the nonlinearity arising at the end of a magnet due to the longitudinal variation of the field at the end of the magnet. Part of this effect is independent of the shape of the end. It is lowest order in the body field of the magnet, and is the result of taking a limit as the length over which the field at the end varies approaches zero. This is referred to as a hard edge" end field. This effect has been computed previously to lowest order in the transverse variables. This paper describes a method to compute this effect to arbitrary order in the transverse variables, under certain constraints. The results of using this hard edge model are compared with performing the computation with finite-length end fields, as well as to the lowest-order hard-edge end field model.
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| THPLT170 |
Finding the Circular Magnet Aperture which Encloses an Arbitrary Number of Midplane-centered Beam Ellipses
|
2855 |
| |
- J.S. Berg
BNL, Upton, Long Island, New York
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In specifying the magnets for an accelerator, one must be able to determine the aperture required by the beam. In some machines, in particular FFAGs, there is a significant variation in the closed orbit and beta functions over the energy range of the machine. In addition, the closed orbit and beta functions may vary with the longitudinal position in the magnet. It is necessary to determine a magnet aperture which encloses the beam ellipses at all energies and all positions in the magnet. This paper describes a method of determining the smallest circular aperture enclosing an arbitrary number of midplane-centered ellipses.
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