Advanced

Nonlinear Beam Physics

Folsom, Benjamin LU (2019)
Abstract (Swedish)
A condensed treatment of conventional beam physics (both linear and nonlinear) is given for the non-expert; this constitutes a minimum knowhow for constructing simulations of rudimentary beamlines. The criteria for an ideal nonlinear charged-particle simulation algorithm are then presented, leading to the derivation of a symplectic, explicit, Lorentz-covariant integrator.
Space charge (inter-particle interaction) is addressed next, with a first-principles approach based on the Liénard–Wiechert potentials. A cumulative chapter follows, applying the developed simulation methods to multipole magnets (sextupoles, octupoles, and higher-order) which have inherently nonlinear potentials.
A concluding chapter proposes applications for... (More)
A condensed treatment of conventional beam physics (both linear and nonlinear) is given for the non-expert; this constitutes a minimum knowhow for constructing simulations of rudimentary beamlines. The criteria for an ideal nonlinear charged-particle simulation algorithm are then presented, leading to the derivation of a symplectic, explicit, Lorentz-covariant integrator.
Space charge (inter-particle interaction) is addressed next, with a first-principles approach based on the Liénard–Wiechert potentials. A cumulative chapter follows, applying the developed simulation methods to multipole magnets (sextupoles, octupoles, and higher-order) which have inherently nonlinear potentials.
A concluding chapter proposes applications for nonlinear simulation of neutron particle dynamics in terms of magnetic dipole moment steering. (Less)
Abstract
A condensed treatment of conventional beam physics (both linear and nonlinear) is given for the non-expert; this constitutes a minimum knowhow for constructing simulations of rudimentary beamlines. The criteria for an ideal nonlinear charged-particle simulation algorithm are then presented, leading to the derivation of a symplectic, explicit, Lorentz-covariant integrator.
Space charge (inter-particle interaction) is addressed next, with a first-principles approach based on the Liénard–Wiechert potentials. A cumulative chapter follows, applying the developed simulation methods to multipole magnets (sextupoles, octupoles, and higher-order) which have inherently nonlinear potentials.
A concluding chapter proposes applications for... (More)
A condensed treatment of conventional beam physics (both linear and nonlinear) is given for the non-expert; this constitutes a minimum knowhow for constructing simulations of rudimentary beamlines. The criteria for an ideal nonlinear charged-particle simulation algorithm are then presented, leading to the derivation of a symplectic, explicit, Lorentz-covariant integrator.
Space charge (inter-particle interaction) is addressed next, with a first-principles approach based on the Liénard–Wiechert potentials. A cumulative chapter follows, applying the developed simulation methods to multipole magnets (sextupoles, octupoles, and higher-order) which have inherently nonlinear potentials.
A concluding chapter proposes applications for nonlinear simulation of neutron particle dynamics in terms of magnetic dipole moment steering. (Less)
Please use this url to cite or link to this publication:
author
supervisor
opponent
  • Professor Peggs, Stephen G., Brookhaven National Laboratory
organization
publishing date
type
Thesis
publication status
published
subject
keywords
nonlinear dynamics, Beam dynamics, Accelerator Physics, space charge, Accelerator magnets, simulations (multi-particle dynamics
pages
128 pages
publisher
Lund University , Department of physics
defense location
Rydbersalen, Fysiska institutionen, Professorsgatan 1, Lund
defense date
2019-04-26 13:00
ISBN
978-91-7895-012-6
978-91-7895-013-3
language
English
LU publication?
yes
id
662a9c5c-41e1-4be3-96e4-90357d950553
date added to LUP
2019-03-30 17:45:37
date last changed
2019-05-16 13:55:01
@phdthesis{662a9c5c-41e1-4be3-96e4-90357d950553,
  abstract     = {A condensed treatment of conventional beam physics (both linear and nonlinear) is given for the non-expert; this constitutes a minimum knowhow for constructing simulations of rudimentary beamlines. The criteria for an ideal nonlinear charged-particle simulation algorithm are then presented, leading to the derivation of a symplectic, explicit, Lorentz-covariant integrator.<br/>Space charge (inter-particle interaction) is addressed next, with a first-principles approach based on the Liénard–Wiechert  potentials. A cumulative chapter follows, applying the developed simulation methods to multipole magnets (sextupoles, octupoles, and higher-order) which have inherently nonlinear potentials.<br/>A concluding chapter proposes applications for nonlinear simulation of neutron particle dynamics in terms of magnetic dipole moment steering.},
  author       = {Folsom, Benjamin},
  isbn         = {978-91-7895-012-6},
  keyword      = {nonlinear dynamics,Beam dynamics,Accelerator Physics,space charge,Accelerator magnets,simulations (multi-particle dynamics},
  language     = {eng},
  month        = {03},
  pages        = {128},
  publisher    = {Lund University , Department of physics},
  school       = {Lund University},
  title        = {Nonlinear Beam Physics},
  year         = {2019},
}