Nonlinear Beam Physics
(2019) Abstract (Swedish)
 A condensed treatment of conventional beam physics (both linear and nonlinear) is given for the nonexpert; this constitutes a minimum knowhow for constructing simulations of rudimentary beamlines. The criteria for an ideal nonlinear chargedparticle simulation algorithm are then presented, leading to the derivation of a symplectic, explicit, Lorentzcovariant integrator.
Space charge (interparticle interaction) is addressed next, with a firstprinciples approach based on the Liénard–Wiechert potentials. A cumulative chapter follows, applying the developed simulation methods to multipole magnets (sextupoles, octupoles, and higherorder) 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 nonexpert; this constitutes a minimum knowhow for constructing simulations of rudimentary beamlines. The criteria for an ideal nonlinear chargedparticle simulation algorithm are then presented, leading to the derivation of a symplectic, explicit, Lorentzcovariant integrator.
Space charge (interparticle interaction) is addressed next, with a firstprinciples approach based on the Liénard–Wiechert potentials. A cumulative chapter follows, applying the developed simulation methods to multipole magnets (sextupoles, octupoles, and higherorder) 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 nonexpert; this constitutes a minimum knowhow for constructing simulations of rudimentary beamlines. The criteria for an ideal nonlinear chargedparticle simulation algorithm are then presented, leading to the derivation of a symplectic, explicit, Lorentzcovariant integrator.
Space charge (interparticle interaction) is addressed next, with a firstprinciples approach based on the Liénard–Wiechert potentials. A cumulative chapter follows, applying the developed simulation methods to multipole magnets (sextupoles, octupoles, and higherorder) 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 nonexpert; this constitutes a minimum knowhow for constructing simulations of rudimentary beamlines. The criteria for an ideal nonlinear chargedparticle simulation algorithm are then presented, leading to the derivation of a symplectic, explicit, Lorentzcovariant integrator.
Space charge (interparticle interaction) is addressed next, with a firstprinciples approach based on the Liénard–Wiechert potentials. A cumulative chapter follows, applying the developed simulation methods to multipole magnets (sextupoles, octupoles, and higherorder) 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:
http://lup.lub.lu.se/record/662a9c5c41e14be396e490357d950553
 author
 Folsom, Benjamin ^{LU}
 supervisor

 Emanuele Laface ^{LU}
 Mats Lindroos ^{LU}
 Torsten Åkesson ^{LU}
 opponent

 Professor Peggs, Stephen G., Brookhaven National Laboratory
 organization
 publishing date
 20190330
 type
 Thesis
 publication status
 published
 subject
 keywords
 nonlinear dynamics, Beam dynamics, Accelerator Physics, space charge, Accelerator magnets, simulations (multiparticle dynamics
 pages
 128 pages
 publisher
 Lund University , Department of physics
 defense location
 Rydbersalen, Fysiska institutionen, Professorsgatan 1, Lund
 defense date
 20190426 13:00
 ISBN
 9789178950126
 9789178950133
 language
 English
 LU publication?
 yes
 id
 662a9c5c41e14be396e490357d950553
 date added to LUP
 20190330 17:45:37
 date last changed
 20190516 13:55:01
@phdthesis{662a9c5c41e14be396e490357d950553, abstract = {A condensed treatment of conventional beam physics (both linear and nonlinear) is given for the nonexpert; this constitutes a minimum knowhow for constructing simulations of rudimentary beamlines. The criteria for an ideal nonlinear chargedparticle simulation algorithm are then presented, leading to the derivation of a symplectic, explicit, Lorentzcovariant integrator.<br/>Space charge (interparticle interaction) is addressed next, with a firstprinciples approach based on the Liénard–Wiechert potentials. A cumulative chapter follows, applying the developed simulation methods to multipole magnets (sextupoles, octupoles, and higherorder) 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 = {9789178950126}, keyword = {nonlinear dynamics,Beam dynamics,Accelerator Physics,space charge,Accelerator magnets,simulations (multiparticle dynamics}, language = {eng}, month = {03}, pages = {128}, publisher = {Lund University , Department of physics}, school = {Lund University}, title = {Nonlinear Beam Physics}, year = {2019}, }