Nonlinear Beam Physics

Benjamin Folsom

Nonlinear Beam Physics

Benjamin Folsom

Particle and nuclear physics

European Spallation Source ERIC, Sweden

Research output: Thesis › Doctoral Thesis (monograph)

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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 nonlinear simulation of neutron particle dynamics in terms of magnetic dipole moment steering.

Original language	English
Qualification	Doctor
Supervisors/Advisors	Laface, Emanuele, Supervisor Lindroos, Mats, Supervisor Åkesson, Torsten, Supervisor
Award date	2019 Apr 26
Place of Publication	Lund
Publisher	Lund University , Department of physics
ISBN (Print)	978-91-7895-012-6
ISBN (electronic)	978-91-7895-013-3
Publication status	Published - 2019 Mar 30

Bibliographical note

Defence details
Date: 2019-04-26
Time: 13:00
Place: Rydbersalen, Fysiska institutionen, Professorsgatan 1, Lund
External reviewer(s)
Name: Peggs, Stephen G.
Title: Professor
Affiliation: Brookhaven National Laboratory
---

Subject classification (UKÄ)

Accelerator Physics and Instrumentation
Other Physics Topics

Free keywords

nonlinear dynamics
Beam dynamics
Accelerator Physics
space charge
Accelerator magnets
simulations (multi-particle dynamics

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Nonlinear Beam PhysicsFinal published version, 48.8 MBLicence: CC BY
folsom_thesisOther version, 25 MBLicence: CC BY-ND

Cite this

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title = "Nonlinear Beam Physics",

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 Li{\'e}nard–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.",

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AU - Folsom, Benjamin

N1 - Defence details Date: 2019-04-26 Time: 13:00 Place: Rydbersalen, Fysiska institutionen, Professorsgatan 1, Lund External reviewer(s) Name: Peggs, Stephen G. Title: Professor Affiliation: Brookhaven National Laboratory ---

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N2 - 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.

AB - 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.

KW - nonlinear dynamics

KW - Beam dynamics

KW - Accelerator Physics

KW - space charge

KW - Accelerator magnets

KW - simulations (multi-particle dynamics

M3 - Doctoral Thesis (monograph)

SN - 978-91-7895-012-6

PB - Lund University , Department of physics

CY - Lund

ER -

Nonlinear Beam Physics

Abstract

Bibliographical note

Subject classification (UKÄ)

Free keywords

Access to Document

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Cite this