03391nam 22006255 450 991090838150332120241116115611.09783658462260(electronic bk.)978365846225310.1007/978-3-658-46226-0(MiAaPQ)EBC31784937(Au-PeEL)EBL31784937(CKB)36590103500041(DE-He213)978-3-658-46226-0(OCoLC)1472149405(EXLCZ)993659010350004120241116d2024 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierMinimization Problems for the Witness Beam in Relativistic Plasma Cavities /by Melinda Hagedorn1st ed. 2024.Wiesbaden :Springer Fachmedien Wiesbaden :Imprint: Springer Spektrum,2024.1 online resource (81 pages)BestMasters,2625-3615Print version: Hagedorn, Melinda Minimization Problems for the Witness Beam in Relativistic Plasma Cavities Wiesbaden : Springer Fachmedien Wiesbaden GmbH,c2024 9783658462253 Introduction -- Preparation -- Wakefield acceleration -- Discussion of some Optimization Algorithms -- Numerical Simulations -- Conclusion and Outlook.This thesis deals with an optimization problem from the field of theoretical plasma physics. Specifically, it deals with the question of how the accelerated electrons are spatially arranged in a plasma wave generated by a laser pulse. An internal structure of this so-called witness beam is of interest for the radiation characteristics of such electron beams, in particular with regard to the coherence of the generated radiation. The resulting internal structure of the electron beam is a result of the interaction of the electrons with each other and the electric fields of the wakefield, therefore it is determined by solving a minimization problem. The thesis builds on previous results in this field and aims to find suggestions for improved algorithms to determine the minimum sought. About the Author Melinda Hagedorn is a PhD student in Mathematical Optimization, research associate and teaching assistant at Heinrich Heine University in Düsseldorf. She holds master's degrees in mathematics and physics. In her research, she focuses in particular on variants of the stochastic gradient method applied to convex optimization problems.BestMasters,2625-3615Particle acceleratorsPlasma (Ionized gases)Plasma acceleratorsMathematical optimizationAccelerator PhysicsPlasma PhysicsPlasma-based AcceleratorsOptimizationParticle accelerators.Plasma (Ionized gases)Plasma accelerators.Mathematical optimization.Accelerator Physics.Plasma Physics.Plasma-based Accelerators.Optimization.539.73Hagedorn Melinda1775940MiAaPQMiAaPQMiAaPQ9910908381503321Minimization Problems for the Witness Beam in Relativistic Plasma Cavities4291112UNINA