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101 0 $aeng
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200 10$aMinimization Problems for the Witness Beam in Relativistic Plasma Cavities /$fby Melinda Hagedorn
205   $a1st ed. 2024.
210  1$aWiesbaden :$cSpringer Fachmedien Wiesbaden :$cImprint: Springer Spektrum,$d2024.
215   $a1 online resource (81 pages)
225 1 $aBestMasters,$x2625-3615
311 08$aPrint version: Hagedorn, Melinda Minimization Problems for the Witness Beam in Relativistic Plasma Cavities Wiesbaden : Springer Fachmedien Wiesbaden GmbH,c2024 9783658462253 
327   $aIntroduction -- Preparation -- Wakefield acceleration -- Discussion of some Optimization Algorithms -- Numerical Simulations -- Conclusion and Outlook.
330   $aThis thesis deals with an optimization problem from the field of theoretical plasma physics. Specifically, it deals with the question of how the accelerated electrons are spatially arranged in a plasma wave generated by a laser pulse. An internal structure of this so-called witness beam is of interest for the radiation characteristics of such electron beams, in particular with regard to the coherence of the generated radiation. The resulting internal structure of the electron beam is a result of the interaction of the electrons with each other and the electric fields of the wakefield, therefore it is determined by solving a minimization problem. The thesis builds on previous results in this field and aims to find suggestions for improved algorithms to determine the minimum sought. About the Author Melinda Hagedorn is a PhD student in Mathematical Optimization, research associate and teaching assistant at Heinrich Heine University in Düsseldorf. She holds master's degrees in mathematics and physics. In her research, she focuses in particular on variants of the stochastic gradient method applied to convex optimization problems.
410  0$aBestMasters,$x2625-3615
606   $aParticle accelerators
606   $aPlasma (Ionized gases)
606   $aPlasma accelerators
606   $aMathematical optimization
606   $aAccelerator Physics
606   $aPlasma Physics
606   $aPlasma-based Accelerators
606   $aOptimization
615  0$aParticle accelerators.
615  0$aPlasma (Ionized gases)
615  0$aPlasma accelerators.
615  0$aMathematical optimization.
615 14$aAccelerator Physics.
615 24$aPlasma Physics.
615 24$aPlasma-based Accelerators.
615 24$aOptimization.
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700   $aHagedorn$b Melinda$01775940
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