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To suit a wide variety of space mission profiles, different designs of ion thrusters were developed, such as the High‐Efficiency‐Multistage‐Plasma thrusters (HEMP‐T). In the past, the optimization of ion thrusters was a difficult and time‐consuming process and evolved experimentally. Because the construction of new designs is expensive, cheaper methods for optimization were sought‐after. Computer‐based simulations are a cheap and useful method towards predictive modelling. The physics in HEMP‐T requires a kinetic model. The Particle‐in‐Cell (PIC) method delivers self‐consistent solutions for the plasmas of ion thrusters, but it is limited by the high amount of computing time required to study a specific system. Therefore, it is not suited to explore a wide operational and design space. An approach to decrease computing time is self‐similarity scaling schemes, which can be derived from the kinetic equations. One specific self‐similarity scheme is investigated quantitatively in this work for selected HEMP‐Ts, using PIC simulations. The possible application of the scaling is explained and the limits of this approach are derived.
Modern space missions depend more and more on electric propulsion devices for in-space
flights. The superior efficiency by ionizing the feedgas and propelling them using electric
fields with regard to conventional chemical thrusters makes them a great alternative. To
find optimized thruster designs is of high importance for industrial applications. Building
new prototypes is very expensive and takes a lot of time. A cheaper alternative is to rely
on computer simulations to get a deeper understanding of the underlying physics. In order
to gain a realistic simulation the whole system has to be taken into account including the
channel and the plume region. Because numerical models have to resolve the smallest time
and spatial scales, simulations take up an unfeasible amount of time. Usually a self-similarity
scaling scheme is used to greatly speed up these simulations. Until now the limits of this
method have not been thoroughly discussed. Therefore, this thesis investigates the limits
and the influence of the self-similarity scheme on simulations of ion thrusters. The aim
is to validate the self-similarity scaling and to look for application oriented tools to use
for thruster design optimization. As a test system the High-Efficiency-Multistage-Plasma
thruster (HEMP-T) is considered.
To simulate the HEMP-T a fully kinetic method is necessary. For low-temperature plasmas,
as found in the HEMP-T, the Particle-in-Cell (PIC) method has proven to be the best
choice. Unfortunately, PIC requires high spatial and temporal resolution and is hence
computationally costly. This limits the size of the devices PIC is able to simulate as well
as limiting the exploration of a wider design space of different thrusters. The whole system
is physically described using the Boltzmann and Maxwell equations. Using these system
of equations invariants can be derived. In the past, these invariants were used to derive a
self-similarity scaling law, maintaining the exact solution for the plasma volume, which is
applicable to ion thrusters and other plasmas. With the aid of the self-similarity scaling
scheme the computation cost can be reduced drastically. The drawback of the geometrical
scaling of the system is, that the plasma density and therefore the Debye length does not
scale. This expands the length at which charge separation occurs in respect to the system
size. In this thesis the limits of this scaling are investigated and the influence of the scaling
at higher scaling factors is studied. The specific HEMP-T design chosen for these studies is
the DP1.
Because the application of scaling laws is limited by the increasing influence of charge separation with increased scaling, PIC simulations still are computationally costly. Another approach to explore a wider design space is given using Multi-Objective-Design-Optimization
(MDO). MDO uses different tools to generate optimized thruster designs in a comparatively
short amount of time. This new approach is validated using the PIC method. During this
validation the drawback of the MDO surfaces. The MDO calculations are not self-consistent
and are based on empirical values of old thruster designs as input parameters, which not
necessarily match the new optimized thruster design. By simulating the optimized thruster
design with PIC and recalculate the former input parameters, a more realistic thruster design is achieved. This process can be repeated iteratively. The combination of self-consistent
PIC simulations with the performance of MDO is a great way to generate optimized thruster
designs in a comparatively short amount of time. The proof of concept of such a combination
is the pinnacle of this thesis.
This thesis describes investigations of metal clusters stored in an ion-cyclotron resonance (ICR) trap, as well as corresponding trap research and development. Charged clusters are produced and investigated in the experimental setup Cluster-Trap, comprising a cluster-ion source, an ICR trap and a time-of-flight (ToF) mass spectrometer. In the framework of its move to the new building of the Institute of Physics, new components have been added to the ClusterTrap setup. A radio-frequency ion trap is now used for cluster ion preparation prior to the performance of cluster experiments in the ICR trap. A quadrupole ion deflector allows an optimized usage of the ICR trap, as well as simultaneous use of several ion sources and detectors. The implementation of a potential lift at the ToF mass spectrometer enables a more flexible operation of the setup with ion energies up to several hundreds of electron volts. The new components have been tested and characterized, and the experimental procedures have been adapted. An important aspect of cluster investigations is the manipulation of trapped ions by application of appropriate excitation fields. For the ICR trap, a vector representation model has been developed for quick analysis of radial excitation fields, applied to the quarter-segmented ring electrode of an ICR trap. Its application has been demonstrated for asymmetric radial quadrupolar excitation of stored cluster ions, confirming the observation of unintended ion ejection from the trap. Investigation of multiply negatively charged metal clusters at ClusterTrap has been continued. By the "electron-bath" technique, i.e. simultaneous storage of cluster mono-anions and electrons in the ICR trap, high charge states are produced up to a limit which arises from restrictions for ion trapping. A modification of the electron bath, which bypasses this limit, has been introduced and demonstrated by the first-time production and detection of aluminum cluster anions carrying five excess electrons (penta-anions). Results of the penta-anion production as a function of the trapping voltage relate to the Coulomb potentials of the cluster anions involved, in agreement with previous findings. The observed poly-anionic clusters are meta-stable and their abundance as a function of the cluster size is determined by their lifetimes. Observed poly-anion abundances are described by a thermionic-emission approach, by means of the Richardson-Dushman formula. The height of the Coulomb potential in the formula is decreased to match experimental data, thus accounting for electron tunneling. Poly-anions are observed only above a minimum cluster size, the appearance size. To determine this limit from experimental results, a new data evaluation method has been introduced, which considers the poly-anion lifetimes and respective abundances of a range of cluster sizes. As a result, the experimental appearance size is larger than the smallest poly-anionic cluster observed, in contrast to previous approaches.
Synopsis
By interaction with electrons in ion storage devices (ion-cyclotron-resonance and radio-frequency traps) negatively charged clusters of gold and aluminum have been produced up to the 6th and 10th charge state, respectively. The production of these poly-anions opens exciting new possibilities to measure their lifetimes, to monitor their relaxation schemes after laser radiation, as well as to probe their Coulomb barriers.
Anomalous Nernst effect and three-dimensional
temperature gradients in magnetic tunnel junctions
(2018)
The present work is the first work dealing with turbulence in the WEGA stellarator. The main object of this work is to provide a detailed characterisation of electrostatic turbulence in WEGA and to identify the underlying instability mechanism driving turbulence. The spatio-temporal structure of turbulence is studied using multiple Langmuir probes providing a sufficiently high spatial and temporal resolution. Turbulence in WEGA is dominated by drift wave dynamics. Evidence for this finding is given by several individual indicators which are typical features of drift waves. The phase shift between density and potential fluctuations is close to zero, fluctuations are mainly driven by the density gradient, and the phase velocity of turbulent structures points in the direction of the electron diamagnetic drift. The structure of turbulence is studied mainly in the plasma edge region inside the last closed flux surface. WEGA can be operated in two regimes differing in the magnetic field strength by almost one order of magnitude (57mT and 500mT, respectively). The two regimes turned out to show a strong difference in the turbulence dynamics. At 57mT large structures with a poloidal extent comparable to the machine dimensions are observed, whereas at 500mT turbulent structures are much smaller. The poloidal structure size scales nearly linearly with the inverse magnetic field strength. This scaling may be argued to be related to the drift wave dispersion scale. However, the structure size remains unchanged when the ion mass is changed by using different discharge gases. Inside the last closed flux surface the poloidal ExB drift in WEGA is negligible. The observed phase velocity is in good agreement with the electron diamagnetic drift velocity. The energy in the wavenumber-frequency spectrum is distributed in the vicinity of the drift wave dispersion relation. The three-dimensional structure is studied in detail using probes which are toroidally separated but aligned along connecting magnetic field lines. As expected for drift waves a small but finite parallel wavenumber is found. The ratio between the average parallel and perpendicular wavenumber is in the order of 10^-2. The parallel phase velocity of turbulent structures is in-between the ion sound velocity and the Alfvènvelocity. In the parallel dynamics a fundamental difference between the two operational regimes at different magnetic field strength is found. At 500mT turbulent structures can be described as an interaction of wave contributions with parallel wavefronts. At 57mT the energy in the parallel wavenumber spectrum is distributed among wavenumber components pointing both parallel and antiparallel to the magnetic field vector. In both cases turbulent structures arise preferable on the low field side of the torus. Some results on a novel field in plasma turbulence are given, i.e. the study of turbulence as a function of resonant magnetic field perturbations leading to the formation of magnetic islands. Magnetic islands in WEGA can be manipulated by external perturbation coils. A significant influence of field perturbations on the turbulence dynamics is found. A distinct local increase of the fluctuation amplitude and the associated turbulent particle flux is found in the region of magnetic islands.
Quantum-Kinetic Modeling of Electron Release in Low-Energy Surface Collisions of Atoms and Molecules
(2012)
In this work we present a theoretical description of electron release in the collision of atomic and molecular projectiles with metallic and especially dielectric surfaces. The associated electron yield, the secondary electron emission coefficient, is an important input parameter for numerical simulations of dielectric barrier discharges and other bounded low-temperature gas discharges. The available reference data for emission coefficients is, however, very sparse and often uncertain, especially for molecular projectiles. With the present work we aim to contribute to the filling of these gaps by providing a flexible and easy-to-use model that allows for a convenient calculation of the emission coefficient and related quantities for a wide range of projectile-surface systems and the most dominant reaction channels.
In future fusion reactors disruptions must be avoided at all costs. Disruptions due to the density limit (DL) are typically described by the power-independent Greenwald scaling. Recently, a power dependence of the disruptive DL was predicted by several authors (Zanca et al 2019 Nucl. Fusion 59 126011; Giacomin et al 2022 Phys. Rev. Lett. 128 185003; Singh and Diamond 2022 Plasma Phys. Control. Fusion 64 084004; Stroth et al 2022 Nucl. Fusion 62 076008; Brown and Goldston 2021 Nucl. Mater. Energy 27 101002). It is investigated whether this increases the operational range of the tokamak. Increasing the heating power in the L-mode can induce an L-H transition, and therefore a power-dependent DL and the L-H transition cannot be considered independently. The different models are tested on a data base for separatrix parameters at the separatrix of ASDEX Upgrade and compared with the concept (SepOS) presented in Eich and Manz (2021 Nucl. Fusion 61 086017). The disruptive separatrix density scales with the power ne ∝ P0.38±0.08 in good agreement to all models. Also the back transition from high to low (H-L) confinement shows an approximately Greenwald scaling with an additional power dependence ne ∝ P0.4 according to the SepOS concept. For future devices operating at much higher heating power such a power scaling may allow operation at much higher separatrix densities than are common in H-mode operation. Preconditions to extrapolation for future devices are discussed.