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To evaluate an iterative learning approach for enhanced performance of robust artificial‐neural‐networks for k‐space interpolation (RAKI), when only a limited amount of training data (auto‐calibration signals [ACS]) are available for accelerated standard 2D imaging.
Methods
In a first step, the RAKI model was tailored for the case of limited training data amount. In the iterative learning approach (termed iterative RAKI [iRAKI]), the tailored RAKI model is initially trained using original and augmented ACS obtained from a linear parallel imaging reconstruction. Subsequently, the RAKI convolution filters are refined iteratively using original and augmented ACS extracted from the previous RAKI reconstruction. Evaluation was carried out on 200 retrospectively undersampled in vivo datasets from the fastMRI neuro database with different contrast settings.
Results
For limited training data (18 and 22 ACS lines for R = 4 and R = 5, respectively), iRAKI outperforms standard RAKI by reducing residual artifacts and yields better noise suppression when compared to standard parallel imaging, underlined by quantitative reconstruction quality metrics. Additionally, iRAKI shows better performance than both GRAPPA and standard RAKI in case of pre‐scan calibration with varying contrast between training‐ and undersampled data.
Conclusion
RAKI benefits from the iterative learning approach, which preserves the noise suppression feature, but requires less original training data for the accurate reconstruction of standard 2D images thereby improving net acceleration.
Fascinating pictures that can be interpreted as showing molecular orbitals have been obtained with various imaging techniques. Among these, angle resolved photoemission spectroscopy (ARPES) has emerged as a particularly powerful method. Orbital images have been used to underline the physical credibility of the molecular orbital concept. However, from the theory of the photoemission process it is evident that imaging experiments do not show molecular orbitals, but Dyson orbitals. The latter are not eigenstates of a single-particle Hamiltonian and thus do not fit into the usual simple interpretation of electronic structure in terms of molecular orbitals. In a combined theoretical and experimental study we thus check whether a Dyson-orbital and a molecular-orbital based interpretation of ARPES lead to differences that are relevant on the experimentally observable scale. We discuss a scheme that allows for approximately calculating Dyson orbitals with moderate computational effort. Electronic relaxation is taken into account explicitly. The comparison reveals that while molecular orbitals are frequently good approximations to Dyson orbitals, a detailed understanding of photoemission intensities may require one to go beyond the molecular orbital picture. In particular we clearly observe signatures of the Dyson-orbital character for an adsorbed semiconductor molecule in ARPES spectra when these are recorded over a larger momentum range than in earlier experiments.
Although spintronics has aroused increasing interest, much fundamental research has to be done. One important issue is the control over the electronic spin. Therefore, spin and phase coherent transport are very important phenomena. This thesis describes experiments with mercury based quantum well structures. This narrow gap material provides a very good template to study spin related effects. It exhibits large Zeeman spin splitting and Rashba spin-orbit splitting. The latter is at least four to five times larger than in III-V semiconductors. Initially a short review on the transport theory was presented. The main focus as on quantisation effects that are important to understand the related experiments. Thus, Shubnikov-de Haas and the quantum Hall effect have been analysed. Due to the first fabrication of nanostructures on Hg-based quantum well samples, the observation of ballistic transport effects could be expected. Hence, the Landauer-B¨uttiker theory has been introduced which gives the theoretical background to understand such effects. With respect to the main topic of this thesis, phase coherence has been introduced in detail. Experiments, where coherence effects could be observed, have been explained theoretically. Here, possible measurement setups have been discussed, e.g., a ring shaped structure to investigate the Aharonov-Bohm and related effects. Due to the fact, that all experiments, described in this thesis, were performed on Hg-based samples, the exceptional position of such samples among the “classical” semiconductors has been clarified. Hg1-xMnx Te quantum wells are type-III QWs in contrast to the type-I QWs formed by e.g., GaAs/AlGaAs heterostructures. With a well width of more than 6 nm and a manganese content of less than 7% they exhibit an inverted band alignment. Band structure calculations based on self consistent Hartree calculations have been presented. The common description of a diluted magnetic semiconductor with the Brillouin function has been introduced and the experiments to obtain the empiric parameters T0 and S0 have been presented. Rashba spin-orbit splitting and giant Zeeman splitting have been explained theoretically and the magnetic ordering of a spin glass as well as the relevant interactions therein have been discussed. The next chapter describes the first realisation of nanostructures on Hg-based heterostructures. Several material specific problems have been solved, but the unique features of this material system mentioned above justify the effort. Interesting new insight could be found and will be found with these structures. Onto a series of QW samples, cross-shaped structures with several lead widths have been patterned. With the non-local resistance measurement setup, evidence for quasiballistic transport was demonstrated in cross-shaped structures with lead widths down to 0.45 mm. The non-local bend resistance and a regime of rebound trajectories as well as the anomalous Hall effect could be identified. Monte-Carlo simulations of the classical electron trajectories have been performed. A good agreement with the experimental data has been achieved by taking a random scattering process into account. Encouraged by this success the technology has been improved and ring-shaped structures with radii down to 1 mm have been fabricated. Low temperature (below 100 mK), four terminal resistance measurements exhibit clear Aharonov-Bohm oscillations. The period of the oscillations agrees very well with a calculation that takes only the sample geometry into account. One goal using such a structure is the experimental prove of the spin-orbit Berry phase. Therefore an additional Shottky gate on top of the ring was needed. With this structure evidence for the Aharonov-Casher effect was observed. Here, a perpendicular applied electric field causes analogous oscillations as does the magnetic field in the AB effect. A subsequent change in the Rashba SO splitting due to several applied gate voltages while measuring the AB effect should reveal the SO Berry phase. Although initially evidence of a phase change was detected, a clear proof for the direct measurement of the SO Berry phase could not be found. In the future, with an advanced sample structure, e.g., with an additional Hall bar next to the ring, which permits a synchronous measurement of the Rashba splitting, it might be possible to measure the SO Berry phase directly. In manganese doped HgTe QWs two different effects simultaneously cause spin splitting: the giant Zeeman and the Rashba effect. By analysing the Shubnikovde Haas oscillations and the node positions of their beating pattern, it has been possible to separate these two effects. Whereas the Rashba effect can be identified by its dependence on the structure inversion asymmetry, varied by the applied gate voltage, the giant Zeeman splitting is extracted from its strong temperature dependence, because Rashba splitting is temperature independent. The analysis revealed, that the Rashba splitting is larger than or comparable to the giant Zeeman splitting even at moderately high magnetic fields. In an extraordinary HgMnTe QW sample, that exhibits the n= 1 quantum Hall plateau from less than 1 T up to 28 T, the anomalous Hall effect could be excluded. Intense studies on the temperature dependence of the QHE as well as band structure calculations have revealed this extraordinary behaviour to be an ordinary band structure effect of this system. In a series of mesoscopic structures on nonmagnetic and magnetic QWs, an investigation of the universal conductance uctuations have been carried out. In the
Background: Cystic fibrosis (CF) patients would benefit from a safe and effective tool to detect early-stage, regional lung disease to allow for early intervention. Magnetic Resonance Imaging (MRI) is a safe, non-invasive procedure capable of providing quantitative assessments of disease without ionizing radiation. We developed a rapid normalized T1 MRI technique to detect regional lung disease in early-stage CF patients.
Materials and Methods: Conventional multislice, pulmonary T1 relaxation time maps were obtained for 10 adult CF patients with normal spirometry and 5 healthy non-CF control subjects using a rapid Look-Locker MRI acquisition (5 seconds/imaging slice). Each lung absolute T1 map was separated into six regions of interest (ROI) by manually selecting upper, central, and lower lung regions in the left and right lungs. In order to reduce the effects of subject-to-subject variation, normalized T1 maps were calculated by dividing each pixel in the absolute T1 maps by the mean T1 time in the central lung region. The primary outcome was the differences in mean normalized T1 values in the upper lung regions between CF patients with normal spirometry and healthy volunteers.
Results: Normalized T1 (nT1) maps showed visibly reduced subject-to-subject variation in comparison to conventional absolute T1 maps for healthy volunteers. An ROI analysis showed that the variation in the nT1 values in all regions was <= 2% of the mean. The primary outcome, the mean (SD) of the normalized T1 values in the upper right lung regions, was significantly lower in the CF subjects [.914 (.037)] compared to the upper right lung regions of the healthy subjects [.983 (.003)] [difference of .069 (95% confidence interval .032-.105); p=.001). Similar results were seen in the upper left lung region.
Conclusion: Rapid normalized T1 MRI relaxometry obtained in 5 seconds/imaging slice may be used to detect regional early-stage lung disease in CF patients.
Planar microcavities with distributed Bragg reflectors (DBRs) host, besides confined optical modes, also mechanical resonances due to stop bands in the phonon dispersion relation of the DBRs. These resonances have frequencies in the 10- to 100-GHz range, depending on the resonator's optical wavelength, with quality factors exceeding 1,000. The interaction of photons and phonons in such optomechanical systems can be drastically enhanced, opening a new route towards the manipulation of light. Here we implemented active semiconducting layers into the microcavity to obtain a vertical-cavity surface-emitting laser (VCSEL). Thereby, three resonant excitations--photons, phonons and electrons--can interact strongly with each other providing modulation of the VCSEL laser emission: a picosecond strain pulse injected into the VCSEL excites long-living mechanical resonances therein. As a result, modulation of the lasing intensity at frequencies up to 40 GHz is observed. From these findings, prospective applications of active optomechanical resonators integrated into nanophotonic circuits may emerge.
This thesis examines the electronic properties of two materials that promise the realization and observation of novel exotic quantum phenomena. For this purpose, angle-resolved photoemission forms the experimental basis for the investigation of the electronic properties. Furthermore, the magnetic order is investigated utilizing X-ray dichroism measurements.
First, the bulk and surface electronic structure of epitaxially grown HgTe in its three-dimensional topological insulator phase is investigated. In this study, synchrotron radiation is used to address the three-dimensional band structure and orbital composition of the bulk states by employing photon-energy-dependent and polarization-dependent measurements, respectively. In addition, the topological surface state is examined on in situ grown samples using a laboratory photon source. The resulting data provide a means to experimentally localize the bulk band inversion in momentum space and to evidence the momentum-dependent change in the orbital character of the inverted bulk states.
Furthermore, a rather new series of van der Waals compounds, (MnBi\(_2\)Te\(_4\))(Bi\(_2\)Te\(_3\))\(_n\), is investigated. First, the magnetic properties of the first two members of the series, MnBi\(_2\)Te\(_4\) and MnBi\(_4\)Te\(_7\), are studied via X-ray absorption-based techniques. The topological surface state on the two terminations of MnBi\(_4\)Te\(_7\) is analyzed using circular dichroic, photon-energy-dependent, and spin-resolved photoemission. The topological state on the (MnBi\(_2\)Te\(_4\))-layer termination shows a free-standing Dirac cone with its Dirac point located in the bulk band gap. In contrast, on the (Bi\(_2\)Te\(_3\))-layer termination the surface state hybridizes with the bulk valences states, forming a spectral weight gap, and exhibits a Dirac point that is buried within the bulk continuum. Lastly, the lack of unambiguous evidence in the literature showing a temperature-dependent mass gap opening in these magnetic topological insulators is discussed through MnBi\(_2\)Te\(_4\).
The study of magnetic phases in spintronic materials is crucial to both our fundamental understanding of magnetic interactions and for finding new effects for future applications.
In this thesis, we study the basic electrical and magnetic transport properties of both epitaxially-grown MnSi thin films, a helimagnetic metal only starting to be developed within our group, and parabolic-doped ultra-thin (Ga,Mn)As layers for future studies and applications.
In this study we characterize the tautomerization of HPc on Cu(111) as a charge-carrier-induced reversible one-electron process. An analysis of the bias-dependent tautomerization rate finds an energy threshold that corresponds to the energy of the N-H stretching mode. By using the tautomerization of the molecule as a detector for charge carrier transport in the so-called molecular nanoprobe (MONA) technique, we provide evidence for an inhomogeneous coupling between the fourfold-symmetric molecule and sixfold-symmetric surface. We conclude the study by comparing the energy dependence of charge carrier transport on the Cu(111) to the Ag(111) surface. While the MONA technique is limited to the detection of hot-electron transport for Ag(111), our data reveal that the lower onset energy of the Cu surface state also allows for the detection of hot-hole transport. The influence of surface and bulk transport on the MONA technique is discussed.
Titanium Dioxide Nanoparticles: Synthesis, X-Ray Line Analysis and Chemical Composition Study
(2016)
TiO2 nanoparticleshave been synthesized by the sol-gel method using titanium alkoxide and isopropanolas a precursor. The structural properties and chemical composition of the TiO2 nanoparticles were studied usingX-ray diffraction, scanning electron microscopy, and X-ray photoelectron spectroscopy.The X-ray powder diffraction pattern confirms that the particles are mainly composed of the anatase phase with the preferential orientation along [101] direction. The physical parameters such as strain, stress and energy density were investigated from the Williamson- Hall (W-H) plot assuming a uniform deformation model (UDM), and uniform deformation energy density model (UDEDM). The W-H analysis shows an anisotropic nature of the strain in nanopowders. The scanning electron microscopy image shows clear TiO2 nanoparticles with particle sizes varying from 60 to 80nm. The results of mean particle size of TiO2 nanoparticles show an inter correlation with the W-H analysis and SEM results. Our X-ray photoelectron spectroscopy spectra show that nearly a complete amount of titanium has reacted to TiO2
In the family of iron-based superconductors, LaFeAsO-type materials possess the simplest electronic structure due to their pronounced two-dimensionality. And yet they host superconductivity with the highest transition temperature T\(_{c}\)\(\approx\)55K. Early theoretical predictions of their electronic structure revealed multiple large circular portions of the Fermi surface with a very good geometrical overlap (nesting), believed to enhance the pairing interaction and thus superconductivity. The prevalence of such large circular features in the Fermi surface has since been associated with many other iron-based compounds and has grown to be generally accepted in the field. In this work we show that a prototypical compound of the 1111-type, SmFe\(_{0.92}\)Co\(_{0.08}\)AsO, is at odds with this description and possesses a distinctly different Fermi surface, which consists of two singular constructs formed by the edges of several bands, pulled to the Fermi level from the depths of the theoretically predicted band structure by strong electronic interactions. Such singularities dramatically affect the low-energy electronic properties of the material, including superconductivity. We further argue that occurrence of these singularities correlates with the maximum superconducting transition temperature attainable in each material class over the entire family of iron-based superconductors.