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Dissertation
1.55 µm High-Speed QDs Lasers for Optical Telecommunication Applications
(2014-12-19)
In this work investigation of the QDs formation and the fabrication of QD based semiconductor lasers for telecom applications are presented. InAs QDs grown on AlGaInAs lattice matched to InP substrates are used to fabricate lasers operating at 1.55 µm, which is the central wavelength for far distance data transmission. This wavelength is used due to its minimum attenuation in standard glass fibers.
The incorporation of QDs in this material system is more complicated in comparison to InAs QDs in the GaAs system. Due ...
Preprint
A free boundary approach to the Rosensweig instability of ferrofluids
(2017-04-18)
We establish the existence of saddle points for a free boundary problem describing the two-dimensional free surface of a ferrofluid which undergoes normal field instability (also known as Rosensweig instability). The starting point consists in the ferro-hydrostatic equations for the magnetic potentials in the ferrofluid and air, and the function describing their interface. The former constitute the strong form for the Euler-Lagrange equations of a convex-concave functional. We extend this functional in order to ...
Preprint
On the existence of symmetric minimizers
(2018-01-23)
In this note we revisit a less known symmetrization method for functions with respect to a topological group, which we call G-averaging. We note that, although quite non-technical in nature, this method yields G-invariant minimizers of functionals satisfying some relaxed convexity properties. We give an abstract theorem and show how it can be applied to the p-Laplace and polyharmonic Poisson problem in order to construct symmetric solutions. We also pose some open problems and explore further possibilities where the ...
Dissertation
Excitation of Phonons in Solids and Nanostructures by Intense Laser and XUV Pulses and by Low Energy Atomic Collision
(2016-02-17)
Intensive, ultrakurze Laserpulse regen Festkörper in einen Zustand an, in dem die Elektronen hohe Temperaturen erlangen, während das Gitter kalt bleibt. Die heißen Elektronen beeinflussen das sog. Laser-angeregte interatomare Potential bzw. die Potentialenergiefläche, auf der die Ionen sich bewegen. Dieses kann neben anderen ultrakurzen Prozessen zu Änderungen der Phononfrequenzen (phonon softening oder phonon hardening) führen. Viele ultrakurze strukturelle Phänomene in Festkörpern hängen bei hohen Laseranregungen ...
Dissertation
Computing Quot Schemes
(2017-02-27)
The main goal of this thesis is to develop computational methods which allow effective computations on Hilbert and Quot schemes. At first we introduce marked bases over modules. They may be considered as a form of Gröbner basis which do not depend on a term order. Instead, one chooses for each generator some term as head module term such that the head module terms generate a prescribed monomial module. We show that the involutive normal form algorithm with respect to Pommaret division will terminate if the prescribed ...
Dissertation
Molecular Beam Epitaxial Growth of III-V Semiconductor Nanostructures on Silicon Substrates
(2013-07-24)
The main focus and concerns of this PhD thesis is the growth of III-V semiconductor nanostructures (Quantum dots (QDs) and quantum dashes) on silicon substrates using molecular beam epitaxy (MBE) technique. The investigation of influence of the major growth parameters on their basic properties (density, geometry, composition, size etc.) and the systematic haracterization of their structural and optical properties are the core of the research work. The monolithic integration of III-V optoelectronic devices with silicon ...
Aufsatz
Optical amplification and stability of spiroquaterphenyl compounds and blends
(2015)
In this contribution, we present a systematic investigation on a series of piroquaterphenyl compounds optimised for solid state lasing in the near ultraviolet (UV). Amplified spontaneous emission (ASE) thresholds in the order of 1 μJ/cm2 are obtained in neat (undiluted) films and blends, with emission peaks at 390 1 nm for unsubstituted and meta-substituted quaterphenyls and 400 4 nm for para-ether substituted quaterphenyls. Mixing with a transparent matrix retains a low threshold, shifts the emission to lower ...
Dissertation
Uniformisierbarkeit in Familien von abelschen t-Moduln höheren Ranges
(2011-11-09)
Diese Arbeit beschäftigt sich mit der Frage, wie sich in einer Familie von abelschen t-Moduln die Teilfamilie der uniformisierbaren t-Moduln beschreiben lässt. Abelsche t-Moduln sind höherdimensionale Verallgemeinerungen von Drinfeld-Moduln über algebraischen Funktionenkörpern. Bekanntermaßen lassen sich Drinfeld-Moduln in allgemeiner Charakteristik durch analytische Tori parametrisieren. Diese Tatsache überträgt sich allerdings nur auf manche t-Moduln, die man als uniformisierbar bezeichnet.
Die Situation hat eine ...
Aufsatz
Sulfur transfer and activation by ubiquitin-like modifier system Uba4•Urm1 link protein urmylation and tRNA thiolation in yeast
(2016-10-24)
Urm1 is a unique dual-function member of the ubiquitin protein family and conserved from yeast to man. It acts both as a protein modifier in ubiquitin-like urmylation and as a sulfur donor for tRNA thiolation, which in concert with the Elongator pathway forms 5-methoxy-carbonyl-methyl-2-thio (mcm5s2) modified wobble uridines (U34) in anticodons. Using Saccharomyces cerevisiae as a model to study a relationship between these two functions, we examined whether cultivation temperature and sulfur supply previously ...