On the optical properties of copper nanocubes as a function of the edge length as modeled by the discrete dipole approximation

This Letter reports an investigation on the optical properties of copper nanocubes as a function of size as modeled by the discrete dipole approximation. In the far-field, our results showed that the extinction resonances shifted from 595 to 670 nm as the size increased from 20 to 100 nm. Also, the highest optical efficiencies for absorption and scattering were obtained for nanocubes that were 60 and 100 nm in size, respectively. In the near-field, the electric-field amplitudes were investigated considering 514, 633 and 785 nm as the excitation wavelengths. The E-fields increased with size, being the highest at 633 nm. (c) 2012 Elsevier B.V. All rights reserved.

Using Equivalent Emission Sources to Evaluate the Coupling Between Components

The electromagnetic interference between the electronic systems or their components influences the performance of the systems. For that reason, it is important to model these interferences in order to optimize the position of the systems or their components. In this paper, a method is proposed to construct the equivalent emission source models of systems. The proposed method is based on the multipolar expansion by representing the radiated emission of generic structures in a spherical reference (r, theta, phi). Some results are presented illustrating our method.

Nonlinear/electromagnetic co-simulation of microwaves and millimeter-waves links

The Ph.D. thesis describes the simulations of different microwave links from the transmitter to the receiver intermediate-frequency ports, by means of a rigorous circuit-level nonlinear analysis approach coupled with the electromagnetic characterization of the transmitter and receiver front ends. This includes a full electromagnetic computation of the radiated far field which is used to establish the connection between transmitter and receiver. Digitally modulated radio-frequency drive is treated by a modulation-oriented harmonic-balance method based on Krylov-subspace model-order reduction to allow the handling of large-size front ends. Different examples of links have been presented: an End-to-End link simulated by making use of an artificial neural network model; the latter allows a fast computation of the link itself when driven by long sequences of the order of millions of samples. In this way a meaningful evaluation of such link performance aspects as the bit error rate becomes possible at the circuit level. Subsequently, a work focused on the co-simulation an entire link including a realistic simulation of the radio channel has been presented. The channel has been characterized by means of a deterministic approach, such as Ray Tracing technique. Then, a 2x2 multiple-input multiple-output antenna link has been simulated; in this work near-field and far-field coupling between radiating elements, as well as the environment factors, has been rigorously taken into account. Finally, within the scope to simulate an entire ultra-wideband link, the transmitting side of an ultrawideband link has been designed, and an interesting Front-End co-design technique application has been setup.

The rupture process of recent tsunamigenic earthquakes by geophysical data inversion

Subduction zones are the favorite places to generate tsunamigenic earthquakes, where friction between oceanic and continental plates causes the occurrence of a strong seismicity. The topics and the methodologies discussed in this thesis are focussed to the understanding of the rupture process of the seismic sources of great earthquakes that generate tsunamis. The tsunamigenesis is controlled by several kinematical characteristic of the parent earthquake, as the focal mechanism, the depth of the rupture, the slip distribution along the fault area and by the mechanical properties of the source zone. Each of these factors plays a fundamental role in the tsunami generation. Therefore, inferring the source parameters of tsunamigenic earthquakes is crucial to understand the generation of the consequent tsunami and so to mitigate the risk along the coasts. The typical way to proceed when we want to gather information regarding the source process is to have recourse to the inversion of geophysical data that are available. Tsunami data, moreover, are useful to constrain the portion of the fault area that extends offshore, generally close to the trench that, on the contrary, other kinds of data are not able to constrain. In this thesis I have discussed the rupture process of some recent tsunamigenic events, as inferred by means of an inverse method. I have presented the 2003 Tokachi-Oki (Japan) earthquake (Mw 8.1). In this study the slip distribution on the fault has been inferred by inverting tsunami waveform, GPS, and bottom-pressure data. The joint inversion of tsunami and geodetic data has revealed a much better constrain for the slip distribution on the fault rather than the separate inversions of single datasets. Then we have studied the earthquake occurred on 2007 in southern Sumatra (Mw 8.4). By inverting several tsunami waveforms, both in the near and in the far field, we have determined the slip distribution and the mean rupture velocity along the causative fault. Since the largest patch of slip was concentrated on the deepest part of the fault, this is the likely reason for the small tsunami waves that followed the earthquake, pointing out how much the depth of the rupture plays a crucial role in controlling the tsunamigenesis. Finally, we have presented a new rupture model for the great 2004 Sumatra earthquake (Mw 9.2). We have performed the joint inversion of tsunami waveform, GPS and satellite altimetry data, to infer the slip distribution, the slip direction, and the rupture velocity on the fault. Furthermore, in this work we have presented a novel method to estimate, in a self-consistent way, the average rigidity of the source zone. The estimation of the source zone rigidity is important since it may play a significant role in the tsunami generation and, particularly for slow earthquakes, a low rigidity value is sometimes necessary to explain how a relatively low seismic moment earthquake may generate significant tsunamis; this latter point may be relevant for explaining the mechanics of the tsunami earthquakes, one of the open issues in present day seismology. The investigation of these tsunamigenic earthquakes has underlined the importance to use a joint inversion of different geophysical data to determine the rupture characteristics. The results shown here have important implications for the implementation of new tsunami warning systems – particularly in the near-field – the improvement of the current ones, and furthermore for the planning of the inundation maps for tsunami-hazard assessment along the coastal area.

Experimental analysis of coaxial jets: instability, flow and mixing characterization

The velocity and mixing field of two turbulent jets configurations have been experimentally characterized by means of cold- and hot-wire anemometry in order to investigate the effects of the initial conditions on the flow development. In particular, experiments have been focused on the effect of the separation wall between the two streams on the flow field. The results of the experiments have pointed out that the wake behind a thick wall separating wall has a strong influence on the flow field evolution. For instance, for nearly unitary velocity ratios, a clear vortex shedding from the wall is observable. This phenomenon enhances the mixing between the inner and outer shear layer. This enhancement in the fluctuating activity is a consequence of a local absolute instability of the flow which, for a small range of velocity ratios, behaves as an hydrodynamic oscillator with no sensibility to external perturbations. It has been suggested indeed that this absolute instability can be used as a passive method to control the flow evolution. Finally, acoustic excitation has been applied to the near field in order to verify whether or not the observed vortex shedding behind the separating wall is due to a global oscillating mode as predicted by the theory. A new scaling relationship has been also proposed to determine the preferred frequency for nearly unitary velocity ratios. The proposed law takes into account both the Reynolds number and the velocity ratio dependence of this frequency and, therefore, improves all the previously proposed relationships.

Oberflächenplasmonen-artige Resonanzen auf metallischen Gittern

Die Geometrie einer Metalloberfläche bestimmt die Wechselwirkung zwischen der Oberflächenplasmonenresonanz und anderen Energieformen wie Photonen, anderen Oberflächenplasmonen und molekularen Anregungen. In dieser Arbeit wird der Einfluss dieser Effekte auf die optischen Eigenschaften von metallischen Reliefgittern untersucht.Aufgrund von Modellrechungen werden auf tiefen Gitterstrukturen Resonanzen erwartet, die sich als selbstgekoppelte Oberflächenplasmonen interpretieren lassen. Diese Resonanzen wurden aufgrund der Symmetrie des elektromagnetischen Feldes klassifiziert. Es wurden tiefe Gitter mit unterschiedlichen Profilformen hergestellt, die die experimentelle Beobachtung von drei gekoppelten Resonanzen erlauben. Variationen in der Tiefe und Asymmetrie der Gitter sowie in der experimentellen Geometrie zeigen die theoretisch vorausgesagten Effekte.Fluoreszenzfarbstoffe können mit elektromagnetischen Oberflächenresonanzen Energie austauschen. Die Lokalisierung des elektrischen Feldes von gekoppelten Resonanzen führt zu einer Ortsabhängigkeit der Kopplung, die bei 'freien' Oberflächenplasmonen nicht beobachtet wird. Ein theoretisches Modell ist in der Lage, die experimentellen Befunde weitgehend zu beschreiben. Die Ortsabhägigkeit der photochemischen Zerstörungsrate erlaubt die Anwendung dieses Effektes zur Messung von Diffusionsphänomenen in dünnen Filmen.Des weiteren wurde die Polarisationsabhängigkeit der Anregung von Oberflächenplasmonen wurde in konischer Reflexionsgeometrie und die Rolle der Oberflächenplasmonen in der thermisch induzierten Lichtemission untersucht. Ferner wurde eine vereinfachte Auswertungsroutine zur Anwendung von Gittern in der Untersuchung von dünnen dielektrischen Filmen entwickelt.

Rastertunnelmikroskopie kombiniert mit optischen Methoden und ihre Anwendung für opto-elektronische Experimente an nanoskopischen Strukturen

Die vorliegende Arbeit untersucht mittels lichtunterstützter Tunnelmikroskopie (STM) den Elektronentransport in farbstoffbedeckten, nanoporösen TiO2-Schichten, die in photoelektrochemischen Solarzellen eingesetzt werden. Transportrelevante Eigenschaften wie die elektronische Zustandsdichte sowie lichtinduzierte Vorgänge wie der Aufbau einer lichtinduzierten Oberflächenladung und lokale Photoströme werden ortsaufgelöst gemessen. Für einen möglichen Einsatz in lichtunterstützter Tunnelmikroskopie werden desweiteren Gold-Nanopartikel auf einer Amino-Hexanthiol-Monolage auf Coulomb-Blockaden untersucht. Den zweite Schwerpunkt stellen methodische Arbeiten zur Messung optischer Nahfelder in STM-Experimenten dar. Erstens sollen die Vorteile von Apertur- und aperturloser optischer Rasternahfeld-Mikroskopie mit komplett metallisierten Faserspitzen verbunden werden, die durch die Faser beleuchtet werden. Es gelingt nicht, theoretisch vorhergesagte hohe optische Auflösungen zu bestätigen. Zweitens werden transparente Spitzen aus Sb-dotiertem Zinnoxid erfolgreich als Tunnelspitzen getestet. Die Spitzen ermöglichen STM-Elektrolumineszenz-Experimente zur Charakterisierung optischer Nahfelder, ohne diese durch eine metallische Spitze zu beeinträchtigen. In einer STM-Studie wird das Selbstorganisations-Verhalten von Oktanthiol und Oktandithiol auf Au(111) aus Ethanol untersucht. Bei geringer relativer Konzentration der Dithiole (1:2000), bildet sich eine Phase liegender Dithiole, deren Ordnung durch die Präsenz der Oktanthiole katalysiert wird. Schließlich wird ein als 'dynamische Tunnelmikroskopie' bezeichneter Modus für die Tunnelmikroskopie in elektrisch leitfähiger Umgebung erfolgreich getestet, der zur Unterdrückung des elektrochemischen Leckstromanteils die Ableitung des Stroms nach dem Abstand als STM-Abstandssignal verwendet.

Nonlinear / electromagnetic co-simulation and co-design of microwave links in highly polluted and / or strongly inhomogeneous environments

The objective of the Ph.D. thesis is to put the basis of an all-embracing link analysis procedure that may form a general reference scheme for the future state-of-the-art of RF/microwave link design: it is basically meant as a circuit-level simulation of an entire radio link, with – generally multiple – transmitting and receiving antennas examined by EM analysis. In this way the influence of mutual couplings on the frequency-dependent near-field and far-field performance of each element is fully accounted for. The set of transmitters is treated as a unique nonlinear system loaded by the multiport antenna, and is analyzed by nonlinear circuit techniques. In order to establish the connection between transmitters and receivers, the far-fields incident onto the receivers are evaluated by EM analysis and are combined by extending an available Ray Tracing technique to the link study. EM theory is used to describe the receiving array as a linear active multiport network. Link performances in terms of bit error rate (BER) are eventually verified a posteriori by a fast system-level algorithm. In order to validate the proposed approach, four heterogeneous application contexts are provided. A complete MIMO link design in a realistic propagation scenario is meant to constitute the reference case study. The second one regards the design, optimization and testing of various typologies of rectennas for power generation by common RF sources. Finally, the project and implementation of two typologies of radio identification tags, at X-band and V-band respectively. In all the cases the importance of an exhaustive nonlinear/electromagnetic co-simulation and co-design is demonstrated to be essential for any accurate system performance prediction.

Plasmonenresonanzen von sichelförmigen metallischen Nanoobjekten

Metallische Objekte in der Größenordnung der optischen Wellenlänge zeigen Resonanzen im optischen Spektralbereich. Mit einer Kombination aus Kolloidlithographie, Metallfilmbedampfung und reaktivem Ionenstrahl¨atzen wurden Nanosicheln aus Gold bzw. Silber mit identischer Form und Orientierung in Sichelform mit einer Größe von 60nm bis 400nm hergestellt. Der Öffnungswinkel der Nanosicheln lässt sich kontinuierlich einstellen. Durch die einheitliche Orientierung lassen sich Messungen am Ensemble direkt auf das Verhalten des Einzelobjektes übertragen, wie ein Vergleich der Extinktionsspektren einer Ensemblemessung am UV/Vis/NIR-Spektrometer mit einer Einzelpartikelmessung in einem konfokalen Mikroskop zeigt. Die optische Antwort der Nanosicheln wurde als zwei-dimensionales Modell mit einer Finite Elemente Methode berechnet. Das Ergebnis sind mehrere polarisationsabhängige Resonanzen im optischen Spektrum. Diese lassen sich durch Variation des Öffnungswinkels und der Gr¨oße der Nanosichel verschieben. Durch Beleuchten lassen sich plasmonische Schwingungen anregen, die ein stark lokalisiertes Nahfeld an den Spitzen und in der Öffnung der Nanosicheln erzeugen. Das Nahfeld der Partikelresonanz wurde mit einer Fotolackmethode nachgewiesen. Die Untersuchungen am UV/Vis/NIR-Spektrometer zeigen mehrere polarisationsabhängige Resonanzen im Spektralbereich von 300 nm bis 3200 nm. Die Resonanzen der Nanosicheln lassen sich durch den Öffnungswinkel und den Durchmesser in der Größenordnung der Halbwertbreite im optischen Spektrum verschieben. In der Anwendung als Chemo- bzw. Biosensor zeigen Gold-Nanosicheln eine ähnliche Empfindlichkeit wie vergleichbare Sensoren auf der Basis von dünnen Metallstrukturen. Das Nahfeld zeichnet sich durch eine starke Lokalisierung aus und dringt, je nach Multipolordnung, zwischen 14 nm und 70 nm in die Umgebung ein. Quantenpunkte wurden an das Nahfeld der Nanosicheln gekoppelt. Die Emission der Quantenpunkte bei einer Wellenlänge von 860nm wird durch die Resonanz der Nanosicheln verstärkt. Die Nanosicheln wurden als optische Pinzette eingesetzt. Bei einer Anregung mit einem Laser bei einer Wellenlänge von 1064 nm wurden Polystyrolkolloide mit einem Durchmesser von 40 nm von den resonanten Nanosicheln eingefangen. Die Nanosicheln zeigen außergewöhnliche optische Eigenschaften, die mithilfe der Geometrieparameter über einen großen Bereich verändert werden können. Die ersten Anwendungen haben Anknüpfungspunkte zur Verwendung in der Sensorik, Fluoreszenzspektroskopie und als optische Pinzette aufgezeigt.

Grazing incidence pumped Zr x-ray laser for spectroscopy on Li-like ions

X-ray laser fluorescence spectroscopy of the 2s-2p transition in Li-like ions is promising to become a widely applicable tool to provide information on the nuclear charge radii of stable and radioactive isotopes. For performing such experiments at the Experimental Storage Ring ESR, and the future NESR within the FAIR Project, a grazing incidence pumped (GRIP) x-ray laser (XRL) was set up at GSI Darmstadt using PHELIX (Petawatt High Energy Laser for heavy Ions eXperiments). The experiments demonstrated that lasing using the GRIP geometry could be achieved with relatively low pump energy, a prerequisite for higher repetition rate. In the first chapter the need of a plasma XRL is motivated and a short history of the plasma XRL is presented. The distinctive characteristic of the GRIP method is the controlled deposition of the pump laser energy into the desired plasma density region. While up to now the analysis performed were mostly concerned with the plasma density at the turning point of the main pump pulse, in this thesis it is demonstrated that also the energy deposition is significantly modified for the GRIP method, being sensitive in different ways to a large number of parameters. In the second chapter, the theoretical description of the plasma evolution, active medium and XRL emission properties are reviewed. In addition an innovative analysis of the laser absorption in plasma which includes an inverse Bremsstrahlung (IB) correction factor is presented. The third chapter gives an overview of the experimental set-up and diagnostics, providing an analytical formula for the average and instantaneous traveling wave speed generated with a tilted, on-axis spherical mirror, the only focusing system used up to now in GRIP XRL. The fourth chapter describes the experimental optimization and results. The emphasis is on the effect of the incidence angle of the main pump pulse on the absorption in plasma and on output and gain in different lasing lines. This is compared to the theoretical results for two different incidence angles. Significant corrections for the temperature evolution during the main pump pulse due to the incidence angle are demonstrated in comparison to a simple analytical model which does not take into account the pumping geometry. A much better agreement is reached by the model developed in this thesis. An interesting result is also the appearance of a central dip in the spatially resolved keV emission which was observed in the XRL experiments for the first time and correlates well with previous near field imaging and plasma density profile measurements. In the conclusion also an outlook to the generation of shorter wavelength XRL’s is given.

Study of the interactions of Neptunium with humic substances and the clay mineral montmorillonite by direct and non direct speciation methods

For the safety assessment of radioactive waste, the possibility of radionuclide migration has to be considered. Since Np (and also Th due to the long-lived 232-Th) will be responsible for the greatest amount of radioactivity one million years after discharge from the reactor, its (im)-mobilization in the geosphere is of great importance. Furthermore, the chemistry of Np(V) is quite similar (but not identical) to the chemistry of Pu(V). Three species of neptunium may be found in the near field of the waste disposal, but pentavalent neptunium is the most abundant species under a wide range of natural conditions. Within this work, the interaction of Np(V) with the clay mineral montmorillonite and melanodins (as model substances for humic acids) was studied. The sorption of neptunium onto gibbsite, a model clay for montmorillonite, was also investigated. The sorption of neptunium onto γ-alumina and montmorillonite was studied in a parallel doctoral work by S. Dierking. Neptunium is only found in ultra trace amounts in the environment. Therefore, sensitive and specific methods are needed for its determination. The sorption was determined by γ spectroscopy and LSC for the whole concentration range studied. In addition the combination of these techniques with ultrafiltration allowed the study of Np(V) complexation with melanoidins. Regrettably, the available speciation methods (e.g. CE-ICP-MS and EXAFS) are not capable to detect the environmentally relevant neptunium concentrations. Therefore, a combination of batch experiments and speciation analyses was performed. Further, the preparation of hybrid clay-based materials (HCM) montmorillonitemelanoidins for sorption studies was achieved. The formation of hybrid materials begins in the interlayers of the montmorillonite, and then the organic material spreads over the surface of the mineral. The sorption of Np onto HCM was studied at the environmentally relevant concentrations and the results obtained were compared with those predicted by the linear additive model by Samadfam. The sorption of neptunium onto gibbsite was studied in batch experiments and the sorption maximum determined at pH~8.5. The sorption isotherm pointed to the presence of strong and weak sorption sites in gibbsite. The Np speciation was studied by using EXAFS, which showed that the sorbed species was Np(V). The influence of M42 type melanodins on the sorption of Np(V) onto montmorillonite was also investigated at pH 7. The sorption of the melanoidins was affected by the order in which the components were added and by ionic strength. The sorption of Np was affected by ionic strength, pointing to outer sphere sorption, whereas the presence of increasing amounts of melanoidins had little influence on Np sorption.

Noble-metal nanoparticles produced with colloidal lithography: fabrication, optical properties and applications

In this work, metal nanoparticles produced by nanosphere lithography were studied in terms of their optical properties (in connection to their plasmon resonances), their potential application in sensing platforms - for thin layer sensing and bio-recognition events -, and for a particular case (the nanocrescents), for enhanced spectroscopy studies. The general preparation procedures introduced early in 2005 by Shumaker-Parry et al. to produce metallic nanocrescents were extended to give rise to more complex (isolated) structures, and also, by combining colloidal monolayer fabrication and plasma etching techniques, to arrays of them. The fabrication methods presented in this work were extended not only to new shapes or arrangements of particles, but included also a targeted surface tailoring of the substrates and the structures, using different thiol and silane compounds as linkers for further attachment of, i.e. polyelectrolyte layers, which allow for a controlled tailoring of their nanoenvironment. The optical properties of the nanocrescents were studied with conventional transmission spectroscopy; a simple multipole model was adapted to explain their behaviour qualitatively. In terms of applications, the results on thin film sensing using these particles show that the crescents present an interesting mode-dependent sensitivity and spatial extension. Parallel to this, the penetrations depths were modeled with two simplified schemes, obtaining good agreement with theory. The multiple modes of the particles with their characteristic decay lengths and sensitivities represent a major improvement for particle-sensing platforms compared to previous single resonance systems. The nanocrescents were also used to alter the emission properties of fluorophores placed close to them. In this work, green emitting dyes were placed at controlled distances from the structures and excited using a pulsed laser emitting in the near infrared. The fluorescence signal obtained in this manner should be connected to a two-photon processes triggered by these structures; obtaining first insight into plasmon-mediated enhancement phenomena. An even simpler and faster approach to produce plasmonic structures than that for the crescents was tested. Metallic nanodiscs and nanoellipses were produced by means of nanosphere lithography, extending a procedure reported in the literature to new shapes and optical properties. The optical properties of these particles were characterized by extinction spectroscopy and compared to results from the literature. Their major advantage is that they present a polarization-dependent response, like the nanocrescents, but are much simpler to fabricate, and the resonances can be tailored in the visible with relative ease. The sensing capabilities of the metallic nanodiscs were explored in the same manner as for the nanocrescents, meaning their response to thin layers and to bio-recognition events on their surface. The sensitivity of these nanostructures to thin films proved to be lower than that of the crescents, though in the same order of magnitude. Experimental information about the near field extension for the Au nanodiscs of different sizes was also extracted from these measurements. Further resonance-tailoring approaches based on electrochemical deposition of metals on the nanodiscs were explored, as a means of modifying plasmon resonances by changing surface properties of the nanoparticles. First results on these experiments would indicate that the deposition of Ag on Au on a submonolayer coverage level can lead to important blue-shifts in the resonances, which would open a simple way to tailor resonances by changing material properties in a local manner.

Sistemi di comunicazione a corto raggio: analisi sperimentale con dispositivi NFC.

Una delle tecnologie radio che negli ultimi anni ha subito il maggior sviluppo è quella dell’identificazione a radio frequenza (Radio Frequency Identification), utilizzata in un gran numero di ambiti quali la logistica, il tracciamento, l’autenticazione e i pagamenti elettronici. Tra le tecnologie specifiche legate all’RFID si ritrova la Near Field Communication (NFC). Questa è una tecnologia di trasmissione dati a corto raggio che rappresenta un’evoluzione dell’RFID. Una delle caratteristiche dell’NFC è quella di instaurare una comunicazione tra due dispositivi in maniera semplice e intuitiva. L’oggetto che instaura la comunicazione è il Reader, nell’ambito RFID è un dispositivo altamente specializzato, poiché può lavorare a diverse frequenze operative. L’elemento innovativo che ha consentito il successo dell’NFC è il fatto che questa tecnologia possa integrare il Reader in uno strumento di comunicazione di largo uso, ovvero lo smartphone. Questo permette di inizializzare lo scambio dati, sia esso di lettura di un circuito integrato passivo o una trasmissione peer-to-peer, a seguito del naturale gesto di avvicinare lo smartphone. Analisti ed esperti del settore sono convinti del successo dell’NFC, nonostante siano state smentite le attese che vedevano l’NFC integrato in oltre la metà dei cellulari entro il 2010. Tra le molteplici applicazioni NFC in questo elaborato ci si soffermerà in particolare sul cosiddetto Smart Poster. Questo utilizzo può essere molto efficace avendo una gamma di impiego molto vasta. Per l’immagazzinamento dei dati nei Tag o nelle Smart Card si è utilizzato un protocollo d’incapsulamento dati chiamato NDEF (NFC Data Exchange Format) trattato nel capitolo 3 di questa trattazione. Nella seconda parte dell’elaborato si è realizzata una sperimentazione per misurare le distanze di funzionamento di cellulari e Reader per PC. In questo ambito si è realizzato quello che si è definito lo Smart Brick, cioè un mattone che comunica con dispositivi NFC grazie all’installazione di un Tag al suo interno. Si parlerà della realizzazione e degli strumenti software/hardware che hanno permesso di realizzare e programmare questo ”mattone elettronico”.

Visualisierung vergrabener Objekte: Ein Sampling-Verfahren für die Maxwell-Gleichungen

Wir untersuchen die numerische Lösung des inversen Streuproblems der Rekonstruktion der Form, Position und Anzahl endlich vieler perfekt leitender Objekte durch Nahfeldmessungen zeitharmonischer elektromagnetischer Wellen mit Hilfe von Metalldetektoren. Wir nehmen an, dass sich die Objekte gänzlich im unteren Halbraum eines unbeschränkten zweischichtigen Hintergrundmediums befinden. Wir nehmen weiter an, dass der obere Halbraum mit Luft und der untere Halbraum mit Erde gefüllt ist. Wir betrachten zuerst die physikalischen Grundlagen elektromagnetischer Wellen, aus denen wir zunächst ein vereinfachtes mathematisches Modell ableiten, in welchem wir direkt das elektromagnetische Feld messen. Dieses Modell erweitern wir dann um die Messung des elektromagnetischen Feldes von Sendespulen mit Hilfe von Empfangsspulen. Für das vereinfachte Modell entwickeln wir, unter Verwendung der Theorie des zugehörigen direkten Streuproblems, ein nichtiteratives Verfahren, das auf der Idee der sogenannten Faktorisierungsmethode beruht. Dieses Verfahren übertragen wir dann auf das erweiterte Modell. Wir geben einen Implementierungsvorschlag der Rekonstruktionsmethode und demonstrieren an einer Reihe numerischer Experimente die Anwendbarkeit des Verfahrens. Weiterhin untersuchen wir mehrere Abwandlungen der Methode zur Verbesserung der Rekonstruktionen und zur Verringerung der Rechenzeit.

Surface patterning with colloidal monolayers

This thesis focuses on the controlled assembly of monodisperse polymer colloids into ordered two-dimensional arrangements. These assemblies, commonly referred to as colloidal monolayers, are subsequently used as masks for the generation of arrays of complex metal nanostructures on solid substrates.rnThe motivation of the research presented here is twofold. First, monolayer crystallization methods were developed to simplify the assembly of colloids and to produce more complex arrangements of colloids in a precise way. Second, various approaches to colloidal lithography are designed with the aim to include novel features or functions to arrays of metal nanostructures.rnThe air/water interface was exploited for the crystallization of colloidal monolayer architectures as it combines a two-dimensional confinement with a high lateral mobility of the colloids that is beneficial for the creation of high long range order. A direct assembly of colloids is presented that provides a cheap, fast and conceptually simple methodology for the preparation of ordered colloidal monolayers. The produced two-dimensional crystals can be transformed into non-close-packed architectures by a plasma-induced size reduction step, thus providing valuable masks for more sophisticated lithographic processes. Finally, the controlled co-assembly of binary colloidal crystals with defined stoichiometries on a Langmuir trough is introduced and characterized with respect to accessible configurations and size ratios. rnSeveral approaches to lithography are presented that aim at introducing different features to colloidal lithography. First, using metal-complex containing latex particles, the synthesis of which is described as well, symmetric arrays of metal nanoparticles can be created by controlled combustion of the organic material of the colloids. The process does not feature an inherent limit in nanoparticle size and is able to produce complex materials as will be demonstrated for FePt alloy particles. Precise control over both size and spacing of the particle array is presented. rnSecond, two lithographic processes are introduced to create sophisticated nanoparticle dimer units consisting of two crescent shaped nanostructures in close proximity; essentially by using a single colloid as mask to generate two structures simultaneously. Strong coupling processes of the parental plasmon resonances of the two objects are observed that are accompanied by high near-field enhancements. A plasmon hybridization model is elaborated to explain all polarization dependent shifts of the resonance positions. Last, a technique to produce laterally patterned, ultra-flat substrates without surface topographies by embedding gold nanoparticles in a silicon dioxide matrix is applied to construct robust and re-usable sensing architectures and to introduce an approach for the nanoscale patterning of solid supported lipid bilayer membranes. rn