The aim of master thesis is to describe different calculation of global illumination methods including Light Propagation Volumes. All three steps of LPV calculation are widely described: injection, propagation and rendering. It is also proposed several custom extensions improving graphics quality of this method. Two parts of design and implementation are focused on scene description, rendering system, shadow rendering, implementation of LPV method and proposed extensions. As conclusion, measurement and several images of application are presented, followed by comparison in environment with diffenent parameters, thesis summary with evaluation of achieved results and suggestions of further improvements.

Cette thèse est dédiée à l'extension du Tracé de Rayons Vectoriels Complexes (TRVC) développé au laboratoire et son application à la caractérisation des particules non-sphériques. Dans divers domaines de recherche, tels que la mécanique des fluides et la combustion, nous devons mesurer les caractéristiques des particules. Parmi les différents types de techniques de mesure, la métrologie optique est largement utilisée grâce à sa précision et sa fiabilité. Cependant, la forme des particules est souvent considérée comme sphérique principalement à cause du manque de moyens pour prédire avec précision l'interaction de la lumière avec de grandes particules non-sphériques. TRVC a été développé pour répondre à ces besoins. Il est basé sur le modèle de rayons mais une amélioration radicale a été apportée dans ce nouveau modèle par l'introduction d'une nouvelle propriété dans la notion de rayons lumineux - la courbure de front d'onde. Dans cette thèse, le modèle est appliqué à réexaminer la théorie d'Airy. Il a été montré que TRVC prédit mieux les intensités et les positions des lobes secondaires dans les arcs-en-ciel d'une particule sphérique que la théorie d'Airy. Ensuite, TRVC est appliqué à l'étude des propriétés des arcs-en-ciel formés par les ellipsoïdes allongé et aplati. Il est montré que TRVC peut prédire analytiquement les positions et les intensités de lobes secondaires dans les arcs-en-ciel d’une particule sphéroïdale lorsqu’elle est éclairée par une onde plane dans le plan symétrique. Les pics dus à l'effet focal d'une particule sphéroïdale aplatie ont également été évalués analytiquement en utilisantle facteur de divergence de TRVC. Un système de mesure est aussi mis en place dans le laboratoire pour la diffusion de la lumière par des gouttes pendantes. Il a été montré que le rapport des intensités des deux premiers arcs-en-ciel est sensible à l'ellipticité d'un sphéroïde équivalent. Ceci ouvre un champ d'application potentiel pour caractériser la déformation d'une goutte pendante. / This thesis is dedicated to the extension of Vectorial Complex Ray Model (VCRM)developed in the laboratory and its application in the characterization of large nonspherical particles. In various research domains, such as the uid mechanics and the combustion field, we need to measure the characteristics of the particles. Among di_erent kinds of measurement techniques, the optical metrology is largely employed due to its advantage of being accurate, reliable and non-intrusive. However, in many optical techniques, the shape of the particles is assumed to be spherical. The main reason of this limit is due to the lack of theoretical model to describe with precision the interaction of light with large non-spherical particles. The Vectorial Complex Ray Model has been developed to reply this demand. It is based on the ray model but a radical improvement has been done by introducing a new property the wave front curvatures in the ray model. In this thesis, the model is firstly applied to reexamine the Airy theory. It is shown that even in the case of spherical particle VCRM predicts better the intensity and positions of supernumerary bows of rainbow than the Airy theory. Then VCRM is applied to investigate the properties of the rainbows formed by a spheroidal (prolate or oblate) particle. It is shown that VCRM can predict analytically the positions and the intensity of supernumerary bows and the peaks due to the focal effect when it is illuminated by a plane wave in the symmetrical plane.The theoretical research results have been also applied to the experimental characterization of a pendant drop. The intensity ratio of the two first orders of rainbow is shown sensible to the aspect ratio of the equivalent spheroid and it opens a potential to develop a measurement technique to characterize the deformation of pendant drop.

Ce travail de thèse porte sur l’analyse des effets de la recirculation des gaz de combustion, via l’étude de la dilution par le dioxyde de carbone et plus particulièrement de la vapeur d’eau sur des flammes méthane/air enrichi en dioxygène, dans le cas d’une combustion prémélangée pressurisée rencontrée dans les turbines à gaz. Des mesures de vitesses de flammes CH4/O2/H2O/N2 laminaires pressurisées ont été obtenues à l’aide d’une flamme sphérique se propageant librement dans une enceinte close. L’analyse des résultats expérimentaux a permis de vérifier la validité du schéma cinétique GRIMech ?3.0 au travers des calculs numériques de flammes libres monodimensionnelles. Des calculs complémentaires ont permis l’établissement d’une base de données (vitesse de flamme laminaire, longueur de Markstein et nombre de Lewis, température adiabatique de combustion et épaisseur de flamme) en fonction des paramètres d’entrées de la combustion (température, pression, X(H2O), richesse et enrichissement en dioxygène. L’étude expérimentale complémentaire en régime turbulent des flammes diluées à l’H2O ou au CO2 a permis de mettre en avant l’effet de la vitesse laminaire de flamme sur les structures moyennes et la stabilité des flammes turbulentes. Elle a également permis d’analyser les paramètres (température adiabatique, X(H2O), X(CO2), X(N2), Vitesse de flamme laminaire) ayant un rôle important sur la production des polluants CO et NO. / This PhD thesis deals with the analysis of the effects of exhaust gas recirculation (EGR) through the study of the dilution by carbon dioxide and more particularly of the water steam on dioxygen enriched methane/air flames, in the case of a premixed pressurized combustion encountered in gas turbines. CH4/O2/H2O/N2 pressurized laminar burning velocity measurement were obtained using a spherical flame propagating freely in a closed chamber. The analysis of the experimental results made it possible to check the validity of the kinetic scheme GRIMech.3.0 through numerical calculations of one-dimensional free flames. Further calculations allowed the establishment of a database (laminar burning velocity, Markstein length and Lewis number, adiabatic combustion temperature and flame thickness) as a function of combustion input parameters (temperature, pressure, X(H2O), equivalence ratio and dioxygen enrichment). The additional experimental study under turbulent regime, the flames diluted with H2O and CO2 allowed to highlight the effect of the laminar burning velocity on the average structures and the stability of turbulent flames. It also allowed to analyze the parameters (adiabatic flame temperature, pressure, X(H2O), X(CO2), X(N2), laminar burning velocity) which have an important role in the production of CO pollutants and NO.

For the transport of their spacecraft from the vehicle assembly building to the launch pads at Kennedy Space Centre, Florida, the National Aeronautics and Space Administration (NASA) is using two special crawler transporters since 1965. First developed for the Saturn V rocket the crawler transporters have been sufficient for all following generations of space ships so far. But for the new generation of Orionspacecraft which is under development now, a load capacity increase for the crawler transporter of plus 50% was necessary. For this task Hunger Hydraulik did develop new jacking, equalizing and levelling (JEL) cylinders with sufficient load capacity but also with some new features to improve the availability, reliability and safety of this system. After design approval and manufacture of the cylinders they have been tested in a special developed one-to-one scale dynamic test rig and after passing this the cylinders had to prove their performance in the crawler transporter itself. This article describes the general application and introduces the technical requirements of this project as well as the realized solution.

Inkjet printing has emerged from a digital graphic arts printing technology to become a versatile tool for the patterned deposition of functional materials. This thesis contributes to the research in the area of functional inkjet printing by focusing on two different topics: (i) inkjet printing of colloidal suspensions to study the principles of deposit formation and to develop deposits with photonic properties based on self-assembly, and (ii) the development of a reliable manufacturing process for all-inkjet-printed thin-film transistors, highlighting the importance of selection of materials and inks, print pattern generation, and the interplay between ink, substrate and printing conditions. (i) Colloidal suspensions containing nanospheres were applied as ink formulation in order to study the fundamental processes of layer formation and to develop structures with periodically arranged nanospheres allowing the modulation of electromagnetic waves. Evaporation-driven self-assembly was found to be the main driver for the formation of the final deposit morphology. Fine-tuning of inkjet process parameters allows the deposition of highly ordered structures of nanospheres to be arranged as monolayer, multilayer or even three-dimensional assemblies with a microscopic spherical shape. (ii) This thesis demonstrates the development of a manufacturing process for thin-film transistors based on inkjet printing. The knowledge obtained from the study with the colloidal nanospheres is used to generate homogeneous and continuous thin films that are stacked well-aligned to each other to form transistors. Industrial printheads were applied in the manufacturing process, allowing for the up-scaling of the manufacturing by printing of several thousands of devices, and thus the possibility to study the process yield as a function of printing parameters. The discrete droplet-by-droplet nature of the inkjet printing process imposes challenges on the control of printed patterns. Inkjet printing of electronic devices requires a detailed understanding about the process and all of the parameters that influence morphological or functional characteristics of the deposits, such as the selection of appropriate inks and materials, the orientation of the print pattern layout to the deposition process and the reliability of the inkjet process.:Bibliography II Abstract III Preface and acknowledgements IV On the major results and novelty of the thesis VII Table of contents VIII List of abbreviations and symbols X List of figures XII List of tables XX 1 Introduction 1 2 Fundamentals 6 2.1 Inkjet printing – an overview 6 2.2 Piezoelectric inkjet technology and a historical overview of inkjet printing 10 2.3 Pattern and film formation in inkjet printing under the scheme of self-assembly 20 2.4 Inkjet printing of colloidal nanospheres 27 2.5 Spherical colloidal assemblies 29 2.6 All-inkjet-printed thin film transistors 31 3 Experimental section 35 3.1 Inkjet printing systems and accessories 35 3.2 Inks and substrates 38 3.3 Print patterns 43 3.4 Post-processing 46 3.5 Optical, morphological and functional characterization 47 4 Inkjet printing of colloidal nanospheres: Evaporation-driven self-assembly based on ink-substrate interaction 49 4.1 Single droplet deposit morphology: Interaction of substrate and ink 49 4.2 Optical properties of inkjet-printed single droplet monolayers and multilayers 54 5 Inkjet printing of colloidal nanospheres: Evaporation-driven self-assembly of SCAs independent on substrate properties 58 5.1 Inkjet printing of spherical colloidal assemblies and their identification 58 5.2 Fine-tuning of the waveform applied to the printhead 60 5.3 Interaction of substrate and ink 66 5.4 Structures, morphologies and materials of SCAs 68 5.5 Optical properties of SCAs 76 6 Inkjet printing of TFTs: Process development and process reliability 80 6.1 Influence of print layout design 80 6.2 Selection of materials and inks 91 6.3 Manufacturing workflow and electrical TFT parameters 108 6.4 Manufacturing yields and failure origins 113 7 Summary and conclusion 124 References 127 Documentation of authorship and contribution of third persons 149 List of publications 151 APPENDIX A Formation of colloidal hemispheres on hydrophobic PTFE substrates 161 APPENDIX B Inkjet-printed higher-order cluster with N < 100 using BL280 162 APPENDIX C Inkjet-printed SCAs based on BS305 with similar sizes and inkjet-printed SCA based on PSC221 163 APPENDIX D Microreflectance spectra of SCAs and the processing of the spectra using the Savitzky-Golay filter with a second-order polynomial and a moving window of 100 data points 164 APPENDIX E Waveform, drop ejection and photographs of the printed patterns of Sun Chemical EMD5603 and UTDots UTDAgIJ1 165 APPENDIX F Smoothening of profiles obtained by profilometry of EMD5603 and UTDAgIJ1 and dependency of print resolution of layer height 166 APPENDIX G Percentage of area increase based on a 4 mm x 4 mm digital print pattern using the ink Harima NPS-JL and influence of print resolution and post-treatment temperature on sheets resistance 168 APPENDIX H Cross-sectional view of a TFT stack printed with the dielectric Sun Chemical EMD6415 that shows high layer thickness due to ink contraction after the deposition as presented in Figure 46 169 APPENDIX I Influence of printing parameters on the dielectric layer applied in the TFT 170 APPENDIX J Reduction of channel length by decreasing the S-D electrode channel length in the print pattern layout 171

In dieser interdisziplinär geprägten Arbeit wird zunächst eine Übersicht über kugelbasierte Modelle und die algorithmischen Ansätze zur Generierung zufälliger Kugelpackungen gegeben. Ein Algorithmus aus der Gruppe der Kollektiven-Umordnungs-Algorithmen -- der Force-Biased-Algorithmus -- wird ausführlich erläutert und untersucht. Dabei werden die für den Force-Biased-Algorithmus als essenziell geltenden Verschiebungsfunktionen bezüglich ihres Einflusses auf den erreichbaren Volumenanteil der Packungen untersucht. Nicht nur aus der Literatur bekannte, sondern auch neu entwickelte Verschiebungsfunktionen werden hierbei betrachtet. Daran anschließend werden Empfehlungen zur Auswahl geeigneter Verschiebungsfunktionen gegeben. Einige mit dem Force-Biased-Algorithmus generierte Kugelpackungen, zum Beispiel hochdichte monodisperse Packungen, lassen den Schluss zu, dass insbesondere strukturelle Umbildungsvorgänge an solchen Packungen sehr gut zu untersuchen sind. Aus diesem Grund besitzt das Modell der mit dem Force-Biased-Algorithmus dicht gepackten harten Kugeln große Bedeutung in der Materialwissenschaft, insbesondere in der Strukturforschung. In einem weiteren Kapitel werden wichtige Kenngrößen kugelbasierter Modelle erläutert, wie z. B. spezifische Oberfläche, Volumenanteil und die Kontaktverteilungsfunktionen. Für einige besonders anwendungsrelevante Kenngrößen (z. B. die spezifische Oberfläche) werden Näherungsformeln entwickelt, an Modellsystemen untersucht und mit bekannten Näherungen aus der Literatur verglichen. Zur Generierung und Analyse der Kugelpackungen wurde im Rahmen dieser Arbeit die Simulationssoftware „SpherePack“ entwickelt, deren Aufbau unter dem Aspekt des Softwareengineerings betrachtet wird. Die Anforderungen an dieses Simulationssystem sowie dessen Architektur werden hier beschrieben, einschließlich der Erläuterung einzelner Berechnungsmodule. An ausgewählten praxisnahen Beispielen aus der Materialwissenschaft kann die Vielfalt der Einsatzmöglichkeiten eines Simulationssystems zur Generierung und Analyse von zufälligen dicht gepackten Kugelsystemen gezeigt werden. Vor allem die hohe Aussagekraft der Untersuchungen in Bezug auf Materialeigenschaften unterstreicht die Bedeutung des Modells zufällig dicht gepackter harter Kugeln in der Materialforschung und verwandten Forschungsgebieten.

Šimon Knoška The spherically symmetric spacetimes represent one of the most important classes of solutions in general relativity. Therefore, it is very natural to study them also in the context of modified theories of gravity. We directly continue in the previous works in quadratic gravity, where the generalised solutions with the constant Ricci scalar were found in the form of power series expansion in the conformal coordinates. In this work, we have found an alternative expression of this solution in the Robinson-Trautman-like coordinates analogously in the form of power series expansion around the horizon. Al- though the prescribed recurrent power series solution is more complicated than that in the conformal-to-Kundt coordinates, it posses numerous advantages. Namely, the trans- formation to the Schwarzschild-like coordinates is considerable simple and the physical interpretation of the coordinates is more evident. These properties are demonstrated in the preliminary investigation of the geodesic motion of the test particles near the black hole with analysis of the effect of the so-called Bach parameter. In particular, we have observed that the Bach parameter together with the positive cosmological constant Λ > 0 has a significant impact on the global structure of the spacetime.

Dans le cadre du projet DISPATMO (étude de la prévision des risques de pollution liés à la dispersion atmosphérique de produits chimiques), des études de risques liés aux incendies et explosions dus aux produits chimiques stockés sur deux sites tests ont été menées. Le but est d’identifier les produits de combustion de certains composés cibles définis au début du projet, ainsi que d’estimer leur concentration. Les composés tests sont l’éthanol, le 2-butanone, le toluène et le solvant TIFLEX. Ces composés sont susceptibles, surtout à richesse élevées, de former des quantités non-négligeables d’isomères du butène, composés chimiques connus pour être d’importants intermédiaires de la combustion d’hydrocarbures. Après une étude bibliographique sur les isomères du butène, de l’éthanol, de la 2-butanone et du toluène, un mécanisme cinétique détaillé pour simuler l’oxydation de ces composés a été proposé. Une étude expérimentale de l’oxydation de 4 butènes (1-butène, trans-2-butène, cis-2-butène et iso-butène) a été réalisée en réacteur auto-agité (T = 900-1440 K, p = 1 atm, = 0,25, 0,5, 1 et 2, = 70 ms) et en chambre de combustion sphérique (Ti = 300 K, pi = 1, 2, 3 et 5 atm, = 0,8-1,4). Les résultats obtenus ont été confrontés à la simulation. Des données expérimentales issues de la littérature ont été utilisées afin de valider le modèle pour l’oxydation de l’éthanol, de la 2-butanone, du toluène et des isomères du butène. Enfin, une étude expérimentale de l’oxydation du solvant TIFLEX a été menée en réacteur auto-agité (T = 740-1310 K, p = 1 atm, = 0,5, 1 et 2) pour en connaître la composition ainsi que pour identifier et quantifier les produits d’oxydation. Le mécanisme cinétique proposé comporte un coeur C0-C4 robuste, en faisant un outil prédictif fiable, pouvant servir de base à des mécanismes plus étendus capables de représenter la combustion de nombreuses autres espèces (alcanes, alcènes, alcools, aldéhydes ou cétones), par ajout de sous-mécanismes. / In the context of the DISPATMO project (study of the forecast of the risks of pollution related to the atmospheric dispersal of chemicals), risk studies linked to the fires and the explosions due to chemical storage were conducted. The purpose is to identify the combustion products of certain target compounds defined at the beginning of the project, as well as to estimate their concentration. The target compounds include ethanol, 2-butanone, toluene and the solvent TIFLEX. These compounds lead, especially in fuel-rich conditions, to the formation of high quantities of butene isomers, compounds known as important intermediates of hydrocarbon combustion. After a bibliographical study on butene isomers, ethanol, 2- butanone and toluene, a detailed kinetic mechanism for the simulation of the oxidation of these compounds was proposed. An experimental study of the oxidation of the butene isomers was performed in a jet-stirred reactor (T = 900-1440 K, p = 1 atm, = 0.25, 0.5, 1 and 2, = 70 ms) and in a spherical combustion chamber (Ti = 300 K, pi = 1, 2, 3 and 5 atm, = 0.8-1.4). Experimental results were compared with their simulations. Experimental data from the literature were used to validate the model for the oxidation of ethanol, 2-butanone, toluene and butene isomers. Finally, an experimental study of the oxidation of the solvent TIFLEX was performed in the jet-stirred reactor (T = 740-1310 K, p = 1 atm, = 0.5, 1 and 2) in order to know the composition as well as to identify and quantify of the oxidation products. The proposed kinetic mechanism contains a strong C0-C4 base, resulting in a reliable predictive tool, which can be used as a base in larger mechanisms simulating the combustion other species (alkanes, alkenes, alcohols, aldehydes or ketones), by addition of sub-mechanisms.

Le transport de la lumière permet de simuler physiquement le movement de photons dans un environnement virtuel. En rendu d’images, la lumière se propage une dernière fois vers un capteur virtuel la transformant en une image, affichée pour un observateur. Durant ce voyage la lumière peut être analysée fréquentiellement pour comprendre ses variations spatiales et angulaires afin d’accélerer le rendu. La génération d’images réalistes a subit de grandes avancées au cours des dernières années, réduisant l’écart entre simulation et réalité. Cependant les contraintes en terme de performance et de mémoire empêchent toujours aux applications interactives et en temps-réel de bénéficier des effets de rendu les plus complexes. Pour cela, les moteurs de rendu professionels modernes dépendent toujours de méthodes de pré-calculation de données et de procédures asynchrones de traitement. Cette thèse par article présente deux projets traitant du transport de la lumière à travers une perspective fréquentielle dans le contexte d’applications interactives et en temps-réel. Nous proposons premièrement une méthode pour réutiliser efficacement le calcul préalable de chemins de lumière par méthode Monte Carlo pour des séquences animées. Nous prenons avantage de l’analyse fréquentielle du transport de la lumière réalisée dans des travaux antérieurs, étendue ici à l’échantillonement et reconstruction spatial, angulaire et temporel. Notre seconde méthode pré-calcule le transport de la lumière à travers les volumes participatifs jusqu’aux surfaces, que nous encodons comme réponse impulsive. Cet opérateur compacte et efficace nous permet d’accélerer le transport à travers des volumes jusqu’aux surfaces dans le contexte de diffusion multiple dans des conditions arbitraires de média participatifs. / Light transport is the method of physically simulating the movement of photons in an environment. Applied to rendering, light travels one last time to a virtual sensor that captures it as an image displayed to an observer. As it travels, light is analysable frequentially to understand how it varies spatially and angularly to accelerate rendering. Recent advances in physically-based realistic rendering have been closing the gap between reality and simulation but the memory and performance costs still preclude the inclusion of the more computationally expensive effects in interactive and real-time applications. Because of this, modern production renderers rely on the ahead-of-time precomputation of data for efficient reuse in the form of offline computational processes and asynchronously distributed procedures. This thesis by publication investigates with two papers the simulation of light transport from a frequency-based perspective for interactive and precomputed real-time applications. We first propose a method for efficiently reusing light path computations over time in interactive Monte Carlo path-traced animation sequences. We leverage to this end the frequency analysis of light transport introduced in previous works, extended to spatial, angular and temporal sampling and reconstruction. Our second method investigates the precomputation of participating volume-to-surface light transport as impulse responses, a compact and efficient frequency-based transport operator. In turn, these operators accelerate by orders of magnitude the computation of multi-scattered volume-to-surface transport in arbitrary, potentially heterogeneous media conditions.

This study estimated soybean yield responses to K fertilizer using trials data from 18 sites in Mississippi from 2011-2016. Eight response functions were fitted, including linear, linear plateau, quadratic, quadratic-plateau, square root quadratic, spherical plateau, exponential, and exponential-plateau functions. The ratio of high responsive, low responsive, and no responsive sites to K rates is 3:3:12 respectively. The response functions led to different predicted optimal K rates, and the best response function for each site was determined by the Vuong closeness test and economic loss analysis. The predicted economically optimal K rates are 157, 73, and 0 lb/acre for high, low, and no response sites respectively, and the average optimal K rate is 55 lb/acre. Compared to the currently used regional uniform K fertilizer rate of 80 lb/acre, the response-based K rates are expected to generate soybean production gain of about $14 per acre for Mississippi soybean producers.