Les biofilms sont des communautés microbiennes se développant sur des interfaces, en particulier solide-liquide, où les micro-organismes sont enrobés dans une matrice polymérique auto-sécrétée. Le mode de vie sous forme de biofilm est prédominant dans les milieux naturels (par e.g. la texture glissante des fonds de rivières, les dépôts visqueux des canalisations et la plaque dentaire) et confère aux micro-organismes un environnement propice à leur développement. Ceci est particulièrement vrai dans des milieux poreux qui, de part leur important ratio surface/volume, constituent des substrats favorables à la colonisation. Le cadre des biofilms en milieux poreux forme une complexité multi-physique d’ordre élevée dans laquelle interagissent des mécanismes physiques, chimiques et biologiques multi-échelles encore mal compris et très partiellement maîtrisés. La rétroaction entre l’écoulement, la distribution spatiale des microorganismes et le transport de nutriments (par diffusion et advection) en est un exemple. Le développement de biofilms en milieux poreux est au centre de multiples procédés d’ingénierie, tel que les bio-filtres, la bio-remédiation des sols, le stockage de CO2, et de problèmes médicaux comme les infections. Un verrou significatif à l’avancée des connaissances est la limitation des techniques exploratoires en métrologie et imagerie dans des milieux opaques. L’objectif principal de cette thèse est la proposition de méthodologies expérimentales reproductibles et robustes permettant l’étude de biofilms en milieux poreux. Un dispositif expérimental en conditions physiques et biologiques contrôlées est proposé. De plus, un protocole d’imagerie 3D basé sur la micro-tomographie à rayons X (MT RX) associé à l’utilisation d’un nouvel agent de contraste (sulfate de baryum et gel d’agarose), est validé afin de quantifier la distribution spatiale du biofilm. Dans un premier temps, la méthodologie MT RX est comparée à une des méthodes les plus utilisées pour la visualisation de biofilms : la microscopie photonique par fluorescence, ici biphotonique (MBP). Cette comparaison est réalisée pour des biofilms de Pseudomonas Aeruginosa développés dans des capillaires transparents en verre, ce qui facilite l’application des deux modalités. Dans un second temps, une étude des incertitudes liées à l’imagerie est réalisée à travers l’évaluation de différentes métriques (volume, surfaces 3D, épaisseurs) pour un fantôme d’imagerie et trois algorithmes de segmentation différents. Les analyses quantitatives montrent que le protocole de MT RX permet une visualisation du biofilm avec une incertitude d’environ 17%, ce qui est comparable à la MBP (14%). La reproductibilité et la robustesse de la méthodologie MT RX est démontrée. La troisième étape du travail de recherche permet d’aboutir au développement d’un bioréacteur innovant élaboré par fabrication additive et contrôlé par un système micro-fluidique de haute précision. Le dispositif expérimental que nous avons conçu permet de suivre en temps réel l’évolution des propriétés de transport (perméabilité effective), les concentrations en O2 et le détachement de biofilm par spectrophotométrie ; ceci pour des conditions hydrodynamiques contrôlées. Notre méthodologie permet d’étudier l’influence de paramètres biophysiques sur la colonisation du milieu poreux, par exemple l’influence du débit ou de la concentration de nutriments sur le développement temporel du biofilm. En conclusion, ce travail de thèse propose une méthodologie expérimentale reproductible et robuste pour la croissance contrôlée et l’imagerie 3D de biofilms en milieux poreux en apportant la versatilité du contrôle de la micro-architecture du milieu, de l’écoulement et des conditions biochimiques de culture. A notre connaissance, l’approche scientifique suivie et les dispositifs expérimentaux associés constitue la méthodologie la plus complète à ce jour, pour l’étude de biofilms en milieu poreux. / Biofilms are microbial communities developing at the interface between two phases, usually solidliquid, where the micro-organisms are nested in a self-secreted polymer matrix. The biofilm mode of growth is predominant in nature (for e.g. the slimy matter forming on rocks at river bottoms, the viscous deposit in water pipes or even dental plaque) and confers a suitable environment for the development of the micro-organisms. This is particularly the case for porous media which provide favourable substrates given their significant surface to volume ratio. The multi-physical framework of biofilms in porous media is highly complex where the mechanical, chemical and biological aspects interacting at different scales are poorly understood and very partially controlled. An example is the feedback mechanism between flow, spatial distribution of the micro-organisms and the transport of nutrient (by diffusion and advection). Biofilms developing in porous media are a key process of many engineering applications, for example biofilters, soil bio-remediation, CO2 storage and medical issues like infections. Progress in this domain is substantially hindered by the limitations of experimental techniques in metrology and imaging in opaques structures. The main objective of this thesis is to propose robust and reproducible experimental methodologies for the investigation of biofilms in porous media. An experimental workbench under controlled physical and biological conditions is proposed along with a validated 3D imaging protocol based on X-ray micro-tomography (XR MT) using a novel contrast agent (barium sulfate and agarose gel) to quantify the spatial distribution of the biofilm. At first, the XR MT-based methodology is compared to a commonly used techniques for biofilm observation: one or multiple photon excitation fluorescence microscopy, here two-photon laser scanning microscopy (TPLSM). This comparison is performed on Pseudomonas Aeruginosa biofilms grown in transparent glass capillaries which allows for the use of both imaging modalities. Then, the study of uncertainty associated to different metrics namely volume, 3D surface area and thickness, is achieved via an imaging phantom and three different segmentation algorithms. The quantitative analysis show that the protocol enables a visualisation of the biofilm with an uncertainty of approximately 17% which is comparable to TPLSM (14%). The reproducibility and robustness of the XR MT-based methodology is demonstrated. The last step of this work is the achievement of a novel bioreactor elaborated by additive manufacturing and controlled by a high-performance micro-fluidic system. The experimental workbench that we have designed enables to monitor in real-time the evolution of transport properties (effective permeability), O2 concentrations and biofilm detachment by spectrophotometry, all under controlled hydrodynamical conditions. Our methodology allows to investigate the influence of biophysical parameters on the colonisation of the porous medium, for example, the influence of flow rate or nutrient concentration on the temporal development of the biofilm. In conclusion, the thesis work proposes a robust and reproducible experimental methodology for the controlled growth and 3D imaging of biofilms in porous media; while providing versatility in the control of the substrate’s micro-architecture as well as on the flow and biochemical culture conditions. To our knowledge, the scientific approach followed, along with the experimental apparatus, form the most complete methodology, at this time, for the study of biofilms in porous media.

O poli (p-fenilenevinileno), ou PPV, é um polímero de grande relevância tecnológica devido a suas propriedades eletroluminescentes, que têm sido exploradas em diodos emissores de luz orgânicos, displays flexíveis e outros dispositivos optoeletrônicos. Embora o PPV seja um material de importância para muitas aplicações, a sua síntese na nano/microescala não pode ser obtida através do método padrão, o qual utiliza o aquecimento de um polímero precursor poli (cloreto de xileno tetrahidrotiofenio) (PTHT). Este trabalho mostra como a microestruturação com pulsos de femtosegundo pode ser empregada para a síntese de PPV em regiões pré-determinadas, empregando três diferentes abordagens, permitindo uma nova metodologia para a fabricação precisa de microcircuitos poliméricos complexos, (i) na primeira abordagem, o processo de conversão é obtido pela irradiação de filmes de PTHT com pulsos laser ultracurtos em regiões previamente determinadas, o que leva ao controle espacial da formação de PPV em microescala, (ii) na segunda abordagem, microestruturas tridimensionais dopadas com PTHT foram fotopolimerizadas por absorção de dois fótons. A conversão de PTHT para PPV nestas microestruturas dopadas foi obtida após um tratamento térmico, (iii) na terceira abordagem, a transferência direta induzida por laser (LIFT) com pulsos de femtossegundos permite a deposição controlada de PPV com alta resolução espacial, fornecendo micropadrões 2D, preservando sua estrutura e propriedades ópticas. As estruturas foram caracterizadas por microscopia eletrônica de varredura, microscopia óptica de transmissão, microscopia de fluorescência e microscopia confocal de fluorescência. Suas propriedades ópticas foram analisadas através de sistemas de micro-fotoluminescência e micro-absorção implementadas em um microscópio invertido. Medidas de espectroscopia Raman, microscopia de força atômica e medidas elétricas também foram realizadas. Este trabalho mostra como a microestruturação com laser de fs pode ser explorada para a síntese de PPV em regiões pré-determinadas para fabricar uma variedade de microdispositivos, abrindo novos caminhos na optoeletrônica baseada em polímeros. / Poly(p-phenylenevinylene), or PPV, is a polymer of great technological relevance due to its electroluminescent properties, which have been exploited in organic light emitting diodes, flexible displays and other optoelectronic devices. Although PPV is a material of foremost importance for many applications, its synthesis at the nano/micro scale cannot be achieved through the standard method that uses heating of a precursor polymer poly(xylene tetrahydrothiophenium chloride)(PTHT). This work demonstrates the use of direct laser writing with femtosecond pulses to obtain the synthesis of PPV in pre-determined regions, by applying three different approaches, allowing the precise fabrication of complex polymeric microcircuits, (i) in the first approach the conversion process is achieved by irradiating PTHT films with ultra-short laser pulses in previously determined regions, which leads to the spatial control of PPV formation at microscale, (ii) in the second approach, three-dimensional microstructures doped with PTHT were photopolymerized by two photons absorption. The conversion of PTHT to PPV in these doped microstructures was obtained by a subsequent thermal treatment, (iii) in the third approach, laser-induced forward transfer (LIFT) with femtosecond pulses enables the controlled deposition of PPV with high spatial resolution, providing 2D micropatterns, while preserving its structure and optical properties. The structures were characterized by scanning electron, fluorescence, transmission and confocal fluorescence microscopies. Their optical properties were analyzed by micro-photoluminescence and micro-absorption setups assembled on an inverted microscope. Raman spectroscopy, electrical measurements and atomic force microscopy were also performed. This thesis shows the use of fs-laser writing methods for the synthesis of PPV in pre-determined regions, to fabricate a variety of microdevices, thus opening new avenues in polymer-based optoelectronics.

Compostos orgânicos constituem uma classe interessante de materiais para aplicações em óptica por apresentarem boa processabilidade, relativa facilidade para integração em dispositivos e, principalmente, pela possibilidade de otimização de suas propriedades ópticas através da engenharia molecular. Várias estratégias têm sido empregadas para sintetizar moléculas orgânicas, que exibam singificativos efeitos ópticos não lineares. Nesta direção, nos últimos anos moléculas multi-ramificadas vêm sendo produzidas com o objetivo de intensificar efeitos não lineares, já que estas podem exibir um forte efeito cooperativo entre seus ramos. Nesta tese estudamos a relação da absorção de dois fótons (A2F) e da primeira hiperpolarizabilidade com a estrutura molecular, para um conjunto de nove derivados de trifenilamina com diferentes grupos aceitadores de elétrons arranjadas em geometrias dipolar, quadrupolar e octopolar. O processo A2F foi estudados através da técnica de Varredura-Z, enquanto que a primeira hiperpolarizabilidade foi caracterizada pela técnica de espelhamento hiper Rayleigh. Os dados experimentais para a absorção de dois fótons revelaram espectros bem definidos, com valores razoáveis de seção de choque na região do visível e infravermelho próximo. Observamos ainda um engrandecimento para a seção de choque de A2F para as moléculas quadrupolares. Os resultados obtidos para a primeira hiperpolarizabilidade (β) mostraram que moléculas quadrupolares apresentam maior β do que as dipolares e octopolares, portanto, nossos resultados permitem concluir que o acoplamento eletrônico entre os ramos contribuem fortemente para a seção de choque por A2F e β nas moléculas quadrupolares, não sendo este processo relevante nas moléculas octopolares. Todos os resultados foram interpretados por meio de estudos teóricos empregando a teoria do funcional da densidade (DFT). / Organic compounds constitute an interesting class of materials for optical applications due to their excellent processability, easy integration into devices and, mainly, the possibility of optimizing its optical properties through molecular engineering. Several strategies have been employed to synthesize organic molecules, which exhibit significant nonlinear optical effects. In this direction, in the last few years multi-branched molecules have been obtained aiming at intensifying nonlinear optical effects, since they may exhibit a strong cooperative effect among their branches. On this thesis we have studied the relationship of two-photon absorption (2PA) and first hyperpolarizability with the molecular structure of a group of nine triphenylamine derivatives attached to distinct electron acceptor groups arranged in dipole, quadrupole and octopolar geometries. The 2PA process was studied by Z-scan technique, while the first hyperpolarizability was characterized by the hyper-Rayleigh scattering technique. The experimental data for two-photon absorption revealed well-defined spectra with reasonable cross section magnitude in the visible and near infrared range. We also observed an enhancement of the 2PA cross-section for the quadrupolar molecules in comparison to the dipolar and octopolar ones. The results obtained for the first hyperpolarizability (β) shown that the quadrupolar molecules present higher β than the dipolar and octopolar, suggesting that the electronic coupling between the branches strongly contribute to the 2PA cross-section and β in quadrupolar molecules, being not relevant in the octopolar molecules. All results were interpreted through theoretical studies based on the density functional theory (DFT).

Neste trabalho realizamos o estudo da cinética e formação de agregados em cristais iônicos halogenetos alcalinos dopados com impurezas divalentes, através da técnica de espectroscopia de absorção de dois fótons (ADF). Analisamos a formação dos agregados em cristais envelhecidos a temperaturas fixas (50 e 250&#176C), através de medidas de ADF das transições 4f7 &#8594 4f7 do Eu2+, proibidas por um fóton. A evolução do espectro de ADF em função do tempo, mostrou a existência de três fases distintas de agregação. A primeira fase consiste na formação de dímeros e é observada no espectro de ADF através de três absorções muito próximas às absorções do dipolo isolada. As outras duas fases (II e III) evoluem a partir dos dímeros, dependendo do tratamento térmico a que a amostra é submetida. Estas fases são observadas no espectro de ADF através de absorções relativamente afastadas das absorções do dipolo isolado. Todo sistema experimental foi montado em nosso laboratório, consistindo de um sistema de aquisição de dados controlado por um micro-computador; laser de corante bombeado por um YAG:Nd3+; motores de passos para a varredura do comprimento de onda do laser de corante; sistema de detecção; etc. / In this work we realize the study of the Kinetic and formation of precipitates in ionic crystals doped with divalent impurities by the TPA (two photon absorption) spectroscopy technique. We analyze the formation of the aggregates in crystals annealed at temperatures of 50 and 250&#176C. We measured the TPA of the transition 4f7 &#8594 4f7 of the Eu2+, which is forbidden by one photon. The evolution of the TPA spectra at the time showed us three phases of the precipitates. The dimmers formation was observed in the first phase, by three absorptions bands near the one of the impurity vacancy dipole. The others phases (II and III) involve from the dimmers, depending on the annealing temperature that the samples were submitted. Those phases are observed in the TPA spectra through absorptions which are relatively far from the absorptions due to the isolated (I-V) dipole. All experimental system employed is home made. It consists of a data acquisition system controlled by a micro-computer; a Dye laser pumped by a YAG:Nd3+ laser; step motors to scan the wavelength of the Dye laser; detection system and others devices.

Les travaux présentés dans ce mémoire de thèse portent sur la synthèse et l’étude des propriétés spectroscopiques et électrochimiques de systèmes donneur-accepteur conçus pour des applications variées telles que l’électrofluorochromisme, l’absorption à deux photons et le photovoltaïque. La s-tétrazine a été choisie comme accepteur pour sa forte affinité électronique, ses propriétés émissives remarquables et sa capacité à s’organiser via des interactions intermoléculaires de type &#61552--stacking. La triphénylamine a été sélectionnée comme donneur pour son faible potentiel d’ionisation, ses propriétés spectroscopiques (fortes absorption et émission) et la modulation facile de ses propriétés par changement de substituants. Sept dérivés de triphénylamine ont été synthétisés ainsi que dix-huit nouveaux composés multichromophoriques à base de tétrazine et de triphénylamine présentant cinq liens différents et des substituants variés. Ils ont été caractérisés par électrochimie et spectroscopie (stationnaire et résolue en temps). L’étude de la modulation de leurs propriétés photophysiques par le changement de l’état rédox a ensuite été réalisée. Dix composés présentant un lien permettant la conjugaison entre la triphénylamine et la tétrazine ont été synthétisés et caractérisés par électrochimie et spectroscopie. Compte-tenu de leurs propriétés, six d’entre eux ont été testés en absorption à deux photons et deux ont étés retenus pour être utilisés comme donneurs dans une cellule photovoltaïque organique. Par ailleurs, deux réactions ont été étudiées en détail pour expliquer la formation des produits obtenus, inattendus à un premier abord. / This work deals with the synthesis and the spectroscopic and electrochemical studies of donor-acceptor systems which have been designed for electrofluorochromism, two-photon absorption and photovoltaics. s-Tetrazine has been chosen as the acceptor for its high electron affinity, its emission properties and its ability to structure a layer thanks to intermolecular interactions (&#61552--stacking). Triphenylamine has been selected as the donor for its low ionization potential, its spectroscopic properties (high absorption and emission) and the easy modulation of its properties by changing the substituents. Seven triphenylamine derivatives have been synthesized as well as eighteen new multichromophoric compounds based on tetrazine and triphenylamine which have five different links and various substituents. They have been characterized by electrochemistry and spectroscopy (stationary and time-resolved). The study of the modulation of the photophysic properties with the controle of the redox state has been then done. Ten compounds having a conjugating link between the tetrazine and the tetrazine have been synthesized and characterized by electrochemistry and spectroscopy. Given their properties, six of them have been tested in two-photon absorption and two of them have been selected to be used as a donor in an organic solar cell. Moreover two reactions have been examined in depth in order to explain some unexpected synthesis results.

Nesta tese, estudamos o processo de absorção multifotônica em polímeros e resinas poliméricas, abordando tanto aspectos fundamentais quanto aplicados. Com relação aos aspectos fundamentais, estudamos processos de absorção multifotônica (absorção de dois, três e quatro fótons) no polímero conjugado MEH-PPV (poly(2-methoxy-5-(2´-ethylhexyloxy)-1,4- phenylenevinylene)), utilizando a técnica de Varredura-Z com pulsos ultracurtos. Através desta técnica, determinamos o espectro da absorção de dois, três e quatro fótons do MEHPPV. As seções de choque de absorção de multi-fótons correspondentes a cada processo foram determinadas através do ajuste das curvas experimentais com um conjunto de equações desenvolvidas neste trabalho. Os resultados obtidos permitiram traçar relações entre os espectros não lineares e os níveis de energia do polímero. Na vertente mais aplicada do projeto, estudamos a fotopolimerização de resinas acrílicas através do processo de absorção de dois fótons. Devido ao confinamento espacial da polimerização, graças à absorção de dois fótons, este método permite a confecção de micro-estruturas complexas para diversas aplicações tecnológicas. Além da fabricação de microestruturas convencionais não dopadas, neste trabalho desenvolvemos uma metodologia que possibilita a fabricação de microestruturas dopadas com MEH-PPV, visando a produção de micro-elementos fluorescentes para dispositivos fotônicos, e microestruturas dopadas com quitosana, um polímero biocompatível que pode ser utilizado em aplicações médicas e biológicas. / In this thesis we have studied the multi-photon absorption process in polymers and polymeric resins, exploiting its fundamental as well as technological aspects. Regarding the fundamental aspects, we have studied the multi-photon absorption (two-, three- and four-photon absorption) in the conjugated polymer MEH-PPV (poly(2-methoxy-5-(2´-ethylhexyloxy)-1,4-phenylenevinylene)), by using the Z-scan technique with ultrashort laser pulses. Through this technique, we determined the two-, three- and four-photon absorption spectra of MEH-PPV. The multi-photon absorption cross-sections, corresponding to each specific process, have been determined by fitting the experimental data with a set of equations developed in this work. The results allowed us to correlate the nonlinear absorption spectra to the energy level of the polymer. On the technological side of this thesis, we have investigated the photopolymerization of acrylic resins by two-photon absorption. Because of the spatial confinement of the polymerization, resulting from the two-photon excitation, this method allows the fabrication of complex microstructures which can be used for several technological applications. In addition to the fabrication of undoped microstructures, in this work we have developed a methodology that allows the fabrication of microstructures doped with MEHPPV, aiming the production of fluorescent micro-elements for photonics applications, and microstructures doped with chitosan, a biocompatible polymer, that can be used for medical and biological applications.

La stéréolithographie biphotonique (TPS) est une technique de microfabrication 3D basée sur la polymérisation par absorption biphotonique qui permet d’obtenir en une seule étape des structures 3D complexes avec des détails sub-100nm. Aujourd’hui, en raison des conditions spécifiques de fabrication liées à la TPS (fort flux, confinement spatial de la photoréaction,…), un des enjeux concerne le développement de matériaux fonctionnels compatibles avec ce procédé. Dans ce contexte, l’objectif de cette thèse a été de développer de nouveaux matériaux fonctionnels à base de polymères à empreintes moléculaires (MIP) pour élaborer des capteurs chimiques. Une première partie de ce travail a consisté à mettre en place différentes méthodes dédiées à la caractérisation des propriétés géométriques, chimiques et mécaniques des matériaux élaborés par TPS. Par exemple, la vibrométrie laser a été utilisée pour la première fois afin de sonder de façon non-invasive les propriétés mécaniques de microstructures réalisées par TPS. Dans un second temps, ce travail a été mis à profit pour étudier l’impact du processus de fabrication (i.e. conditions photoniques) ainsi que des paramètres physico-chimiques affectant la photoréaction (i.e. inhibition par oxygène et nature du monomère) sur les propriétés finales des matériaux. Enfin, en s’appuyant sur les résultats obtenus, des microcapteurs chimiques à base de MIP, à lecture optique ou mécanique, ont été fabriqués. Leurs propriétés de reconnaissance moléculaire, ainsi que leurs sélectivités ont été démontrées pour une molécule cible modèle (D-L-Phe). / The two-photon stereolithography (TPS) technique is a micro-nanofabrication method based on photopolymerization by two-photon absorption that allows in a single manufacturing step to obtain complex 3D structures with high-resolution details (sub-100nm). Due to the specific conditions of TPS process (intense photon flux, spatial confinement of the photoreaction…) one of the main concerns today is the development of functional materials compatible with the TPS. According to the aforementioned, the general objective of this thesis was to develop new functional materials based on molecularly imprinted polymers (MIP) to elaborate chemical microsensors. In the first step of this work, different methods were implemented to characterize the geometrical, chemical and mechanical properties of the materials synthesized by TPS. For example, laser-Doppler vibrometry was used for first time to evaluate the mechanical properties of microstructures fabricated by TPS in a non-invasive way. In the second step, the characterization methodology was used to study the impact of the manufacturing process (i.e. photonic conditions) and the physicochemical parameters that affect the photoreaction (i.e. oxygen inhibition and the nature of the monomer) and the final properties of the materials. Finally, the obtained results enabled the prototyping of chemical microsensors based on MIP. Their molecular recognition properties and their selectivity were demonstrated for the molecule (D-L-Phe) by an optical and a mechanical sensing method.

We have studied fundamental aspects of time-resolved two-photon excited fluorescence depolarisation. The thesis presents experimental as well as theoretical progress. We show that a multi-photon induced instrumental response function obtained from a suspension of gold nanoparticles is appropriate for the analysis of two-photon excited fluorescence decays obtained using time-correlated single photon counting detection. Theoretical expressions have been derived for the fluorescence anisotropy decay obtained upon two-photon excitation of various molecular systems in liquid solutions: a) an anisotropic rigid rotor that undergoes rotational diffusion in the presence of ultrafast unresolved restricted reorientations, e.g. librations. b) a molecular group covalently attached to a stationary macromolecule, and undergoing local reorientation in a uniaxial ordering potential. A new approach to the analysis of two-photon excited fluorescence depolarisation experiments was developed, which combines data obtained by using linearly and circularly polarised excitation light, in a global manner. In the analysis, knowledge about unresolved reorientations was obtained from one-photon excitation studies of the corresponding systems. By means of this procedure it has been possible to obtain quantitative information about the molecular two-photon absorption tensor for perylene and two of its derivatives. Thereby the symmetry of the final excited and intermediate vibronic states could be assigned. The analysis reveals that the two-photon transition studied with the 800 nm laser exhibits mixed character. An important finding from the experiments was that the two-photon absorption tensor appears to be solvent dependent. Furthermore, the thesis presents the first theoretical treatment of two-photon excited donor-donor energy migration in the presence of molecular reorientation and which applies the extended Förster theory. Explicit expressions for molecules that belong to the point groups D2h, D2 and C2v are given. Preliminary experiments are finally also reported on a two-photon excited donor-donor energy migration system consisting of a bisanthryl-bisteroid.

This thesis concerns quadratic response properties and their application to properties in Jablonski diagrams such as resonant two-photon absorption and excited state absorption. Our main interest lies in optical power limiting applications, and in this context, molecules containing heavy metal atoms prove superior. Therefore, we are interested in how relativity affects these properties, and in order to assess this, a four-component relativistic framework is adopted. To properly address the molecular properties of interest, both relativistic effects and electron correlation need to be accounted for. These two properties are not additive, and, therefore, correlation needs to be incorporated into the four-component framework. We present the implementation of quadratic response properties at the four-component density functional level of theory. For second-harmonic generation, we have, with numerical examples, demonstrated that correlation and relativity are indeed not additive and that the inclusion of noncollinear magnetization is of little importance. We report that both electron correlation as well as relativity strongly affect results for second-harmonic generation. For example, relativity alone reduces the µβ-response signal by 62% and 75% for meta- and ortho-bromobenzene, respectively, and enhances the same response by 17% and 21% for meta- and ortho-iodobenzene, respectively. In the four-component framework, we present the implementations of single and double residues of the quadratic response function, which allows for the evaluation of resonant two-photon absorption cross sections and excited state properties. Using these tools, we discuss different levels of approximation to the relativistic Hamiltonian and we demonstrate that for two-photon absorption, a proper treatment of relativistic effects qualitatively alters the spectrum. For example, already for an element as light as neon, significant differences are seen between the relativistic and nonrelativistic spectra as triplet transitions acquire substantial absorption cross sections in the former case. Finally, quantum mechanics in conjunction with electrodynamics is applied to determine clamping levels in macroscopic samples. The microscopic properties of the optically active chromophores are determined by response theory, and then, electrodynamics is used to describe the interactions between the chromophores and incident laser pulses. Using this approach a series of molecules have been investigated and their performances have been compared and ranked in order to find novel materials for optical power limiting applications.

This thesis reports an experimental characterization of the ultrafast gain and refractive index dynamics of a novel InAs/InGaAsP/InP quantum-dot (QD) semiconductor optical amplifier (SOA) operating near 1.55-µm wavelengths, assessing its high-speed performance characteristics for the first time. The thesis also studies the influence of the degree of quantum confinement on the dynamics of SOAs by comparing the zero-dimensional (0-D) QD's dynamics to those in 1-D InAs/InAlGaAs/InP quantum-dash (QDash), and 2-D InGaAsP/InGaAsP/InP quantum-well (QW) SOAs, both of which also operate near 1.55-µm wavelengths, and are made with matching or similar materials and structures. The ultrafast (around 1 ps) and long-lived (up to 2 ns) amplitude and phase dynamics of the SOAs are characterized via advanced heterodyne pump-probe measurements with 150-femtosecond resolution. It is found that the QD SOA has an 80-picosecond amplitude, and 110-picosecond phase recovery lifetime in the gain regime, 4-6 times faster than the QDash and QW recovery lifetimes, as well as reduced ultrafast transients, giving it the best properties for high-speed (> 100 Gb/s) all-optical signal processing in the important telecommunications wavelength bands. An impulse response model is developed and used to analyze the dynamics, facilitating a comparison of the gain compression factors, time-resolved linewidth enhancement factors (alpha-factors), and instantaneous dynamic coefficients (two-photon absorption and nonlinear refractive-index coefficients) amongst the three structures. The quantum-dot device is found to have the lowest effective alpha-factor, 2-10, compared to 8-16 in the QW, as well as time-resolved alpha-factors lower than in the QW—promising for reduced-phase-transient operation at high bitrates. Significant differences in the alpha-factors of lasers with the same structure are found, due to the differences between gain changes that are induced optically or through the electrical bias. The relative contributions of stimulated transitions and free-carrier absorption to the total carrier heating dynamics in SOAs of varying dimensionality are also reported for the first time. Examining the QD electroluminescence and linear gain spectra in combination with the carrier dynamics also brings about conclusions on the nature of the quantum confinement, dot energy-level structure, and density of states—aspects of the material that have not been previously well understood.