<p> </p> <p>High-speed flows are important for defense, national security, and transportation applications and generate harsh environments where simplifying assumptions such as the ideal gas law are not valid due to nonequilibrium and chemistry effects. These flows are difficult and expensive to replicate experimentally, so the development and improvement of high-speed vehicles often relies on high-fidelity computational fluid dynamics (CFD) models. The successful modeling of complicated phenomena, such as heat transfer in a turbulent boundary layer, relies on validation by experimental data taken with high spatiotemporal resolution, precision, and accuracy. Precise experimental measurement of temperature, an important thermodynamic property for CFD models, is difficult with physical probes which are typically slow and perturb the flow. Instead, hybrid femtosecond/picosecond (fs/ps) coherent anti-Stokes Raman scattering (CARS) allows for non-intrusive, spatially-resolved, collision-free thermometry at kHz repetition rates with high precision and accuracy. </p> <p>The goal of this thesis is to advance hybrid fs/ps CARS for extension to high-speed flows, with particular improvements to the spatial extent, probe characteristics, and precision of the technique. A novel method for multipoint measurements in a simple and effective optical arrangement is demonstrated, enabling single-shot and averaged measurements of temperature and O₂/N₂ concentration along a linear array of probe volumes. The generation of a variable-pulsewidth probe beam by a ps slicer, electro-optic modulator, fiber amplifier, and custom narrowband amplifier system is used for improved signal-to-noise ratios at low pressure. Simultaneous CARS thermometry and femtosecond laser electronic excitation tagging (FLEET) velocimetry are performed in the freestream of Mach 3 and Mach 4 nitrogen flows. These measurements reveal the need to quantify and establish the ultimate precision of the hybrid fs/ps CARS technique. Sources of uncertainty in hybrid fs/ps CARS thermometry are determined through a theoretical uncertainty analysis and the predicted precision of the technique is confirmed experimentally in room temperature nitrogen. Benchtop measurements in a supersonic nozzle are used to indicate spatial and temporal simultaneity between FLEET and CARS measurements and hybrid fs/ps CARS thermometry is performed in a high-speed, low temperature flow.</p>

The aim of this work is to investigate projection operator method of deriva- tion of equations of motion for reduced density matrix and apply it to a model open quantum system. We gradually pass from quantum mechanical model of a molecule with one vibrational degree of freedom to an example of open quantum system relevant in the theory of nonlinear spectroscopy. In the thesis we present results of numerical simulations of the time evolution of the open quantum system performed with a program written for this purpose. We are specially concerned with simulations of the solution of the time-convolutionless generalized master equation up to the a second order of the perturbation expan- sion, and we show that under certain conditions it provides an exact solution of the problem. The text also contains derivation of the recurrence relations for the Franck-Condon factors for the most general case of two quantum harmonic oscillators in one space dimension, i. e. transformation matrix between two bases of the L2 (R) space determined by the solutions of the time-independent Schrödinger equation appropriate for these oscillators. 1

Zur Untersuchung nichtlinearer Reaktionen von kondensierten Materie-Systemen wird die multidimensionale Terahertz-Spektroskopie genutzt. Ein mehrere Oktaven umfassende THz-Quelle, die auf der Frequenzmischung in organischen Kristallen basiert, wird entwickelt und zur Erforschung der Librationsbande von Wasser-Nanotröpfchen in DOPC-Micellen verwendet. Die nichtresonante THz-Strahlung wird genutzt, um die Emission im mittleren Infrarotbereich eines Intersubband-Übergangs von GaAs-Quantentöpfen kohärent zu steuern. Schließlich wird die 2D-THz-Spektroskopie verwendet, um die nichtlineare Antwort einer "soft-mode" in einem Aspirin-Molekül-Kristall zu studieren. / Multidimensional Terahertz spectroscopy is used to investigate the nonlinear response of condensed matter systems. A multioctave-spanning THz source based on frequency mixing in organic crystals is developed and used to study the libration band of water nanodroplets confined in DOPC micelles. Nonresonant THz radiation is used to coherently control the mid-infrared emission of an intersubband transition of GaAs quantum wells. Finally, 2D THz spectroscopy is used to study the nonlinear response of a soft mode in an aspirin molecular crystal.

In the first part of the dissertation, we develop a theoretical approach to analyze nonlinear spectroscopy experiments based on the formalism of quantum state (QST) and process tomography (QPT). In it, a quantum system is regarded as a black box which can be systematically tested in its performance, very much like an electric circuit is tested by sending a series of inputs and measuring the corresponding outputs, but in the quantum sense. We show how to collect a series of pump-probe or photon-echo experiments, and by varying polarizations and frequency components of the perturbations, reconstruct the quantum state (density matrix) of the probed system for a set of different initial conditions, hence simultaneously achieving QST and QPT. Furthermore, we establish the conditions under which a set of two-dimensional optical spectra also yield the desired results. Simulations of noisy experiments with inhomogeneous broadening show the feasibility of the protocol. A spin-off of this work is our suggestion of a witness that distinguishes between spectroscopic time-oscillations corresponding to vibronic only coherences against their electronic counterparts. We conclude by noting that the QST/QPT approach to nonlinear spectroscopy sheds light on the amount of quantum information contained in the output of an experiment, and hence, is a convenient theoretical and experimental paradigm even when the goal is not to perform a full QPT. In the second part of the thesis, we discuss a methodology to study the electronic dynamics of complex molecular systems, such as photosynthetic units, in the framework of time-dependent density functional theory (TD-DFT). By treating the electronic degrees of freedom as the system and the nuclear ones as the bath, we develop an open quantum systems (OQS) approach to TD-DFT. We formally extend the theoretical backbone of TD-DFT to OQS, and suggest a Markovian bath functional which can be readily included in electronic structure codes.

Se describe la aplicación de pulsos láser ultracortos (≤10fs) en espectroscopía y microscopía de dos fotones llevada a cabo en nuestro grupo de investigación, subrayando las ventajas y requerimientos de este enfoque. Además se presenta una breve descripción de la manipulación de pulsos, de las distorsiones de fase experimentadas por los pulsos láser de femtosegundo y de cómo corregir tales distorsiones utilizando manipuladores de pulsos. / Femtosecond laser pulses in two-photon spectroscopy and microscopy: The application of shaped ultrashort laser pulses (≤10fs) in two-photon spectroscopy and microscopy carried out in our group is  described, highlighting the advantages and requirements of this approach. In addition, a brief description of pulse shaping, phase distortions experienced by femtosecond laser  pulses and how to correct these distortions using a pulse shaper is also presented.

La génération des fréquences somme (SFG), une technique spectroscopique spécifique aux interfaces, a été utilisée pour caractériser les changements de la structure macromoléculaire du surfactant cationique chlorure de dodécyltriméthylammonium (DTAC) à l’interface silice/eau dans une plage de pH variant entre 3 et 11. Les conditions expérimentales ont été choisies pour imiter les conditions les plus communes trouvées pendant les opérations de récupération assistée du pétrole. Particulièrement, la silice a été étudiée, car elle est un des composantes des surfaces minérales des réservoirs de grès, et l’adsorption du surfactant a été étudiée avec une force ionique pertinente pour les fluides de la fracturation hydraulique. Les spectres SFG ont présenté des pics détectables avec une amplitude croissante dans la région des étirements des groupes méthylène et méthyle lorsque le pH est diminué jusqu’à 3 ou augmenté jusqu’à 11, ce qui suggère des changements de la structure des agrégats de surfactant à l’interface silice/eau à une concentration de DTAC au-delà de la concentration micellaire critique. De plus, des changements dans l’intensité SFG ont été observés pour le spectre de l’eau quand la concentration de DTAC augmente de 0,2 à 50 mM dans les conditions acide, neutre et alcaline. À pH 3, près du point de charge zéro de la surface de silice, l’excès de charge positive en raison de l’adsorption du surfactant cationique crée un champ électrostatique qui oriente les molécules d’eau à l’interface. À pH 7 et 11, ce qui sont des valeurs au-dessus du point de charge zéro de la surface de silice, le champ électrostatique négatif à l’interface silice/eau diminue par un ordre de grandeur avec l’adsorption du surfactant comme résultat de la compensation de la charge négative à la surface par la charge positive du DTAC. Les résultats SFG ont été corrélés avec des mesures de l’angle de contact et de la tension interfaciale à pH 3, 7 et 11. / Sum Frequency Generation (SFG), an interface specific spectroscopic technique, was used to characterize the changes in the macromolecular structure of the cationic surfactant dodecyltrimethylammonium chloride (DTAC) at the silica/water interface at pH values ranging from 3 to 11. The experimental conditions were selected to mimic conditions common during enhanced oil recovery operations. In particular, silica was studied since it is one of the most abundant mineral components of sandstone reservoirs, and surfactant adsorption was studied at an ionic strength (100 mM NaCl) relevant to hydraulic fracturing fluids. SFG spectra showed detectable peaks with increasing amplitude in the methylene and methyl stretching region when the pH was lowered to 3 or increased to 11, suggesting changes in the surfactant aggregate structure at the silica/water interface at a DTAC concentration above the critical micelle concentration. In addition, changes in the SFG intensity were observed for the water spectrum when increasing the DTAC concentration from 0.2 to 50 mM under acidic, neutral or alkaline conditions. At pH 3, near the point of zero charge of the silica surface, the excess positive charge due to adsorption of the cationic surfactant creates an electrostatic field that orients water molecules at the interface. At pH 7 and 11, which are above the point of zero charge of the silica surface, the negative electrostatic field at the silica/water interface decreases in magnitude with surfactant adsorption due to compensation of the negative surface charge by the positively charged DTAC. The SFG results were correlated with contact angle and interfacial tension measurements at pH 3, 7 and 11.

Un des problèmes à résoudre lors de la réalisation d'un endoscope non linéaire pour des applications biomédicales concerne la propagation d'impulsions ultra courtes dans une fibre optique. Les processus non linéaires concernés nécessitent de grandes puissances d'excitation, réalisables seulement pour des impulsions de très courte durée qui sont déformés et allongés par la dispersion et les non linéarités des fibres. La plupart des techniques d'illumination fibrées pour la microscopie non linéaire emploient des systèmes de pré-compensation pour neutraliser les effets de ces phénomènes. Dans ce travail, nous explorons les possibilités offertes par la formation de solitons de grande énergie dans une fibre à bandes interdites photoniques à coeur solide. Les solitons optiques ont la propriété de conserver leur forme lors de leur propagation, et leur durée reste proche de la valeur minimum définie par la limite physique imposée par leur largeur spectrale, sans avoir besoin de recourir à un système de pré-compensation. De plus, la longueur d'onde et le retard relatif des solitons peuvent être accordés en changeant la puissance lumineuse en entrée de fibre. Plusieurs sources de lumière ont été conçues et réalisées, pour générer de nombreux contrastes non linéaires. Des images d'échantillons biologiques ont d'abord été réalisées en tirant profit de la courte durée des solitons. Puis, des mesures d'absorption transitoire ont été menées dans une configuration pompe-sonde en contrôlant le retard des solitons dans la fibre. Enfin, un montage de CRS basé sur le principe de focalisation spectrale a été réalisé, et son utilité a été démontrée en suivant un équilibre chimique. / One of the issues that has to be overcome to realize a nonlinear endoscope for biomedical applications is the propagation of ultra-short pulses in an optical fiber. Nonlinear processes require high peak powers in the focal volume in order to generate observable signals, so the pulses should be as short as possible. This makes them sensitive to the dispersion and nonlinearities of the fibers. Most of the existing techniques of ultra-short pulses fiber-delivery rely on complex pre-compensation systems to counteract these effects. In this work, we explore the possibilities offered by the generation of high-energy solitons in a custom-built solid-core photonic bandgap fiber, for nonlinear microscopy and spectroscopy. Optical solitons preserve their shape when they propagate in a fiber, and their duration remains close to the minimum value physically allowed by their bandwidth, without the need of any pre-compensation. Moreover, the wavelength and delay of the soliton can be tuned by changing the power at the input of the fiber. Several soliton-based light sources were designed and realized, generating contrast in the most prevalent nonlinear microscopy modalities. TPEF and SHG images of biological samples were first realized by taking advantage of the short duration of the solitons. By controlling the delay of the soliton, transient absorption measurements were then realized in a pump-probe configuration. Finally, the wavelength tunability of the soliton was used to generate the Stokes beam in a CRS setup based on the spectral focusing technique. The capabilities of this scheme were demonstrated by performing CRS microspectroscopy to monitor a chemical equilibrium.

O uso de materiais orgânicos em dispositivos eletrônicos, além de menor custo e facilidade de processamento, permite obter flexibilidade e transparência. Entretanto, para que a aplicação comercial desses materiais seja viável, os processos que ocorrem nos dispositivos ainda precisam ser mais bem compreendidos, visando maior eficiência e tempo de vida. É de grande importância o estudo das interfaces entre o semicondutor orgânico e os contatos metálicos, onde ocorre transferência de portadores de carga, e a interface com o dielétrico em transistores orgânicos (OFETs), onde se forma o canal de condução. As interfaces de dispositivos eletrônicos poliméricos foram estudadas, utilizando-se Espectroscopia SFG (do inglês Sum Frequency Generation). Esta técnica obtém um sinal com a soma das frequências de dois feixes incidentes sobrepostos, em um processo seletivo a meios onde não há simetria de inversão, como no caso de interfaces. Com aplicação de um feixe de excitação na região visível e outro sintonizável no infravermelho médio, a espectroscopia SFG fornece um espectro vibracional da interface e permite o estudo do ordenamento e da orientação dos grupos moleculares. Foram construídos e analisados OFETs de poli-3-hexiltiofeno (P3HT) preparados sobre substrato de vidro ou silício, utilizando como isolante óxido de silício e/ou poli-metil-metacrilato (PMMA). Foram obtidos espectros in situ do canal de OFETs em operação, observando pequenas alterações na forma de linha, porém a baixa relação sinal/ruído não permitiu obter conclusões detalhadas. Foi constatada a manifestação de bandas da camada isolante de PMMA como consequência da aplicação de campo elétrico. Este fenômeno foi considerado como uma nova ferramenta para estudar a distribuição de cargas e campo elétrico no canal de transistores. Não foram detectados sinais de degradação irreversível no polímero semicondutor a curto prazo, e a mudança de comportamento elétrico foi atribuída majoritariamente a dopagem por oxigênio absorvido no material. / The usage of organic materials in electronic devices allows not only low cost and ease of processing but also flexibility and transparency. However, to achieve viable commercial application, the processes involved on the devices operation must still be better comprehended, aiming for improved efficiency and life time. There is great importance in the study of the interfaces between organic semiconductors and metallic contacts, where charge transfer takes place, and between the dielectric and semiconductor layers of organic transistors (OFETs), where the conducting channel is formed. The interfaces in polymeric electronic devices were studied by SFG spectroscopy (Sum Frequency Generation). In this technique, a signal with frequency that equals the sum of those of two incident beams is generated in a process only allowed in media without inversion symmetry, such as interfaces. Using a visible excitation beam and a tunable infrared one, SFG spectroscopy yields a vibrational spectrum of the interface and provides information about the conformation and orientation of molecular groups. Poly-3-hexylthiophene (P3HT) OFETs were fabricated using glass or silicon substrates and silicon oxide and/or poly-methyl-methacrylate (PMMA) for the dielectric layer. SFG spectra were acquired in situ from the channel region of operating OFETs, observing small changes in lineshape, but low signal-to-noise ration did not allow a detailed interpretation. It was found that PMMA vibrational bands appeared when polarizing the device. This phenomenon was considered a new tool for studying the electric field and charge distribution along transistor channels. It was not noted any sign of short term irreversible degradation of the semiconducting polymer, and the change in the electrical behavior was attributed mainly to doping of the polymer by oxygen absorbed in the material.

O uso de materiais orgânicos em dispositivos eletrônicos, além de menor custo e facilidade de processamento, permite obter flexibilidade e transparência. Entretanto, para que a aplicação comercial desses materiais seja viável, os processos que ocorrem nos dispositivos ainda precisam ser mais bem compreendidos, visando maior eficiência e tempo de vida. É de grande importância o estudo das interfaces entre o semicondutor orgânico e os contatos metálicos, onde ocorre transferência de portadores de carga, e a interface com o dielétrico em transistores orgânicos (OFETs), onde se forma o canal de condução. As interfaces de dispositivos eletrônicos poliméricos foram estudadas, utilizando-se Espectroscopia SFG (do inglês Sum Frequency Generation). Esta técnica obtém um sinal com a soma das frequências de dois feixes incidentes sobrepostos, em um processo seletivo a meios onde não há simetria de inversão, como no caso de interfaces. Com aplicação de um feixe de excitação na região visível e outro sintonizável no infravermelho médio, a espectroscopia SFG fornece um espectro vibracional da interface e permite o estudo do ordenamento e da orientação dos grupos moleculares. Foram construídos e analisados OFETs de poli-3-hexiltiofeno (P3HT) preparados sobre substrato de vidro ou silício, utilizando como isolante óxido de silício e/ou poli-metil-metacrilato (PMMA). Foram obtidos espectros in situ do canal de OFETs em operação, observando pequenas alterações na forma de linha, porém a baixa relação sinal/ruído não permitiu obter conclusões detalhadas. Foi constatada a manifestação de bandas da camada isolante de PMMA como consequência da aplicação de campo elétrico. Este fenômeno foi considerado como uma nova ferramenta para estudar a distribuição de cargas e campo elétrico no canal de transistores. Não foram detectados sinais de degradação irreversível no polímero semicondutor a curto prazo, e a mudança de comportamento elétrico foi atribuída majoritariamente a dopagem por oxigênio absorvido no material. / The usage of organic materials in electronic devices allows not only low cost and ease of processing but also flexibility and transparency. However, to achieve viable commercial application, the processes involved on the devices operation must still be better comprehended, aiming for improved efficiency and life time. There is great importance in the study of the interfaces between organic semiconductors and metallic contacts, where charge transfer takes place, and between the dielectric and semiconductor layers of organic transistors (OFETs), where the conducting channel is formed. The interfaces in polymeric electronic devices were studied by SFG spectroscopy (Sum Frequency Generation). In this technique, a signal with frequency that equals the sum of those of two incident beams is generated in a process only allowed in media without inversion symmetry, such as interfaces. Using a visible excitation beam and a tunable infrared one, SFG spectroscopy yields a vibrational spectrum of the interface and provides information about the conformation and orientation of molecular groups. Poly-3-hexylthiophene (P3HT) OFETs were fabricated using glass or silicon substrates and silicon oxide and/or poly-methyl-methacrylate (PMMA) for the dielectric layer. SFG spectra were acquired in situ from the channel region of operating OFETs, observing small changes in lineshape, but low signal-to-noise ration did not allow a detailed interpretation. It was found that PMMA vibrational bands appeared when polarizing the device. This phenomenon was considered a new tool for studying the electric field and charge distribution along transistor channels. It was not noted any sign of short term irreversible degradation of the semiconducting polymer, and the change in the electrical behavior was attributed mainly to doping of the polymer by oxygen absorbed in the material.

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.