Third-harmonic generation (THG) is a fundamental nonlinear optical process that has been used in different applications such as third-order nonlinear materials characterization and nonlinear microscopy. It is widely employed since the third-order nonlinearity is the most important in isotropic materials and THG occurs in all media regardless of symmetry. In the tightly focused laser beam condition THG is observed only at the materials interfaces, where the focal symmetry is broken due to the presence of two media with different refractive index and/or third-order susceptibilities. Measuring slabs of different types of optical glasses, using femtosecond laser pulses, we could explain the asymmetric THG intensity profile observed at the interfaces. The harmonic generated at the exit interface is systematically stronger than the one generated at the entrance and this phenomenon can be understood by taking into account the presence of self-focusing effects. Basically, the self-focusing reduces the beam waist radius at the exit interface, resulting in greater laser irradiance and, consequently, higher THG. This study was then extended to the interfaces of a cuvette filled with organic solvents. Such systems present four interfaces and a mixture of nonlinear processes contributions since the cuvette walls present only electronic nonlinearity and the solvents present both electronic and orientational ones. In this way, the solvents may present an additional self-focusing contribution and, due to the noninstantaneous nature of the orientational process, the self-focusing from the solvent may be influenced by the pulse duration. In this case, the THG, which is an instantaneous electronic phenomenon, can be indirectly affected by pulse duration by means of the self-focusing effect. Usually, the slow orientational contribution is not considered for materials characterization by THG which may lead to incorrect nonlinear coefficient values, that means our study is important from the fundamental physics point of view and also for applications such as materials characterization. Based on the application of THG in nonlinear microscopy, we also present a microscopy technique which makes use of spatial frequency-modulated imaging (SPIFI) with single element detection. The microscope was developed at Colorado School of Mines (CSM) during an internship. The system uses a spatial light modulator (SLM) to provide the spatial frequency modulation and permits enhanced resolution images. THG SPIFI images are shown for the first time and we also report images obtained by other nonlinear optical process. In summary, the studies presented in this PhD work are of great importance for THG fundamental understanding, materials characterization and nonlinear optical microscopy. / Geração de terceiro harmônico (GTH) é um processo óptico não linear fundamental que tem sido usado em diferentes aplicações, como em caracterização óptica não linear de materiais e microscopia não linear. Ele é amplamente empregado uma vez que a não linearidade de terceira ordem é a mais importante em materiais isotrópicos e GTH ocorre em todos os meios independente da simetria. Na condição de feixe fortemente focalizado a GTH é observada apenas nas interfaces do material, onde a simetria focal é quebrada devido à presença de dois meios com diferentes índices de refração e/ou susceptibilidades de terceira ordem. Medindo lâminas de diferentes tipos de vidros ópticos, com pulsos de laser de femtossegundos, nós explicamos o perfil assimétrico de intensidade de GTH observado nas interfaces. O harmônico gerado na interface de saída é sistematicamente mais intenso do que o gerado na entrada e este fenômeno pode ser entendido levando-se em conta a presença do efeito de autofocalização. Basicamente, a autofocalização reduz a cintura do feixe na interface de saída do material, resultando em uma maior irradiância e, consequentemente, maior GTH. Este estudo foi estendido para o caso de interfaces de uma cubeta preenchida com diferentes solventes orgânicos. Tais sistemas apresentam quatro interfaces e uma mistura na contribuição dos processos não lineares, dado que as paredes da cubeta apresentam apenas não linearidade eletrônica e os solventes podem apresentar não linearidades tanto eletrônicas quanto orientacionais. Neste sentido, os solventes podem apresentar uma contribuição adicional de autofocalização e, devido à natureza não instantânea do processo orientacional, a autofocalização proveniente do solvente pode ser influenciada pela duração do pulso. Neste caso, a GTH, que é um fenômeno eletrônico (instantâneo), pode ser indiretamente afetada pela duração do pulso por meio do efeito de autofocalização. Usualmente, a contribuição orientacional não é considerada na caracterização de materiais por GTH, o que pode levar à valores incorretos para os coeficientes não lineares, o que significa que nosso estudo é importante do ponto de vista de física fundamental como também em aplicações como caracterização de materiais. Por conta da aplicação da GTH em microscopia não linear, apresentamos também nesta tese uma técnica de microscopia, que baseia-se em uma modulação em frequência espacial para imageamento (SPIFI) com uso de um detector de elemento único. O microscópio foi desenvolvido na Colorado School of Mines (CSM) durante um período de estágio. O sistema utiliza um modulador espacial de luz (SLM) para produzir a modulação em frequência espacial e permite obtenção de imagens em alta resolução. Imagens por GTH SPIFI são mostradas pela primeira vez e também apresentamos imagens obtidas por outros processos ópticos não lineares. Em resumo, os estudos apresentados neste trabalho de doutorado são de grande importância para o entendimento fundamental do processo de GTH, caracterização de materiais e microscopia óptica não linear.

Third-harmonic generation (THG) is a fundamental nonlinear optical process that has been used in different applications such as third-order nonlinear materials characterization and nonlinear microscopy. It is widely employed since the third-order nonlinearity is the most important in isotropic materials and THG occurs in all media regardless of symmetry. In the tightly focused laser beam condition THG is observed only at the materials interfaces, where the focal symmetry is broken due to the presence of two media with different refractive index and/or third-order susceptibilities. Measuring slabs of different types of optical glasses, using femtosecond laser pulses, we could explain the asymmetric THG intensity profile observed at the interfaces. The harmonic generated at the exit interface is systematically stronger than the one generated at the entrance and this phenomenon can be understood by taking into account the presence of self-focusing effects. Basically, the self-focusing reduces the beam waist radius at the exit interface, resulting in greater laser irradiance and, consequently, higher THG. This study was then extended to the interfaces of a cuvette filled with organic solvents. Such systems present four interfaces and a mixture of nonlinear processes contributions since the cuvette walls present only electronic nonlinearity and the solvents present both electronic and orientational ones. In this way, the solvents may present an additional self-focusing contribution and, due to the noninstantaneous nature of the orientational process, the self-focusing from the solvent may be influenced by the pulse duration. In this case, the THG, which is an instantaneous electronic phenomenon, can be indirectly affected by pulse duration by means of the self-focusing effect. Usually, the slow orientational contribution is not considered for materials characterization by THG which may lead to incorrect nonlinear coefficient values, that means our study is important from the fundamental physics point of view and also for applications such as materials characterization. Based on the application of THG in nonlinear microscopy, we also present a microscopy technique which makes use of spatial frequency-modulated imaging (SPIFI) with single element detection. The microscope was developed at Colorado School of Mines (CSM) during an internship. The system uses a spatial light modulator (SLM) to provide the spatial frequency modulation and permits enhanced resolution images. THG SPIFI images are shown for the first time and we also report images obtained by other nonlinear optical process. In summary, the studies presented in this PhD work are of great importance for THG fundamental understanding, materials characterization and nonlinear optical microscopy. / Geração de terceiro harmônico (GTH) é um processo óptico não linear fundamental que tem sido usado em diferentes aplicações, como em caracterização óptica não linear de materiais e microscopia não linear. Ele é amplamente empregado uma vez que a não linearidade de terceira ordem é a mais importante em materiais isotrópicos e GTH ocorre em todos os meios independente da simetria. Na condição de feixe fortemente focalizado a GTH é observada apenas nas interfaces do material, onde a simetria focal é quebrada devido à presença de dois meios com diferentes índices de refração e/ou susceptibilidades de terceira ordem. Medindo lâminas de diferentes tipos de vidros ópticos, com pulsos de laser de femtossegundos, nós explicamos o perfil assimétrico de intensidade de GTH observado nas interfaces. O harmônico gerado na interface de saída é sistematicamente mais intenso do que o gerado na entrada e este fenômeno pode ser entendido levando-se em conta a presença do efeito de autofocalização. Basicamente, a autofocalização reduz a cintura do feixe na interface de saída do material, resultando em uma maior irradiância e, consequentemente, maior GTH. Este estudo foi estendido para o caso de interfaces de uma cubeta preenchida com diferentes solventes orgânicos. Tais sistemas apresentam quatro interfaces e uma mistura na contribuição dos processos não lineares, dado que as paredes da cubeta apresentam apenas não linearidade eletrônica e os solventes podem apresentar não linearidades tanto eletrônicas quanto orientacionais. Neste sentido, os solventes podem apresentar uma contribuição adicional de autofocalização e, devido à natureza não instantânea do processo orientacional, a autofocalização proveniente do solvente pode ser influenciada pela duração do pulso. Neste caso, a GTH, que é um fenômeno eletrônico (instantâneo), pode ser indiretamente afetada pela duração do pulso por meio do efeito de autofocalização. Usualmente, a contribuição orientacional não é considerada na caracterização de materiais por GTH, o que pode levar à valores incorretos para os coeficientes não lineares, o que significa que nosso estudo é importante do ponto de vista de física fundamental como também em aplicações como caracterização de materiais. Por conta da aplicação da GTH em microscopia não linear, apresentamos também nesta tese uma técnica de microscopia, que baseia-se em uma modulação em frequência espacial para imageamento (SPIFI) com uso de um detector de elemento único. O microscópio foi desenvolvido na Colorado School of Mines (CSM) durante um período de estágio. O sistema utiliza um modulador espacial de luz (SLM) para produzir a modulação em frequência espacial e permite obtenção de imagens em alta resolução. Imagens por GTH SPIFI são mostradas pela primeira vez e também apresentamos imagens obtidas por outros processos ópticos não lineares. Em resumo, os estudos apresentados neste trabalho de doutorado são de grande importância para o entendimento fundamental do processo de GTH, caracterização de materiais e microscopia óptica não linear.

Dans le cadre des études sur l’endommagement laser liées au projet Mégajoule, nous analysons le couplage entre l’auto-focalisation induite par effet Kerr et la rétrodiffusion Brillouin stimulée pour des impulsions de durée nanoseconde se propageant dans des échantillons de silice. L’influence de la puissance d’entrée, des modulations de phase ou d’amplitude ainsi que la forme spatiale du faisceau sur la dynamique de filamentation est discutée. Nous montrons qu’une modulation d’amplitude appropriée divisant l’impulsion incidente en train d’impulsions de l’ordre de la dizaine de picosecondes supprime l’effet Brillouin pour toute puissance incidente mais réduit notablement la puissance laser disponible. A l’inverse, des impulsions modulées en phase avec une largeur spectrale comparable peuvent subir de la filamentation multiple et une auto-focalisation à distance plus courte causées par des instabilités modulationnelles. Nous démontrons cependant l’existence d’une largeur spectrale critique à partir de laquelle la rétrodiffusion peut être radicalement inhibée par une modulation de phase, même pour des fortes puissances. Cette observation reste valide pour des faisceaux de forme carrée avec des profils spatiaux plus larges, qui s’auto-focalisent beaucoup plus rapidement et se brisent en filaments multiples sur de courtes distances. L’inclusion de la génération de plasma pour limiter la croissance des ondes pompe et Stokes est finalement abordée. / As part of the studies on laser damage linked to the Megajoule project, we analyze the coupling between the Kerr induce self-focusing and the stimulated Brillouin backscattering pour nanosecond optical pulses propagating in silica samples. The influence of the incident power, phase or amplitude modulations as well as the spatial profile of the pulse of the filamentation dynamic is discussed. We show that an appropriate amplitude modulation dividing the incident pulse in pulse trains of picosecond durations suppresses the Brillouin effect for any incident power but noticeably reduces the available average laser power. On the contrary, phase modulated pulses with a comparable spectral width can undergo multiple filamentation and self-focusing at a shorter distance, caused by modulational instabilities. We demonstrate however the existence of a critical spectral bandwidth from which the backscattering can be radically inhibited by a phase modulation, even for high powers. This conclusion remains valid for spatially broader squared pulses, which self-focus earlier and break into multiple filaments at shorter distances. The inclusion of plasma generation to limit the growth of pump and Stokes waves is finally addressed.

La fatigue du seuil d’endommagement laser dans la silice fondue a été largement étudiée au cours des dernières années, car ce phénomène est directement lié à la durée de vie des matériaux optiques utilisés dans des applications laser, le plus souvent à forte puissance. En effet, dans l’UV, on observe une décroissance du seuil d’endommagement laser quand le nombre de tirs laser augmente. Ce phénomène a été attribué pour ce couple longueur d’onde-matériau à des modifications laser-induites dans le matériau. Sous irradiation laser multiple à 266 nm, en utilisant des impulsions nanosecondes de densité d’énergie constante, nous avons observé que le signal de photoluminescence est modifié jusqu’à l’endommagement. A partir de cela, nous proposons une nouvelle représentation des données expérimentales qui permet de prédire l’apparition d’un endommagement dans le matériau. Cette prédiction réalisée à partir du signal de fluorescence et non de la statistique d’endommagement utilisée jusque-là, permet une économie significative de surface de composant et du temps d’expérience. Afin d’étendre l’intérêt de l’étude à un plus grand nombre d’applications, une extension des résultats à la longueur d’onde de 355 nm est proposée. Nous proposons un modèle où l’endommagement dans la silice fondue sous irradiation multiple à 266 nm est causé par une accumulation de modifications laser-induites induisant de l’autofocalisation non-linéaire. Afin d’essayer de généraliser la méthode de diagnostic de la fatigue par fluorescence, nous avons aussi réalisé des tests préliminaires sur des cristaux optiques non-linéaires bien connus comme le LBO ou le KDP. / Fatigue effects in fused silica have been largely studied in the past years, as this phenomenon is directly linked to the lifetime of high power photonic materials. Indeed, in the UV regime, we observe a decrease of the LIDT (Laser-Induced Damage Threshold) when the number of laser shots increases and this has been attributed for this couple wavelength/material to laser-induced material modifications. Under 266 nm laser irradiation, with nanosecond pulses of constant fluence, we observed that the photoluminescence is modified until damage occurs. Based on this observation, we propose a new representation of the experimental S-on-1 breakdown data which allows predicting the occurrence of material breakdown. This prediction, based on fluorescence signal and not damage statistics (presently widely used) allows consuming fewer sample surface and saving time. To extend the interest of the study to many more applications, we propose an extension of the results at 355 nm. We suppose that damage is caused in our fused silica samples by accumulation of laser-induced modifications under multiple-pulse UV irradiation inducing catastrophic non-linear self-focusing. In order to try to extend the fatigue diagnostic method by fluorescence, we have also realized preliminary tests in well-known non-linear crystals like LBO and KDP.

Dans cette thèse, nous étudions l’influence d’un plasma non-stationnaire produit par des impulsions laser en régime d’auto-focalisation. Cette auto-focalisation est couplée à des non-linéarités Brillouin pour des impulsions nanosecondes dans les verres de silice. Elle excite différents canaux d’ionisation dans les cristaux de KDP irradiées par des impulsions femtosecondes. Tout d’abord, nous dérivons les équations de propagation des ondes optiques laser et Stokes sujettes à la filamentation due à l’effet Kerr, la rétrodiffusion Brillouin et à la génération de plasma. Dans une deuxième partie, nous présentons des résultats numériques sur la propagation non-linéaire de faisceaux LIL. Ceux-ci révèlent l’importance de la distribution temporelle de l’impulsion pompe dans la compétition entre auto-compression Kerr et la rétrodiffusion Brillouin stimulée. Ces simulations préliminaires permettent de valider le système anti-Brillouin opté pour le LMJ sur la base de faisceaux millimétriques.Dans une troisième partie, nous présentons des résultats théoriques et numériques sur la filamentation d’impulsions nanosecondes opérant dans l’ultraviolet et l’infrarouge. L’influence d’un plasma inertiel sur la dynamique de couplage de deux ondes en contre-propagation est examinée. Dans une configuration à une onde, une analyse variationnelle reproduit les caractéristiques globales d’un équilibre quasi-stationnaire entre auto-compression Kerr et défocalisation plasma. Toutefois, cet équilibre cesse pour faire place à des instabilités modulationnelles induites par rétroaction du plasma sur l’onde de pompe. Nous montrons que des modulations de phase supprimant la rétrodiffusion Brillouin permettent d’inhiber ces instabilités plasma. La robustesse de ces modulations de phase est testée en présence d’un bruit aléatoire dans le profil de  l’impulsion laser.Enfin, nous étudions numériquement la dynamique non-linéaire d’impulsions femtosecondes se propageant dans la silice et le KDP. Premièrement, nous montrons que la présence de défauts impliquant moins de photons pour exciter un électron de la bande de valence à la bande de conduction promeut des intensités de filamentation plus élevées. Ensuite, nous comparons la dynamique de filamentation dans la silice avec celle dans un cristal KDP. Le modèle d’ionisation pour le KDP prend en compte la présence de défauts et la dynamique électrons-trous. Nous montrons que la dynamique de propagation dans la silice et le KDP présente des analogies remarquables pour des rapports de puissance incidente sur puissance critique équivalents.La conclusion nous permet de résumer les résultats originaux obtenus dans le cadre de cette thèse et d’en discuter des développements ultérieurs possibles. / In this thesis, we study the role of an inertial plasma reponse produced by laser pulses in self-focusing regime. Self-focusing is coupled with Brillouin nonlinearities for nanosecond pulses in silica glasses. For femtosecond pulses propagating in KDP crystals, self-focusing excites various ionization chanels. First of all, we derive the propagation equations for the pump and Stokes waves, subjected to filamentation due to optical Kerr effect, stimulated Brillouin scattering and plasma generation. In the second part, we present numerical results on the nonlinear propagation of LIL laser beams. These results show that temporal distribution of the pump pulse play a key role in the competition between self-focusing and stimulated Brillouin scattering. These preliminary results valide the anti-Brillouin system opted on the MegaJoule laser (LMJ) on the basis of milimetric-size laser beam.In a third part, we present numerical and theoretical results on the filamentation in fused silica of nanosecond light pulses operating in ultraviolet and infrared range. Emphasis is put on the action of a dynamical plasma reponse on two counterpropagating waves. For a single wave, we develop a variational analysis which reproduces global propagation features for a quasistationary balance between self-focusing and plasma defocusing. However, such a quasistionary balance ceases to clean up modulational instabilites induced by plasma retroaction on the pump wave. We show that phase modulations supress both simulated Brillouin scattering and plasma instabilities. The robustness of phase modulations is evaluated in presence of random fluctuations in the input pump pulse profile.Finally, we study numerically the nonlinear propagation of femtosecond pulses in fused silica and KDP. First, we show that the presence of defects involving less photons for exciting electrons from the valence band to the conduction band promotes higher filamentation intensity levels. Then, we compare the filamentation dynamic in silica and KDP crystal. The ionization model for KDP crystal takes into account the presence of defects and the electron-hole dynamics. We show that the propagation dynamics in silica and KDP are almost identical at equivalent ratios of input power over the critical power self-focusing.The summary of this thesis recalls the original results obtained and discusses the possibility of future developments.

本研究的目的在整合現今較受重視的認知取向憂鬱理論，探討其因果機制及重要變項，以架構出較折衷的認知性憂鬱因果模式，並以結構方程式模式技術予以驗証。 　　文中共探討了Abramson的無望感理論、Bandura的自我規範論、Beck的自我基模論、Becker的自我貶低論、Ingram自我焦注論、Rehm的自我控制論、Seligman的無助感理論，共歸納出負向事件知覺、因應信念、負向自我基模、自我評估知覺、逆境歸因、個人歸因、無望感、自尊感、認知性憂鬱等九個潛在變項。 　　研究過程中首先分析了不同性別及憂鬱程度的受試者在各個測量變項上的差異情形，並以兩階段的方式進行了理論模式的適配性考驗，再針對考驗結果進行討論，形成進一步的假設，並提出理論架構、研究方法、實際應用上的建議，最後說明本研究面臨之限制，以及後續研究可改進方向。 　　下面是本研究主要的研究結論： 　　一、女性大學生較男性大學生的憂鬱程度為高，且具有憂鬱現象的人數也較多；男性則在個人自我意識上較女性強。 　　二、高憂鬱組在偏差態度、過度類化、完美主義、特質歸因、無望感上都較低憂鬱來得高；在問題解決信念、成功預期、自我概念、自尊感上都較低憂鬱組來得低。 　　三、因果模式中被支持的因果關係如下： 　　　（一）負向事件知覺對負向自我基模具有正向的因果關係。 　　　（二）自我評估知覺對因應信念具有正向的因果關係。 　　　（三）因應信念對負向自我基模具有負向的因果關係。 　　　（四）負向自我基模對逆境歸因其有正向的因果關係。 　　　（五）負向自我基模對個人歸因具有正向的因果關係。 　　　（六）因應信念對逆境歸因具有負向的因果關係。 　　　（七）因應信念對個人歸因具有正向的因果關係。 　　　（八）逆境歸因對無望感具有正向的因果關係。 　　　（九）無望感對自尊感具有負向的因果關係。 　　　（十）負向自我基模對認知性憂鬱具有正向的因果關係。 　　四、以八個潛在變項對高低憂鬱組對行區別函數分析，結果正確率達89.61%，其中以無望感、自尊感、逆境歸因、個人歸因等四個變項最有區辨力。 　　五、以探索性因素分析發現，負向歸因風格可區分為三個向度：內在（影響內在歸因、特質歸因、控制歸因）、穩定歸因（影響穩定歸因及控制歸因）、概括歸因；在穩定歸因與概括歸因之間存有正相關。 / Purpose of this thesis was to integrate several depression theories which are mainly focusing on cognitive approach, to argue for the causes-result mechanism of depression and to find the improtant varibles related to depression develepment. the author also wanted to construct prosper frame of cognitive depression. There are seven theories including Abramson's hopelessness theory, Bandura's self-regulation theory, Beck's self-schema Becker's self-degorate theory, Ingram's self-focusing theory, Rehm's self-control theory, and Seligman's helplessness theory was discussed in this thesis, and nine important varibles including depression, negative event perception, coping belief, self-appraival perception, negative self-schema, personal attributional style, aversive attributional style, low

Ο όρος μη γραμμική οπτική (nonlinear optics) αναφέρεται στον κλάδο της φυσικής που μελετά τις μεταβολές που επέρχονται στις οπτικές ιδιότητες της ύλης, όταν αυτή αλληλεπιδρά με ισχυρά ηλεκτρομαγνητικά πεδία. Οι δέσμες λέιζερ (laser) αποτελούν το κατ’ εξοχήν ηλεκτρομαγνητικό πεδίο που χρησιμοποιείται για να προκαλέσει τη μη γραμμική οπτική απόκριση της ύλης, λόγω της ισχυρής ακτινοβολίας. Με την ανακάλυψη του λέιζερ τη δεκαετία του 1960, παράλληλα αναπτύχθηκαν πολλές τεχνικές μέσω των οποίων καθίσταται εφικτός ο προσδιορισμός της μη γραμμικής οπτικής απόκρισης των υλικών. Κίνητρο για αυτή την εκτεταμένη έρευνα αποτελεί το γεγονός ότι υλικά με σημαντική μη γραμμική απόκριση βρίσκουν πολλές εφαρμογές στη φωτονική και την οπτοηλεκτρονική. Ειδικότερα, τέτοια υλικά μπορούν να χρησιμοποιηθούν ως οπτικοί περιοριστές (optical limiters) για την προστασία από υψηλές δέσμες λέιζερ, ως οπτικοί διακόπτες (optical switches), καθώς και ως οπτικές λογικές πύλες (optical logic gates) κ.α. Τα τελευταία χρόνια υπάρχει ιδιαίτερο ερευνητικό ενδιαφέρον στο πεδίο των μοριακών διακοπτών (molecular switches). Ο όρος μοριακός διακόπτης αναφέρεται στην δυνατότητα ύπαρξης ενός μορίου μεταξύ δύο διαφορετικών καταστάσεων, ικανότητα που θα αποτελέσει την αφετηρία για μια λειτουργία “on/off”, σε μοριακό επίπεδο. Υποψήφια μόρια που μπορούν να υποστηρίξουν μια διακοπτική λειτουργία είναι εκείνα που παρουσιάζουν κάτω από ορισμένες συνθήκες αλλαγή σε μια εγγενή ιδιότητά τους, όπως ο φθορισμός, η αγωγιμότητα, η μαγνήτιση, ο στερεο-ισομερισμός, η μη γραμμικότητα κ.α. Σκοπός της παρούσας ειδικής ερευνητικής εργασίας ήταν ο προσδιορισμός της τρίτης τάξης μη γραμμικής οπτικής απόκρισης μοριακών συστημάτων που περιέχουν αζοβενζόλιο, υπό μορφή διαλυμάτων. Τα μόρια αυτά είναι ενδιαφέροντα γιατί αφ’ ενός εμφανίζουν trans/cis ισομερισμό, αφ’ ετέρου παρουσιάζουν μια αλλαγή στη μη γραμμικότητά τους εξαιτίας του φωτο-ισομερισμού του διπλού δεσμού –N=N-. Η δομή της εργασίας έχει ως εξής : Στο πρώτο κεφάλαιο θα γίνει μια περιγραφή της μη γραμμικής αλληλεπίδρασης ύλης-πεδίου, η εξαγωγή της μη γραμμικής κυματικής εξίσωσης, καθώς επίσης και μερικών φυσικών διαδικασιών που περιγράφονται μέσω αυτής. Στο δεύτερο κεφάλαιο θα περιγραφεί η πειραματική τεχνική που ακολουθήθηκε, θα αναφερθούν οι οπτικές παράμετροι που σχετίζονται με τη τρίτης τάξης μη γραμμικότητα και τέλος θα περιγραφεί η διαδικασία ανάλυσης των πειραματικών αποτελεσμάτων. Στο τρίτο κεφάλαιο θα γίνει μια σύντομη περιγραφή της πειραματικής διάταξης καθώς και των κυριότερων οργάνων που την αποτελούν. Στο τέταρτο κεφάλαιο θα παρουσιασθούν τα πειραματικά αποτελέσματα που προέκυψαν από την εργασία. Αρχικά παρουσιάζεται μια σύντομη περιγραφή των μοριακών συστημάτων που μελετήθηκαν. Ακολουθεί η μη γραμμική οπτική απόκριση των συστημάτων για διέγερση με παλμούς χρονικής διάρκειας 35 ps, στα 532 και 1064 nm,και ακολουθεί ο προσδιορισμός της μη μεταβατικής μη γραμμικής απόκρισης για διέγερση με παλμούς διάρκειας 4 ns. Αναφέρονται τα συμπεράσματα από τη μελέτη των συστημάτων και ακολουθεί μια πρόταση για μελλοντική μελέτη. / Extensive research in the field of molecular switches promises a wide variety of switching mechanisms characterized by an eclectic range of intrinsic properties regarding their luminescence, conductivity, magnetic and optical outputs. Because of their controlled alternating properties and the ease of their preparation and modification, molecular switches hold the promise of becoming pivotal components of organic–integrated photonic devices. Among the many available systems, azobenzene dyes represent a particularly promising class of organic switchable materials. The advantage of azobenzene chromophores as molecular switches is based not only on the large geometrical change accompanying the cis–trans isomerization, but also on their photo–stability, and the ease of their preparation and derivatization. In addition, azobenzene chromophores, exhibiting in general large nonlinear optical response, are characterized by an important change in their third-order nonlinear optical response due to the photo-isomerization of the –N=N- double bond. The purpose of this work is hence to describe how the NLO properties of the azobenzene are influenced when surrounded by an always more electron-donating and conjugated environment. In order to do so, we are studying three azobenzene-centered molecules. In two of them, the switch is bonded to two electron-rich groups such as alkylated anilines via either one or two ethynil spacers. In the latter, a Zn-porphyrin was instead linked to the aza-core. The insertion of a porphyrin core was driven by its high polarizability and optical oscillator strength which gives the material remarkable NLO behavior, making it potentially useful for ultra-fast switching technologies. In that view, the nonlinear optical response of these novel azobenzene based molecules dissolved in dichloromethane are studied by means of Z-scan technique using 35 ps laser pulses at 532 and 1064 nm. From the measurements, the nonlinear absorption and refraction and the corresponding third-order susceptibility χ(3) and second hyperpolarizability are determined.

Dans cette thèse on étudie des systèmes d’EDP non linéaires modélisant la propagation électromagnétique dans des milieux de type Kerr. On considère deux modèles. Le premier dit de Kerr-Debye, suppose un temps de réponse non nul du matériau à l’onde électromagnétique. Le second, dit de Kerr, suppose une réponse instantanée. On est ainsi confronté à des systèmes de relaxation tels que définis par Chen-Levermore-Liu (CPAM 1994). Nous établissons ici des résultats d’existence globale de solutions fortes à données petites en 3D pour le problème de Cauchy et un problème mixte. Puis nous construisons des schémas volumes finis asymptotic preserving et nous étudions leurs performances sur des cas physiques. / In this thesis, we study non-linear PDE systems modeling the electromagnetic propagation in Kerr media. We consider two models. The first one is the Kerr-Debye model, it assumes a finite response time of the medium. The second one is the Kerr model, it assumes an instantaneous response. We deal with relaxation systems as defined by Chen-Levermore-Liu (CPAM 1994). For small data, we establish results of global existence of smooth solutions in 3D for the Cauchy problem and the IBVP. Then we investigate asymptotic preserving finite volume schemes and we study their performance on physical cases.

<p>Ultrafast laser-based diagnostic techniques are powerful tools for the detailed understanding of highly dynamic combustion chemistry and physics. The ultrashort pulses provide unprecedented temporal resolution along with high peak power for broad spectral range−ideal for nonlinear signal generation at high repetition rate−with applications including next-generation combustors for gas turbines, plasma-assisted combustion, hypersonic flows and rotating detonation engines. The current work focuses on advancing (i) femtosecond (fs) two-photon laser-induced fluorescence, and (ii) hybrid femtosecond/picosecond vibrational and rotational coherent anti-Stokes Raman scattering (fs/ps RCARS and VCARS) to higher pressures for the first time. </p><p>Quantitative single-laser-shot kHz-rate concentration measurements of key atomic (O-atom) and molecular (CO) species is presented using femtosecond two-photon laser-induced fluorescence (TP-LIF) for a range of equivalence ratios and pressures in diffusion flames. A multitude of signal-interfering sources and loss mechanisms−relevant to high-pressure fs TP-LIF applications−are also quantified up to 20 atm to ensure high accuracy. The pressure scaling of interferences take into account degradation, attenuation and wave-front distortion of the excitation laser pulse; collisional quenching and pressure dependent transition line-broadening and shifting; photolytic interferences; multi-photon ionization; stimulated emission; and radiation trapping. </p><p>Hybrid fs/ps VCARS of N₂ is reported for interference-free temperature measurement at 1300-2300 K in high-pressure, laminar diffusion flames up to 10 atm. A time asymmetric probe pulse allowed for detection of spectrally resolved CARS signals at probe delays as early as ~200-300 fs while being independent of collisions for the full range of pressures and temperatures. Limits of collisional independence, accuracy and precision of the measurement is explored at various probe-pulse delays, pressures and temperatures. </p><p> </p><p>Additionally, a novel all diode-pumped Nd:YAG amplifier design is presented for generation of time-synchronized ps-probe pulses for hybrid fs/ps RCARS of N₂. High-energy, nearly transform-limited, single-mode, chirp-free ps probe-pulses are generated at variable pulsewidths. The detailed architecture and characterization of the laser is presented. kHz-rate RCARS thermometry is presented up to 2400 K. Excellent spatial, spectral, and temporal beam quality allowed for fitting the theoretical spectra with a simple Gaussian model for the probe pulse with temperature accuracies of 1-2%. </p> <p><br></p>