Orientador: Flávio Caldas da Cruz / Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Física Gleb Wataghin / Made available in DSpace on 2018-08-30T22:47:31Z (GMT). No. of bitstreams: 1 Depetri_WilliamIunes_M.pdf: 11907943 bytes, checksum: 4f7cedccb63e0fd32bea356921cb78f6 (MD5) Previous issue date: 2016 / Resumo: Pentes de frequência ópticos têm sido desenvolvidos para medias de precisão e metrologia, mas tabém vêm ganhando interesse para espectroscopia de precisão de banda larga. Pentes ópticos no infravermelho médio são muito atraentes para espectroscopia molecular, dado que eles permitem acesso a fortes bandas vibracionais de gases na chamada "região de digital molecular". Pentes ópticos são uma tecnologia bem desenvolvida no infravermelho próximo, dado a disponibilidade de lasers de Ti:Safira e Er-fiber, e apesar de desenvolvimentos recentes, sua extensão para o infravermelho médion depende de conversão não-linear de frequência. Aqui, pretendemos estudar a greração de pentes ópticos no infravermelho médio via geração de diferença de frequência e amplificação paramétrica óptica do espectro de um oscilador de femtosegundo no infravermelho próximo. Neste trabalho, analizamos numericamente difereça de frequência e amplificação paramétrica para a geração de pentes de frequência ópticos no infravermelho médio resolvendo no domínio do tempo as equações acopladas para o campo elétrico em mistura de três ondas para pulsos ultracurtos. Uma abordagem tradicional é a utilização de quasi-phase matching em cristais periodicamente polados, o que pode ser bastante eficiente, porém apresenta limitações na largura de banda. Nóis investigamos cristais periódicos com um período fixo, e cristais aperiódicos, ou chirped, tanto com chirp contínuo como discreto. Nós comparamos as configurações nas quais a amplificação paramétrica é otimizada ou não, explorando uma analogia entre conversãpo não-linear em sistemas de dois níveis. Nossos resultados são apresentados como gráficos temporais da propagação dos pulsos, seus respectivos espectros e potências ao longo dos cristais, e comparados com resultados experimentais, com o intuito de ajudar experimentos futuros / Abstract: Optical frequency combs (OFC) have been developed for precision measurements and metrology, but have also gained interest for broadband precision spectroscopy. OFC in the mid-infrared (MIR) are very attractive for molecular spectroscopy, since they allow to access the strong vibrational bands of gases in the so-called molecular fingerprint region. OFC are a well-developed technology in the near-infrared, due to the avilability of Ti:Saphire or Er-fiber lasers, and spite of recent developments, their extension into the MIR relies on nonlinear frequency conversion. Here we intend to study the generation of MIR OFC via difference frequency generation (DFG) and optical parametric amplification (OPA) of spectral portions of a near-infrared femtosecond oscillator. In this work, we numerically analyze DFG and OPA for the generation of optical frequency combs in the mid-infrared by solving the time-domain coupled wave equations for the electric fields in three-wave mixing for ultrashort pulses. A traditional approach is to use quasi-phase matching in periodically poled crystals, which can be quite efficient but may have bandwidth limitations.We investigate periodically poled crystals with a single-grating and aperiodic or chirped crystal with either continuous or discrete chirp. We compare the configurations in which a strong pump pulse has higher or smaller wavelength compared to the signal, cases in which the parametric amplification is enhanced or not. We also analyze these results in the context of adiabatic frequency conversion, which explores an analogy between nonlinear conversion and two-level systems. Our results are presented as time plots for the propagation of the pulses, their corresponding spectra and powers along the crystals and are compared to experimental results, and also intended to support further experiments / Mestrado / Física / Mestre em Física / 132987/2014-7 / CNPQ

Pagrindinis šios disertacijos tikslas – sukurti efektyvius trijų ir keturių bangų sąveikomis paremtus metodus ultratrumpiesiems ultravioletinės (UV), artimosios bei vidurinės infraraudonosios (IR) spektro srities impulsams generuoti. Pademonstruota efektyvi Nd:stiklo lazerio harmonikų generacija nekolinearaus keturbangio skirtuminio dažnio žadinimo metodu izotropinėse terpėse. Disertacijoje taip pat eksperimentiškai ir teoriškai nagrinėjama galimybė stiprinti 10 fs trukmės UV impulsus. Pateikėme du metodus derinamo bangos ilgio IR impulsams generuoti naudojant komercinę Ti:safyro lazerio ir nekolinearaus optinio parametrinio stiprintuvo sistemą. Pirmasis metodas remiasi keturių bangų sąveikomis ir leidžia generuoti 20 μJ energijos, <30 fs trukmės impulsus 1−1.5 μm spektro ruože. Antrojo šaltinio veika remiasi skirtuminio dažnio generacijos bei optinio parametrinio stiprinimo sąveikomis BBO kristaluose. Sukurtas stiprintuvas, generuojantis dviejų optinių ciklų trukmės, stabilios gaubtinės fazės, 2 μm bangos ilgio impulsus ir pademonstruotas jo taikymas itin plataus spektro superkontinuumo generacijai plačios draustinės juostos kietojo kūno terpėse. Galiausiai, ištirta vienalaikė trečiosios harmonikos ir superkontinuumo generacija skaidriose dielektrinėse terpėse, bei pasiūlyta netiesinio f-3f interferometro schema impulso gaubtinės fazes fliuktuacijoms matuoti. / In this thesis we investigated and developed three- and four-wave interaction-based frequency conversion methods for ultrashort pulse generation in the ultraviolet (UV), near and mid-infrared (IR) spectral ranges. In particular, efficient generation of Nd:glass laser harmonics was demonstrated experimentally, through noncollinear four-wave difference-frequency mixing in isotropic media. Also, broadband optical parametric amplification in the UV was investigated theoretically and achieved experimentally. The results suggest, that pulses as short as 10 fs could be amplified. We have also developed two methods based on three- and four-wave mixing, that extend the tuning range of a commercial Ti:sapphire laser-NOPA system in the IR. The first method relies on four wave frequency down-conversion, and can achieve up to 20 μJ, sub-30-fs pulses tunable in the 1−1.5 μm range. The second method considers frequency conversion, based on difference frequency generation and optical parametric amplification in BBO crystals. The presented setup delivers two optical-cycle, carrier-envelope phase (CEP)-stable pulses at 2 μm. And finally, we demonstrated supercontinuum generation by filamentation of 20 fs pulses at 2 μm in wide-bandgap solids in the regime of anomalous group velocity dispersion. We also proposed the practical use of intrinsic third harmonic generation, for the CEP stability measurements.

In this thesis we investigated and developed three- and four-wave interaction-based frequency conversion methods for ultrashort pulse generation in the ultraviolet (UV), near and mid-infrared (IR) spectral ranges. In particular, efficient generation of Nd:glass laser harmonics was demonstrated experimentally, through noncollinear four-wave difference-frequency mixing in isotropic media. Also, broadband optical parametric amplification in the UV was investigated theoretically and achieved experimentally. The results suggest, that pulses as short as 10 fs could be amplified. We have also developed two methods based on three- and four-wave mixing, that extend the tuning range of a commercial Ti:sapphire laser-NOPA system in the IR. The first method relies on four wave frequency down-conversion, and can achieve up to 20 μJ, sub-30-fs pulses tunable in the 1−1.5 μm range. The second method considers frequency conversion, based on difference frequency generation and optical parametric amplification in BBO crystals. The presented setup delivers two optical-cycle, carrier-envelope phase (CEP)-stable pulses at 2 μm. And finally, we demonstrated supercontinuum generation by filamentation of 20 fs pulses at 2 μm in wide-bandgap solids in the regime of anomalous group velocity dispersion. We also proposed the practical use of intrinsic third harmonic generation, for the CEP stability measurements. / Pagrindinis šios disertacijos tikslas – sukurti efektyvius trijų ir keturių bangų sąveikomis paremtus metodus ultratrumpiesiems ultravioletinės (UV), artimosios bei vidurinės infraraudonosios (IR) spektro srities impulsams generuoti. Pademonstruota efektyvi Nd:stiklo lazerio harmonikų generacija nekolinearaus keturbangio skirtuminio dažnio žadinimo metodu izotropinėse terpėse. Disertacijoje taip pat eksperimentiškai ir teoriškai nagrinėjama galimybė stiprinti 10 fs trukmės UV impulsus. Pateikėme du metodus derinamo bangos ilgio IR impulsams generuoti naudojant komercinę Ti:safyro lazerio ir nekolinearaus optinio parametrinio stiprintuvo sistemą. Pirmasis metodas remiasi keturių bangų sąveikomis ir leidžia generuoti 20 μJ energijos, <30 fs trukmės impulsus 1−1.5 μm spektro ruože. Antrojo šaltinio veika remiasi skirtuminio dažnio generacijos bei optinio parametrinio stiprinimo sąveikomis BBO kristaluose. Sukurtas stiprintuvas, generuojantis dviejų optinių ciklų trukmės, stabilios gaubtinės fazės, 2 μm bangos ilgio impulsus ir pademonstruotas jo taikymas itin plataus spektro superkontinuumo generacijai plačios draustinės juostos kietojo kūno terpėse. Galiausiai, ištirta vienalaikė trečiosios harmonikos ir superkontinuumo generacija skaidriose dielektrinėse terpėse, bei pasiūlyta netiesinio f-3f interferometro schema impulso gaubtinės fazes fliuktuacijoms matuoti.

Diese Arbeit befasst sich mit der theoretischen Beschreibung nichtlinearer optischer Phänomene in Hinblick auf das (numerische) unstetige Galerkin-Zeitraumverfahren. Insbesondere werden zwei Materialmodelle behandelt: das hydrodynamische Modell für Metalle und das Modell für Raman-aktive Materialien. Im ersten Teil der Arbeit wird das hydordynamische Modell für Metalle unter Verwendung eines störungstheoretischen Ansatzes behandelt. Insbesondere wird dieser Ansatz genutzt, um die nichtlinearen optischen Effekte, Erzeugung zweiter Harmonischer und Summenfrequenzerzeugung, mit Hilfe des unstetigen Galerkin-Verfahrens zu studieren. In diesem Zusammenhang wird demonstriert, wie das optische Signal zweiter Ordnung von Nanoantennen optimiert werden kann. Hierzu wird ein hier erarbeitetes Schema für die Abstimmung des eingestrahten Lichtes angewandt. Zudem führt eine intelligente Wahl des Antennendesigns zu einem optimierten Signal. Im zweiten Teil dieser Arbeit wird das Modell für Raman-aktive Dielektrika behandelt. Genauer wird die nichtlineare Antwort dritter Ordnung für stimulierte Raman-Streuung hergeleitet. Diese wird dazu genutzt, um ein System aus Hilfsdifferentialgleichungen für das unstetige Galerkin-Verfahren zu konstruieren. Die Ergebnisse des erweiterten numerischen Verfahrens werden im Anschluss gezeigt und diskutiert. / This thesis is concerned with the theoretical description of nonlinear optical phenomena with regards to the (numerical) discontinuous Galerkin time-domain (DGTD) method. It deals with two different material models: the hydrodynamic model for metals and the model for Raman-active dielectrics. In the first part, we review the hydrodynamic model for metals, where we apply a perturbative approach to the model. We use this approach to calculate the second-order nonlinear optical effects of second-harmonic generation and sum-frequency generation using the DGTD method. In this context, we will see how to optimize the second-order response of plasmonic nanoantennas by applying a deliberate tuning scheme for the optical excitations as well as by choosing an intelligent nanoantenna design. In the second part, we examine the material model for Raman-active dielectrics. In particular, we see how to derive the third-order nonlinear response by which one can describe the process of stimulated Raman scattering. We show how to incorporate this third-order response into the DGTD scheme yielding a novel set of auxiliary differential equations. Finally, we demonstrate the workings of the modified numerical scheme.

This research investigates the realization of parametric amplification in superconducting circuits and structures where nonlinearity is provided by Josephson junction (JJ) elements. We aim to develop a systematic analysis over JJ-based devices toward design of novel traveling-wave Josephson parametric amplifiers (TW-JPA). Chapters of this thesis fall into three categories: lumped JPA, superconducting periodic structures and discrete Josephson transmission lines (DJTL). The unbiased Josephson junction (JJ) is a nonlinear element suitable for parametric amplification through a four-photon process. Two circuit topologies are introduced to capture the unique property of the JJ in order to efficiently mix signal, pump and idler signals for the purpose of signal amplification. Closed-form expressions are derived for gain characteristics, bandwidth determination, noise properties and impedance for this kind of parametric power amplifier. The concept of negative resistance in the gain formulation is observed. A design process is also introduced to find the regimes of operation for gain achievement. Two regimes of operation, oscillation and amplification, are highlighted and distinguished in the result section. Optimization of the circuits to enhance the bandwidth is also carried out. Moving toward TW-JPA, the second part is devoted to modelling the linear wave propagation in a periodic superconducting structure. We derive closed-form equations for dispersion and s-parameters of infinite and finite periodic structures, respectively. Band gap formation is highlighted and its potential applications in the design of passive filters and resonators are discussed. The superconducting structures are fabricated using YBCO and measured, illustrating a good correlation with the numerical results. A novel superconducting Transmission Line (TL), which is periodically loaded by Josephson junctions (JJ) and assisted by open stubs, is proposed as a platform to realize a traveling-wave parametric device. Using the TL model, this structure is modeled by a system of nonlinear partial differential equations (PDE) with a driving source and mixed-boundary conditions at the input and output terminals, respectively. This model successfully emulates parametric and nonlinear microwave propagation when long-wave approximation is applicable. The influence of dispersion to sustain three non-degenerate phased-locked waves through the TL is highlighted. A rigorous and robust Finite Difference Time Domain (FDTD) solver based on the explicit Lax-Wendroff and implicit Crank-Nicolson schemes has been developed to investigate the device responses under various excitations. Linearization of the wave equation, under small-amplitude assumption, dispersion and impedance analysis is performed to explore more aspects of the device for the purpose of efficient design of a traveling-wave parametric amplifier. Knowing all microwave characteristics and identifying different regimes of operation, which include impedance properties, cut-off propagation, dispersive behaviour and shock-wave formation, we exploit perturbation theory accompanied by the method of multiple scale to derive the three nonlinear coupled amplitude equations to describe the parametric interaction. A graphical technique is suggested to find three waves on the dispersion diagram satisfying the phase-matching conditions. Both cases of perfect phase-matching and slight mismatching are addressed in this work. The incorporation of two numerical techniques, spectral method in space and multistep Adams-Bashforth in time domain, is employed to monitor the unilateral gain, superior stability and bandwidth of this structure. Two types of functionality, mixing and amplification, with their requirements are described. These properties make this structure desirable for applications ranging from superconducting optoelectronics to dispersive readout of superconducting qubits where high sensitivity and ultra-low noise operation is required.