This work derives a nonlinear optical spatio-temporal instability. It is a perturbative analysis that begins from Maxwell’s equations and its constituent relations to derive a vectorial nonlinear wave equation. In fact, it is a new theoretical method that has been developed that builds on previous aspects of nonlinear optics in a more general way. The perturbation in the wave equation derived is coupled with its complex conjugate which has been taken for granted so far. Once decoupled it gives rise to a second-order equation and thus a true instability regime because the wavevector can become complex. The solution obtained for the perturbation that co-propagates with the driving laser is a generalization to modulation and filamentation instability, extending beyond the nonlinear Schrodinger and nonlinear transverse diffusion equations[1][2]. As a result of this new mechanism, new phenomena can be explored. For example, the Kerr Nonlinear Instability can lead to exponential growth, and hence amplification. This can occur even at wavelengths that are typically hard to operate at, such as into far infrared wave- lengths. This provides a mechanism for obtaining amplification in the far infrared from a small seed pulse without the need for population inversion. The analysis provides the basic framework that can be extended to many different avenues. This will be the subject of future work, as outlined in the conclusion of this thesis.

Orientador: Luís Eduardo Evangelista de Araujo / Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Física Gleb Wataghin / Made available in DSpace on 2018-08-18T17:59:31Z (GMT). No. of bitstreams: 1 Carvalho_SilvaniaAlvesde_D.pdf: 4970692 bytes, checksum: f260af26ecacc7e92b1246968850ff9b (MD5) Previous issue date: 2011 / Resumo: Nesta tese apresentamos o estudo teórico de grades de difração induzidas em meios atômicos na condição de transparência induzida eletromagneticamente (EIT). As grades atômicas que serão descritas baseiam-se na não-linearidade Kerr gigante exibida pelos átomos sob EIT. No primeiro estudo realizado, a grade atômica é gerada a partir da modulação da não-linearidade Kerr através de uma onda estacionária. Neste estudo, aplicamos a teoria de ondas acopladas, desenvolvida originalmente para grades acústicas e holográficas, para a grade atômica de modo a obter uma expressão analítica para a eficiência de difração em primeira ordem. Altas eficiências de difração de um feixe de prova ressonante são previstas para incidência próxima ao ângulo de Bragg. Em um segundo estudo, descrevemos uma grade atômica do tipo ¿blazed¿ criada através da inserção de uma máscara de intensidade em um dos feixes responsáveis pela não-linearidade Kerr do meio. Eficiências de difração em primeira ordem para o feixe de prova próximas a 100% foram obtidas. Por último, discutimos uma grade de difração induzida na condição de coerência máxima entre os estados fundamentais de um átomo. Esta grade difrata não somente o feixe de prova incidente, mas também um segundo feixe gerado por mistura de quatro ondas. Apesar desta última grade apresentar eficiência de difração muito menor do que as duas grades anteriores, esta grade pode operar em vários comprimentos de onda diferentes, embora envolva sempre um feixe ressonante com alguma transição atômica. Além da contribuição teórica, trabalhos experimentais relacionados à área de aprisionamento e resfriamento de átomos foram realizados. Inicialmente, um experimento de espectrocopia de fotoassociação próximo ao limite de dissociação em uma amostra de 85Rb é apresentado. Em seguida, uma fonte de laser em 423 nm, formada por um laser de Ti-Sa com dobramento intracavidade através de um cristal LBO, que foi construída e estabilizada é descrita / Abstract: In this thesis we present a theoretical study on induced diffraction gratings in atomic media under electromagnetically induced transparency condition. The atomic gratings which will be described are based on the giant Kerr nonlinearity displayed by the atoms under EIT. In the first study, the atomic grating is generated from the modulation of the Kerr nonlinearity through a stationary wave. In this study, we apply coupled wave theory, originally developed for acoustic and holographic gratings, for an atomic grating in such a way that an analytical expression for the first order diffraction is obtained. High diffraction efficiencies of the resonant probe beam are predicted for incidence near Bragg angle. In a second study, we describe a blazed-type atomic grating created through the insertion of an intensity mask in one of the beam responsible for the Kerr nonlinearity of the medium. First order diffraction for the probe beam near 100% efficiency was observed. Finally, we discuss a diffraction grating induced under maximum coherence condition between the ground states of an atom. This grating diffracts not only the probe beam, but also a second beam generated by four wave mixing. Although this last grating shows a diffraction efficiency much smaller than the previous one, this grating can operate in several wavelengths, although involving a beam resonant with an atomic transition. Besides the theoretical contribution, experimental works related to the cooling and trapping of atoms were implemented. Initially, an experiment of photoassociation spectroscopy near the dissociation limit in a sample of cold rubidium atoms is presented. Following, a homebuilt laser source at 423 nm formed by a Ti-Sapphire laser with intracavity frequency doubling through a LBO crystal that was stabilized is described / Doutorado / Física Atômica e Molecular / Doutora em Ciências

In this paper, we analytically describe the parametric amplification in ring resonators using silicon and silicon nitride waveguides. Achievable gain and bandwidth of the ring-based amplifiers are studied taking into account the Kerr nonlinearity for silicon nitride and Kerr nonlinearity as well as two photon absorption and free carrier absorption for silicon waveguides. Both telecom and 2-μm wavelengths are investigated in case of silicon. An approach for obtaining the optimum amplifier design without initiating the comb generation has been introduced. It is shown that there is a trade-off between the input pump and amplifier bandwidth. It is estimated that using optimum designs an amplifier with a gain and bandwidth of 10 dB and 10 GHz could be feasible with silicon ring resonators in 2 μm.

Orientador: Luís Eduardo Evangelista de Araujo / Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Física Gleb Wataghin / Made available in DSpace on 2018-08-21T04:46:52Z (GMT). No. of bitstreams: 1 BecerraCastro_EmilioManuel_D.pdf: 3066640 bytes, checksum: 3e7ff0e58dae7364f9f6d0b5f37924eb (MD5) Previous issue date: 2012 / Resumo: Neste tese apresentamos um estudo teórico dos efeitos de coerência atómica em vapor atómico com o propósito de estudar teoricamente efeitos óticos não-lineares transversais a baixas intensidades de luz. Sob a condição da transparência induzida eletromagneticamente, um meio atómico pode desenvolver não-linearidades óticas gigantes, possibilitando a observação de efeitos óticos não-lineares a baixas intensidades. Investigamos três efeitos transversais: emissão cónica, focalização induzida e feixes de vórtices induzidos eletromagneticamente. Todos estes três efeitos têm origem na modulação de fase cruzada entre um laser de prova e um laser sinal, ambos fracos, com intensidades abaixo da intensidade de saturação das transições às quais estão acopladas. Em emissão cónica, descrevemos a formação de anéis ao redor de um feixe de prova fraco. No estudo de focalização induzida, descrevemos como que a aplicação de uma máscara de intensidade ao feixe sinal pode levar à formação de lentes GRIN no vapor atómico, induzindo à focalização do laser de prova. Por último, estudamos a conversão do feixe de prova em um feixe de vórtice ótico pela aplicação de uma máscara de intensidade espiral ao feixe sinal / Abstract: In this thesis we present theoretical study of the effects of atomic coherence in atomic vapor for the purpose of studying theoretically transverse nonlinear optical effects at low light levels. Under the conditions of electromagnetically induced transparency, an atomic medium can develop giant optical nonlinearities, allowing the observation of nonlinear optical effects to low intensities. We investigate three transverse effects: conical emission, induced focusing and electromagnetically induced vortices. All three of these effects stem from cross-phase modulation between probe and a signal laser, both weak with intensities below the saturation intensity the transitions to they coupled. In conical emission, we describe the formation of rings around a weak probe beam. In the study of induced focusing, we describe how applying an intensity mask to the signal beam can lead to the formation of GRIN lenses the atomic vapor, leading to focusing of the probe laser. Finally, we studied the conversion of the probe beam into an optical vortex beam by applying a spiral intensity mask to the signal beam / Doutorado / Física / Doutor em Ciências

In the quest for ultrathin materials compatible with CMOS technology for all-optical signal processing applications in integrated photonics, graphene appears to be a promising candidate, with broadband1 optical properties and a high and broadband optical nonlinearity. However, researchers do not agree on the value of its nonlinear refractive index, and commonly used characterization methods do not provide a clear picture of the optical nonlinearity, in terms of its tensor nature or relaxation time. In the first part of this thesis, apart from the previously used Z-scan method, we have also used the ultrafast Optical Kerr Effect method coupled to Optical Heterodyne Detection (OHD-OKE) for the characterization of the third order optical nonlinearity of monolayer CVD graphene at telecom wavelengths. This method allows to separately measure the real and the imaginary part of the third-order nonlinearity, as well as their dynamics. With respect to the Z-scan method, OHD-OKE presents the major advantage of being robust against inhomogeneities of the sample. As such, we have demonstrated that graphene has a negative nonlinear refractive index, contrary to previously reported results. In addition, we have studied the real and imaginary part of graphene’s nonlinearity, when electrostatic gating is applied to change the chemical potential of graphene. Furthermore, we have proposed an enhanced version of the OHD-OKE method, together with the appropriate theoretical framework, in order to extract the tensor elements of the nonlinearity including the out-of-plane tensor elements. In particular, we have measured separately the time response of the two main tensor elements of the nonlinear susceptibility and we have experimentally verified that the out-of-plane tensor components are negligible. In the second part of this thesis, we have investigated, from an experimental point of view, the use of the nonlinear optical response of graphene for all-optical switching applications in integrated photonics. Namely, we have designed simple silicon nitride waveguide structures that constitute basic building blocks of switching devices, which were then fabricated and covered by graphene patches. Finally, we have experimentally tested the graphene-covered structures at low and high power levels and discussed the results. / Doctorat en Sciences de l'ingénieur et technologie / info:eu-repo/semantics/nonPublished

No description available.

V současnosti jsme svědky stále zvyšujících se nároku na rychlost přenosu a zpracování signálu a kapacitu pamet’ových zařízení. Proto se pozornost výzkumných pracovníku zaměřuje k plně optickým zařízením, která by mohla splnit zmíněné požadavky. Jednou z intenzívně zkoumaných možností je využití mikroprstencových optických rezonátoru. Při výzkumu je nutné využít numerických metod, které simulují šíření optického záření v dané struktuře. K tomuto účelu existuje celá rada metod, které se liší v efektivitě výpočtu, použitých aproximacích, i možnostech použití. Cílem této práce bylo vyvinout dvě jednoduché a praktické numerické metody pro modelování šíření pulzního záření v nelineárních vlnovodných strukturách. Přítom bylo požadováno, aby, na rozdíl od obecně známé a často využívané metody konečných diferencí v časové oblasti (FD-TD), bylo možné metody snadno aplikovat při studiu nelineárních struktur založených na mikroprstencových rezonátorech. Proto vyvinuté metody používají některé aproximace, zejména aproximaci pomalu proměnné obálky. Výhodou metod je vysoká rychlost a skromné požadavky na výpočetní zdroje. Obě metody vycházejí ze zkutečnosti, že naprostá většina nelineárních struktur založených na mikroprstencových rezonátorech se skládá ze dvou základních prvku: obyčejných vlnovodu a vlnovodných vazebních clenu. První metoda řeší vázané parciální diferenciální rovnice, které popisují šíření obálky pulzu ve struktuře. Přitom je použito tzv. „up-wind“ schéma vhodné pro parciální diferenciální rovnice popisující šíření vln. Druhá metoda vychází z první; rozdíl je v popisu vazby mezi dvěma vlnovody. Pokud se v první metodě uvažuje realistická vazba rozložená na určité délce, pak druhá metoda je založena na představě vazby nacházející se v jednom místě. Díky tomu je možné integrovat příslušné rovnice a dosáhnout výrazného urychlení výpočtu. Kvazianalytický charakter druhé metody umožňuje dále snadnou klasifikaci různých typu ustálených řešení. Vzhledem k těmto vlastnostem byla druhá metoda využita k výzkumu samovolné generace optických pulzu ve strukturách skládajících se z vázaných prstencových rezonátoru. Obě metody, které byly vyvinuty během této práce, představují rychlé a fyzikálně názorné alternativy k metodě FD-TD, a tak lze očekávat, že mohou hrát důležitou roli při výzkumu nelineárních vlnovodných struktur.