The kinetic effects in an inductively coupled plasma (ICP) due to thermal motion of particles modified by self-consistent magnetic fields are studied by using a particle-in-cell (PIC) simulation. In the low pressure, low frequency regime, electron mean free paths are large relative to device size and the trajectories are strongly curved by the induced radio frequency (RF) magnetic field. This causes problems for linear theories, which ignore the influence of the magnetic field on the particles, and are therefore unable to recover effects accumulated along each nonlinear path.<p>The tools to perform high-performance parallel PIC simulations of inductively coupled plasmas were developed to allow rapid scanning of a broad range of the input parameters, such as wave amplitude, frequency, and plasma temperature. Different behavioural regimes are identified by observing the resultant variations in the skin depth, surface impedance, and ponderomotive force (PMF). At low electron-neutral collision rates, these are shown to include the local collisionless regime, the anomalous skin effect regime, and the nonlinear regime.<p>The local collisionless regime occurs at high driving frequencies and is characterized by plasma behaviour independent of both the driving frequency and amplitude: a short skin depth, low energy absorption, and strong PMF. The anomalous skin effect regime occurs at low frequencies and low amplitudes: the plasma varies with driving frequency, but not driving amplitude, the skin depth increases with frequency, the plasma is much more absorptive in the anomalous regime than in the local regime, and the PMF increases with frequency. The nonlinear regime occurs at low frequencies and high amplitudes: the plasma varies with driving amplitude, but not frequency, the skin depth decreases with amplitude, there is low energy absorption, and the PMF increases with wave amplitude.<p>The simulation runs in four modes: linear collisionless, linear collisional, nonlinear collisionless, and nonlinear collisional. The linear modes, in which the particles ignore the magnetic field, are used to validate the results against theory, while the nonlinear modes are used to test actual plasma behaviour. In linear collisionless mode, the plasma was found to exhibit only the local collisionless and anomalous skin effect regimes, as expected by theories. In nonlinear collisionless mode, the plasma exhibits the nonlinear regime in addition to the regimes found in linear mode. Finally, the nonlinear regime disappears in nonlinear collisionless mode because the curved paths caused by the magnetic field are disrupted by collisions.<p>Finally, the regime boundaries are investigated as a function of temperature. Since the plasma properties vary continuously, a boundary exists where two regimes share the same characteristics. From linear theories, it is known that the division between the local collisionless and anomalous skin effect regimes moves to higher frequencies as the plasma temperature is increased. When nonlinear fields are present, this still occurs, but in conjunction with the boundary between the local collisionless and nonlinear regimes moving to higher wave amplitudes. Temperature also effects the boundary between the anomalous skin effect and nonlinear regimes, causing the minimum frequency of the anomalous skin effect regime to be reduced at low wave amplitudes.

The kinetic effects in an inductively coupled plasma (ICP) due to thermal motion of particles modified by self-consistent magnetic fields are studied by using a particle-in-cell (PIC) simulation. In the low pressure, low frequency regime, electron mean free paths are large relative to device size and the trajectories are strongly curved by the induced radio frequency (RF) magnetic field. This causes problems for linear theories, which ignore the influence of the magnetic field on the particles, and are therefore unable to recover effects accumulated along each nonlinear path.<p>The tools to perform high-performance parallel PIC simulations of inductively coupled plasmas were developed to allow rapid scanning of a broad range of the input parameters, such as wave amplitude, frequency, and plasma temperature. Different behavioural regimes are identified by observing the resultant variations in the skin depth, surface impedance, and ponderomotive force (PMF). At low electron-neutral collision rates, these are shown to include the local collisionless regime, the anomalous skin effect regime, and the nonlinear regime.<p>The local collisionless regime occurs at high driving frequencies and is characterized by plasma behaviour independent of both the driving frequency and amplitude: a short skin depth, low energy absorption, and strong PMF. The anomalous skin effect regime occurs at low frequencies and low amplitudes: the plasma varies with driving frequency, but not driving amplitude, the skin depth increases with frequency, the plasma is much more absorptive in the anomalous regime than in the local regime, and the PMF increases with frequency. The nonlinear regime occurs at low frequencies and high amplitudes: the plasma varies with driving amplitude, but not frequency, the skin depth decreases with amplitude, there is low energy absorption, and the PMF increases with wave amplitude.<p>The simulation runs in four modes: linear collisionless, linear collisional, nonlinear collisionless, and nonlinear collisional. The linear modes, in which the particles ignore the magnetic field, are used to validate the results against theory, while the nonlinear modes are used to test actual plasma behaviour. In linear collisionless mode, the plasma was found to exhibit only the local collisionless and anomalous skin effect regimes, as expected by theories. In nonlinear collisionless mode, the plasma exhibits the nonlinear regime in addition to the regimes found in linear mode. Finally, the nonlinear regime disappears in nonlinear collisionless mode because the curved paths caused by the magnetic field are disrupted by collisions.<p>Finally, the regime boundaries are investigated as a function of temperature. Since the plasma properties vary continuously, a boundary exists where two regimes share the same characteristics. From linear theories, it is known that the division between the local collisionless and anomalous skin effect regimes moves to higher frequencies as the plasma temperature is increased. When nonlinear fields are present, this still occurs, but in conjunction with the boundary between the local collisionless and nonlinear regimes moving to higher wave amplitudes. Temperature also effects the boundary between the anomalous skin effect and nonlinear regimes, causing the minimum frequency of the anomalous skin effect regime to be reduced at low wave amplitudes.

The main goal of the diploma thesis is DWDM simulation of optical network, defined by recommandation ITU-T. Optical network includes 16 communication channels with length of fiber 50 km. Each channel have to be set with bandwith 50GHz and Bit rate with minimal value 10Gbit/s. The final simulation model includes 8 types of modulation techniques. The result of the thesis is comparison modulation techniques in terms of usability of bandwith and comparison of the quality of transfer

Neste trabalho é apresentada uma nova modalidade de imagens elastográficas baseada na emissão acústica, quando um meio é submetido à radiação ultrassônica. Esta técnica está sendo denominada de Acustografia por Pulso/Emissão (APE). Características não-lineares da propagação acústica de ondas ultrassônicas, e a resposta mecânica vibracional, foram utilizadas como artifício para geração de imagens com frequências da ordem de quilohertz (kHz), a partir da excitação com ondas ultrassônicas na ordem de megahertz. Para produzir imagens com essa nova modalidade, simuladores de tecido biológicos foram construídos com diferenças de rigidez localizadas, e submetidos a uma radiação ultrassônica focalizada (MHz). O som emitido devido a interação da onda ultrassônica com a região de interesse era gravado e processado de modo a associar a cada pequena porção do tecido a um valor relacionado a rigidez para a formação da imagem. Os resultados mostraram que o método pode produzir imagens associadas às alterações viscoelásticas das amostras. A resolução espacial mostrou-se fortemente ligada a morfologia do campo acústico de excitação, sendo possível detectar estruturas da ordem de 0,25 mm isoladamente. A técnica de aquisição, desenvolvida e apresentada neste trabalho, é similar a técnica de vibroacustografia todavia, com uma instrumentação reduzida e com a possibilidade de obtenção de mais informações da estrutura do meio material, a partir dos fenômenos não lineares observados. Estudos pilotos de aplicação desta nova técnica e com a vibroacustografia, foram realizados e comparados para a avaliação de potenciais aplicações, por exemplo, na avaliação do sinal acústico diante de mudanças nas propriedades viscoelásticas do meio induzidas por mudança de temperatura; formação de imagens em meios com inclusões isoecogênicas e com rigidez ligeiramente diferentes; geração de imagens de estrutura óssea in vitro. / In this work is presented a new modality of elastography images based on the acoustic emission when a material medium was subjected to a ultrasound radiation.This tecnique Nonlinearity behavior of the acoustic wave propagation and the vibrational mechanical response were used to produce images from kilohertz frequencies when the sample was excited by ultrasound waves in megahertz. To produce images with this modality, tissue mimicking phantoms were made with stiffness in homogeneities and subjected a focused ultrasound radiation pulses. The sound emitted due the interaction of the ultrasound wave with the region of interest was recorded and processed in order to associate each small portion of the tissue to a value for image formation. The results showed that this method can produce images associated to the viscoelastic changes of the samples. The spatial resolution have showed strongly linked to the morphology of the excitation acoustic field, this way was possible to detect isolated structures in order of 0.25 mm. The acquisiton technique developed and presented in this work is similar to the vibroacoustography technique, however with reduced instrumentation setup and with the possibility to acquire further information about the structure of the material from the nonlinear phenomenal. Preliminary studies of this new technique and the vibroacoustography were made and compared to evaluate the potential applications, for example, in the evalution of the acoustic signal behavior due changes in the viscoelastic properties changes induced by temperature variations; image formation in the medium with lightly stiffness inclusions; generation of the images of bone structure in vitro.

Neste trabalho é apresentada uma nova modalidade de imagens elastográficas baseada na emissão acústica, quando um meio é submetido à radiação ultrassônica. Esta técnica está sendo denominada de Acustografia por Pulso/Emissão (APE). Características não-lineares da propagação acústica de ondas ultrassônicas, e a resposta mecânica vibracional, foram utilizadas como artifício para geração de imagens com frequências da ordem de quilohertz (kHz), a partir da excitação com ondas ultrassônicas na ordem de megahertz. Para produzir imagens com essa nova modalidade, simuladores de tecido biológicos foram construídos com diferenças de rigidez localizadas, e submetidos a uma radiação ultrassônica focalizada (MHz). O som emitido devido a interação da onda ultrassônica com a região de interesse era gravado e processado de modo a associar a cada pequena porção do tecido a um valor relacionado a rigidez para a formação da imagem. Os resultados mostraram que o método pode produzir imagens associadas às alterações viscoelásticas das amostras. A resolução espacial mostrou-se fortemente ligada a morfologia do campo acústico de excitação, sendo possível detectar estruturas da ordem de 0,25 mm isoladamente. A técnica de aquisição, desenvolvida e apresentada neste trabalho, é similar a técnica de vibroacustografia todavia, com uma instrumentação reduzida e com a possibilidade de obtenção de mais informações da estrutura do meio material, a partir dos fenômenos não lineares observados. Estudos pilotos de aplicação desta nova técnica e com a vibroacustografia, foram realizados e comparados para a avaliação de potenciais aplicações, por exemplo, na avaliação do sinal acústico diante de mudanças nas propriedades viscoelásticas do meio induzidas por mudança de temperatura; formação de imagens em meios com inclusões isoecogênicas e com rigidez ligeiramente diferentes; geração de imagens de estrutura óssea in vitro. / In this work is presented a new modality of elastography images based on the acoustic emission when a material medium was subjected to a ultrasound radiation.This tecnique Nonlinearity behavior of the acoustic wave propagation and the vibrational mechanical response were used to produce images from kilohertz frequencies when the sample was excited by ultrasound waves in megahertz. To produce images with this modality, tissue mimicking phantoms were made with stiffness in homogeneities and subjected a focused ultrasound radiation pulses. The sound emitted due the interaction of the ultrasound wave with the region of interest was recorded and processed in order to associate each small portion of the tissue to a value for image formation. The results showed that this method can produce images associated to the viscoelastic changes of the samples. The spatial resolution have showed strongly linked to the morphology of the excitation acoustic field, this way was possible to detect isolated structures in order of 0.25 mm. The acquisiton technique developed and presented in this work is similar to the vibroacoustography technique, however with reduced instrumentation setup and with the possibility to acquire further information about the structure of the material from the nonlinear phenomenal. Preliminary studies of this new technique and the vibroacoustography were made and compared to evaluate the potential applications, for example, in the evalution of the acoustic signal behavior due changes in the viscoelastic properties changes induced by temperature variations; image formation in the medium with lightly stiffness inclusions; generation of the images of bone structure in vitro.

Abstract The most important paradigms in quantum mechanics are probably a twolevel system, a harmonic oscillator and an ideal (infinite) periodic potential. The first two provide a starting point for understanding the phenomena in systems where the spectrum of energy levels is discrete, whereas the last one results in continuous energy bands. Here an attempt is made to study the dynamics of the electrons in a narrow miniband of a semiconductor superlattice under electric and magnetic fields. Semiconductor superlattices are artificial periodic structures, where certain properties like the period and the energy band structure, defined in standard crystals by the nature, can be controlled. Electron dynamics in a single superlattice miniband is interesting both from the viewpoint of fundamental and applied physics. From the fundamental perspective superlattices serve as a model system for a wealth of phenomena resulting from the wavenature of charge carriers. On the other hand, superlattices can potentially be utilized in oscillators and amplifiers operating at THz frequencies. They can, in principle, provide a reasonable THz Bloch gain under dc bias and parametric amplification in the presence of ac pump field. Because of numerous scientific and technological applications in different areas of science and technology, including astrophysics and atmospheric science, biological and medical sciences, and detection of concealed weapons and biosecurity, a construction of compact tunable THz amplifiers and generators that can operate at room temperature is an important – but so far unrealized – task. This thesis focuses on the influence of electric and magnetic fields on small-signal absorption and gain in semiconductor superlattices in the presence of dissipation (scattering). We present several new ideas how the effects arising due to the wave nature of the electrons can be utilized in an operation of THz oscillators and amplifiers. In Papers I–V, we discuss the properties of superlattice sub-THz and THz parametric amplifiers, whereas the Papers VI–IX are devoted to the problem of domain instability in the realization of cw THz Bloch oscillator. In Paper IX we also establish a feasibility of new type of superlattice THz amplifier based on nonlinear cyclotron-like oscillations of the miniband electrons. The ideas presented in the Papers I–IX are supplemented here with a detailed discussion of the physical origin of the effects and more rigorous mathematical derivations of the main equations.

The model study of nonlinear effects in the ultrasound diagnostics is focused on developing and experimental verification of new computer algorithms for numerical modeling of the ultrasound field including nonlinear effects accompanying the ultrasound propagation in biological tissues. A theoretical analysis of nonlinearities in ultrasound propagation and their contribution to thermal and mechanical effects of diagnostic ultrasound applications was conducted. A numeric model of ultrasound propagating through a tissue model formed of a set of homogenous layers with defined physical parameters was developed in Matlab environment. The computation of ultrasound field spatial distribution is based on the angular spectrum method. For simulating of nonlinearities Burgers nonlinear wave equation is used. The resulting spatial distribution of the ultrasound field is described by the amplitudes of selected number of harmonic components of the acoustic pressure, by the mechanical index, by the harmonic distortion of the signal and by the spatial peak temporal average intensity of all considered components. The numerical model was experimentally verified using an unique ultrasound measurement system – the ultrasound measurement basin. The verified numeric model was used for assessing the veracity of mechanical index and tissue heating prediction during ultrasound applications in cases when the nonlinear effects are neglected in computations. The reliability of the mechanical index indicated by the diagnostic ultrasound instruments is also evaluated using the designed numeric model. The aim was to compare the indicated value usually obtained by derating the measurements in a water medium to the actual mechanical index present in the insonated tissue.

In this study, a progressive failure analysis is used to investigate leakage in internally pressurized non-circular composite cylinders. This type of approach accounts for the localized loss of stiffness when material failure occurs at some location in a structure by degrading the local material elastic properties by a certain factor. The manner in which this degradation of material properties takes place depends on the failure modes, which are determined by the application of a failure criterion. The finite-element code STAGS, which has the capability to perform progressive failure analysis using different degradation schemes and failure criteria, is utilized to analyze laboratory scale, graphite-epoxy, elliptical cylinders with quasi-isotropic, circumferentially-stiff, and axially-stiff material orthotropies. The results are divided into two parts. The first part shows that leakage, which is assumed to develop if there is material failure in every layer at some axial and circumferential location within the cylinder, does not occur without failure of fibers. Moreover before fibers begin to fail, only matrix tensile failures, or matrix cracking, takes place, and at least one layer in all three cylinders studied remain uncracked, preventing the formation of a leakage path. That determination is corroborated by the use of different degradation schemes and various failure criteria. Among the degradation schemes investigated are the degradation of different engineering properties, the use of various degradation factors, the recursive or non-recursive degradation of the engineering properties, and the degradation of material properties using different computational approaches. The failure criteria used in the analysis include the noninteractive maximum stress criterion and the interactive Hashin and Tsai-Wu criteria. The second part of the results shows that leakage occurs due to a combination of matrix tensile and compressive, fiber tensile and compressive, and inplane shear failure modes in all three cylinders. Leakage develops after a relatively low amount of fiber damage, at about the same pressure for three material orthotropies, and at approximately the same location. / Master of Science

Les impulsions laser de quelques cycles optiques offrent des capacités remarquables dans l’interaction laser-matière, en particulier pour l’ablation de matériaux diélectriques. Cependant, la focalisation d’impulsions laser ultracourtes dans l’air implique des limitations naturelles à la propagation linéaire du faisceau en amont de la cible. Dans ce contexte, on étudie l’ablation en surface de matériaux diélectriques lorsqu’ils sont irradiés par une impulsion unique de 12 fs dans l’air, dans des gammes d’intensités situées au-dessous et au-dessus de l’apparition des effets non linéaires dans l’air. En particulier, nous avons établi le lien entre la distribution en fluence en fonction des régimes de focalisation linéaire et non linéaire, et les diamètres des cratères. Nous avons démontré que le profil des cratères peut être prédit malgré les importantes modifications du faisceau laser à haute énergie, pour deux matériaux : la silice fondue et le saphir. Puis, après avoir identifié un régime d’ablation où le faisceau laser n’est pas affecté par ces effets non linéaires, nous avons développé un ensemble de diagnostics permettant de caractériser le plasma crée. Nous avons discuté et comparé les résultats obtenus sur les deux matériaux. En régime d’ablation, il apparaît alors que la densité du plasma est inférieure ou proche de la densité critique. De plus, la pénétration du faisceau est plus importante dans le cas du saphir que de la silice fondue donnant lieu à des cratères plus profonds. / Few-cycle laser pulses offer remarkable capabilities for laser-matter interaction, especially for ablation of transparent dielectric materials. However, focusing ultrashort laser pulses in air implies natural limitations to linear beam propagation prior the target. In this context, we study the surface ablation of dielectrics with single 12 fs laser pulses in air, at intensities below and above the apparition of nonlinear effects in air. In particular, we establish the link between the fluence distribution at the laser focus, spanning from linear- to nonlinear- focusing regimes, and the ablated crater diameters. We demonstrate that the crater profile can be predicted despite significant beam reshaping taking place at high fluence, for fused silica and sapphire. Then, we identify an ablation regime where the beam is still unaffected by nonlinear effects in air. In these conditions, we developed an energy balance experiment, allowing characterizing the created plasma. We discuss and compare the results acquired on fused silica and sapphire. We show that in ablation regime the density plasma is below or nearby the critical density. Moreover, the beam penetration is higher in sapphire than in fused silica, yielding deeper craters.

La demande en capacité liée à la transmission de tout type d’information (voix, vidéos, données, etc.) ne cesse de croître. Afin de répondre à cette demande croissante, de nouvelles générations de systèmes de communication multiplexés en longueur d’onde transmettant des débits élevés d’information par canal (100 Gbit/s ou plus) doivent être conçues. En plus des fibres ayant de très faibles pertes, des amplificateurs à fibre dopée à l’Erbium et du multiplexage en longueur d’onde, des technologies sont mises en place, comme notamment le multiplexage en polarisation, la détection cohérente, les formats de modulation multi-niveaux et plus récemment le multiplexage spatial. Des interrogations résident sur l’impact du multiplexage en polarisation ainsi qu’un développement vers des formats de modulation plus évolués incluant modulation de phase et multiplexage en polarisation. Dans cette thèse, afin de contribuer à l’augmentation du produit capacité x distance dans les systèmes de transmission Nx100 Gbit/s par fibre optique également multiplexés en polarisation et utilisant la détection cohérente, nous avons étudié d’une part, la mise en forme spectrale des signaux à l’émission pour augmenter la densité spectrale d’information (ISD: Information Spectral density). Dans cette optique, nous avons étudié l’impact du filtrage étroit gaussien du second ordre et de la mise en forme spectrale en racine de cosinus surélevé (RRC: Root Raised Cosine) sur les signaux émis dans le cas de modulations en Polarization Division Multiplexed-Quaternary Phase Shift Keying (PDM-QPSK) et Polarization-Switched-Quaternary Phase Shift Keying (PS-QPSK). Ceci a été réalisé en simulation numérique en considérant un espacement spectral entre les différents canaux variable. Nous avons montré qu’en tenant compte à la fois du facteur de qualité maximal et de la densité spectrale d’information, l’application de la mise en forme RRC sur des signaux modulés en PS-QPSK, fournit de meilleures performances de transmission dans une configuration où toute la dispersion est compensée en fin de propagation, pour toutes les valeurs d’espacement spectral étudiées. D’autre part, nous nous sommes intéressés aux effets non-linéaires qui limitent la portée de ces systèmes en dégradant pendant la propagation, les symboles émis, par les interactions entre des symboles d’un même canal, entre canaux ou modes de polarisation. La compréhension et la réduction de l’impact des effets non-linéaires est indispensable lorsqu’on veut utiliser certaines technologies pour augmenter la densité spectrale d’information. L’utilisation du multiplexage en polarisation par exemple, se heurte aux dégradations causées par les effets non-linéaires car de nouvelles interactions entre symboles sont présentes pendant la propagation. Par conséquent le développement des futurs systèmes ayant des débits plus élevés de 400 Gbit/s et 1 Tbit/s par canal passe par une diminution de l’impact des effets non-linéaires. Nous avons établi dans ce travail de thèse, des règles de conception permettant de réduire l’impact des effets non-linéaires entre polarisation dans les systèmes de transmission optiques considérés / The ever-increasing demand of capacity in very high bit rate coherent optical transmission systems has paved the way towards the investigation of several techniques such as the use of ultra-low loss fibers, Erbium doped fiber amplifiers, polarization and wavelength division multiplexing (WDM), coherent detection, multi-level modulation formats, spatial division multiplexing, etc. However, there are questions concerning polarization division multiplexing and a development towards some advanced modulation formats including phase modulation and polarization division multiplexing. In this thesis, in order to increase the capacity-by-distance product of future optical coherent systems using wavelength and polarization division multiplexing, we first study spectral shaping of the transmitted signals to increase the information spectral density. For this purpose, we have numerically investigated the multi-channel transmission performance of Polarization Switched Quadrature Phase Shift Keying (PSQPSK) and we have compared it to the performance of Polarization-Division-Multiplexed QPSK (PDM-QPSK), using Root Raised Cosine (RRC) spectral shaping, in the context of a flexible channel grid. In addition we have presented the advantage of PS-QPSK against PDM-QPSK as a function of the system parameters, while we have also discussed the benefit of a RRC spectral shaping against a tight filtering at the transmitter side with a 2nd order super-Gaussian-shaped filter. Furthermore, we have focused on nonlinear effects that limit the transmission distance by degrading the transmitted symbols during propagation. Analyzing and reducing the impact of nonlinear effects is essential when using technologies that increase the information spectral density such as polarization division multiplexing which causes new nonlinear effects due to additional interactions between symbols during the propagation through the fiber. Therefore a reduction of the impact of nonlinear effects is necessary for the development of future systems with higher bit rates of 400 Gbit/s and 1 Tbit/s per channel. We have established in this thesis, design rules to reduce the impact of nonlinear effects in the optical WDM transmission systems at 100 Gbit/s per channel that use polarization multiplexing