Les dispositifs optoélectroniques sont importants pour nombreuses applications de la vie de tous les jours : ordinateurs, téléphones, les objets connectés en général. La gamme spectrale du THz (0.1-10 THz) reste cependant un domaine industriellement peu exploité en raison de problèmes intrinsèques à la génération et détection des photons THz.De nombreuses applications relèvent pourtant du THz, dans les domaines médicaux par exemple, pour la détection des gaz à l’état de trace, ou bien pour l’imagerie d’objets opaques dans le visible.Cette thèse se focalise sur les photodétecteurs à puits quantiques (QWIPs) et les lasers à cascade quantique (QCLs) fonctionnant dans la gamme du THz dans le but de développer des dispositifs compacts, rapides et sensibles (mais fonctionnant à températures cryogéniques). Nous avons utilisé des résonateurs à anneau fendu, inspirés des travaux sur les métamatériaux, pour concevoir et développer des détecteurs sub-longueur d’onde accordables en fréquence dans la gamme spectrale du térahertz grâce à une inductance externe. En ce qui concerne les émetteurs, cette thèse étudie les micro-lasers THz qui utilisent des résonateurs de type microdisques, avec pour but de concevoir et fabriquer des lasers fonctionnant sur le mode électromagnétique fondamental. Les futures perspectives de ce travail concernent la réalisation d’un laser entièrement sub-longueur d’onde et rapide dans la gamme spectrale du THz. / Optoelectronic devices are crucial for many applications in everyday life: computers, smartphones, connected objects in general.The THz range (0.1-10 THz) still remains industrially unexploited because of the intrinsic difficulties to produce or generate THz photons. However, many applications exist for THz radiation : in the medical field for example, for the sensitive detection of gases, or for the imaging of concealed objects in the visible range.This thesis focuses on quantum well photodetectors (QWIPs) and quantum cascade lasers (QCLs) operating in the THz range in order to develop compact, fast and sensitive devices (but operating at cryogenic temperatures).We used Split Ring Resonators (SRR), inspired by metamaterial research, in order to design and develop subwavelength tunable THz detectors with an external inductance.Concerning lasers, this thesis studies THz micro-lasers using microdisk resonators with the aim of designing and manufacturing lasers operating on the fundamental electromagnetic mode (dipolar mode). The future perspective of this work is to build an entirely sub-wavelength and fast laser in the THz spectral range.

Nous nous intéressons à des problèmes de transmission entre diélectriques et métamatériaux, milieux présentant des propriétés électromagnétiques inhabituelles comme des caractéristiques effectives négatives à certaines fréquences. Par exemple, ces milieux peuvent être construits comme des assemblages périodiques de microstructures résonantes et dans ce cas la théorie de l'homogénéisation permet de justifier mathématiquement ces propriétés effectives. En régime harmonique et dans des géométries à variables séparables, des calculs analytiques peuvent être menés. Ils révèlent dans des cas dits critiques des difficultés mathématiques: les solutions n'ont pas la régularité standard, voire le problème peut être mal posé.La première partie étudie ces problèmes de transmission en régime temporel pour lequel les métamatériaux sont modélisés par des modèles dispersifs (modèle de Drude ou de Lorentz). Les difficultés résident dans le choix d'un schéma de discrétisation mais surtout dans la construction de conditions absorbantes. La méthode retenue ici est celle des Perfectly Matched Layers (PMLs). Comme les PMLs classiques sont instables pour ces modèles du fait de la présence d'ondes inverses, nous proposons une nouvelle classe de PMLs pour lesquelles nous menons une analyse de stabilité. Cette dernière permet de construire des PMLs stables. Elles sont ensuite utilisées pour simuler le comportement en temps long d'un problème de transmission; nous illustrons alors le fait que le principe d'amplitude limite peut être mis en défaut en raison de résonances d'interface.La deuxième partie vise à pallier ces phénomènes d'interface en régime harmonique en revenant sur le processus d'homogénéisation classique, pour un milieu dissipatif. Pour des problèmes de transmission, il est connu que les modèles issus de cette méthode perdent en précision du fait de la présence de couches limites à l'interface. Nous proposons un modèle enrichi au niveau de l'interface. En combinant la méthode d'homogénéisation double-échelle et celle des développements asymptotiques raccordés, nous construisons des conditions de transmission non standards faisant intervenir des opérateurs différentiels le long de l'interface. Le calcul de ces conditions nécessite la résolution de problèmes de cellule et de problèmes non standards posés dans des bandes périodiques infinies. Une analyse d'erreur confirme l'amélioration de la précision du modèle. Des simulations numériques illustrent l'efficacité de ces nouvelles conditions. Enfin, cette démarche est reproduite formellement dans le cas des matériaux à fort contraste se comportant comme des métamatériaux. Nous montrons alors que ces nouvelles conditions permettent de régulariser le problème de transmission dans les cas critiques. / We are interested in transmission problems between dielectrics and metamaterials, that is to say media with unusual electromagnetic properties such as negative constants at some frequencies. These media are often made of periodic assemblies of resonant micro-structures and in this case the homogenization theory can justify mathematically these effective properties. A preliminary part deals with these problems in the harmonic domain and in geometry with separation of variables.Analytical computations are done and reveal in the so-called critical cases some mathematical diffculties: the solutions do not have the standard regularity and the problem can even be ill-posed.The first part examines these transmission problems in the time domain for which metamaterials are modelled by dispersive models (Drude model or Lorentz model for instance). The diffculties reside in the choice of a discretization scheme but especially in the construction of absorbing conditions. The method used here is the use of Perfectly Matched Layers (PMLs). Since classical PMLs are unstable for these models due to the presence of backward waves, we propose a new class of PMLs for which we conduct a stability analysis. The latter allows us to build stable PMLs. They are then used to simulate the long-time behaviour of a transmission problem; we illustrate the fact that the limit amplitude principle can be faulted because of interface resonances.The second part aims to overcome these phenomena by coming back to the classical homogenization in the harmonic domain, for dissipative media. For transmission problems, it is known that models resulting from this method lose accuracy due to the presence of boundary layers at the interface. We propose an enriched model at the interface: by combining the method of two-scale homogenization and that of matched asymptotic expansions, we build non-standard transmission conditions involving tangential derivatives along the interface (Laplace-Beltrami operators). This requires to solve cell problems and non-standardproblems in infinite periodic bands. An error analysis confirms the improvement of the accuracy of the model and numerical simulations show the effectiveness of these new conditions. Finally, this approach is formally reproduced in the case of high contrast materials which behave like metamaterials. We show that these new conditions regularise the transmission problem in the critical cases.

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Light interaction with matter has long been an area of interest throughout history, spanning many fields of study. In recent decades, the investigation of light-matter interactions with nanostructures has become an intense area of research in the field of photonics. Metallic nanostructures, in particular, are of interest due to the interesting properties that arise when interacting with light. The properties are a result of the excitation of surface plasmons which are the collective oscillation of the conduction electrons in the metal. Since the conduction electrons can be thought of as harmonic oscillators, they are quantized in a similar fashion. Just as a photon is a quantum of oscillations of an electromagnetic field, the plasmon is a quantum of electron oscillations of a metal. There are three types of plasmons: 1. Bulk plasmons, also called volume plasmons, are longitudinal density fluctuations which propagate through a bulk metal with an eigenfrequency of �� called the plasma frequency. 2. Localized surface plasmons are non-propagating excitations of the conduction electrons of a metallic nanoparticle coupled to an electromagnetic field. 3. Surface plasmon polaritons are evanescent, dispersive propagating electromagnetic waves formed by a coupled state between a photon and the excitation of the surface plasmons. They propagate along the surface of a metal-dielectric interface with a broad spectrum of eigenfrequencies from � = 0 to � = ��⁄√2. iv Plasmonics is a subfield of photonics which focuses on the study of surface plasmons and the optical properties that result from light interacting with metal films and nanostructures on the deep subwavelength scale. In this thesis, plasmonic nanostructures are investigated for optical waveguides and other nanophotonic applications through computational simulations primarily base on electrodynamic theory. The theory was formulated by several key figures and established by James Clerk Maxwell after he published a set of relations which describe all classical electromagnetic phenomena, known as Maxwell’s equations. Using methods based on Maxwell’s equations, the optical properties of metallic nanostructures utilizing surface plasmons is explored. In Chapter 3, light propagation of bright and dark modes of a partially and fully illuminated silver nanorod is investigated for waveguide applications. Then, the origin of the Fano resonance line shape in the scattering spectra of a silver nanorod is investigated. Next, in Chapter 4, the reflection and transmission of a multilayer silver film is simulated to observe the effects of varying the dielectric media between the layers on light propagation. Building on the multilayer film work, metal-insulator-metal waveguides are explored by perforating holes in the bottom layer of a two layer a silver film to investigate the limits of subwavelength light trapping, confinement, and propagation. Lastly, in Chapter 5, the effect of surface plasmons on the propagation direction of electromagnetic wave around a spherical silver nanoparticle which shows an effective negative index of refraction is examined. In addition, light manipulation using a film of silver prisms with an effective negative index of refraction is also investigated. The silver prisms demonstrate v polarization selective propagation for waveguide and optical filter applications. These studies provide insight into plasmonic mechanisms utilized to overcome the diffraction limit of light. Through better understanding of how to manipulating light with plasmonic nanostructures, further advancements in nanophotonic technologies for applications such as extremely subwavelength waveguides, sensitive optical detection, optical filters, polarizers, beam splitters, optical data storage devices, high speed data transmission, and integrated subwavelength photonic circuits can be achieved.

<p>Composite materials have been invented and used to make all kinds of industrial products, such as automobiles, aircraft, sports equipment etc., for many years. Excellent properties such as high specific stiffness and strength have been recognized and studied for decades, motivating the use of composite materials. However, the design of composite structures still remains a challenge. Existing design tools are not adequate to exploit the full benefits of composites. Many tools are still based on the traditional material selection paradigm created for isotropic homogeneous materials, separated from the shape design. This will lose the coupling effects between composite materials and the geometry and lead to less optimum design of the structure. Hence, due to heterogeneity and anisotropy inherent in composites, it is necessary to model composite parts with appropriate microstructures  instead of simplistically replacing composites as black aluminum and consider materials and geometry at the same time.</p> <p><br></p> <p>This work mainly focuses on the design problems of complex material-structural systems through computational analyses. Complex material-structural systems are structures made of materials that have microstructures smaller than the overall structural dimension but still obeying the continuum assumption, such as fiber reinforced laminates, sandwich structures, and meta-materials, to name a few. This work aims to propose a new design-by-analysis framework based on the mechanics of structure genome (MSG), because of its capability in accurate and efficient predictions of effective properties  for different solid/structural models and three-dimensional local fields (stresses, strains, failure status, etc). The main task is to implement the proposed framework by developing new tools and integrating these tools into a complete design toolkit. The main contribution of this work is a new efficient high-fidelity design-by-analysis framework for complex material-structural systems.</p> <p><br></p> <p>The proposed design framework contains the following components. 1) MSG and its companion code SwiftComp is the theoretical foundation for structural analysis in this design framework. This is used to model the complex details of the composite structures. This approach provides engineers the flexibility to use different multiscale modeling strategies. 2) Structure Gene (SG) builder creates finite element-based model inputs for SwiftComp using design parameters defining the structure. This helps designers deal with realistic and meaningful engineering parameters directly without expert knowledge of finite element analysis. 3) Interface is developed using Python for easy access to needed data such as structural properties and failure status. This is used as the integrator linking all components and/or other tools outside this framework. 4) Design optimization methods and iteration controller are used for conducting the actual design studies such as parametric study, optimization, surrogate modeling, and uncertainty quantification. This is achieved by integrating Dakota into this framework. 5) Structural analysis tool is used for  computing global structural responses. This is used if an integrated MSG-based global analysis process is needed.</p> <p><br></p> <p>Several realistic design problems of composite structures are used to demonstrate the capabilities of the proposed framework. Parameter study of a simple fiber reinforce laminated structure is carried out for investigating the following: comparing with traditional design-by-analysis approaches, whether the new approach can bring new understandings on parameter-response relations and because of new parameterization methods and more accurate analysis results. A realistic helicopter rotor blade is used to demonstrate the optimization capability of this framework. The geometry and material of composite rotor blades are optimized to reach desired structural performance. The rotor blade is also used to show the capability of strength-based design using surrogate models of sectional failure criteria. A thin-walled composite shell structure is used to demonstrate the capability of designing variable stiffness structures by steering in-plane orientations of fibers of the laminate. Finally, the tool is used to study and design auxetic laminated composite materials which have negative Poisson's ratios.</p>

In this thesis, an inverse source (IS) approach is considered for the constrained design of static-passive electromagnetic skins (SP-EMSs). By leveraging the ill-posedness/non-uniqueness of the IS problem at hand, a generalized solution framework is devised for the synthesis of SP-EMSs that simultaneously comply with (i) complex wireless coverage requirements and (ii) manufacturing and installation constraints. These two design goals can be decoupled and tackled separately through the employment of non-radiating (NR) currents. The flexibility of the IS-based formulation is demonstrated in practice with the implementation of two synthesis strategies dealing with different classes of design constraints. Representative results from a wide set of numerical experiments are reported to prove the effectiveness and the computational efficiency of the proposed method as a suitable tool for a real and effective realization of the so-called smart electromagnetic environment (SEME).

Metamaterials are artificially designed materials with desired electromagneticresponses for advanced wave manipulation. Their key constituent is often somenoble metal, thanks to its well localized plasmonic effects with highextinction cross section. In this project, a metamaterial based onmetal-insulator-metal (MIM) structure is investigated to create a compactplanar reflector which mimics the function of a parabolic mirror. In such ametamaterial, each MIM unit is essentially a sub-wavelength resonator whichexhibits magnetic-dipole resonance. To achieve focusing effect, phase shift onreflected wave by each MIM unit upon a plane-wave incidence is calculatedrigorously through finite-element method. By carefully selecting unitgeometries and thereby introducing a phase gradient along the reflector plane,one can control propagation direction of reflected wave at each reflectorposition. The principle can be explained in terms of either ray-optics theoryor generalized Snell’s law. As a particular demonstration, we have designed inthe thesis a planar reflector consisting of eleven MIM units with a totaldevice width of 5.5 µm. FEM simulation showed that the reflector focuses lightat 1.2 µm wavelength with a nominal focus length of 6 µm. Such compactmetamaterial devices can be potentially fabricated on chips for sensing andtelecom applications, circumventing many inconveniences of includingconventional lenses in an optical system. / Metamaterial är artificiellt konstruerade material med vissa önskadeelektromagnetiska egenskaper, vilket kan utnyttjas för avancerad styrning avelektromagetisk vågutbredning. Metamaterialet som undersöks i denna rapportär baserad på en metall-isolator-metall (MIM) struktur, denna strukturkommer användas för konstruktion av en platt parabolisk reflektor. Vilket isin tur består av en serie MIM-strukturer med varierande storlekar. VarjeMIM-struktur är i princip en resonator med en storleksordning mycket mindreän våglängden och ger upphov till en magnetisk resonans. För att sedan uppnåfokus genomförs en rigorös beräkning av fasen med hjälp av finita elementmetoden, varpå man kan beräkna fas och amplitud från strukturen efterreflektion från en plan våg. Därefter kan man välja ut de geometrierna somkrävs för att styra riktningen av vågpropagationen med en fasgradient.Fysikaliska principerna kan förklaras genom stråloptik eller med hjälp avgeneraliserade Snell's lag. I denna rapport presenteras en design av en planreflektor med elva MIM strukturer där den totala storleken är 5.5 µm. FEMsimulering visade att reflektorn fokuserade ljuset vid våglängden 1.2 µm medden nominella fokallängden 6 µm. Dessa kompakta metamaterial kan eventuellttillverkas på chip för detektering och telekom, vilket löser problemen medatt inkludera konventionella linser i optiska system.

<p dir="ltr">The primary goal of this work is to gain a fundamental understanding on how growth conditions affect the morphology and crystallography orientation of CeO₂/Au vertically aligned nanocomposite (VAN) thin films. Focus has been placed on how the changes in morphology and crystallography translate to tunable optical properties. The morphological effects have been observed and analyzed via two main approaches: the change in morphology was observed at multiple points along the film thickness, and the morphology at the film/substrate interface has been analyzed with respect to total film thickness. The changes in Au crystallography orientations have been observed by measuring peak shift in XRD patterns and determining the resulting in- and out-of-plane strain. To observe additional effects of this morphology change, optical measurements have been taken for films at the bottom, middle, and top of the thickness range. Strong trends in transmittance, plasmonic absorption peak shifts and hyperbolic permittivity behavior are correlated with the film thickness. This tunability of optical properties likely arises from changes in both Au pillar phase morphology and crystal orientation. These findings demonstrate that changing film thickness may be a desirable method to easily tune the morphology and optical properties of VAN thin films.</p>