No / New representations and efficient calculation methods are derived for the problem of propagation from an infinite regularly spaced array of coherent line sources above a homogeneous impedance plane, and for the Green's function for sound propagation in the canyon formed by two infinitely high, parallel rigid or sound soft walls and an impedance ground surface. The infinite sum of source contributions is replaced by a finite sum and the remainder is expressed as a Laplace-type integral. A pole subtraction technique is used to remove poles in the integrand which lie near the path of integration, obtaining a smooth integrand, more suitable for numerical integration, and a specific numerical integration method is proposed. Numerical experiments show highly accurate results across the frequency spectrum for a range of ground surface types. It is expected that the methods proposed will prove useful in boundary element modeling of noise propagation in canyon streets and in ducts, and for problems of scattering by periodic surfaces.

The identification and quantification of atoms, molecules, or ions concentrations in gaseous samples are in great demand for medical, environmental, industrial, law enforcement and national security applications. These applications require in situ, high-resolution, non-destructive, sensitive, miniature, inexpensive, rapid detection, remotely accessed, real time and continuously operating chemical sensing devices. The aim of this work is to design a miniature optical sensing device that is capable of detecting and measuring chemical species, compatible with being integrated into a large variety of monitoring systems, and durable enough to be used under extreme conditions. The miniature optical sensor has been realized by employing technologies from the optical communication industry and spectroscopic methods and techniques. Fused silica capillary tubing along with standard communication optical fibers have been utilized to make miniature gas sensor based on near-infrared spectroscopy for acetylene gas detection. In this work, the basic principles of infrared spectroscopy are reviewed. Also, the principle of operation, fabrication, testing, and analysis of the proposed sensor are discussed in details. / Master of Science

The advancement in demand for high bandwidth energy-efficient communication in the data centre and edge cloud servers needs a viable optical interconnection solution to cope with the demands. Therefore, the presented study describes the concept of flexible multi-mode waveguides (MM-WGs) as an optical link for co-packaged optics. It evaluates three lithography technologies; UV-lithography, 2 photon polymerization direct laser writing process (2PP-DLW), and nano-imprint lithography (NIL) for the fabrication of flexible MM-WGs. The UV-lithography and 2PP-DLW process were evaluated for the fabrication of MM-WGs and micro-mirrors, respectively, for the master pattern of the NIL stamp. The NIL evaluates the imprinting of the MM-WGs with micro-mirrors at either end on the flexible and transparent PEN substrates with a low-loss OrmoClad lower cladding layer. There are five different cross-sections from 10×10 µm 2 to 50×50 µm 2 of MM-WGs with micro-mirrors were imprinted. Additionally, it presents the importance of integrating multi-lithography technologies to fabricate flexible optical links where a 2PP-DLW process shows the best results for printing µm-scale optical components. On the other side, UV-lithography with SU-8 gives the foremost definition of the master for the polymeric MM-WGs. Furthermore, NIL offers the industrial mass-production option alongside prototyping.:Abstract Introduction Introduction to the Concept of Multi-Lithography Technologies for Flexible Optical Link Experimental Results and Discussion Conclusion and Future Outlook

L'hybridation des méthodes numériques est l'une des nombreuses pistes dans la recherche de la rapidité et de l'efficacité et de la précision d'une modélisation électromagnétique des structures complexes associant des parties de formes régulières de grandes dimensions électriques et des parties de formes complexes de dimensions plus modestes. Au lieu d'une seule formulation globale, on cherche à appliquer l'hybridation de plusieurs méthodes numériques notamment la méthode variationnelle multimodale (MVM), la méthode des éléments finis (FEM) et les réseaux de neurones artificiels. Un nouveau schéma hybride original qui combine la MVM et la FEM a été proposé pour caractériser une discontinuité complexe dans un guide d'onde rectangulaire. Les résultats obtenus tout en étant conformes aux résultats fournis par les simulateurs commerciaux et les résultats expérimentaux, apportent une amélioration sensible quant au temps de calcul. Le schéma hybride a été étendu pour la caractérisation des discontinuités complexes en cascade et appliqué à la conception de filtres micro-onde présentant des discontinuités complexes permettant ainsi un gain de temps très important. L'hybridation des réseaux de neurones artificiels et les méthodes modales a amélioré le temps de calcul pour l'analyse des discontinuités simples dans les guides d'onde rectangulaires ce qui a permis d'améliorer l'optimisation des filtres à guides d'ondes nervurés. / Hybridization of numerical methods is one inventive way in the research of the rapidity, the efficiency and the precision of the electromagnetic modeling of complex structures joining straight and large elements with complex and small ones. Instead of a global and unique formulation, we hybridize many numerical methods which are the modal methods, the finite element methods and the artificial neural networks. A novel computer- ided design (CAD) tool of complex passive microwave devices in rectangular waveguide technology is suggested. The multimodal variational method is applied to the full-wave description in the rectangular waveguides while the finite element analysis characterizes waves in the arbitrarily shaped discontinuities. The suggested hybrid approach is successfully applied to the full-wave analysis of complex discontinuities with great practical interest, thus improving CPU time and memory storage against several full-wave finite element method (FEM) based CAD tools. The proposed hybrid CAD tool is successfully extended to the design of filters with cascaded complex discontinuities. The hybridization of modal methods and the artificial neural networks improved the CPU time in the analysis of simple waveguide discontinuities which enhanced the optimization of rectangular ridged waveguide filters.

Les plasmons-polaritons de surface (PPS) font figure de plateforme polyvalente très promet- teuse pour le guidage des ondes électromagnétiques à l’échelle nanométrique. Dans ce contexte, le contrôle dynamique de la propagation PPS est d’une importance capitale. Le contrôle actif des dispositifs plasmoniques a souvent été réalisé jusqu’à présent par le biais d’un effet thermo-optique (TO). Toutefois dans la majorité des cas considérés, l’effet thermo-optique résulte d’une modification des propriétés d’un matériaux diélectrique en contact avec le métal supportant le mode plasmon. Ainsi, le rôle des propriétés thermo-optiques du métal lui-même a rarement été analysé aux fréquences télécom dans le cadre d’applications plasmoniques. L’objectif principal de cette thèse est donc d’analyser en détail l’impact des propriétés thermo- optiques des métaux sur différents modes PPS aux longueurs d’ondes télécom. En premier lieu, nous considérons la modulation photo-thermique d’un mode plasmon supporté par un film mince d’or se propageant à l’interface "or/air". Nous démontrons tout d’abord la modulation de la propagation des modes PPS induite par la dépendance des pertes ohmiques de l’or à la température du film mince. Le contrôle de la température du film est obtenu par un effet photo-thermique en régime continu modulé. Les mesures expérimentales de la pro- fondeur de modulation de l’intensité des modes PPS combinées à la simulation numérique de la distribution de température le long du film d’or nous permettent de remonter aux coefficients thermo-optiques de l’or aux fréquences télécoms. Dans un second temps, nous considérons le contrôle thermo-optique de modes plasmons dont le confinement spatial (et donc l’indice effectif) est supérieur à ceux des modes de films. Les modes considérés dans cette seconde étude sont connus sous le nom de "polymer- loaded surface plasmon waveguides (PLSPPWs)". Ces modes présentent un confinement latéral induit par l’indice de réfraction du ruban de polymère déposés sur le film métallique et un confinement vertical résultant de leur nature plasmonique. L’excitation photo-thermique de ces guides plasmoniques dans un régime nano-seconde nous permet de mettre en évidence la dynamique thermo-optique du métal aux temps courts (<1ns) et du polymère aux temps plus longs (<1µs). La même démarche appliquée à un micro-résonateur plasmonique en anneau révèle les temps caractéristiques de la dynamique de diffusion de la chaleur dans le polymère à l’échelle de quelques dizaines de nanomètres. Sur la base de ces expériences, nous suggérons un design de dispositifs plasmoniques thermo-optique dont la bande passante est de l’ordre du megahertz, un ordre de grandeur au-dessus des systèmes thermo-optiques traditionnels. Enfin, nous présentons la modulation photo-thermique de la propagation PPS le long de nanofils d’or fabriqués par lithographie électronique supportant des modes plasmons très confinés aux longueurs d’onde télécom. La transmission d’un signal télécom à 10 Gbit/s est tout d’abord démontrée afin d’établir sans ambiguïté la pertinence de tels guides d’ondes miniatures pour la transmission d’informations à très courtes échelles. Enfin, nous mettons en évidence la modulation photo-thermique de la propagation de tels modes. En particulier, nous investiguons l’influence sur la profondeur de modulation de la polarisation du faisceau pompe relativement à l’orientation des nanofils. Cet effet de polarisation s’explique par une absorption exaltée si la polarisation du faisceau pompe est orientée perpendiculairement à l’axe du nanofil. L’exaltation résulte de l’excitation d’un mode plasmon local selon l’axe transverse du nanofil. / Surface plasmon polaritons (SPPs) is the promising versatile platform proposed for guiding electromagnetic waves at nanoscale dimensions. In this context dynamic control of SPPs prop- agation is of paramount importance. Thermo-optical (TO) effect is considered as an efficient technique for performing active control of plasmonic devices. Among the thermo-optical based plasmonic devices demonstrated so far TO coefficient is dominantly provided by a dielectric material on top of the metal sustaining the SPP mode, however, the role of TO properties of the metal has been rarely investigated for plasmonic applications especially at the telecom frequency ranges. Therefore, the aim of this thesis is to investigate in detail the impact of thermo-optical properties of metals onto various SPP modes at telecom wavelengths.First, we report on photo-thermal modulation of thin film SPP mode traveling at gold/air interface excited at telecom wavelengths. We start by investigating the photo-thermally in- duced modulation of SPPs propagation mediated by the temperature dependent ohmic losses in the gold film. Then we extract the thermo-plasmonic coefficient of the SPP mode from the accurately measured SPPs signal depth of modulation by which we could compute the thermo-optical coefficients (TOCs) of gold at telecom wavelength. Lastly, we demonstrate a pulsed photo-thermal excitation of the SPPs in the nanosecond regime.Secondly, we investigate the thermo-optical dynamics of polymer loaded surface plasmon waveguide (PLSPPW) based devices photo-thermally excited in the nanosecond regime. First, we demonstrate thermo-absorption of PLSPPW modes mediated by the temperature-dependent ohmic losses of the metal and the thermally controlled field distribution of the plasmon mode within the metal. Next, we consider the thermo-optical response of a PLSPPW based racetrack shaped resonator coupled to a straight bus waveguide and evaluate the photo-thermal activation through heating and cooling times. We conclude that nanosecond excitation combined to high thermal diffusivity materials opens the way to high speed thermo-optical plasmonic devices.Finally, we report on the photo-thermal modulation of SPPs propagation along litho- graphically fabricated gold nanowires sustaining highly confined plasmonic mode at telecom wavelengths. First, we investigate telecommunication characterization of the nanowires by ap- plying high bit rate signal transmission, 10 Gbit/s, through fiber-to-fiber confocal detection setup. Next, we demonstrate and evaluate the photo-thermal modulation of SPPs propagation along the nanowires where we discuss qualitatively TO effects due to light-induced modula- tions on nanowires and show the impact of the incident beam polarization on the photo-thermal modulation.

There exists substantial applications motivating the study of nonlinear longitudinal wave propagation in layered (or laminated) elastic waveguides, in particular within areas related to non-destructive testing, where there is a demand to understand, reinforce, and improve deformation properties of such structures. It has been shown [76] that long longitudinal waves in such structures can be accurately modelled by coupled regularised Boussinesq (cRB) equations, provided the bonding between layers is sufficiently soft. The work in this thesis firstly examines the initial-value problem (IVP) for the system of cRB equations in [76] on the infinite line, for localised or sufficiently rapidly decaying initial conditions. Using asymptotic multiple-scales expansions, a nonsecular weakly nonlinear solution of the IVP is constructed, up to the accuracy of the problem formulation. The asymptotic theory is supported with numerical simulations of the cRB equations. The weakly nonlinear solution for the equivalent IVP for a single regularised Boussinesq equation is then constructed; constituting an extension of the classical d'Alembert's formula for the leading order wave equation. The initial conditions are also extended to allow one to separately specify an O(1) and O(ε) part. Large classes of solutions are derived and several particular examples are explicitly analysed with numerical simulations. The weakly nonlinear solution is then improved by considering the IVP for a single regularised Boussinesq-type equation, in order to further develop the higher order terms in the solution. More specifically, it enables one to now correctly specify the higher order term's time dependence. Numerical simulations of the IVP are compared with several examples to justify the improvement of the solution. Finally an asymptotic procedure is developed to describe the class of radiating solitary wave solutions which exist as solutions to cRB equations under particular regimes of the parameters. The validity of the analytical solution is examined with numerical simulations of the cRB equations. Numerical simulations throughout this work are derived and implemented via developments of several finite difference schemes and pseudo-spectral methods, explained in detail in the appendices.

L'objectif de cette thèse est de fabriquer différents dispositifs optiques basés sur la structuration des cristaux liquides. Nous avons tout d'abord présenté différentes méthodes pour aligner les molécules de cristaux liquides et détaillé celles que nous avons utilisées au cours de ce travail. L'alignement et certaines propriétés physiques des cristaux liquides ont permis de fabriquer des dispositifs optiques. Ces dispositifs se divisent généralement en trois catégories : les filtres optiques, les modulateurs spatiaux et les guides d'ondes optiques. Ils sont présents dans divers secteurs et particulièrement dans le domaine des télécommunications. La structure des cristaux liquides cholestériques a une biréfringence périodique qui donne lieu à une réflexion sélective de la polarisation circulaire de la lumière. Nous avons tiré profit de cette propriété en fabricant un miroir de Bragg commutable. Ce miroir nous a permis de fabriquer un filtre de Fabry-Pérot commutable et accordable. Un réseau de polymère a été utilisé pour stabiliser le cristal liquide cholestérique, afin d'apporter résistance mécanique et durabilité aux champs électriques. Les cristaux liquides ferroélectriques présentent des propriétés électro-optiques efficaces, en particulier un temps de réponse élevé. Cette propriété a été exploitée pour fabriquer des obturateurs optiques pour lunettes 3D actives basées sur des cristaux liquides ferroélectriques. Malgré un temps de réponse élevé, les cristaux liquides ferroélectriques présentent certains défauts structurels. Nous avons proposé une nouvelle technique pour pallier ces défauts. Enfin, nous avons fabriqué des guides d'ondes gravés dans le polymère à cristaux liquides. Nous avons fabriqué ce polymère à cristaux liquides de manière à obtenir deux phases de cristal liquide différentes : isotrope et anisotrope, sur le même substrat. Le substrat a ensuite été gravé afin de créer un séparateur de polarisation séparant le mode TE et TM dans les deux branches du guide.

De nombreuses études ont été menées jusqu’ici afin d’analyser l’apport de la technique de génération acoustique par micro-ondes dans le domaine de l’évaluation et du contrôle non destructifs des structures mécaniques. Le caractère entièrement sans contact de cette nouvelle technique en ferait un moyen pouvant être adopté pour générer aisément des ondes acoustiques dans les matériaux diélectriques absorbants. Ce travail porte d’abord sur l’étude des vibrations latérales engendrées dans les barreaux viscoélastiques placés dans un guide d’ondes électromagnétiques contenant une ouverture sur l’une des faces latérales et soumis à de brèves excitations de micro-ondes. Un modèle paramétrique prédit la forme de l’élévation de la température à l’intérieur de l’échantillon. Ses résultats soulignent que l’utilisation des guides partiellement ouverts provoque une distribution asymétrique de la température générant ainsi des modes de flexion. Par ailleurs, un modèle numérique tridimensionnel par éléments finis a permis de mettre en évidence l’existence d’autres modes liés aux déformations des sections-droites lorsqu’elles sont soumises à une brusque dilatation thermique. Ensuite, l’élaboration de méthodes directes pour compléter l’évaluation des propriétés viscoélastiques des mêmes barreaux placés dans les guides conventionnels est considérée. Différents modèles analytiques sont construits pour analyser l’effet du coefficient de Poisson sur le rapport des vibrations induites dans les directions latérale et longitudinale d’une part, et sur la dispersion des ondes acoustiques de type traction compression d’autre part. Un algorithme d’optimisation permettant d’estimer le coefficient de Poisson et la partie réelle de la lenteur à valeurs complexes par une méthode inverse est élaboré puis appliqué dans le cas concret de deux barreaux polymériques. Enfin, une étude analytique et numérique par éléments finis est menée afin d’analyser les vibrations générées sur un défaut circulaire (trou) contenu dans une plaque et chauffé localement par des micro-ondes. Deux approches acoustiques sont construites pour prédire la forme de la zone chauffée par une température uniforme ou gaussienne. Une relation directe entre la taille du défaut et les fréquences de certains pics qui apparaissent sur les spectres des vibrations de la plaque ont été mises en évidence. Celle-ci conviendrait à l’élaboration d’une méthode inverse permettant de dimensionner ces types de défauts. / Many studies in the field of both nondestructive evaluation and testing of mechanical structures have been conducted so far by analyzing the contribution of the microwaves induce acoustic technique. This new non-contact technique can be easily adopted to generate acoustic waves in non-conducting materials. This work begins with studying the lateral vibrations generated within viscoelastic bars hold inside grooved electromagnetic waveguides and subjected to short microwave irradiations. A parametrical model is established in order to predict the shape of the temperature rise within the sample. Results emphasize the fact that these types of waveguides generate a sudden asymmetric temperature rise, which produces some flexural modes. Besides, the development of a 3D numerical model allow the prediction of new vibration modes which are related to the deformations of the bar cross-sections during the sudden thermal heating. Then, direct methods are developed to complete the assessment of the viscoelastic properties of bars placed inside conventional electromagnetic waveguides. Different analytical models are proposed to study the effects of the Poisson ratio either on the ratio between lateral and longitudinal vibrations or on the dispersion of longitudinal waves. An optimization algorithm that allows the Poisson ratio and the real part of the complex slowness evaluation by means of dispersion curves is elaborate before being applied in the specific case of two polymeric bars. Finally, analytical and numerical finite element methods are conducted to analyze the acoustic waves generated by a circular defect (hole) contained in a plate and heated locally by microwaves. Two acoustic approaches are performed to predict the temperature rise form. Furthermore, a nondestructive testing method is highlighted by a direct relationship between the size of the defect and the frequencies of some peaks that appear on the velocity spectra of the plate. This method could be applied to set up an inverse procedure that can be used to size these kinds of defects.

Following the intensive development of isolated (i.e., not coupled with on-chip waveguide) vertically rolled-up microtube ring resonators (VRU-MRRs) for both active and passive applications, a variety of microtube-based devices has been realized. These include microcavity lasers, optical sensors, directional couplers, and active elements in lab-on-a-chip devices. To provide more advanced and complex functionality, the focus of tubular geometry research is now shifting toward (i) refined vertical light transfer in 3D stacks of multiple photonic layers and (ii) to make microfluidic cooling system in the integrated optoelectronic system. Based on this motivation, this PhD research is devoted to the demonstration and the implementation of monolithic integration of VRU-MRRs with photonic waveguides for 3D photonic integration and their optofluidic applications. Prior to integration, high-quality isolated VRU-MRRs on the flat Si substrate are firstly fabricated by the controlled release of differentially strained titanium-dioxide (TiO2) bilayered nanomembranes. The fabricated microtubes support resonance modes for both telecom and visible photonics. The outcome of the isolated VRU-MRRs is a record high Q (≈3.8×10^3) in the telecom wavelength range with optimum tapered optical fiber resonator interaction. To further study the optical modes in the visible and near infrared spectral range, μPL spectroscopy is performed on the isolated VRU-MRRs, which are activated by entrapping various sizes of luminescent nanoparticles (NPs) within the windings of rolled-up nanomembranes based on a flexible, robust and economical method. Moreover, it is realized for the first time, in addition to serving as light sources that NPs-aggregated in isolated VRU-MRRs can produce an optical potential well that can be used to trap optical resonant modes. After achieving all the required parameters for creating a high-quality TiO2 VRU-MRR, the monolithic integration of VRU-MRRs with Si nanophotonic waveguides is experimentally demonstrated, exhibiting a significant step toward 3D photonic integration. The on-chip integration is realized by rolling up 2D pre-strained TiO2 nanomembranes into 3D VRU-MRRs on a microchip which seamlessly expanded over several integrated waveguides. In this intriguing vertical transmission configuration, resonant filtering of optical signals at telecom wavelengths is demonstrated based on ultra-smooth and subwavelength thick-walled VRU-MRRs. Finally, to illustrate the usefulness of the fully integrated VRU-MRRs with photonic waveguides, optofluidic functionalities of the integrated system is investigated. In this work, two methods are performed to explore optofluidic applications of the integrated system. First, the hollow core of an integrated VRU-MRR is uniquely filled with a liquid solution (purified water) by setting one end of the VRU-MRRs in contact with a droplet placed onto the photonic chip via a glass capillary. Second, the outside of an integrated VRU-MRR is fully covered with a big droplet of liquid. Both techniques lead to a significant shift in the WGMs (Δλ≈46 nm). A maximum sensitivity of 140 nm/refractive index unit, is achieved. The achievements of this PhD research open up fascinating opportunities for the realization of massively parallel optofluidic microsystems with more functionality and flexibility for analysis of biomaterials in lab-on-a-tube systems on single chips. It also demonstrates 3D photonic integration in which optical interconnects between multiple photonic layers are required.

O presente trabalho objetiva um estudo de aplicação do Método dos Elementos de Contorno à análise de problemas de propagação de ondas eletromagnéticas. O Método baseia-se numa formulação integral que elimina todas as operações de integração em domínio, restando apenas as de contorno. Inicialmente faz-se um estudo dos fundamentos teóricos do método, apresentando-o de forma genérica e encaminhando sua aplicação à equação de Helmholtz. Os procedimentos computacionais desenvolvidos para a implementação do método viabilizam a solução eficiente de problemas de interesse, envolvendo diferentes meios com ou sem perdas. São apresentados resultados de simulações realizadas que confirmam a aplicabilidade do método, permitindo também uma análise de seu desempenho através da variação de parâmetros, como, por exemplo, número de elementos na discretização e função de interpolação. / This work deals with a study of application of the Boundary Element Method (BEM) directed to electromagnetic guided wave propagation. This method relies on an integral formulation that does not need any domain integration. Only boundary integrations have to be performed. The work begins with a study of the theoretical foundations of the method, presenting its general formulation and then directing it to Helmholtz’s equation solution. Developed computational procedures allow efficient application of the method to real problems with more than one medium, with or without losses. Simulations results are presented which confirm the applicability of the method and allow the analysis of its performance through parameters variation as, for example, the number of discretized elements and interpolation function.