As visual display technologies move closer to producing true three dimensional displays, pixel technologies need to be ever smaller and more functional to keep pushing the boundaries. Plasmonic metasurfaces have been shown to control the phase, amplitude and/or polarisation of incoming electromagnetic radiation. Nano-fabrication advancements have resulted in the fabrication of the building blocks of such metasurfaces at nano-scale dimensions, allowing the surfaces to interact with visible light, opening up applications in visual displays. As pixel sizes shrink, smaller colour filters will be required. The excitation of plasmonic resonances in metallic nano-structure arrays have resulted in colour filters an order of magnitude smaller than what is currently commercially available. As colour filters, plasmonic metasurfaces offer numerous advantages over pigment-based colour filters used in modern commercial liquid crystal (LC) displays, including environmental, size and longevity factors. Furthermore, exploiting the wavelength and polarisation dependant scattering of nano-structures, optical components, including lenses, waveplates and holograms containing sub-wavelength pixels have been demonstrated in the visible wavelength spectrum. The metasurfaces are able to mould optical wavefronts into arbitrary shapes with sub-wavelength resolution by introducing spatial variations in the optical response of the light scatterers. The applications demonstrated so far are, on the whole, static devices, that is to say their optical properties may not be altered post fabrication. To realise the full potential of plasmonic metasurfaces to visual applications the devices must be made active. By activating structural colour surfaces, not only may pixel densities potentially be increased simply by removing the need for separate red, green and blue filters, but a new class of high definition ultra-thin display devices may be accessible, whilst the dynamic manipulation of the wavelength and polarisation properties of nano-scattering elements would open up the possibilities to create sub-wavelength holographic pixels. This thesis investigates ways to activate static metasurfaces for colour, flat optic, and holographic applications. First, methods of dynamic control of the structural colour of plasmonic nano-hole arrays are investigated. By combining nano-hole arrays with liquid crystals, transmissive electrically tunable LC-nanohole pixels operating across the visible spectrum with un-polarised input light are experimentally demonstrated. An output analyser in combination with a nematic LC layer enables pixel colour to be electronically controlled through an applied voltage across the device, where LC re-orientation leads to tunable mixing of the relative contributions from the plasmonic colour input. Furthermore, exploiting the strong surface anchoring effects between an aluminium surface and LC molecules a twisted nematic LC cell, using a metallic grating as a combined colour filter, electrode and alignment layer, was shown to act a variable amplitude colour filter. The colour of these pixels was improved greatly utilising a grating-insulator-grating structure unique to this work. Second, a new process for fabricating aluminium nano-rod structures embedded in an elastomeric medium, with high spatial accuracy, is presented. The process is used to create nano-rod plasmonic resonator arrays whose optical properties may be altered by mechanical deformation. The pattern transfer process is further utilised to create dynamic optical elements, including nano-rod arrays for colour filters, tunable focal length Fresnel zone plates and photon sieves, and stretchable holograms with dynamic replay fields.

Many studies have demonstrated a connection between the fibrillin matrix and TGFβ signalling, but at present the mechanistic basis for this link is unclear. An interaction between the C-terminus of Latent TGFβ Binding Protein 1 (LTBP1) and the N-terminus of fibrillin1 has previously been identified, and may have the potential to directly link the fibrillin matrix to TGFβ signalling. To investigate the structural basis for this interaction, several multi-domain fragments of fibrillin1 and LTBP1 were expressed prokaryotically and refolded in vitro. After initial characterisation to confirm folding, the structure, dynamics, and interdomain interactions of these fragments were investigated in more detail using NMR techniques. Domains in both LTBP1 and fibrillin1 appear to demonstrate folds consistent with homologous structures, and while the LTBP1 C-terminal cbEGF14-TB3-EGF3-cbEGF15 region contains many flexible linkers and few interdomain interactions, the fibrillin1 EGF2-EGF3-hyb1-cbEGF1 region appears rigid, with interfaces forming between all domains present. SPR studies were used to demonstrate binding between distinct LTBP1 and fibrillin fragments, suggesting interactions between multiple domains are involved in the LTBP1-fibrillin1 interaction. The binding sites involved were then mapped to specific residues using HSQC titration studies, and structural models for the LTBP1-fibrillin1 interaction were generated based on these data. Predictions from these models were used to target residues for site-directed mutagenesis, based on their potential involvement in salt bridges, and when certain residues were replaced with those of opposite charge, reductions in binding could be seen in the SPR assay. These key residues were consistent with a particular model of the LTBP1-fibrillin1 interaction, as derived from the HSQC titration data. The conservation of potential binding site residues through deuterostome evolution also supports an important biological role for the LTBP-fibrillin interaction.

Cette thèse porte sur l’étude mathématique des interactions entre la lumière et certains types de nanoparticules.À l’échelle du nanomètre, des particules métalliques comme l’or ou l’argent subissent un phénomène de résonance lorsque leurs électrons libres interagissent avec un champ électromagnétique. Cette interaction produit une augmentation du champs électrique proche et lointain, leur permettant d’améliorer la luminosité et la directivité de la lumière, confinant des champs électromagnétiques dans des directions avantageuses. Ce phénomène, appelé "résonances plasmoniques pour des nanoparticules" ouvre une porte sur une large gamme d’applications, des nouvelles techniques d’imagerie médicale à des panneaux solaires efficaces. En utilisant des techniques issues des potentiels de couches et de la théorie de la perturbation,nous proposons une étude de la dispersion d’ondes électromagnétiques par une et plusieurs nanoparticules plasmoniques, dans le cadre quasi-statique, Helmholtz et Maxwell. Nous étudions ensuite certaines applications tel que la génération de chaleur, les métasurfaces et l’imagerie super-résolue. / This thesis deals with the mathematical study of the interactions between light and certain types of nanoparticles. At the nanometer scale, metal particles such as gold or silver undergo a resonance phenomenon when their free electrons interact with an electromagnetic field. This interaction results in an enhancement of the near and far electric field, enabling them to improve the brightness and the directivity of the light, confining electromagnetic fields in advantageous directions. This phenomenon, called "plasmonic resonances for nanoparticles", opens a door to a wide range of applications, from new medical imaging techniques to efficient solar panels. Using layer potentials techniques and perturbation theory, we proposea study of the scattering of electromagnetic waves by one and several plasmonic nanoparticles in the quasi-static, Helmholtz and Maxwell framework. We then study some applications such as heat generation, metasurfaces and super-resolution.