Theoretical and experimental plasmonics is a growing field as a method to create near fields at sub-wavelength distances. In this thesis, a finite-difference time-domain method is used to simulate electromagnetic waves onto a thin film that present of nickel nanorods with sharp apexes. The absorbed, transmitted, and reflected fields were shown to depend linearly on silver film thickness and nanotip length. The electric field is visualized along the tip to show strong charge density along the base of the tip’s apex and how that density changes for wavelength, metal, and source tilt. Lastly, the study shows gold film on the nanotip apex provides the largest enhancement of the electric field for the wavelengths 532, 572, and 633 nm.

Master of Science / Department of Chemistry / Jun Li / With the worldly consumption of energy continually increasing and the main source of this energy, fossil fuels, slowly being depleted, the need for alternate sources of energy is becoming more and more pertinent. One promising approach for an alternate method of producing energy is using solar cells to convert sunlight into electrical energy through photovoltaic processes. Currently, the most widely commercialized solar cell is based on a single p-n junction with silicon. Silicon solar cells are able to obtain high efficiencies but the downfall is, in order to achieve this performance, expensive fabrication techniques and high purity materials must be employed. An encouraging cheaper alternative to silicon solar cells is the dye-sensitized solar cell (DSSC) which is based on a wide band gap semiconductor sensitized with a visible light absorbing species. While DSSCs are less expensive, their efficiencies are still quite low compared to silicon. In this thesis, Grätzel cells (DSSCs based on TiO2 NPs) were fabricated and optimized to establish a reliable standard for further improvement. Optimized single layer GSCs and double layer GSCs showing efficiencies >4% and efficiencies of ~6%, respectively, were obtained. Recently, the incorporation of metallic nanoparticles into silicon solar cells has shown improved efficiency and lowered material cost. By utilizing their plasmonic properties, incident light can be scattered, concentrated, or trapped thereby increasing the effective path length of the cell and allowing the physical thickness of the cell to be reduced. This concept can also be applied to DSSCs, which are cheaper and easier to fabricate than Si based solar cells but are limited by lower efficiency. By incorporating 20 nm diameter Au nanoparticles (Au NPs) into DSSCs at the FTO/TiO2 interface as sub wavelength antennae, average photocurrent enhancements of 14% (maximum up to ~32%) and average efficiency enhancements of 13% (maximum up to ~23% ) were achieved with well dispersed, low surface coverages of nanoparticles. However the Au nanoparticle solar cell (AuNPSC) performance is very sensitive to the surface coverage, the extent of nanoparticle aggregation, and the electrolyte employed, all of which can lead to detrimental effects (decreased performances) on the devices.

Le projet de thèse est divisé en deux parties. D’une part, la génération directionnelle et singulière de plasmons de surface (SPPs) par des ouvertures nanométriques a été réalisé et optimisé par le biais de microscopie de fuites radiatives (LRM). Nous démontrons expéri- mentalement qu’une structure plasmonique composée de nano-ouvertures en forme de T et Λ permet de contrôler le couplage unidirectionnel et radialdes SPPs grâce au spin de la lumière incidente. Pour confirmer nos résultats expérimentaux, nous développons un modèle analytique qui décrit les coupleurs plasmoniques constitués de nano-ouvertures par représentation multidipolaire, permettant ainsi une explication théorique de la directionalité et de la formation de vortex plasmonique. L’optimisation des paramètres géométriques tels que l’angle au sommet des ouvertures en forme de Λ montre la possibilité de maximiser la directivité et le taux d’extinction à la fois pour le couplage directionnel et la génération des vortex dans le champ lointain. Parailleurs, notre méthode basée sur la détection LRM, permet une analyse quantitative et est avérée être une technique de caractérisation sophistiquée pour cartographier le champ plasmonique. Il fournit également plusieurs nouvelles possibilités pour la focalisation de SPP contrôlée en polarisation.D’autre part,le couplage spin-orbite de la lumière dans un guide et son effet réciproque sont réalisées et confirmées expérimentalement et théoriquement. Les coupleurs et découpleurs réseaux sur le guide d’ondes sont d’abord développés et étudiés. La sortie parfaite de la lumière confinée par le découpleur nous offre la possibilité de détecter les ondes guidées. La fluorescence des nanocristaux déposés sur la surface de l’échantillon montre une autre possibilité de visualiser directement la propagation de la lumière dans le guide d’onde. Le couplage directionnel contrôlé par spin est réalisé par des antennes en forme de Λ et est confirmé par des images en champ sombre avec des découpleurs et des images de fluorescence. En outre, l’effet réciproque est observé avec une imperfection de polarisation de sortie qui est expliqué théoriquement par le fait que les ordres de diffraction par les antennes en forme de Λ influent sur les états de polarisation finaux. Ainsi, l’effet réciproque est parfaitement réalisé par la sélection d’une région spécifique de diffraction dans le plan de Fourier. La caractérisation quantitative des interactions spin-orbite nous permet d’envisager le développement de nouveaux coupleurs directionnels dans le domaine de la nanophotonique tels que le traitement quantique de l’information. / In this project, two contributions are reported. Firstly, the directional and singular generation of Surface Plasmon Polaritons (SPPs) in the nanoapertures is investigated using the Leakage Radiation Microscopy (LRM). We demonstrate experimentally spin-driven directional coupling as well as singularity (inward) and vortex (outward radial coupling) of SPPs by nanostructures built with T-shaped and Λ-shaped apertures.To support our experimental findings, we develop an analytical model based on a multidipolar representation of Λ- andT-shaped aperture plasmonic couplers, allowing a theoretical explanation of both directionality and singular SPP formation. The optimal apex angle of Λ-shaped apertures shows the possibility to maximize the directiviy and extinction ratio for both directional coupling and singular SPP generation in the far field. Besides, our method based on LRM detection, allows quantitative analysis and is proven to be a sophisticated characterization technique for mapping the SPP vortex field.It also provides several new possibilities for polarization-controlled SPP sub-wavelength focusing.Secondly, the spin-orbit coupling of light into a photonic waveguide and its reciprocal effect are realized and confirmed both experimentally and theoretically. Coupler and decoupler gratings on the waveguide are firstly developed and investigated. The radiation of the confined light from the decoupler provides us a possibility to detect the guided waves. The fluorescence of nanocrystals deposited on the sample surface shows another possibility to directly visualize the light propagation in the waveguide. The spin-driven directional coupling is achieved by Λ-shaped antennas and is certified by the dark field images with decouplers and the fluorescence images. Furthermore, the reverse effect is observed with an imperfection of output polarization which is explained that the diffraction orders by the Λ-shaped apertures influence the final polarization states based on an analytical model. Thus, the reciprocal effect is realized by selecting the specific diffraction region on the Fourier plane. We believe that the quantitative characterization of spin-orbit interactions will pave the way for developing new directional couplers in the field of nanophotonics such as quantum information processing and so forth.

"There is plenty of room at the bottom." This bold and prophetic statement from Nobel laureate Richard Feynman back in 1950s at Cal Tech launched the Nano Age and predicted, quite accurately, the explosion in nanoscience and nanotechnology. Now this is a fast developing area in both science and technology. Many think this would bring the greatest technological revolution in the history of mankind. To understand electronic and optical properties of nanostructures, the following problems have been studied. In particular, intensity of mid-infrared light transmitted through a metallic diffraction grating has been theoretically studied. It has been shown that for s-polarized light the enhancement of the transmitted light is much stronger than for p-polarized light. By tuning the parameters of the diffraction grating enhancement can be increased by a few orders of magnitude. The spatial distribution of the transmitted light is highly nonuniform with very sharp peaks, which have the spatial widths about 10 nm. Furthermore, under the ultra fast response in nanostructures, the following two related goals have been proved: (a) the two-photon coherent control allows one to dynamically control electron emission from randomly rough surfaces, which is localized within a few nanometers. (b) the photoelectron emission from metal nanostructures in the strong-field (quasistationary) regime allows coherent control with extremely high contrast, suitable for nanoelectronics applications. To investigate the electron transport properties of two dimensional carbon called graphene, a localization of an electron in a graphene quantum dot with a sharp boundary has been considered. It has been found that if the parameters of the confinement potential satisfy a special condition then the electron can be strongly localized in such quantum dot. Also the energy spectra of an electron in a graphene quantum ring has been analyzed. Furthermore, it has been shown that in a double dot system some energy states becomes strongly localized with an infinite trapping time. Such states are achieved only at one value of the inter-dot separation. Also a periodic array of quantum dots in graphene have been considered. In this case the states with infinitely large trapping time are realized at all values of inter-dot separation smaller than some critical value.

Surface plasmon waves are transverse magnetic electromagnetic waves propagating along a dielectric-metal interface. These waves can be excited by resonant absorption of electromagnetic radiation leading to surface plasmon resonance (SPR) at the interface. The resonance is characterised by a reduction in the intensity of the reflected light at the interface due to strong coupling of incident optical radiation to surface plasmons. This gives rise to a minimum at a sharply defined angle of incidence, referred to as SPR angle or plasmon angle. The phenomenon of SPR has been extensively used in the past to develop reflective type optical devices for sensing applications on account of the high dielectric function dependent sensitivity of the SPR angle. Basically, devices which exhibit this phenomenon have a structure consisting of a metal film sandwiched between two dielectrics. The reflectivity of such a device is theoretically modelled based on either theory of thin films (Fresnel's model) or theory of resonance (Lorentzian model). These models have very effectively predicted the behaviour of such devices based on the shift in SPR angle due to the dielectric function variations. We have been investigating the SPR device for intensity based metrological applications utilising its high angular sensitive reflectivity, with fixed SPR angle. In these intensity based applications or measurements, direct and simple expressions connecting intensity variation to angular change are unavailable in the literature and quantitative estimation or data inversion is based on either curve fitting or iterative methods. Fresnel and Lorentzian models have commonly been used in the experiments but data inversion through the Fresnel model is computationally complex and the Lorentzian model, although less complicated, gives erroneous results due to its approximate nature. In order to obtain a simple expression between intensity variation and the angular change, we have re-looked at the two existing models in order to derive an expression which has the simplicity of the Lorentzian model and the accuracy of the Fresnel model in the experiments with fixed plasmon angles. These efforts have been particularly directed to understand the relationship between intensity variation and meteorologically important properties of such devices. This thesis is an attempt to summarize the computational results which have led us to some novel experimental methodologies which have been used to exploit these devices for inverse type, illumination specific, SPR based applications. The work presented in this thesis is organised in six chapters. Chapter 1, gives an overview of optical sensing, theory of surface plasmons, excitation schemes for surface plasmons, development of the SPR device and its characterisation. It also includes a brief literature review in the area of surface plasmon resonance, covering both the theoretical and experimental aspects. The objectives of the work and the scope of the thesis are also presented. Chapter 2 presents the existing models of SPR device, based on Fresnel's and the Lorentzian models. These models allow reflectance calculations from knowledge of either the optical parameters that describe the layers or the parameters of the waves that propagate through them. Using these models, the inverse problem of estimating either the angle of incidence or the optical constants of the layers of the sensors utilizing the intensity based measurements is generally difficult. In order to solve this problem where the plasmon angles are fixed, a modified formalism for the angle scanned SPR spectrum of a three-layered SPR sensor is presented in this chapter. The new formalism regroups the wave vector parameters of Lorentzian resonance theory into a set of non-dimensional parameters 1, 4K and R. The new reflectivity index (1), which is the ratio of reflectance to the absorptance, has been introduced to help explain the physical processes underlying the device operation in the high sensitivity region of the characteristics. The parameter 4Kis a constant of the device and it depends on the dielectric constants of the device. This is a new SPR index and is identified at a point where reflectance and absorptance match. Parameter R is related to the loss mechanisms in the device and will be explained in detail in Chapter 3. This simple model links the new reflectivity index (1) to the angular detune from SPR angle (ΔƟ) and it brings out a parabolic variation of ΔƟ with 1. In this chapter the mathematical derivation of the proposed model is presented and the significance of the new parameters 1, 4Kand Rare discussed. Chapter 3 evaluates the characteristic nature of errors associated with the predictions from the proposed model and presents methods for neutralizing them. It is demonstrated with the help of the function K which is linearly dependant on 1, that the proposed model predicts the reflectance from the wave vector parameters as accurately as the Fresnel's model. This R parameter explains the slowly varying nature of the radiative loss with the angle of incidence and this variation contributes significantly to the SPR characteristics. As a consequence, it is found that the SPR characteristics can be represented as a sum of two primary functions which are parabolic and linear, respectively, and this leads to the easy explanation of the SPR characteristics. The present chapter also discusses a new observation that the angle-scanned SPR spectrum can be accurately described using a straight line in intercept form. The intercept value depends on 4Kand the slope depends on K. In addition to this, this chapter discusses practical methods for estimation of the intercept and the slope of such a straight line which are functions of the key wave vector parameters. A detailed discussion on the proposed model highlighting its advantages for inverse type, illumination specific, SPR-based applications with fixed SPR angle is also presented. Chapter 4 describes the applications of the proposed model for optical constant measurements. The first part highlights a new approach for the determination of the dielectric constants of the metal film used for the optimised- or nearly-optimised SPR sensors using the proposed model. In the complex dielectric constant, the real part is calculated from the SPR angle and the imaginary part from 4K. A discussion on the dielectric constant study of silver and gold metal film is presented. The advantages of the proposed approach such as its simplicity and direct methodology are then discussed. The second part of the chapter also proposes a new approach to carry out measurements on the absorbance of the medium with enhanced sensitivity utilising the parameter 4K It describes a computational study on the variation of 4K values with the dielectric function and highlights the relationship of 4K variation due to the imaginary part of the dielectric function (absorption) of the samples. The physical processes causing a change in the value of 4Kdue to absorption is also discussed along with some computational results. Chapter 5 reports the study carried out to bring out the importance of the new index,4K in metrological applications. Based on the new model, the effect of the laser beam divergence on SPR curve is studied. This chapter first of all discusses the design of the SPR device and the new methods for the development and characterisation of such a device. Details of the experimental procedure for laser divergence evaluation are proposed along with some of the significant computational results. Furthermore, a few applications such as focal length measurement of optical lenses, micro-displacement measurement based on the divergence of the laser beam are also reported. Since the SPR characteristics can be represented easily using the new model, the angular dependent intensity variation can be utilised for some metrological applications with simple data processing. In this context, the high angular sensitivity of the SPR device is studied and some applications such as micro-displacement measurement, pressure measurement and optical wedge angle measurement are included to highlight the above advantages. The last chapter, Chapter 6, gives a summary and conclusions of the work presented in the thesis. The scope for future investigations is also included in this chapter.

Illuminated metal nanoparticles (MNPs) feature collective electron oscillations (so-called localized surface plasmons or LSPs) which facilitate concentrating light-matter interactions to length scales below the diffraction limit. Part I of this book describes two applications of this confinement effect. Firstly, the use of single particles as optically active probes for scanning near-field optical microscopy is demonstrated. Secondly, fluorescence enhancement in the vicinity of a single MNP is described theoretically. This description focuses on how the particle diameter and the surrounding medium influence the enhancement. It turned out that in these two examples the optical signal levels can be improved by manipulating the spectral LSP resonance position of the particles. This finding triggered the search for a method allowing optical particle tuning. Part II of this thesis describes an approach which allows such a spectral LSP manipulation on the single-particle level. The method makes use of the optically induced reduction of metal salt complexes in solution, which leads to the deposition of thin layers of elemental metal onto single, intentionally addressed particles. The deposition process is monitored by optical LSP analysis, and thus the tuning of the optical particle properties is controlled in situ. With this technique, a manipulation of both the size and the shape of single nanoparticles was achieved. Initial experiences were gained by manipulating spherical and ellipsoidal gold particles, for which a red- and a blueshift of the LSP resonance was observed, respectively. The insights obtained from these experiments were then applied to tune the interparticle separation in nanoparticle pairs, i.e., to tune the resonance wavelength of these plasmonic nanoresonators. Subsequently, single resonators were used to reshape the fluorescence emission spectrum of organic molecules. Besides size and shape, also material parameters such as the surface roughness and the surface material composition influence the optical properties of MNPs. Both aspects are addressed using the example of rough platinum spheres and demonstrating the fabrication of bimetallic core-shell particles. As the material compositon of particles not only influences their optical, but for example also their catalytic or magnetic properties, photochemical metal deposition with in-situ optical LSP read-out builds a bridge to other fields of nanoscience. The presented method is a versatile tool for the fabrication and manipulation of nanostructures, and it is not limited to the field of plasmonics. / Metallische Nanopartikel (MNP) weisen unter Beleuchtung kollektive Schwingungen des Elektronengases auf (sogenannte lokalisierte Oberflächenplasmonen oder LOP). Die dadurch entstehende elektromagnetische Feldverteilung um die Partikel erlaubt die Konzentration von Licht-Materie-Wechselwirkungen auf einen Größenbereich unterhalb des Beugungslimits. In Teil I des vorliegenden Buches werden zwei Anwendungen dieses Konzentrationseffekts beschrieben. Zum einen wird die Verwendung eines einzelnen Partikels als Rastersonde für die optische Nahfeldmikroskopie gezeigt. Zum anderen wird die Fluoreszenzverstärkung in der unmittelbaren Umgebung eines Partikels untersucht. In letzterem Fall liegt der Fokus auf dem Einfluss der Partikelgröße und des Umgebungsmediums auf den Verstärkungsfaktor. Beide Untersuchungen zeigten, dass die Stärke der auftretenden optischen Signale von einer gezielten Steuerung der LOPResonanz profitieren kann. Diese Erkenntnis führte zur Entwicklung einer Methode, welche eine solche spektrale LOP-Steuerung erlaubt. Mit der in Teil II beschriebenen photochemischen Abscheidung von Metall auf einzelne Partikel wurde ein geeigneter Ansatz gefunden. Dabei wird die optisch induzierte Reduktion von Metallsalzkomplexen in einer Lösung ausgenutzt, um dünne Metallschichten auf gezielt ausgewählte Partikel aufzubringen. Der Abscheidungsprozess wird optisch über die Änderung der LOP-Resonanz des belichteten Partikels überwacht. Somit können dessen optische Eigenschaften gezielt in situ eingestellt werden. Mit der beschriebenen Technik können die Größe und die Form einzelner metallischer Partikel beeinflusst werden, was sich in einer Rot- bzw. Blauverschiebung der LOPResonanz äußert. Dieses Prinzip konnte zuerst an sphärischen und ellipsoidalen Goldpartikeln gezeigt werden. Die gewonnen Erkenntnisse wurden dann auf die gezielte Einstellung des Teilchenabstandes in Partikelpaaren übertragen, d. h., die Resonanzwellenlänge solcher plasmonischer Nanoresonatoren wurde gezielt manipuliert. Die Resonatoren konnten in einem zweiten Schritt zur Steuerung des Fluoreszenzspektrums organischer Moleküle eingesetzt werden. Neben Größe und Form spielen auch Materialparameter wie die Oberflächenrauigkeit und das Oberflächenmaterial eine wichtige Rolle für die optischen Eigenschaften der Partikel. Diese Parameter wurden am Beispiel von rauen Platinpartikeln sowie an bimetallischen Kern-Schale-Partikeln untersucht. Da das Oberflächenmaterial nicht nur die optischen, sondern z. B. auch katalytischen und magnetischen Eigenschaften der Partikel beeinflusst, verbindet die vorgestellte Methode die Plasmonik mit vielen anderen Bereichen der Nanotechnologie. Sie stellt eine vielseitige Technik zur Herstellung und Manipulation von Nanostrukturen dar, ohne dabei auf die Nanooptik limitiert zu sein.

abstract: This dissertation presents research findings regarding the exploitation of localized surface plasmon (LSP) of epitaxial Ag islands as a means to enhance the photoluminescence (PL) of Germanium (Ge) quantum dots (QDs). The first step of this project was to investigate the growth of Ag islands on Si(100). Two distinct families of Ag islands have been observed. “Big islands” are clearly faceted and have basal dimensions in the few hundred nm to μm range with a variety of basal shapes. “Small islands” are not clearly faceted and have basal diameters in the 10s of nm range. Big islands form via a nucleation and growth mechanism, and small islands form via precipitation of Ag contained in a planar layer between the big islands that is thicker than the Stranski-Krastanov layer existing at room-temperature. The pseudodielectric functions of epitaxial Ag islands on Si(100) substrates were investigated with spectroscopic ellipsometry. Comparing the experimental pseudodielectric functions obtained for Si with and without Ag islands clearly identifies a plasmon mode with its dipole moment perpendicular to the surface. This observation is confirmed using a simulation based on the thin island film (TIF) theory. Another mode parallel to the surface may be identified by comparing the experimental pseudodielectric functions with the simulated ones from TIF theory. Additional results suggest that the LSP energy of Ag islands can be tuned from the ultra-violet to the infrared range by an amorphous Si (α-Si) cap layer. Heterostructures were grown that incorporated Ge QDs, an epitaxial Si cap layer and Ag islands grown atop the Si cap layer. Optimum growth conditions for distinct Ge dot ensembles and Si cap layers were obtained. The density of Ag islands grown on the Si cap layer depends on its thickness. Factors contributing to this effect may include the average strain and Ge concentration on the surface of the Si cap layer. The effects of the Ag LSP on the PL of Ge coherent domes were investigated for both α-Si capped and bare Ag islands. For samples with low-doped substrates, the LSPs reduce the Ge dot-related PL when the Si cap layer is below some critical thickness and have no effect on the PL when the Si cap layer is above the critical thickness. For samples grown on highly-doped wafers, the LSP of bare Ag islands enhanced the PL of Ge QDs by ~ 40%. / Dissertation/Thesis / Doctoral Dissertation Physics 2015

The diploma thesis deals with the optical response of resonant infrared antennas on silicon dioxide thin film. At first, theory of electromagnetism at metal/dielectric interfaces is described. In the next part, experimental and numerical methods used in the thesis are described and strong coupling between two systems is explained. In the final part of the thesis, the optical response of resonant infrared antennas on a silicon dioxide thin film is studied by Fourier transform Infrared Spectroscopy and FDTD simulations which both show the strong coupling between localized plasmons and phonons in silicon dioxide.

The presented diploma thesis is focused on the Localized Surface Plasmons (LSP). The far-field optical response of the colloidal solutions of gold nanoparticles caused by LSP was investigated and compared with the numerical calculations. For the simulations, the Discrete Dipole Approximation (DDA) and Finite-Difference Time Domain (FDTD) techniques were employed. In particular, the shape and size effects of spherical particles and nanorods were studied. The simulations performed by both methods are in a good agreement for the spheres. For the nanorods, the resonance was found to be affected markedly by their geometry. Also, broader resonance peaks were found. This effect was assigned to the sample size distribution and its influence is discussed by comparing the simulations with experiments. In addition, synthesis of nanorods was carried out as well. Finally, the results on the study of optical properties of silver clusters formed under equilibrium conditions are presented.

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