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Local Structural and Optical Characterization of Photonic Crystals by Back Focal Plane Imaging and SpectroscopyWagner, Rebecca 12 March 2015 (has links)
This thesis establishes methods to locally and effciently detect the fluorescence from photonic crystals (PCs) in dependence on wavelength and direction. These are applied to three dimensional (3D) PCs grown by vertical deposition of polystyrene beads. The experiments allow conclusions about the local 3D structure of a sample, about defects in its volume and about spatial structural variations. They thus provide more information than typical spectroscopy measurements that average over large areas and methods that only image the surface structure like scanning electron microscopy.
A focused laser is used to excite emitters in the sample only locally. The fluorescence is then collected by a microscope objective. Every point in this objective’s back focal plane (BFP) corresponds to a certain direction. This property is utilized in two ways.
When observing a small spectral range of the emission in the BFP, stop bands appear as intensity minima since they hinder the emission into the corresponding directions. Thus, back focal plane imaging (BFPI) allows to visualize stop bands of many directions at the same time. The detected patterns permit to find the in-plane and out-of-plane orientation of the PC lattice and to conclude on the presence of stacking faults. Spatial variations of the structure are observed on a length scale of a few micrometers. The depth of the stop band is reduced at sample positions, where structural changes occur.
In back focal plane spectroscopy (BFPS), a slit selects light from certain points in the BFP, which is spectrally dispersed subsequently. This allows to record spectra from many directions simultaneously. From them, a lattice compression along the sample normal of about 4% is found. Small deformations are also observed for other directions. Scattering at defects redistributes the emission. This increases the detected intensity compared to homogeneous media at some stop band edges in a broad spectral range for samples thicker than the scattering mean free path. Thinner samples show a narrow enhancement due to an increase in the fractional density of optical states and thus in emission.
BFPI and BFPS are also used to observe the growth of PCs from drying droplets. The experiments show that the beads initially form a non-close packed lattice. This causes stress as the lattice constant decreases, which is released by cracking of the PCs.
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Design, Synthesis and Incorporation of Functional Additives into Multilayered Polymer FilmsLott, Joseph Robert 15 March 2011 (has links)
No description available.
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PARALLEL FABRICATION OF PHOTONIC CRYSTALS USING INTERFERENCE LITHOGRAPHYCHINCHOLI, ASHWIN 13 July 2005 (has links)
No description available.
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Theoretical study of light and sound interaction in phoxonic crystal structuresEscalante Fernández, José María 19 November 2013 (has links)
En esta tesis se realiza un estudio teórico de la interacción luz-sonido en estructuras foxonicas,
con las cuales es posible el control de la luz y el sonido a la misma vez.
Esta interacción en dichas estructuras se estudia, tanto desde un punto de vista macroscópico
(diseño de estructuras para el confinamiento y guiado de ondas electromagnéticas y elásticas)
como microscópico (estudio de la interacción fotón-fonón en microcavidades y desarrollo
teórico de modelos cuánticos para la comprensión de dicha interacción). / Escalante Fernández, JM. (2013). Theoretical study of light and sound interaction in phoxonic crystal structures [Tesis doctoral]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/33754
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Etude et développement de nano-antennes fibrées pour la microscopie en champ proche optique et la nano-photonique / Study and development of fiber nano-antennas for scanning near-field optical microscopy and nano-photonicsMivelle, Mathieu 08 December 2011 (has links)
Dans la première partie de cette thèse, nous tirons parti du concept de nano-antenne optique afind'apporter une solution innovante au problème d'interprétation de la microscopie champ procheoptique (SNOM). En effet, il est connu que certaines nano-antennes développent des réponsesoptiques dipolaires. Dans cette thèse nous démontrons comment l’utilisation d’une nano-ouverturepapillon (nano-antenne dipolaire), à l’extrémité d’une pointe SNOM, permet de détecter et collecteruniquement une seule composante du champ proche électrique. Ce résultat est démontré d’unpoint de vue théorique par l’utilisation de simulation FDTD (Finite Difference Time Domain) et d’unpoint de vue expérimental par la caractérisation, par cette pointe innovante, d´échantillonsdiélectriques (réseaux, cristaux photoniques) et métalliques (milieux désordonnés plasmoniques).Dans une deuxième partie, nous démontrons comment la sonde développée dans la premièrepartie, peut être utilisée comme détecteur du signal émis par un nano-émetteurs (NE) unique. Il estétudié dans cette partie l’effet de couplage entre ces deux objets. Dans un premier temps, après ladescription complète des grandeurs caractéristiques d’un NE, nous démontrons théoriquementl’effet de la pointe sur la réduction du temps de vie de l’état excité et l’augmentation de lafluorescence d’un NE, en régime saturé et non saturé. Puis dans un deuxième temps nousdémontrons expérimentalement comment cette sonde réduit le temps de vie de l’état excité deboites quantiques placées à son extrémité, en comparaison de pointes SNOM plus conventionnellestelle que la pointe diélectrique et la pointe à ouverture circulaire. / In the first part of this manuscript, we use in our advantage the concept of optical nano-antennas, toget new solutions on the interpretation problems of scanning near-field optical microscope (SNOM)images. Indeed, it is known that some of the developed nano-antennas can express dipolarbehaviours. In this manuscript, we show how a bowtie nano-aperture (dipolar nano-antenna)embedded at the apex of a SNOM probe, can be used to detect and collect only one component ofthe electric near-field. This result is demonstrated as well theoretically, by the use of FDTD (FiniteDifference Time Domain) codes, as experimentally, by the characterisation with this tip, of dielectricsamples (diffraction grating and photonic crystals) and metallic ones (random plasmonic medium).In a second part, we show how the tip previously described, can be used as a detector of the signalfrom single emitter (SE). We study in this part the coupling and interactions between those twoobjects. After a full description of a two level system characteristics, we show theoretically the effectof our probe on the reduction of the excited state life time and the enhancement of thefluorescence of the SE, in both regime, saturated and non-saturated. Then we describeexperimentally how our special tip reduces the excited state life time of quantum dots placed at theapex of it, respect to more conventional SNOM probes as the dielectric and the circular apertureones.
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Improving the light yield and timing resolution of scintillator-based detectors for positron emission tomographyThalhammer, Christof 06 July 2015 (has links)
Positronen-Emissions-Tomographie (PET) ist eine funktionelle medizinische Bildgebungstechnik. Die Lichtausbeute und Zeitauflösung Szintillator basierter PET Detektoren wird von diversen optischen Prozessen begrenzt. Dazu gehört die Lichtauskopplung aus Medien mit hohem Brechungsindex sowie Sensitivitätsbegrenzungen der Photodetektoren. Diese Arbeit studiert mikro- und nano-optische Ansätze um diese Einschränkungen zu überwinden mit dem Ziel das Signal-Rausch Verhältnis sowie die Bildqualität zu verbessern. Dafür wird ein Lichtkonzentrator vorgeschlagen um die Sensitivität von Silizium Photomultipliern zu erhöhen sowie dünne Schichten photonischer Kristalle um die Lichtauskopplung aus Szintillatoren zu verbessern. Die Ansätze werden mit optischen Monte Carlo Simulationen studiert, wobei die Beugungseigenschaften phot. Kristalle hierbei durch eine neuartige kombinierte Methode berücksichtigt werden. Proben der phot. Kristalle und Lichtkonzentratoren wurden mit Fertigungsprozessen der Halbleitertechnologie hergestellt und mit Hilfe eines Goniometer Aufbaus charakterisiert. Die simulierten Eigenschaften konnten hiermit sehr gut experimentell reproduziert werden. Daraufhin wurden Simulationen durchgeführt um den Einfluss beider Konzepte auf die Charakteristika eines PET Detektors zu untersuchen. Diese sagen signifikante Verbesserungen der Lichtausbeute und Zeitauflösung voraus. Darüber hinaus zeigen sie, dass sich auch die Kombination beider Ansätze positiv auf die Detektoreigenschaften auswirken. Diese Ergebnisse wurden in Lichtkonzentrator-Experimenten mit einzelnen Szintillatoren bestätigt. Da die Herstellung phot. Kristalle eine große technologische Herausforderung darstellt, wurde eine neue Fertigungstechnik namens "direct nano imprinting" entwickelt. Dessen Machbarkeit wurde auf Glasswafern demonstriert. Die Arbeit endet mit einer Diskussion der Vor- und Nachteile von Lichtkonzentratoren und phot. Kristallen und deren Implikationen für zukünftige PET Systeme. / Positron emission tomography (PET) is a powerful medical imaging methodology to study functional processes. The light yield and coincident resolving time (CRT) of scintillator-based PET detectors are constrained by optical processes. These include light trapping in high refractive index media and incomplete light collection by photosensors. This work proposes the use of micro and nano optical devices to overcome these limitations with the ultimate goal to improve the signal-to-noise ratio and overall image quality of PET acquisitions. For this, a light concentrator (LC) to improve the light collection of silicon photomultipliers on the Geiger-cell level is studied. Further, two-dimensional photonic crystals (PhCs) are proposed to reduced light trapping in scintillators. The concepts are studied in detail using optical Monte Carlo simulations. To account for the diffractive properties of PhCs, a novel combined simulation approach is presented that integrates results of a Maxwell solver into a ray tracing algorithm. Samples of LCs and PhCs are fabricated with various semiconductor technologies and evaluated using a goniometer setup. A comparison between measured and simulated angular characteristics reveal very good agreement. Simulation studies of implementing LCs and PhCs into a PET detector module predict significant improvements of the light yield and CRT. Also, combining both concepts indicates no adverse effects but a rather a cumulative benefit for the detector performance. Concentrator experiments with individual scintillators confirm these simulation results. Realizing the challenges of transferring PhCs to scintillators, a novel fabrication method called direct nano imprinting is evaluated. The feasibility of this approach is demonstrated on glass wafers. The work concludes with a discussion of the benefits and drawbacks of LCs and PhCs and their implications for future PET systems.
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Two-Dimensional Photonic Crystals in InP-based MaterialsMulot, Mikaël January 2004 (has links)
Photonic crystals (PhCs) are structures periodic in thedielectric constant. They exhibit a photonic bandgap, i.e., arange of wavelengths for which light propagation is forbidden.Engineering of defects in the PhC lattice offers new ways toconfine and guide light. PhCs have been manufactured usingsemiconductors and other material technologies. This thesisfocuses on two-dimensional PhCs etched in InP-based materials.Only recently, such structures were identified as promisingcandidates for the realization of novel and advanced functionsfor optical communication applications. The primary focus was on fabrication and characterization ofPhC structures in the InP/GaInAsP/InP material system. Thedemands on fabrication are very high: holes as small as100-300nm in diameter have to be etched at least as deep as 2µm. Thus, different etch processes had to be explored andspecifically developed for InP. We have implemented an etchingprocess based on Ar/Cl2chemically assisted ion beam etching (CAIBE), thatrepresents the state of the art PhC etching in InP. Different building blocks were manufactured using thisprocess. A transmission loss of 10dB/mm for a PhC waveguide, areflection of 96.5% for a 4-row mirror and a record qualityfactor of 310 for a 1D cavity were achieved for this materialsystem. With an etch depth of 4.5 µm, optical loss wasfound to be close to the intrinsic limit. PhC-based opticalfilters were demonstrated using (a) a Fabry-Pérot cavityinserted in a PhC waveguide and (b) a contra-directionalcoupler. Lag effect in CAIBE was utilized positively to realizehigh quality PhC taper sections. Using a PhC taper, a couplingefficiency of 70% was demonstrated from a standard ridgewaveguide to a single line defect PhC waveguide. During the course of this work, InP membrane technology wasdeveloped and a Fabry-Pérot cavity with a quality factorof 3200 was demonstrated. Keywords:photonic crystals, photonic bandgap materials,indium phosphide, dry etching, chemically assisted ion beametching, reactive ion etching, electron beam lithography,photonic integrated circuits, optical waveguides, resonantcavities, optical filtering, finite difference time domain,plane wave expansion.
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InP-based photonic crystals : Processing, Material properties and Dispersion effectsBerrier, Audrey January 2008 (has links)
Photonic crystals (PhCs) are periodic dielectric structures that exhibit a photonic bandgap, i.e., a range of wavelength for which light propagation is forbidden. The special band structure related dispersion properties offer a realm of novel functionalities and interesting physical phenomena. PhCs have been manufactured using semiconductors and other material technologies. However, InP-based materials are the main choice for active devices at optical communication wavelengths. This thesis focuses on two-dimensional PhCs in the InP/GaInAsP/InP material system and addresses their fabrication technology and their physical properties covering both material issues and light propagation aspects. Ar/Cl2 chemically assisted ion beam etching was used to etch the photonic crystals. The etching characteristics including feature size dependent etching phenomena were experimentally determined and the underlying etching mechanisms are explained. For the etched PhC holes, aspect ratios around 20 were achieved, with a maximum etch depth of 5 microns for a hole diameter of 300 nm. Optical losses in photonic crystal devices were addressed both in terms of vertical confinement and hole shape and depth. The work also demonstrated that dry etching has a major impact on the properties of the photonic crystal material. The surface Fermi level at the etched hole sidewalls was found to be pinned at 0.12 eV below the conduction band minimum. This is shown to have important consequences on carrier transport. It is also found that, for an InGaAsP quantum well, the surface recombination velocity increases (non-linearly) by more than one order of magnitude as the etch duration is increased, providing evidence for accumulation of sidewall damage. A model based on sputtering theory is developed to qualitatively explain the development of damage. The physics of dispersive phenomena in PhC structures is investigated experimentally and theoretically. Negative refraction was experimentally demonstrated at optical wavelengths, and applied for light focusing. Fourier optics was used to experimentally explore the issue of coupling to Bloch modes inside the PhC slab and to experimentally determine the curvature of the band structure. Finally, dispersive phenomena were used in coupled-cavity waveguides to achieve a slow light regime with a group index of more than 180 and a group velocity dispersion up to 10^7 times that of a conventional fiber. / QC 20100712
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Two-Dimensional Photonic Crystals in InP-based MaterialsMulot, Mikaël January 2004 (has links)
<p>Photonic crystals (PhCs) are structures periodic in thedielectric constant. They exhibit a photonic bandgap, i.e., arange of wavelengths for which light propagation is forbidden.Engineering of defects in the PhC lattice offers new ways toconfine and guide light. PhCs have been manufactured usingsemiconductors and other material technologies. This thesisfocuses on two-dimensional PhCs etched in InP-based materials.Only recently, such structures were identified as promisingcandidates for the realization of novel and advanced functionsfor optical communication applications.</p><p>The primary focus was on fabrication and characterization ofPhC structures in the InP/GaInAsP/InP material system. Thedemands on fabrication are very high: holes as small as100-300nm in diameter have to be etched at least as deep as 2µm. Thus, different etch processes had to be explored andspecifically developed for InP. We have implemented an etchingprocess based on Ar/Cl<sub>2</sub>chemically assisted ion beam etching (CAIBE), thatrepresents the state of the art PhC etching in InP.</p><p>Different building blocks were manufactured using thisprocess. A transmission loss of 10dB/mm for a PhC waveguide, areflection of 96.5% for a 4-row mirror and a record qualityfactor of 310 for a 1D cavity were achieved for this materialsystem. With an etch depth of 4.5 µm, optical loss wasfound to be close to the intrinsic limit. PhC-based opticalfilters were demonstrated using (a) a Fabry-Pérot cavityinserted in a PhC waveguide and (b) a contra-directionalcoupler. Lag effect in CAIBE was utilized positively to realizehigh quality PhC taper sections. Using a PhC taper, a couplingefficiency of 70% was demonstrated from a standard ridgewaveguide to a single line defect PhC waveguide.</p><p>During the course of this work, InP membrane technology wasdeveloped and a Fabry-Pérot cavity with a quality factorof 3200 was demonstrated.</p><p><b>Keywords:</b>photonic crystals, photonic bandgap materials,indium phosphide, dry etching, chemically assisted ion beametching, reactive ion etching, electron beam lithography,photonic integrated circuits, optical waveguides, resonantcavities, optical filtering, finite difference time domain,plane wave expansion.</p>
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Φωτονικά και φωνονικά υλικάΑραβαντινός-Ζαφείρης, Νικόλαος 13 January 2015 (has links)
Στην παρούσα Διδακτορική Διατριβή διερευνώνται αριθμητικά δομές οι οποίες μπορούν να λειτουργήσουν ως φωνονικά ή φωτονικά υλικά. Βασικό χαρακτηριστικό των φωτονικών και των φωνονικών υλικών είναι η ύπαρξη χασμάτων συχνοτήτων στη διάδοση των ηλεκτρομαγνητικών και των ελαστικών κυμάτων αντίστοιχα διαμέσου των δομών αυτών. Αρχικά διερευνήθηκαν αριθμητικά δύο δομές οι οποίες έχουν ήδη χρησιμοποιηθεί ως φωτονικά υλικά και για τις οι οποίες εξετάστηκε κατά πόσο είναι εφικτή λειτουργία τους ως φωνονικά υλικά. Η πρώτη δομή είναι η πολύ γνωστή δομή κατά στρώσεις και η δεύτερη ένας ηχητικός κυματοδηγός «λωρίδα» (slot waveguide) επάνω στον οποίο δομείται ένας φωνονικός κρύσταλλος. Για τους αριθμητικούς υπολογισμούς χρησιμοποιήθηκε η μέθοδος των πεπερασμένων διαφορών στο πεδίο του χρόνου και υπολογίστηκαν το Φάσμα Μετάδοσης καθώς και το διάγραμμα Διασποράς. Στην μελέτη αυτή περιελήφθησαν αρκετά διαφορετικά υλικά όπως το πυρίτιο, η εποξειδική ρητίνη και το βολφράμιο. Διερευνήθηκε επίσης η επίδραση όλων των γεωμετρικών παραμέτρων των δομών. Τα αποτελέσματα έδειξαν ότι οι δομές αυτές φαίνεται να έχουν πολύ ελπιδοφόρα χαρακτηριστικά ως φωνονικοί κρύσταλλοι. Υπό ορισμένες προϋποθέσεις μάλιστα μπορεί να προκύψει πλήρες τρισδιάστατο χάσμα. Λαμβάνοντας υπόψη ότι η συγκεκριμένες δομές είναι ήδη γνωστές για τη χρήση τους ως φωτονικοί κρύσταλλοι, η πεποίθηση για τη χρήση τους ταυτόχρονα ως φωτονικοί και φωνονικοί κρύσταλλοι καθίσταται βάσιμη.
Στην συνέχεια, χρησιμοποιώντας ξανά τη μέθοδο των πεπερασμένων διαφορών στο πεδίο του χρόνου, μελετήθηκαν ενδεχόμενες εφαρμογές που θα μπορούσαν οι δομές αυτές να έχουν. Πιο συγκεκριμένα διερευνήθηκε αρχικά η ενδεχόμενη χρήση των φωνονικών κρυστάλλων ως αισθητήρες. Οι Ευαισθησίες αυτών των δομών υπολογίστηκαν από τις αλλαγές στα όρια των αντίστοιχων φωνονικών χασμάτων όταν ένα λεπτό φιλμ νερού (για την περίπτωση του αισθητήρα υγρασίας) προστεθεί στη δομή ή όταν οι δομές εμβαπτιστούν σε κάποιο υγρό (αισθητήρες υγρών). Μελετήθηκε επίσης για πρώτη φορά συγκεκριμένη ελαστοδυναμική συμπεριφορά της τρισδιάστατης δομής κατά στρώσεις. Τα αποτελέσματα που προέκυψαν παρουσιάζουν μια υψηλή τιμή στον λόγο της διαμήκους προς την εγκάρσια ταχύτητα του ήχου και μια ιδανική συμπεριφορά pentamode σε ένα εύρος συχνοτήτων. Τα αποτελέσματα δείχνουν σαφώς ότι η δομή κατά στρώσεις μπορεί να αποτελέσει και ένα πολύ σημαντικό ελαστοδυναμικό μεταϋλικό.
Στην επόμενη ενότητα της Διδακτορικής διατριβής χρησιμοποιώντας την θεωρία συναρτησιακών πυκνότητας μελετήθηκε η φωνονική πυκνότητα καταστάσεων για υλικά τύπου γραφενίου όπως το silicene (σιλικένιο) και το germanene (γερμανένιο). Εξετάστηκαν οι περιπτώσεις στις οποίες άτομα πυριτίου ή γερμανίου στις δομές τύπου γραφενίου αντικαταστάθηκαν από άλλα άτομα της Ομάδας IV του Περιοδικού Πίνακα και διερευνήθηκε κατά πόσο οι προκύπτουσες δομές μπορούν να λειτουργήσουν ως φωνονικοί κρύσταλλοι με την εμφάνιση φωνονικών χασμάτων στην φωνονική πυκνότητα καταστάσεών τους. Εξετάστηκαν επίσης νανοσωλήνες άνθρακα και κυρίως οι ομοιότητές τους με τα υλικά τύπου γραφενίου. Βρέθηκε πως, για τις περιπτώσεις όπου η διάμετρος των νανοσωλήνων ξεπερνά το 1nm, παρουσιάζονται αρκετές ομοιότητες με τα υλικά τύπου γραφενίου.
Στην τελευταία ενότητα της διατριβής διερευνώνται δομές στις οποίες μπορεί να παρατηρηθεί εντοπισμός του φωτός σε περιοχές κλίμακας νανομέτρων. Ένα σύστημα αποτελούμενο από δύο δίσκους πυριτίου με διάκενο να τους χωρίζει μερικά δέκατα του νανομέτρου μελετήθηκε πρώτο. Ο κανονικοποιημένος, αδιάστατος ενεργός όγκος καταστάσεων, V_eff, υπολογίστηκε για τους δύο χαμηλότερους συντονισμούς. Ο ενεργός όγκος καταστάσεων μειώνεται σημαντικά καθώς το χάσμα μεταξύ των δίσκων μεγαλώνει. Μελετάται επίσης μια δομή αποτελούμενη από έναν κυκλικό κυματοδηγό σχισμή ο οποίος σχηματίζεται μέσα σε έναν κυκλικό συντονιστή πυριτίου. Όπως προκύπτει από τα αριθμητικά αποτελέσματα η προτεινόμενη δομή μπορεί να εμφανίσει συντονισμούς με υψηλές τιμές του παράγοντα Q, αυξάνοντας έτσι την πεποίθηση πως η προτεινόμενη δομή μπορεί να αποτελέσει βάση για εφαρμογές σε οπτικές τηλεπικοινωνίες. / This thesis explores numerically structures that can act as phononic or photonic materials. A key feature of photonic and phononic materials is the existence of frequency gaps in propagation of electromagnetic waves and elastic waves respectively. Initially the functionality of two structures as phononic materials is numerically examined. Those structures have already been used as photonic materials. The first structure is the well-known layer-by-layer structure and the second is an acoustic strip waveguide onto which is considered one phononic crystal. For numerical calculations the Finite Difference Time Domain method was used. The transmission spectra and the band structure were calculated. Several different materials such as silicon, epoxy and tungsten were included in this study. It was also investigated the effect of all the geometric parameters of the structures. The results showed that these structures appear to have very promising features as phononic crystals. Under certain conditions it may even exists a full three-dimensional phononic band gap. Considering that those structures are already known for their use as photonic crystals, the belief for their use as both photonic crystals and phononic crystals becomes valid.
Then, again using the Finite Difference Time Domain method, potential applications that these structures could have were also examined. Initially it was investigated the potential use of phononic crystals as sensors. The sensitivities of these structures were calculated from the changes in the boundaries of the respective phononic band gaps when a thin film of water (in the case of the humidity sensor) was added to the structure or when those structures immersed in a liquid (liquid sensors). Also studied for the first time the three-dimensional layer-by-layer structure for specific elastodynamic behavior. The results show a high value of the ratio of the longitudinal to the transverse speed of sound and an ideal pentamode behavior for a specific frequency range. The results clearly show that the layer-by-layer structure could be a very important elastodynamic metamaterial.
In the next section of this thesis, the phonon density of states of graphene-like materials such as silicene and germanene is examined using density functional theory. Cases were silicon or germanium atoms on graphene-like structures are replaced by other group IV atoms and how these new structures could perform as nanoscale phononic crystals, creating phononic band gaps in their phonon density of states, are numerically investigated. Nanotubes were also examined and their similarities, especially for cases with diameters above 1nm, with the graphene-like materials were found.
In the final section of this thesis structures which could confine light in nanometer areas were numerically examined. A system consisting of two silicon disks with in plane separation of a few tens of nanometers has been studied first. The normalized unitless effective mode volume, Veff, has been calculated for the two lowest whispering gallery modes resonances. The effective mode volume is reduced significantly as the gap between the disks decreases. It is also numerically examined a structure consisting of a circular slot waveguide which is formed into a silicon disk resonator. It is shown that the proposed structure could have high Q resonances thus raising the belief that it is a very promising candidate for optical interconnects applications.
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