Propagation of a Gaussian beam in a layered periodic structure is studied analytically, numerically, and experimentally. It is demonstrated that for a special set of parameters the acoustic beam propagates without diffraction spreading. This propagation is also accompanied by negative refraction of the direction of phase velocity of the Bloch wave. In the study of two-dimensional viscous phononic crystals with asymmetrical solid inclusions, it was discovered that acoustic transmission is nonreciprocal. The effect of nonreciprocity in a static viscous environment is due to broken PT symmetry of the system as a whole. The difference in transmission is caused by the asymmetrical transmission and dissipation. The asymmetrical transmission is caused solely by broken mirror symmetry and could appear even in a lossless system. Asymmetrical dissipation of sound is a time-irreversible phenomenon that arises only if both energy dissipation and broken parity symmetry are present in the system. The numerical results for both types of phononic crystals were verified experimentally. Proposed devices could be exploited as collimation, rectification, and isolation acoustic devices.

This thesis aims at revealing the fundamental guiding and coupling properties of nonreciprocal electromagnetic surface waves on magneto-optical or gyromagnetic media and designing novel applications based on the properties. We introduce the background in the first chapter. We then describe the concept of nonreciprocity and the main calculation method in the second chapter. In the third chapter, we show that one-way waves can be sustained at the edge of a gyromagnetic photonic crystal slab under an external magnetic field. We also investigate the coupling between two parallel one-way waveguides. We reveal the condition for effective co-directional and contra-directional coupling. We also notice that the contra-directional coupling is related to the concept of a “trapped rainbow”. In the fourth chapter, we address the concept of a “trapped rainbow”. It aims at trapping different frequency components of the electromagnetic wave packet at different positions in space permanently. In previous structures, the entire incident wave is reflected due to the strong contra-directional coupling between forward and backward modes. To overcome this difficulty, we show that utilizing nonreciprocal waveguides under a tapered external magnetic field can achieve a truly “trapped rainbow” effect at microwave frequencies. We observe hot spots and relatively long duration times around critical positions through simulations and find that such a trapping effect is robust against disorders. Lastly, in the fifth chapter, we study the one-way waves in a surface magnetoplasmon cavity. We find that the external magnetic field can separate the clockwise and anti-clockwise cavity modes into two totally different frequency ranges. This offers us more choices, both in the frequency ranges and in the one-way directions, for realizing one-way components. We also show the waveguide-cavity coupling by designing a circulator, which establishes the foundation for potential applications. / <p>QC 20160816</p><p></p>

No description available.

Acoustic properties of periodic elastic structures have been a subject of active research for more than a century. Here, I derived and analyzed the dispersion equation for sound waves propagating in a periodic layered heterogeneous structure containing at least one viscous fluid as a constituent. The derivation of the dispersion equation is based on the Navier-Stokes equation for sound wave and the boundary conditions of continuity of fluid displacement and stresses at the interfaces with Bloch periodic boundary condition. The obtained dispersion equation is very general, it is valid for different combinations of elastic layers, any direction of propagation, and frequency of sound. In the case of superlattice consisting of narrow layers with high viscosity fluid and layers of ideal fluid, an acoustic analog of the Borrmann effect is predicted. In the other part of my dissertation, I study the nonreciprocal wave propagation in phononic crystals induced by viscosity. Using Fourier-transformed wave equation, I proved analytically that for an infinite phononic crystal with broken PT-symmetry dispersion relation remains the same switching the direction of the wave propagation, while Fourier components of velocity are nonreciprocal. I optimized shape of the scatterer to reach the highest value of the nonreciprocity in a two-dimensional finite phononic crystal. Sound propagation through crystals with various unit cells is numerically simulated with COMSOL Multiphysics to create a dataset of transmission values. For each introduced parameter the optimized scatterer's geometries are obtained utilizing machine learning techniques. I found parameters of the crystal, which may serve as a linear non-resonant passive acoustic diode.

Part I of this thesis is concerned with cavity optomechanical systems subject to periodic driving. We develop a Floquet approach to solve time-periodic quantum Langevin equations in the steady state, show that two-time correlation functions of system operators can be expanded in a Fourier series, and derive a generalized Wiener-Khinchin theorem that relates the Fourier transform of the autocorrelator to the noise spectrum. Weapply our framework to optomechanical systems driven with two tones. In a setting used to prepare mechanical resonators in quantum squeezed states, we nd and study the general solution in the rotating-wave approximation. In the following chapter, we show that our technique reveals an exact analytical solution of the explicitly time-periodic quantum Langevin equation describing the dual-tone backaction-evading measurement of a single mechanical oscillator quadrature due to Braginsky, Vorontsov, and Thorne [Science 209, 547 (1980)] beyond the commonly used rotating-wave approximation and show that our solution can be generalized to a wide class of systems, including to dissipatively or parametrically squeezed oscillators, as well as recent two-mode backaction-evading measurements. In Part II, we study nonreciprocal optomechanical systems with several optical and mechanical modes. We show that an optomechanical plaquette with two cavity modes coupled to two mechanical modes is a versatile system in which isolators, quantum-limited phase-preserving, and phase-sensitive directional ampliers for microwave signals can be realized. We discuss the noise added by such devices, and derive isolation bandwidth, gain bandwidth, and gain-bandwidth product, paving the way toward exible, integrated nonreciprocal microwave ampliers. Finally, we show that similar techniques can be exploited for current rectication in double quantum dots, thereby introducing fermionic reservoir engineering. We verify our prediction with a weak-coupling quantum master equation and the exact solution. Directionality is attained through the interference of coherent and dissipative coupling. The relative phase is tuned with an external magnetic eld, such that directionality can be reversed, as well as turned on and off dynamically.

The direct integration of magnon-spintronic devices in current technologies requires the development of spin-wave sources emitting ultra-short wavelengths and low-loss spin-wave guides. In this work, possible solutions for both of these challenges are provided. The first part of this thesis is dedicated to the nonreciprocal spin-wave emission in magnetic bilayers. Two prototype systems are theoretically investigated and corroborated by experimental results: (i) extended magnetic bilayer films and (ii) micron-sized elliptical magnetic bilayers. The nonreciprocity of the dispersion relation induced by the dynamic dipole-dipole interactions is investigated by means of micromagnetic simulations and an analytic theory. The nonreciprocal frequency shift linearly increases with the film thickness for small wave numbers. The topological emission of short-wavelength spin waves is observed in the micron-sized elliptical magnetic bilayers using scanning transmission X-ray microscopy and theoretically corroborated utilizing micromagnetic simulations. The second part of this thesis theoretically investigates a special spin transport mechanism in ferromagnetic thin films termed spin superfluidity. The main characteristic of this macroscopic state is the power-law dependence of the dissipated spin current in contrast to the exponential damping of spin waves, enabling low-loss long-range transport. The possible existence and the stability of the superfluidic transport in ferromagnetic thin films excited by spin-transfer torque in the presence of the intrinsic dipole-dipole interactions is reported for the first time. To provide indicators to prove the experimental realization of a spin superfluid the dependence on the excitation current is numerically analyzed. Three distinct regimes are obtained for both disabled and enabled dipole-dipole interactions, showing the generality of the investigated system. Both presented effects might open new paths for the technological application of magnonic devices in the future. / Die direkte Integration von magnon-spintronischen Bauteilen in moderne Technologien erfordert die Entwicklung von kurzwelligen Spinwellenquellen und verlustarmer Spinwellenleiter. In dieser Arbeit werden mögliche Lösungen für diese beiden Herausforderungen vorgestellt. Der erste Teil dieser Arbeit beschäftigt sich mit der nichtreziproken Spinwellenemission in magnetischen Doppellagen. Zwei Prototypsysteme werden theoretisch untersucht und durch experimentelle Ergebnisse untermauert: (i) ausgedehnte magnetische Doppellagen und (ii) mikrometer-große elliptische Doppellagen. Durch die dynamischen Dipol-Dipol-Wechselwirkungen wird eine Nichtreziprozität der Dispersionsrelation induziert. Diese wird mittels mikromagnetischer Simulationen und einer analytischen Theorie untersucht. Die nichtreziproke Frequenzverschiebung nimmt hierbei bei kleinen Wellenzahlen linear mit der Filmdicke zu. Die topologische Emission von Spinwellen wird in den mikrometer-großen elliptischen Doppellagen unter Verwendung von Röntgentransmissionsmikroskopie beobachtet und theoretisch unter Verwendung mikromagnetischer Simulationen bestätigt. Im zweiten Teil dieser Arbeit wird der spezielle Spintransport in ferromagnetischen dünnen Filmen untersucht, der als Spinsuprafluidität bekannt ist. Das Hauptmerkmal dieses makroskopischen Zustands ist die Abhängigkeit des dissipierten Spinstromes von der Propagationslänge als Potenzgesetz im Gegensatz zur exponentiellen Dämpfung von Spinwellen. Die Existenz und die Stabilität des suprafluiden Transportes in dünnen ferromagnetischen Filmen, angeregt durch einen spinpolarisierten Strom, in Gegenwart der intrinsischen Dipol-Dipol-Wechselwirkungen wird erstmals beschrieben. Um Hinweise für die experimentelle Realisierung der Spinsuprafluidität zu geben, wird die Abhängigkeit des Zustandes vom Anregungsstrom numerisch analysiert. Hierbei ergeben sich drei verschiedene Bereiche für den Fall vernachlässigter als auch aktivierter Dipol-Dipol-Wechselwirkung. Dies zeigt die Allgemeinheit des untersuchten Systems. Die beiden vorgestellten Effekte könnten in Zukunft neue Wege für die technologische Anwendung magnonischer Strukturen eröffnen.

Les matériaux à gradient d'indice de réfraction (GRIN) présentent des propriétés mécaniques variant en temps ou/et en espace. Ils ont été testés pour des applications prometteuses dans de nombreuses applications d'ingénierie, comme pour le contrôle santé structurale ou la surveillance de structure (SHM), le contrôle des vibrations et bruit, la récupération d'énergie, etc. D'un autre côté, les matériaux piézoélectriques offrent la possibilité de réaliser des cellules composites dont les propriétés mécaniques peuvent être contrôlées en ligne. Motivé par ces deux approches, cette thèse étudie la mise en œuvre de structures GRIN adaptatifs pour le contrôle des ondes élastiques. Deux types de structures GRIN adaptatifs sont étudiés dans ce travail. Le premier exemple concerne la mise en œuvre d'une lentille piézoélectrique dans une plaque. Il est composé de patchs piézoélectriques shuntés, collés périodiquement en surface du guide d'ondes. Les circuits de shunt utilisés permettent d'émuler une capacité négative (NC). En accordant les valeurs de NC on peut ajuster l'indices de réfraction du milieu à l'intérieur de la lentille piézoélectrique et pour satisfaire une fonction sécante hyperbolique. Les résultats numériques montrent que les lentilles piézoélectriques peuvent alors focaliser les ondes de flexion de la plaque sur les points focaux. La lentille piézoélectrique est efficace dans une grande bande de fréquences et efficace dans une grande plage de fonctionnement. Ainsi elle peut focaliser des ondes sur différent points par simple ajustement des valeurs de NC réalisés par le circuit. Cette focalisation adaptative la rend très intéressante pour de nombreuses applications comme la récupération d'énergie ou le SHM. La mise en œuvre de ces techniques pour la récupération d'énergie est discutée dans cette thèse. Le second exemple concerne l'étude d'une structure dont les propriétés mécaniques sont contrôlées en temps et en espace. En particulier, une modulation périodique permet de créer une onde artificielle se propageant dans la structure. L'interaction avec des ondes mécaniques entraîne une rupture de réciprocité visible dans un diagramme de bande non symétrique. De nombreux phénomènes inhabituels sont observés dans ce type de structures variables : fractionnement des fréquences, conversion d'ondes et transmission unidirectionnelles. Deux types de conversion fréquentielle sont démontrés et expliqués. Le premier est induit par la transmission d'énergie entre les différents modes Bloch et le second type est dû à la diffusion de Bragg dans les structures modulées. La transmission unidirectionnelle des ondes pourrait être exploitée pour réaliser des diodes dans des systèmes infinis ou semi-infinis. Cependant, la transmission unidirectionnelle n'existe pas dans les systèmes finis en raison des phénomènes de conversion de fréquence. / GRadient INdex (GRIN) media are those whose properties smoothly vary in space or/and time. They have shown promising effects in many engineering applications, such as Structural Health Monitoring (SHM), vibration and noise control, energy harvesting, etc. On the other hand, piezoelectric materials provide the possibility to build unit cells, whose mechanical properties can be controlled on-line. Motivated by these two facts, adaptive GRIN structures, which can be realized using shunted piezoelectric materials, are explored in this dissertation to control guided elastic waves. Two types of adaptive GRIN structures are studied in this work. The first type is a piezo-lens. It is composed of shunted piezoelectric patches bonded on the surfaces of plates. To control the mechanical properties of the piezoelectric composite, the piezoelectric patches are shunted with Negative Capacitance (NC). By tuning the shunting NC values, refractive indexes inside the piezo-lens are designed to satisfy a hyperbolic secant function in space. Numerical results show that the piezo-lens can focus waves by smoothly bending them toward the designated focal point. The piezo-lens is effective in a large frequency band and is efficient in many different working conditions. Also the same piezo-lens can focus waves at different locations by tuning the shunting NC values. The focusing effect and tunable feature of piezo-lens make it useful in many applications like energy harvesting and SHM. The former application is fully discussed in this thesis. The focusing effect at the focal point results in a known point with high energy density, therefore harvesting at the focal point can yield more energy. Besides, the tunable ability makes the harvesting system adaptive to environment changes. The second type is the time-space modulated structure. Its properties are modulated periodically both in time and space. Particularly, the modulation works like a traveling wave in the structure. Due to the time-varying feature, time-space modulated structures break the reciprocity theorem, i.e., the wave propagation in them is nonreciprocal. Many unusual phenomena are observed during the interaction between waves and time-space modulated structures: frequency splitting, frequency conversion and one-way wave transmission. Two types of frequency conversion are demonstrated and explained. The first type is caused by energy transmission between different orders Bloch modes. The second type is due to the Bragg scattering effect inside the modulated structures. The one-way wave transmission could be exploited to realize one-way energy insulation in equivalent infinite or semi-inffnite systems. However, the one-way energy insulation fails in finite systems due to the frequency conversion phenomenon.

Les sources de paires de photons constituent un bloc de base pour les technologies de traitement et transmission de l'information quantique. Une source consistant en une fibre microstructurée à coeur liquide permet à la fois une réduction du bruit de diffusion Raman, une adaptation simple et efficace aux réseaux de télécommunication quantique, et l'ajustement de ses propriétés d'émission par ingénierie de la microstructure et choix du liquide non linéaire. Ces recherches se concentrent sur l'étude de l'émission de paires de photons d'une telle source, et du mélange à quatre ondes à leur origine. Nous soulignons le manque d'une description quantitative correcte des phénomènes non linéaires à l'origine des paires dans les modèles existants, et en proposons un se basant sur le champ D pour y parvenir. Nous mettons expérimentalement en évidence l'inconsistance avec la forme de spectre usuellement attendue les sources de paires de photons. Pour l'expliquer, nous développons un modèle rendant compte de la non-uniformité du guide, soit la variation de ses propriétés de propagation sur sa longueur. Par une approche analytique initiale simple de cette caractéristique, nous exposons l'étalement du spectre et la diminution du taux maximum d'émission de paires. Une description numérique par morceaux apporte une description plus proche de la réalité et met en lumière la très forte sensibilité du spectre à la non-uniformité. Un autre effet de cette dernière se traduit par la différenciation du spectre selon le sens de propagation de la lumière dans le guide. Lors de l'intrication en polarisation des paires dans un dispositif de type boucle Sagnac, cette non-réciprocité dégrade la visibilité des paires. Pour compenser cet effet, nous proposons une solution simple de symétrisation du profil des fibres à leur fabrication, appuyée par de premiers résultats encourageants. Cette étude ouvre la voie à la prise en compte des non-uniformités inhérentes aux guides réels, impactant fortement leur émission de paires de photons. / Photon-pair sources are a basic block for implementation of quantum information and telecommunication. A microstructured fibered source with liquid core induce a Raman scattering noise reduction, and at the same time allows a simple and lossless coupling to telecom network, with an engineering of its emission properties through the structure and liquid choices. This work focus on four-wave mixing leading to photon pairs emission in such a source. As existing models lack a correct emph{quantitative} description of nonlinear phenomena for pairs emission, we propose here one based on the D field to do so. We show a mismatch between the spectrum form usually expected and the experimental one. To explain this, we develop a model describing the effects of guide nonuniformity, meaning variation of its propagation properties along itself. Through an initial and simple analytical approach, we demonstrate the spectrum spreading and the diminution of the maximum of emission pairs rate. With a piece-wise numerical description for real guides, we highlight the very strong sensitivity of the emission spectrum towards nonuniformity. Another effect arising from this feature is the spectrum differentiation depending on the propagation direction within the guide. Upon pairs polarization entanglement by inserting the guide into a Sagnac loop interferometer, such nonreciprocity induces a deterioration of pairs visibility. In order to counteract this effect, we propose, based on first encouraging results, a simple solution involving a symmetrization of fibers profile during their manufacture. This study paves the way for taking into account inherent nonuniformity of real waveguides, which strongly impacts their photon pair emission.

<p dir="ltr">Rapid evolution in wireless technology and the increasing demand for high bandwidth communication for 5G/6G and the Internet of Things (IoT) have necessitated a growing number of components in radio front-end modules in an increasingly overcrowded radio frequency (RF) spectrum. Low-cost ad-hoc radios have drawn consumer interest, enabling new devices like microelectromechanical (MEMS) resonators for on-chip clocking, frequency-selective filters, RF signal processing, and spectral sensing for their small footprint and low power consumption. Gallium nitride (GaN) is an attractive electromechanical material due to its high coupling coefficient, acoustic velocity, and low viscoelastic losses. These benefits enable high-Q MEMS resonators in GaN monolithic microwave integrated circuits (MMICs) with scaling capability up to mm-wave frequencies, making this technology platform a contender for high-performance programmable radios in RF/mm-wave, sensors for harsh environments, and information processing in quantum systems.</p><p dir="ltr">The bias-dependent control mechanism of the 2D electron gas (2DEG) in GaN heterostructures can be exploited to design different switchable and tunable devices for reconfigurable MEMS components. This work presents, for the first time, a comprehensive study of the electromechanical performances of different transduction mechanisms in switchable GaN MEMS resonators. A unique OFF-state shunt design, where the 2DEG in an AlN/GaN heterostructure is utilized to control electromechanical transduction in Lamb mode resonators, is also experimentally demonstrated in this work. To make a valid comparison among switchable transducers, equivalent circuit models are developed to extract key parameters from the measurements by fitting them in both ON and OFF states. The switchable transducer with Ohmic interdigitated transducers (IDTs) and Schottky control gate shows superior performance among the designs under consideration with complete suppression of the mechanical mode in the OFF state and a maximum frequency-quality factor product of 5x10¹²s^-1 and a figure-of-merit of 5.18 at 1GHz in the ON state.</p><p dir="ltr">Over the past few years, there have been numerous efforts to scale the frequencies of MEMS devices in the GaN platform towards mm-wave frequencies. However, challenges remain due to the multi-layer thick buffer, typical in the growth of GaN epilayer on a substrate. This work presents the investigation of SweGaN QuanFINEbuffer-free and ultrathin GaN-on-SiC for the performance of surface acoustic wave (SAW) devices beyond 10GHz. Finite element analysis (FEA) is performed to find the range of frequencies for the Sezawa mode in the structure. Transmission lines and resonators are designed, fabricated, and characterized. Modified Mason circuit models are developed for each class of devices to extract critical performance metrics and benchmark with the state-of-the-art and theoretical limits for GaN. Sezawa modes are observed at frequencies up to 14.3GHz, achieving a record high in GaN MEMS to the best of our knowledge. A maximum piezoelectric coupling of 0.61% and frequency-quality factor product of 6x10¹²s^-1 are achieved for Sezawa resonators at 11GHz, with a minimum propagation loss of 0.26dB/λ for the two-port devices. The devices also exhibit high linearity with input third-order intercept points (IIP3) of 65dBm at 9GHz.</p><p dir="ltr">This work also investigates tunable acoustoelectric (AE) devices in the QuanFINE platform, leveraging its inherent 2DEG in the AlGaN/GaN heterostructure. Using 9.7GHz Sezawa mode acoustic delay lines, we report the highest frequency of AE in GaN to date. Active and passive AE devices are designed for voltage-dependent non-reciprocity and propagation loss without modification to the standard process for the High Electron Mobility Transistors (HEMTs) in MMICs. Drain/source Ohmic contacts control the drift velocity of the 2DEG, and the Schottky gate modulates 2DEG carrier concentration, resulting in a 30dB/cm separation between forward and reverse acoustic waves for a 2.56kV/cm lateral DC electric field and a maximum change in propagation loss of 50dB/cm for -5V DC at the control gate, respectively. The QuanFINEtechnology with AlGaN/GaN heterostructure enables a platform for switchable MEMS resonators and tunable acoustoelectric devices in MMICs for reconfigurable front end approaching mm-wave frequencies.</p>