Bottle microresonators for applications in quantum optics and all-optical signal processing

This thesis reports on the experimental realization, characterization and application of a novel microresonator design. The so-called “bottle microresonator” sustains whispering-gallery modes in which light fields are confined near the surface of the micron-sized silica structure by continuous total internal reflection. While whispering-gallery mode resonators in general exhibit outstanding properties in terms of both temporal and spatial confinement of light fields, their monolithic design makes tuning of their resonance frequency difficult. This impedes their use, e.g., in cavity quantum electrodynamics (CQED) experiments, which investigate the interaction of single quantum mechanical emitters of predetermined resonance frequency with a cavity mode. In contrast, the highly prolate shape of the bottle microresonators gives rise to a customizable mode structure, enabling full tunability. The thesis is organized as follows: In chapter I, I give a brief overview of different types of optical microresonators. Important quantities, such as the quality factor Q and the mode volume V, which characterize the temporal and spatial confinement of the light field are introduced. In chapter II, a wave equation calculation of the modes of a bottle microresonator is presented. The intensity distribution of different bottle modes is derived and their mode volume is calculated. A brief description of light propagation in ultra-thin optical fibers, which are used to couple light into and out of bottle modes, is given as well. The chapter concludes with a presentation of the fabrication techniques of both structures. Chapter III presents experimental results on highly efficient, nearly lossless coupling of light into bottle modes as well as their spatial and spectral characterization. Ultra-high intrinsic quality factors exceeding 360 million as well as full tunability are demonstrated. In chapter IV, the bottle microresonator in add-drop configuration, i.e., with two ultra-thin fibers coupled to one bottle mode, is discussed. The highly efficient, nearly lossless coupling characteristics of each fiber combined with the resonator's high intrinsic quality factor, enable resonant power transfers between both fibers with efficiencies exceeding 90%. Moreover, the favorable ratio of absorption and the nonlinear refractive index of silica yields optical Kerr bistability at record low powers on the order of 50 µW. Combined with the add-drop configuration, this allows one to route optical signals between the outputs of both ultra-thin fibers, simply by varying the input power, thereby enabling applications in all-optical signal processing. Finally, in chapter V, I discuss the potential of the bottle microresonator for CQED experiments with single atoms. Its Q/V-ratio, which determines the ratio of the atom-cavity coupling rate to the dissipative rates of the subsystems, aligns with the values obtained for state-of-the-art CQED microresonators. In combination with its full tunability and the possibility of highly efficient light transfer to and from the bottle mode, this makes the bottle microresonator a unique tool for quantum optics applications.

Silicon Photonics Integrated Circuits for Flexible Optical Systems

This dissertation deals with the design and the characterization of novel reconfigurable silicon-on-insulator (SOI) devices to filter and route optical signals on-chip. Design is carried out through circuit simulations based on basic circuit elements (Building Blocks, BBs) in order to prove the feasibility of an approach allowing to move the design of Photonic Integrated Circuits (PICs) toward the system level. CMOS compatibility and large integration scale make SOI one of the most promising material to realize PICs. The concepts of generic foundry and BB based circuit simulations for the design are emerging as a solution to reduce the costs and increase the circuit complexity. To validate the BB based approach, the development of some of the most important BBs is performed first. A novel tunable coupler is also presented and it is demonstrated to be a valuable alternative to the known solutions. Two novel multi-element PICs are then analysed: a narrow linewidth single mode resonator and a passband filter with widely tunable bandwidth. Extensive circuit simulations are carried out to determine their performance, taking into account fabrication tolerances. The first PIC is based on two Grating Assisted Couplers in a ring resonator (RR) configuration. It is shown that a trade-off between performance, resonance bandwidth and device footprint has to be performed. The device could be employed to realize reconfigurable add-drop de/multiplexers. Sensitivity with respect to fabrication tolerances and spurious effects is however observed. The second PIC is based on an unbalanced Mach-Zehnder interferometer loaded with two RRs. Overall good performance and robustness to fabrication tolerances and nonlinear effects have confirmed its applicability for the realization of flexible optical systems. Simulated and measured devices behaviour is shown to be in agreement thus demonstrating the viability of a BB based approach to the design of complex PICs.

Photokathoden mit internem DBR-Reflektor als Quellen hochintensiver spinpolarisierter Elektronenstrahlen

Die Erzeugung von Elektronenstrahlen hoher Intensität (I$geq$2,mA) und hoher Spinpolarisation (P$geq$85%) ist für die Experimente an den geplanten glqq Linac Ringgrqq Electron--Ion--Collidern (z.B. eRHIC am Brookhaven National Laboratory) unabdingbar, stellt aber zugleich eine enorme Herausforderung dar. Die Photoemission aus ce{GaAs}--basierten Halbleitern wie z.B. den in dieser Arbeit untersuchten GaAlAs/InGaAlAs Quanten--Übergittern zeichnet sich zwar durch eine hohe Brillanz aus, die geringe Quantenausbeute von nur ca. 1% im Bereich maximaler Polarisation erfordert jedoch hohe Laserintensitäten von mehreren Watt pro $text{cm}^{2}$, was erhebliche thermische Probleme verursacht. rnrnIn dieser Arbeit konnte zunächst gezeigt werden, dass die Lebensdauer einer Photokathode mit steigender Laserleistung bzw. Temperatur exponentiell abnimmt. Durch Einbringen eines DBR--Spiegels zwischen die aktive Zone der Photokathode und ihr Substrat wird ein Großteil des ungenutzten Laserlichts wieder aus dem Kristall herausreflektiert und trägt somit nicht zur Erwärmung bei. Gleichzeitig bildet der Spiegel zusammen mit der Grenzfläche zum Vakuum eine Resonator--Struktur aus, die die aktive Zone umschließt. Dadurch kommt es für bestimmte Wellenlängen zu konstruktiver Interferenz und die Absorption in der aktiven Zone erhöht sich. Beide Effekte konnten durch vergleichenden Messungen an Kathoden mit und ohne DBR--Spiegel nachgewiesen werden. Dabei ergibt sich eine gute Übereinstimmung mit der Vorhersage eines Modells, das auf der dielektrischen Funktion der einzelnen Halbleiterstrukturen beruht. Von besonderer praktischer Bedeutung ist, dass die DBR--Kathode für einen gegebenen Photoemissions-strom eine um einen Faktor $geq$,3{,}5 kleinere Erwärmung aufweist. Dies gilt über den gesamten Wellenlängenbereich in dem die Kathode eine hohe Strahlpolarisation (P$>$80%) produzieren kann, auch im Bereich der Resonanz.rnAus zeitaufgelösten Messungen der Ladungsverteilung und Polarisation lassen sich sowohl Rückschlüsse über die Transportmechanismen im Inneren einer Kathode als auch über die Beschaffenheit ihrer Oberfläche ziehen. Im Rahmen dieser Dissertation konnte die Messgeschwindigkeit der verwendeten Apparatur durch den Einbau eines schnelleren Detektors und durch eine Automatisierung der Messprozedur entscheidend vergrößert und die resultierende Zeitauflösung mit jetzt 1{,}2 Pikosekunden annähernd verdoppelt werden.rnrnDie mit diesen Verbesserungen erhaltenen Ergebnisse zeigen, dass sich der Transport der Elektronen in Superlattice--Strukturen stark vom Transport in den bisher untersuchten Bulk--Kristallen unterscheidet. Der Charakter der Bewegung folgt nicht dem Diffusionsmodell, sondern gibt Hinweise auf lokalisierte Zustände, die nahe der Leitungsbandunterkante liegen und Elektronen für kurze Zeit einfangen können. Dadurch hat die Impulsantwort einer Kathode neben einem schnellen Abfall des Signals auch eine größere Zeitkonstante, die selbst nach 30,ps noch ein Signal in der Größenordnung von ca. 5textperthousand der Maximalintensität erzeugt.

Stress & structure of thin polymer brush films

Polymer brushes have unique properties with a large variety of possible applications ranging from responsive coatings and drug delivery to lubrication and sensing. For further development a detailed understanding of the properties is needed. Established characterization methods, however, only supply information of the surface. Experimental data about the inner “bulk” structure of polymer brushes is still missing.rnScattering methods under grazing incidence supply structural information of surfaces as well as structures beneath it. Nanomechanical cantilevers supply stress data, which is giving information about the forces acting inside the polymer brush film. In this thesis these two techniques are further developed and used to deepen the understanding of polymer brushes. rnThe experimental work is divided into four chapters. Chapter 2 deals with the preparation of polymer brushes on top of nanomechanical cantilever sensors as well as large area sample by using a “grafting-to” technique. The further development of nanomechanical cantilever readout is subject of chapter 3. In order to simplify cantilever sensing, a method is investigated which allows one to perform multiple bending experiments on top of a single cantilever. To do so, a way to correlate different curvatures is introduced as well as a way to conveniently locate differently coated segments. In chapter 4 the change in structure upon solvent treatment of mixed polymer brushes is investigated by using scattering methods and nanomechanical cantilevers amongst others. This allows one to explain the domain memory effect, which is typically found in such systems. Chapter 5 describes the implementation of a phase shifting interferometer - used for readout of nanomechanical cantilevers - into the µ-focused scattering beamline BW4, allowing simultaneous measurements of stress and structure information. The last experimental chapter 6 deals with the roughness correlation in polymer brushes and its dependence on the chain tethered density.rnIn summary, the thesis deals with utilization of new experimental techniques for the investigation of polymer brushes and further development of the techniques themselves.rn

Liquid crystalline cellulose derivatives for mirrorless lasing

In this thesis cholesteric films made of liquid crystalline cellulose derivatives with improved optical properties were prepared. The choice of the solvent, hydrogen bond influencing additives, the synthetic realization of a very high degree of substitution on the cellulosic polymer and the use of mechanical stirring at the upper concentration limit of the liquid crystalline range were the basis for an improved alignment of the applied cellulose tricarbamates. In combination with a tuned substrate treatment and film preparation method, cholesteric films were obtained, with optical properties that were theoretically predicted and only known from low molecular weight liquid crystals so far. Subsequent polymerization allowed a permanent fixing of the alignment and the fabrication of free standing and insensitive films.rnThe incorporation of inorganic nanorods into the cholesteric host material was mediated with tailored block copolymers, available via controlled radical polymerization methods. In addition to the shape match between the rodlike mesogens of the host and the nanorods it was possible to increase the miscibility of both materials. Nevertheless, the size of the nanorods, in comparison to the mesogens, in these densely packed liquid crystalline phases as well as their long equilibration times were the reasons for phase separation. Nanorods are, in principle, valuable substitutes for organics, but their utilization in cellulosic CLC was not to be combined with a high quality alignment of the cholesteric structure.rnA swelling process of polymerized films in a dye solution or dissolving dyes in non-polymerized CLC was used for incorporation of the organic chromophores. With the first method the CLC could be aligned and polymerized without any disturbance due to dye molecules. The optical properties of dye and CLC were matched, with regard to mirrorless lasing devices. The dye was optically excited and laser emission supported by the cholesteric cavity was obtained. The polarization and wavelength of the emitted radiation as well as its bandwidth, the obtained interference pattern and threshold behavior of the emission proofed the feedback mechanism that was not believed to be realizable in liquid crystalline polymers. rnUtilization of a microfluidic co-flow injection device enabled us to transfer the properties of cellulosic CLC from the planar film shape to spherical micrometer sized particles. The pure material yielded particles with distorted mesogen alignment similar to films prepared by capillary flow. Dilution of the CLC with a solvent that migrated into the carrier phase during particle preparation provided the basis for particles with well ordered areas. rnAlthough cellulose derivatives were known for their liquid crystalline behavior for decades and synthesized in mass production, their application as feedback material was affected by bad optical properties. In comparison to low molar mass compounds, the low degree of order in the CLC phase was the cause. With the improved material, defined lasing emission was shown and characterized. Derivatives of cellulose are desirable materials, because, as a renewable resource, they are available in large amounts for a low price and need only simple derivatization reactions. The fabrication of CLC films with tunable lasing emission, for which this thesis can provide a starting point, is in good agreement with today's requirements of modern technology and its miniaturization.rn

Thermal excitations of optical nanofibers measured with a fiber-integrated Fabry-Pérot cavity

Efficient coupling of light to quantum emitters, such as atoms, molecules or quantum dots, is one of the great challenges in current research. The interaction can be strongly enhanced by coupling the emitter to the eva-nescent field of subwavelength dielectric waveguides that offer strong lateral confinement of the guided light. In this context subwavelength diameter optical nanofibers as part of a tapered optical fiber (TOF) have proven to be powerful tool which also provide an efficient transfer of the light from the interaction region to an optical bus, that is to say, from the nanofiber to an optical fiber. rnAnother approach towards enhancing light–matter interaction is to employ an optical resonator in which the light is circulating and thus passes the emitters many times. Here, both approaches are combined by experi-mentally realizing a microresonator with an integrated nanofiber waist. This is achieved by building a fiber-integrated Fabry-Pérot type resonator from two fiber Bragg grating mirrors with a stop-band near the cesium D2-line wavelength. The characteristics of this resonator fulfill the requirements of nonlinear optics, optical sensing, and cavity quantum electrodynamics in the strong-coupling regime. Together with its advantageous features, such as a constant high coupling strength over a large volume, tunability, high transmission outside the mirror stop band, and a monolithic design, this resonator is a promising tool for experiments with nanofiber-coupled atomic ensembles in the strong-coupling regime. rnThe resonator's high sensitivity to the optical properties of the nanofiber provides a probe for changes of phys-ical parameters that affect the guided optical mode, e.g., the temperature via the thermo-optic effect of silica. Utilizing this detection scheme, the thermalization dynamics due to far-field heat radiation of a nanofiber is studied over a large temperature range. This investigation provides, for the first time, a measurement of the total radiated power of an object with a diameter smaller than all absorption lengths in the thermal spectrum at the level of a single object of deterministic shape and material. The results show excellent agreement with an ab initio thermodynamic model that considers heat radiation as a volumetric effect and that takes the emitter shape and size relative to the emission wavelength into account. Modeling and investigating the thermalization of microscopic objects with arbitrary shape from first principles is of fundamental interest and has important applications, such as heat management in nano-devices or radiative forcing of aerosols in Earth's climate system. rnUsing a similar method, the effect of the TOF's mechanical modes on the polarization and phase of the fiber-guided light is studied. The measurement results show that in typical TOFs these quantities exhibit high-frequency thermal fluctuations. They originate from high-Q torsional oscillations that couple to the nanofiber-guided light via the strain-optic effect. An ab-initio opto-mechanical model of the TOF is developed that provides an accurate quantitative prediction for the mode spectrum and the mechanically induced polarization and phase fluctuations. These high-frequency fluctuations may limit the ultimate ideality of fiber-coupling into photonic structures. Furthermore, first estimations show that they may currently limit the storage time of nanofiber-based atom traps. The model, on the other hand, provides a method to design TOFs with tailored mechanical properties in order to meet experimental requirements. rn

Entwicklung eines schnellen, piezobasierten Frequenztuners für supraleitende CH-Kavitäten

Im Rahmen der vorliegenden Arbeit wurde ein schnelles, piezobasiertes Frequenztuningsystem für aktuelle sowie zukünftige supraleitende (sl) CH-Kavitäten entwickelt. Die Grundlage des hierbei verwendeten Tuningkonzepts unterscheidet sich von bisherigen, konventionellen Tuningmethoden supraleitender Kavitäten grundlegend. Zum Ausgleichen von unerwünschten Frequenzverstimmungen während des Beschleunigerbetriebes werden sogenannte bewegliche Balgtuner in das Innere der Resonatorgeometrie geschweißt. Aufgrund ihrer variablen Länge können diese die Kapazität der Kavität und somit die Resonanzfrequenz gezielt beeinflussen. Die Antriebsmechanik, die für die Auslenkung bzw. Stauchung der Balgtuner sorgt, besteht aus einer langsamen, schrittmotorbetriebenen und einer schnellen, piezobasierten Tuningeinheit, welche auf der Außenseite des Heliummantels der jeweiligen CH-Kavität installiert wird. Zur Überprüfung dieses neuartigen Tuningkonzepts wurde in der Werkstatt des Instituts für Angewandte Physik (IAP) der Goethe Universität Frankfurt ein Prototyp der gesamten Tuningeinheit aus Edelstahl gefertigt. Die Funktionsweise der langsamen sowie schnellen Tuningeinheit konnten hierbei in ersten Messungen bei Raumtemperatur erfolgreich getestet werden. Somit stellt die in dieser Arbeit entwickelte Tuningeinheit eine vielversprechende Möglichkeit des dynamischen Frequenztunings supraleitender CH-Strukturen dar. rnDes Weiteren wurden im Rahmen der Arbeit mit Hilfe der Simulationsprogramme ANSYS Workbench sowie CST MicroWave Studio gekoppelte strukturmechanische und elektromagnetische Simulationen der sl 217 MHz CH sowie der sl 325 MHz CH-Kavität durchgeführt. Hierbei konnte zum einen der Frequenzbereich und somit der notwendige mechanische Hub der jeweiligen Tuningeinheit durch Bestimmung der Frequenzverstimmungen signifikant reduziert werden. Zum anderen war es möglich, die mechanische Stabilität der beiden Kavitäten zu untersuchen und somit plastische Deformationen von vornherein auszuschließen. Zur Überprüfung der Genauigkeit sämtlicher getätigter Simulationsrechnungen wurde das strukturmechanische Verhalten in Abhängigkeit äußerer Einflüsse und die daraus resultierenden Frequenzverstimmungen der CH-Kavitäten sowohl bei Raumtemperatur als auch bei kryogenen Temperaturen von 4.2 K gemessen. Hierbei zeigten sich zum Teil hervorragende Übereinstimmungen zwischen den simulierten und gemessenen Werten mit Diskrepanzen von unter 10%. Mit Hilfe dieser Ergebnisse konnte gezeigt werden, dass die gekoppelte Simulation ein essentielles Werkzeug während der Entwicklungsphase einer supraleitenden Beschleunigungsstruktur darstellt, so dass die für den Betrieb erforderliche mechanische Stabilität einer supraleitenden Kavität erreicht werden kann. rn

Intracavity Generation of Radially Polarized CO2 Laser Beams Based on a Simple Binary Dielectric Diffraction Grating

We present experimental results on the intracavity generation of radially polarized light by incorporation of a polarization-selective mirror in a CO2 -laser resonator. The selectivity is achieved with a simple binary dielectric diffraction grating etched in the backsurface of the mirror substrate. Very high polarization selectivity was achieved, and good agreement of simulation and experimental results is shown. The overall radial polarization purity of the generated laser beam was found to be higher than 90% .

Nanomechanics of cellulose crystals and cellulose-based polymer composites

Cellulose-polymer composites have potential applications in aerospace and transportation areas where lightweight materials with high mechanical properties are needed. In addition, these economical and biodegradable composites have been shown to be useful as polymer electrolytes, packaging structures, optoelectronic devices, and medical implants such as wound dressing and bone scaffolds. In spite of the above mentioned advantages and potential applications, due to the difficulties associated with synthesis and processing techniques, application of cellulose crystals (micro and nano sized) for preparation of new composite systems is limited. Cellulose is hydrophilic and polar as opposed to most of common thermoplastics, which are non-polar. This results in complications in addition of cellulose crystals to polymer matrices, and as a result in achieving sufficient dispersion levels, which directly affects the mechanical properties of the composites. As in other composite materials, the properties of cellulose-polymer composites depend on the volume fraction and the properties of individual phases (the reinforcement and the polymer matrix), the dispersion quality of the reinforcement through the matrix and the interaction between CNCs themselves and CNC and the matrix (interphase). In order to develop economical cellulose-polymer composites with superior qualities, the properties of individual cellulose crystals, as well as the effect of dispersion of reinforcements and the interphase on the properties of the final composites should be understood. In this research, the mechanical properties of CNC polymer composites were characterized at the macro and nano scales. A direct correlation was made between: Dispersion quality and macro-mechanical properties Nanomechanical properties at the surface and tensile properties CNC diameter and interphase thickness Lastly, individual CNCs from different sources were characterized and for the first time size-scale effect on their nanomechanical properties were reported. Then the effect of CNC surface modification on the mechanical properties was studied and correlated to the crystalline structure of these materials.

EXPERIMENTAL AND COMPUTATIONAL STUDIES OF ELECTROMAGNETIC CLOAKING AT MICROWAVES

An invisibility cloak is a device that can hide the target by enclosing it from the incident radiation. This intriguing device has attracted a lot of attention since it was first implemented at a microwave frequency in 2006. However, the problems of existing cloak designs prevent them from being widely applied in practice. In this dissertation, we try to remove or alleviate the three constraints for practical applications imposed by loosy cloaking media, high implementation complexity, and small size of hidden objects compared to the incident wavelength. To facilitate cloaking design and experimental characterization, several devices and relevant techniques for measuring the complex permittivity of dielectric materials at microwave frequencies are developed. In particular, a unique parallel plate waveguide chamber has been set up to automatically map the electromagnetic (EM) field distribution for wave propagation through the resonator arrays and cloaking structures. The total scattering cross section of the cloaking structures was derived based on the measured scattering field by using this apparatus. To overcome the adverse effects of lossy cloaking media, microwave cloaks composed of identical dielectric resonators made of low loss ceramic materials are designed and implemented. The effective permeability dispersion was provided by tailoring dielectric resonator filling fractions. The cloak performances had been verified by full-wave simulation of true multi-resonator structures and experimental measurements of the fabricated prototypes. With the aim to reduce the implementation complexity caused by metamaterials employment for cloaking, we proposed to design 2-D cylindrical cloaks and 3-D spherical cloaks by using multi-layer ordinary dielectric material (εr>1) coating. Genetic algorithm was employed to optimize the dielectric profiles of the cloaking shells to provide the minimum scattering cross sections of the cloaked targets. The designed cloaks can be easily scaled to various operating frequencies. The simulation results show that the multi-layer cylindrical cloak essentially outperforms the similarly sized metamaterials-based cloak designed by using the transformation optics-based reduced parameters. For the designed spherical cloak, the simulated scattering pattern shows that the total scattering cross section is greatly reduced. In addition, the scattering in specific directions could be significantly reduced. It is shown that the cloaking efficiency for larger targets could be improved by employing lossy materials in the shell. At last, we propose to hide a target inside a waveguide structure filled with only epsilon near zero materials, which are easy to implement in practice. The cloaking efficiency of this method, which was found to increase for large targets, has been confirmed both theoretically and by simulations.

Coherent control of terahertz meta-materials

We present coherent control of a THz meta-material. Specifically, we show in detail the time and frequency dependent response of a single and a double split ring resonator upon excitation with a shaped THz field. Through far- and near-field measurements, we confirm the coherence transfer from the tailored THz field to the system and back to the radiated field and we demonstrate selective excitation of a designated system resonance with a suitably shaped THz pulse.

Electrochemical control of a non-covalent binding between ferrocene and beta-cyclodextrin

The forces required for the detachment of ferrocene (Fc) from β-cyclodextrin (βCD) in a single host (βCD)–guest (Fc) complex were investigated using force spectroscopy under electrochemical conditions. The redox state of the guest Fc moiety as well as the structure of the supporting matrix was found to decisively affect the nanomechanical properties of the complex.

Thermodynamical Phase Noise in Oscillators Based on L-C Resonators

Using a new Admittance-based model for electrical noise able to handle Fluctuations and Dissipations of electrical energy, we explain the phase noise of oscillators that use feedback around L-C resonators. We show that Fluctuations produce the Line Broadening of their output spectrum around its mean frequency f0 and that the Pedestal of phase noise far from f0 comes from Dissipations modified by the feedback electronics. The charge noise power 4FkT/R C2/s that disturbs the otherwise periodic fluctuation of charge these oscillators aim to sustain in their L-C-R resonator, is what creates their phase noise proportional to Leeson’s noise figure F and to the charge noise power 4kT/R C2/s of their capacitance C that today’s modelling would consider as the current noise density in A2/Hz of their resistance R. Linked with this (A2/Hz?C2/s) equivalence, R becomes a random series in time of discrete chances to Dissipate energy in Thermal Equilibrium (TE) giving a similar series of discrete Conversions of electrical energy into heat when the resonator is out of TE due to the Signal power it handles. Therefore, phase noise reflects the way oscillators sense thermal exchanges of energy with their environment.

Thermodynamical Phase Noise in Oscillators Based on L-C Resonators (Foundations)

Using a new Admittance-based model for electrical noise able to handle Fluctuations and Dissipations of electrical energy, we explain the phase noise of oscillators that use feedback around L-C resonators. We show that Fluctuations produce the Line Broadening of their output spectrum around its mean frequency f0 and that the Pedestal of phase noise far from f0 comes from Dissipations modified by the feedback electronics. The charge noise power 4FkT/R C2/s that disturbs the otherwise periodic fluctuation of charge these oscillators aim to sustain in their L-C-R resonator, is what creates their phase noise proportional to Leeson’s noise figure F and to the charge noise power 4kT/R C2/s of their capacitance C that today’s modelling would consider as the current noise density in A2/Hz of their resistance R. Linked with this (A2/Hz?C2/s) equivalence, R becomes a random series in time of discrete chances to Dissipate energy in Thermal Equilibrium (TE) giving a similar series of discrete Conversions of electrical energy into heat when the resonator is out of TE due to the Signal power it handles. Therefore, phase noise reflects the way oscillators sense thermal exchanges of energy with their environment

Characterization of Amorphous Tantalum Oxide for Insulating Acoustic Mirrors

This work describes the assessment of the acoustic properties of sputtered tantalum oxide films intended as high impedance films for the acoustic isolation of bulk acoustic wave devices operating in the GHz frequency range. The films are grown by sputtering a metallic tantalum target under different oxygen and argon gas mixtures, total pressures, pulsed DC powers and substrate bias. The structural properties of the films are assessed through infrared absorption spectroscopy and X-ray diffraction measurements. Their acoustic impedance is obtained after estimating the mass density by X-ray reflectometry measurements and the longitudinal acoustic velocity by analyzing the longitudinal λ/2 resonance induced in a tantalum oxide film inserted between an acoustic reflector and an AlN-based resonator. A second measurement of the sound velocity is achieved through picosecond acoustic spectroscopy.