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

AlN-based BAW resonators with CNT electrodes for gravimetric biosensing

Solidly mounted resonators (SMRs) with a top carbon nanotubes (CNTs) surface coating that doubles as an electrode and as a sensing layer have been fabricated. The influence of the CNTs on the frequency response of the resonators was studied by direct comparison to identical devices with a top metallic electrode. It was found that the CNTs introduced significantly less mass load on the resonators and these devices exhibited a greater quality factor, Q (>2000, compared to ∼1000 for devices with metal electrodes), which increases the gravimetric sensitivity of the devices by allowing the tracking of smaller frequency shifts. Protein solutions with different concentrations were loaded on the top of the resonators and their responses to mass-load from physically adsorbed coatings were investigated. Results show that resonators using CNTs as the top electrode exhibited a higher frequency change for a given load (∼0.25 MHz cm2 ng−1) compared to that of a metal thin film electrode (∼0.14 MHz cm2 ng−1), due to the lower mass of the CNTelectrodes and their higher active surface area compared to that of a thin film metal electrode. It is therefore concluded that the use of CNTelectrodes on resonators for their use as gravimetric biosensors is a significant improvement over metallic electrodes that are normally employed.

Sputter optimization of AlN on diamond substrates for high frequency SAW resonators

The AlN/diamond structure is an attractive combination for SAW devices and its application at high frequencies. In this work, the synthesis of AlN thin films by reactive sputtering has been optimized on diamond substrates in order to process high frequency devices. Polished microcrystalline and as-grown nanocrystalline diamond substrates have been used to deposit AlN of different thickness under equal sputtering conditions. For the smoother substrates, the FWHM of the rocking curve of the (002) AlN peak varies from 3.8° to 2.7° with increasing power. SAW one port resonators have been fabricated on these films, whose electrical characterization (in terms of S11 parameters) is reported.

Solidly Mounted Resonators with Carbon Nanotube Electrodes for Biosensing Applications

The work reported here shows a direct experimental comparison of the sensitivities of AlN solidly mounted resonators (SMR)-based biosensors fabricated with standard metal electrodes and with carbon nanotube electrodes. SMRs resonating at frequencies around 1.75 GHz have been fabricated, some devices using a thin film of multi-wall carbon nanotubes (CNTs) as the top electrode material and some identical devices using a chromium/gold electrode. Protein solutions with different concentrations were loaded on the top of the resonators and their responses to mass-load from physically adsorbed coatings were investigated. Results show that resonators using CNTs as the top electrode material exhibited higher frequency change for a given load due to the higher active surface area of a thin film of interconnecting CNTs compared to that of a metal thin film electrode and hence exhibited greater mass loading sensitivity. It is therefore concluded that the use of CNT electrodes on resonators for their use as gravimetric biosensors is viable and worthwhile.

Ta2O5/SiO2 insulating acoustic mirrors for AlN-based X-band BAW resonators

This work describes the performance of AlN-based bulk acoustic wave resonators built on top of insulating acoustic reflectors and operating at around 8 GHz. The acoustic reflectors are composed of alternate layers of amorphous Ta2O5and SiO2 deposited at room temperature by pulsed-DC reactive sputtering in Ar/O2 atmospheres. SiO2 layers have a porous structure that provides a low acoustic impedance of only 9.5 MRayl. Ta2O5 films exhibit an acoustic impedance of around 39.5 MRayl that was assessed by the picoseconds acoustic technique These values allow to design acoustic mirrors with transmission coefficients in the centre of the band lower than -40 dB (99.998 % of reflectance) with only seven layers. The resonators were fabricated by depositing a very thin AlN film onto an iridium bottom electrode 180 nm-thick and by using Ir or Mo layers as top electrode. Resonators with effective electromechanical coupling factors of 5.7% and quality factors at the antiresonant frequency around 600 are achieved.

Fabrication of high frequency SAW resonators using AlN/Diamond/Si technology

The synthesis of AlN on diamond is a great challenge, not only because of the between an AlN/diamond interface, but also because of the high surface roughness of the diamond layers [8, 9]. In the case of microcrystalline diamond, the last problem was solved by polishing. However, polishing nanocrystalline diamond is not straightforward. For the diamond synthesis by CVD, silicon was used as a substrate. The diamond/Si interface presents a smoother diamond than the diamond/air interface. This paper reports on the fabrication of high frequency SAW resonators using AlN/Diamond/Si technology.

Low-thickness high-quality aluminum nitride films for super high frequency solidly mounted resonators

We investigate the sputter growth of very thin aluminum nitride (AlN) films on iridium electrodes for electroacoustic devices operating in the super high frequency range. Superior crystal quality and low stress films with thicknesses as low as 160 nm are achieved after a radio frequency plasma treatment of the iridium electrode followed by a two-step alternating current reactive magnetron sputtering of an aluminum target, which promotes better conditions for the nucleation of well textured AlN films in the very first stages of growth. Solidly mounted resonators tuned around 8 GHz with effective electromechanical coupling factors of 5.8% and quality factors Q up to 900 are achieved.

On the lateral excitation of shear modes in AlN layered resonators

In this paper we describe the fabrication and frequency characterization of different structures intended for the lateral excitation of shear modes in AlN c-axis-oriented films, which are at the same time designed to minimize the excitation of longitudinal modes. Laterally excited resonators were built on partially metallic (SiO2, W) and insulating (SiOC, Si3N4) acoustic mirrors built on silicon substrates, and on insulating mirrors (SiO2, TaOx) built on insulating glass plates. TiOx seed layers were used to stimulate the growth of highly c-axis oriented AlN films, which was confirmed by XRD and SAW measurements. Coplanar Mo electrodes of different geometries were defined on top of the AlN films to excite the shear modes. All the structures analyzed displayed a clear longitudinal mode, corresponding to an acoustic velocity of 11000 m/s, but a null or extremely weak shear response corresponding to a sound velocity of around 6350 m/s. The simulation of the frequency response based on Mason's model confirms that the shear resonance is extremely weak. The observed longitudinal modes are attributed either to the field applied between the electrodes and a conductive plane (metallic layer or Si substrate) or to the electric field parallel to the c-axis in the edges of the electrodes or in tilted grains. The low excitation of shear modes is attributed to the very low values of electric field strength parallel to the surface.

Validation of a CFD wake model based on the actuator disk technique and the thrust coefficient. Preliminary results

A simplified CFD wake model based on the actuator-disk concept is used to simulate the wind turbine, represented by an actuator disk upon which a distribution of forces, defined as axial momentum sources, are applied on the incoming flow. The rotor is supposed to be uniformly loaded, with the exerted forces as a function of the incident wind speed, the thrust coefficient and the rotor diameter. The model is validated through experimental measurements downwind of a wind turbine in terms of wind speed deficit. Validation on turbulence intensity will also be made in the near future.

Optimization of AlN thin layers on diamond substrates for high frequency SAW resonators

AlN/diamond heterostructures are very promising for high frequency surface acoustic wave (SAW) resonators. In their design, the thickness of the piezoelectric film is one of the key parameters. On the other hand, the film material quality and, hence, the device performance, also depend on that thickness. In this work, polished microcrystalline diamond substrates have been used to deposit AlN films by reactive sputtering, from 150 nm up to 3 μm thick. A high degree of the c-axis orientation has been obtained in all cases. SAW one port resonators at high frequency have been fabricated on these films with a proper combination of the film thickness and transducer size.

Super-high-frequency SAW resonators on AlN/Diamond

This letter describes the procedure to manufacture high-performance surface acoustic wave (SAW) resonators on AlN/diamond heterostructures working at frequencies beyond 10 GHz. In the design of SAW devices on AlN/diamond systems, the thickness of the piezoelectric layer is a key parameter. The influence of the film thickness on the SAW device response has been studied. Optimized thin films combined with advanced e-beam lithographic techniques have allowed the fabrication of one-port SAW resonators with finger width and pitch of 200 nm operating in the 10–14 GHz range with up to 36 dB out-of-band rejection.

Stability of liquid bridges between an elliptical and a circular supporting disk

A numerical method has been developed to determine the stability limits for liquid bridges held between noncircular supporting disks and the application to a configuration with a circular and an elliptical disk subjected to axial acceleration has been made. The numerical method led to results very different from the available analytical solution which has been revisited and a better approximation has been obtained. It has been found that just retaining one more term in the asymptotic analysis the solution reproduces the real behavior of the configuration and the numerical results.

High sensitivity biosensors based on shear mode AIN resonators for in liquid operation

El diagnóstico y detección temprana de enfermedades son clave para reducir la tasa de mortalidad, las hospitalizaciones de larga duración y el desaprovechamiento de recursos. En los últimos años se ha impulsado, mediante un aumento de la financiación, el desarrollo de nuevos biosensores de bajo coste capaces de detectar y cuantificar cantidades muy pequeñas de especies biológicas de una forma barata y sencilla. El trabajo presentado en esta Tesis Doctoral describe la investigación llevada a cabo en el desarrollo de sensores gravimétricos basados en resonadores de ondas acústicas de volumen (BAW) de estructura maciza (SMR). Los dispositivos emplean películas delgadas de A1N como material piezoeléctrico y operan en modo de cizalladura, para así poder detectar especies biológicas en medio líquido. El principio de funcionamiento de estos sensores se basa en la variación que experimenta la frecuencia de resonancia al quedar una pequeña masa adherida a su superficie. Necesitan operar en modo de cizalladura para que su resonancia no se atenúe al trabajar en medio líquido, así como ofrecer una superficie capaz de ser funcionalizada específicamente para la especie biológica a detectar. El reto planteado en esta tesis requiere un acercamiento pluridisciplinar al problema que incluye el estudio de los diferentes materiales que constituyen la estructura multicapa que forma un SMR, el diseño y fabricación del dispositivo y del sistema de fluídica, la funcionalización bioquímica de la superficie del sensor, la demostración de la capacidad de detección de especies biológicas y finalmente el diseño y fabricación de la electrónica asociada para la detección de la señal eléctrica. Todas esas tareas han sido abordadas en las distintas etapas del desarrollo de esta tesis y las contribuciones más relevantes se describen en el documento. En el campo de desarrollo de los materiales, se propone un proceso en dos etapas para la pulverización reactiva de capas de A1N que contengan microcristales inclinados capaces de excitar el modo de cizalladura. Se caracteriza la velocidad acústica del modo de cizalladura en todos los materiales que componen la estructura, con el fin de poder obtener un diseño más adecuado del reflector acústico. Se propone un nuevo tipo de material aislante de alta impedancia acústica consistente en capas de W03 pulverizadas que presenta ciertas ventajas tecnológicas frente a las capas convencionales de Ta205. Respecto del diseño del transductor, se estudia la influencia que tienen los con tactos eléctricos extendidos del resonador necesarios para poder adaptar el sistema de fluídica a la estructura. Los resultados indican que es necesario trabajar sobre sustratos aislantes (tanto el soporte como el espejo acústico) para evitar efectos parásitos asociados al uso de capas metálicas bajo los electrodos del resonador que dañan su resonancia. Se analiza la influencia de las diferentes capas del dispositivo en el coeficiente de temperatura de la frecuencia (TCF) del resonador llegando a la conclusión de que las dos últimas capas del reflector acústico afectan significativamente al TCF del SMR, pudiendo reducirse ajusfando adecuadamente sus espesores. De acuerdo con los resultados de estos estudios, se han diseñado finalmente resonadores SMR operando a f .3 GHz en modo de cizalladura, con un área activa de 65000 /xm2, contactos eléctricos que se extienden f .7 mm y factores de calidad en líquido de f 50. Las extensiones eléctricas permiten adaptar el resonador a un sistema de fluídica de metacrilato. Para la detección de especies biológicas se realiza un montaje experimental que permite circular 800 ¡A por la superficie del sensor a través de un circuito cerrado que trabaja a volumen constante. La circulación de soluciones iónicas sobre el sensor descubierto pone de manifiesto que las altas frecuencias de operación previenen los cortocircuitos y por tanto el aislamiento de los electrodos es prescindible. Se desarrolla un protocolo ad-hoc de funcionalización basado en el proceso estándar APTESGlutaraldehído. Se proponen dos alternativas novedosas para la funcionalización de las áreas activas del sensor basadas en el uso de capas de oxidación de Ir02 y su activación a través de un plasma de oxígeno que no daña al dispositivo. Ambos procesos contribuyen a simplificar notablemente la funcionalización de los sensores gravimétricos. Se utilizan anticuerpos y aptámeros como receptores para detectar trombina, anticuerpo monoclonal IgG de ratón y bacteria sonicadas. Una calibración preliminar del sensor con depósitos de capas finas de Si02 de densidad y espesor conocidos permite obtener una sensibilidad de 1800 kHz/pg-cm2 y un límite de detección of 4.2 pg. Finalmente se propone el prototipo de un circuito electrónico de excitación y lectura de bajo coste diseñado empleando teoría de circuitos de microondas. Aunque su diseño y funcionamiento admite mejoras, constituye la última etapa de un sistema completo de bajo coste para el diagnóstico de especies biológicas basado en resonadores SMR de A1N. ABSTRACT Early diagnosis and detection of diseases are essential for reducing mortality rate and preventing long-term hospitalization and waste of resources. These requirements have boosted the efforts and funding on the research of accurate and reliable means for detection and quantification of biological species, also known as biosensors. The work presented in this thesis describes the development and fabrication of gravimetric biosensors based on piezoelectric AlN bulk acoustic wave (BAW) solidly mounted resonators (SMRs) for detection of biological species in liquid media. These type of devices base their sensing principles in the variation that their resonant frequency suffers when a mass is attached to their surface. They need to operate in the shear mode to maintain a strong resonance in liquid and an adequate functionalisation of their sensing area to guarantee that only the targeted molecules cause the shift. The challenges that need to be overcome to achieve piezoelectric BAW resonators for high sensitivity detection in fluids require a multidisciplinary approach, that include the study of the materials involved, the design of the device and the fluidic system, the biochemical functionalisation of the active area, the experimental proof-of-concept with different target species and the design of an electronic readout circuit. All this tasks have been tackled at different stages of the thesis and the relevant contributions are described in the document. In the field of materials, a two-stage sputtering deposition process has been developed to obtain good-quality AlN films with uniformly tilted grains required to excite the shear mode. The shear acoustic velocities of the materials composing the acoustic reflector have been accurately studied to ensure an optimum design of the reflector stack. WO3 sputtered films have been proposed as high acoustic impedance material for insulating acoustic reflectors. They display several technological advantages for the processing of the resonators. Regarding the design, a study of the influence of the electrical extensions necessary to fit a fluidic system on the performance of the devices has been performed. The results indicate that high resistivity substrates and insulating reflectors are necessary to avoid the hindering of the resonance due to the parasitic effects induced by the extensions. The influence of the different layers of the stack on the resultant TCF of the SMRs has also been investigated. The two layers of the reflector closer to the piezoelectric layer have a significant influence on the TCF, which can be reduced by modifying their thicknesses accordingly. The data provided by these studies has led to the final design of the devices, which operate at 1.3 GHz in the shear mode and display an active area of 65000 /xm2 and electrical extensions of 1.7 mm while keeping a Qahear=150 in liquid. The extensions enable to fit a custom-made fluidic system made of methacrylate. To perform the biosensing experiments, an experimental setup with a liquid closed circuit operating at constant flow has been developed. Buffers of ionic characteristics have been tested on non-isolated devices, revealing that high operation frequencies prevent the risk of short circuit. An ad-hoc functionalisation protocol based on the standard APTES - Glutaraldehyde process has been developed. It includes two new processes that simplify the fabrication of the transducers: the use of IrO2 as oxidation layer and its functionalisation through an O2 plasma treatment that does not damage the resonators. Both antibodies and aptamers are used as receptors. In liquid sensing proof-of-concept experiments with thrombin, IgG mouse monoclonal antibody and sonicated bacteria have been displayed. A preliminary calibration of the devices using SiO2 layers reveals a sensitivity of 1800 kHz/pg-cm2 and a limit of detection of 4.2 pg. Finally, a first prototype of a low-cost electronic readout circuit designed using a standard microwave approach has been developed. Although its performance can be significantly improved, it is an effective first approach to the final stage of a portable low-cost diagnostic system based on shear mode AlN SMRs.