Experimental and numerical assessment of the aeroelastic stability of blade pair packages

The stabilizing effect of grouping rotor blades in pairs has been assessed both, numerically and experimentally. The bending and torsion modes of a low aspect ratio high speed turbine cascade tested in the non-rotating test facility at EPFL (Ecole Polytechnique Fédérale de Lausanne) have been chosen as the case study. The controlled vibration of 20 blades in travelling wave form was performed by means of an electromagnetic excitation system, enabling the adjustement of the vibration amplitude and inter blade phase at a given frequency. Unsteady pressure transducers located along the blade mid-section were used to obtain the modulus and phase of the unsteady pressure caused by the airfoil motion. The stabilizing effect of the torsion mode was clearly observed both in the experiments and the simulations, however the effect of grouping the blades in pairs in the minimum damping at the tested frequency was marginal in the bending mode. A numerical tool was validated using the available experimental data and then used to extend the results at lower and more relevant reduced frequencies. It is shown that the stabilizing effect exists for the bending and torsion modes in the frequency range typical of low-pressure turbines. It is concluded that the stabilizing effect of this configuration is due to the shielding effect of the pressure side of the airfoil that defines the passage of the pair on the suction side of the same passage, since the relative motion between both is null. This effect is observed both in the experiments and simulations.

Direct and adjoint global stability analysis of turbulent transonic flows over a NACA0012 profile

In this work, various turbulent solutions of the two-dimensional (2D) and three-dimensional compressible Reynolds averaged Navier?Stokes equations are analyzed using global stability theory. This analysis is motivated by the onset of flow unsteadiness (Hopf bifurcation) for transonic buffet conditions where moderately high Reynolds numbers and compressible effects must be considered. The buffet phenomenon involves a complex interaction between the separated flow and a shock wave. The efficient numerical methodology presented in this paper predicts the critical parameters, namely, the angle of attack and Mach and Reynolds numbers beyond which the onset of flow unsteadiness appears. The geometry, a NACA0012 profile, and flow parameters selected reproduce situations of practical interest for aeronautical applications. The numerical computation is performed in three steps. First, a steady baseflow solution is obtained; second, the Jacobian matrix for the RANS equations based on a finite volume discretization is computed; and finally, the generalized eigenvalue problem is derived when the baseflow is linearly perturbed. The methodology is validated predicting the 2D Hopf bifurcation for a circular cylinder under laminar flow condition. This benchmark shows good agreement with the previous published computations and experimental data. In the transonic buffet case, the baseflow is computed using the Spalart?Allmaras turbulence model and represents a mean flow where the high frequency content and length scales of the order of the shear-layer thickness have been averaged. The lower frequency content is assumed to be decoupled from the high frequencies, thus allowing a stability analysis to be performed on the low frequency range. In addition, results of the corresponding adjoint problem and the sensitivity map are provided for the first time for the buffet problem. Finally, an extruded three-dimensional geometry of the NACA0012 airfoil, where all velocity components are considered, was also analyzed as a Triglobal stability case, and the outcoming results were compared to the previous 2D limited model, confirming that the buffet onset is well detected.

Electron transport and azimuthal oscillations in hall thrusters

The Hall Effect Thruster (HET) is a type of satellite electric propulsion device initially developed in the 1960’s independently by USA and the former USSR. The development continued in the shadow during the 1970’s in the Soviet Union to reach a mature status from the technological point of view in the 1980’s. In the 1990’s the advanced state of this Russian technology became known in western countries, which rapidly restarted the analysis and development of modern Hall thrusters. Currently, there are several companies in USA, Russia and Europe manufacturing Hall thrusters for operational use. The main applications of these thrusters are low-thrust propulsion of interplanetary probes, orbital raising of satellites and stationkeeping of geostationary satellites. However, despite the well proven in-flight experience, the physics of the Hall Thruster are not completely understood yet. Over the last two decades large efforts have been dedicated to the understanding of the physics of Hall Effect thrusters. However, the so-called anomalous diffusion, short name for an excessive electron conductivity along the thruster, is not yet fully understood as it cannot be explained with classical collisional theories. One commonly accepted explanation is the existence of azimuthal oscillations with correlated plasma density and electric field fluctuations. In fact, there is experimental evidence of the presence of an azimuthal oscillation in the low frequency range (a few kHz). This oscillation, usually called spoke, was first detected empirically by Janes and Lowder in the 1960s. More recently several experiments have shown the existence of this type of oscillation in various modern Hall thrusters. Given the frequency range, it is likely that the ionization is the cause of the spoke oscillation, like for the breathing mode oscillation. In the high frequency range (a few MHz), electron-drift azimuthal oscillations have been detected in recent experiments, in line with the oscillations measured by Esipchuk and Tilinin in the 1970’s. Even though these low and high frequency azimuthal oscillations have been known for quite some time already, the physics behind them are not yet clear and their possible relation with the anomalous diffusion process remains an unknown. This work aims at analysing from a theoretical point of view and via computer simulations the possible relation between the azimuthal oscillations and the anomalous electron transport in HET. In order to achieve this main objective, two approaches are considered: local linear stability analyses and global linear stability analyses. The use of local linear stability analyses shall allow identifying the dominant terms in the promotion of the oscillations. However, these analyses do not take into account properly the axial variation of the plasma properties along the thruster. On the other hand, global linear stability analyses do account for these axial variations and shall allow determining how the azimuthal oscillations are promoted and their possible relation with the electron transport.

Análisis paramétrico de transiciones a bocinas

Las transiciones en guía de onda son las estructuras utilizadas en microondas para transferir y adaptar la señal que viaja en un determinado sistema de transmisión (por ejemplo, un cable coaxial) a otro sistema de transmisión o a un sistema radiante (por ejemplo, una antena de bocina). Los dos sistemas de transmisión entre los que la transición adapta la señal pueden ser distintos o del mismo tipo pero con alguna de sus dimensiones diferente. Existen diferentes transiciones de guía de onda que dependiendo de su utilidad son diseñadas y construidas con diferentes secciones: circular, rectangular, elíptica o incluso combinaciones de éstas. No es necesario que la sección de la guía presente una forma geométrica conocida pero los estándares que se van a seguir hacen referencia en concreto a secciones rectangulares y circulares. En el trabajo que aquí se desarrolla se pretende optimizar por medio de simulaciones paramétricas una transición entre cable coaxial con conector tipo K y una guía de onda de sección circular que sigue el estándar presentado por Flann, Millitech y Antarfs para la banda WR34. La transición que va a ser objeto de este estudio se denomina transición tapered o transición conformada. Este tipo de transiciones se caracterizan por variar una de sus dimensiones progresivamente hasta llegar al tamaño definido en el estándar correspondiente. La manera de realizar la optimización de la transición se basará en el estudio del parámetro S11 que presente la estructura a lo largo de la banda de trabajo. Ya que se sigue el estándar WR34 la banda de trabajo que éste comprende va de 21,7 a 33 GHz. Se pretende conseguir que la respuesta del parámetro S11 se encuentre por debajo de -20 dB en la banda de WR34 como resultado del diseño para poder contar de esta manera con una buena adaptación. Finalmente se propondrá un criterio a seguir para optimizar este tipo de transiciones siguiendo el objetivo de mejor adaptación teniendo en cuenta el impacto de cada tramo sobre el rango de frecuencias en el que influye y se presentarán las características finales que presenta la transición bajo estudio. En este documento se introduce de manera breve la utilidad de los transformadores de impedancias lambda cuartos en líneas de transmisión, el estado del arte de las diferentes técnicas para su diseño, y la propuesta de diseño y caracterización objeto del presente trabajo. Posteriormente, se presenta el caso de estudio para el diseño de la transición para ser integrada a una bocina de choke. Luego, se introduce el marco teórico del trabajo presentando algunos ejemplos ilustrativos de tramos de guía de onda rectangular y guía de onda circular, introduciendo adaptadores de λ/4 en simulaciones. A continuación, se explica la implementación del modelo bajo estudio en CST (Computer Simulation Technology) Studio Suite. Finalmente se presenta la discusión de los resultados obtenidos, las conclusiones y líneas futuras de trabajo. ABSTRACT. Waveguide transitions are structures used in microwave in order to transfer and adapt the signal that travels from a certain transmission system (e.g. coaxial cable) to other transmission system or to a radiant system (e.g. horn antenna). Both transmission systems between which the transition adapts the signal can be different or from the same type, but with differences in some of their dimensions. There are different waveguide transitions that, depending on their utility, are designed and constructed in different sections: circular, rectangular, elliptic or combinations of the former. The section of the guide does not have to have a known geometric shape, although the standards to be followed in this thesis apply to rectangular and circular sections. In the work here presented, we aim to optimize by means of parametric simulations, a transition between a coaxial cable with a K-type connector and a waveguide with circular section following the standard presented by Flann, Millitech y Antarfs for the band WR34. The transition studied is called tapered transition, which is characterized by the progressive variation of its dimensions, until reaching the defined size of the corresponding standard. The way of optimizing the transition will be based in the study of the parameter S11 presented by the structure along the bandwidth. Since the standard used is the WR34, the bandwidth can be defined from 21.7 up to 33 GHz. It is aimed that the response of the S11 parameter be lower equal than -20dB in the frequency band under study according to the design in order to be well matched. Finally, a criterion to follow is proposed in order to optimize these transitions type, following the better-match objective. That will be done taking into account the impact of each section on the frequency range in which influences and the final characteristics of the studied transition will be presented. In this document, it is briefly introduced the utility of quarter-wave impedance transformers in transmission lines, the state-of-art of the different techniques for their design, and the proposal of design and characterization aimed with this work. Afterwards, the study case for the design of the transition to be integrated with a choke horn antenna will be presented. Later, the theoretical frame work is introduced, giving some illustrative examples of rectangular and circular waveguide sections, and also introducing λ/4 adaptors in the simulations. Subsequently, the implementation of the model under study in CST (Computer Simulation Technology) Studio Suite will be explained. Finally, the discussion of the results, conclusion and future lines of the work are presented.

Caracterización de sistemas vibroacústicos mediante análisis estadístico de energía

Hoy día nadie discute la importancia de predecir el comportamiento vibroacústico de estructuras (edificios, vehículos aeronaves, satélites). También se ha hecho patente, con el tiempo, que el rango espectral en el que la respuesta es importante se ha desplazado hacia alta frecuencia en prácticamente todos los campos. Esto ha hecho que los métodos de análisis en este rango alto de frecuencias cobren importancia y actualidad. Uno de los métodos más extendidos para este fin es el basado en el Análisis Estadístico de la Energía, SEA. Es un método que ha mostrado proporcionar un buen equilibrio entre potencia de calculo, precisión y fiabilidad. En un SEA el sistema (estructura, cavidades o aire circundante) se modela mediante una matriz de coeficientes que dependen directamente de los factores de pérdidas de las distintas partes del sistema. Formalmente es un método de análisis muy cómodo e intuitivo de manejar cuya mayor dificultad es precisamente la determinación de esos factores de pérdidas. El catálogo de expresiones analíticas o numéricas para su determinación no es suficientemente amplio por lo que normalmente siempre se suele acabar necesitando hacer uso de herramientas experimentales, ya sea para su obtención o la comprobación de los valores utilizados. La determinación experimental tampoco está exenta de problemas, su obtención necesita de configuraciones experimentales grandes y complejas con requisitos que pueden llegar a ser muy exigentes y en las que además, se ven involucrados problemas numéricos relacionados con los valores de los propios factores de pérdidas, el valor relativo entre ellos y las características de las matrices que conforman. Este trabajo estudia la caracterización de sistemas vibroacústicos mediante el análisis estadístico de energía. Se centra en la determinación precisa de los valores de los factores de pérdidas. Dados los problemas que puede presentar un sistema experimental de estas características, en una primera parte se estudia la influencia de todas las magnitudes que intervienen en la determinación de los factores de pérdidas mediante un estudio de incertidumbres relativas, que, por medio de los coeficientes de sensibilidad normalizados, indicará la importancia de cada una de las magnitudes de entrada (esencialmente energías y potencias) en los resultados. De esta parte se obtiene una visión general sobre a qué mensurados se debe prestar más atención, y de qué problemas pueden ser los que más influyan en la falta de estabilidad (o incoherencia) de los resultados. Además, proporciona un modelo de incertidumbres válido para los casos estudiados y ha permitido evaluar el error cometido por algún método utilizado habitualmente para la caracterización de factores de pérdidas como la aproximación a 2 subsistemas En una segunda parte se hace uso de las conclusiones obtenidas en la primera, de forma que el trabajo se orienta en dos direcciones. Una dirigida a la determi nación suficientemente fiel de la potencia de entrada que permita simplificar en lo posible la configuración experimental. Otra basada en un análisis detallado de las propiedades de la matriz que caracteriza un SEA y que conduce a la propuesta de un método para su determinación robusta, basada en un filtrado de Montecarlo y que, además, muestra cómo los problemas numéricos de la matriz SEA pueden no ser tan insalvables como se apunta en la literatura. Por último, además, se plantea una solución al caso en el que no todos los subsistemas en los que se divide el sistema puedan ser excitados. El método propuesto aquí no permite obtener el conjunto completo de coeficientes necesarios para definir un sistema, pero el solo hecho de poder obtener conjuntos parciales ya es un avance importante y, sobre todo, abre la puerta al desarrollo de métodos que permitan relajar de forma importante las exigencias que la determinación experimental de matrices SEA tiene. ABSTRACT At present there is an agreement about the importance to predict the vibroacoustic response of structures (buildings, vehicles, aircrafts, satellites, etc.). In addition, there has become clear over the time that the frequency range over which the response is important has been shift to higher frequencies in almost all the engineering fields. As a consequence, the numerical methods for high frequency analysis have increase in importance. One the most widespread methods for this type of analysis is the one based on the Statistical Energy Analysis, SEA. This method has shown to provide a good balance among calculation power, accuracy and liability. Within a SEA, a system (structure, cavities, surrounding air) is modeled by a coefficients matrix that depends directly on the loss factors of the different parts of the system. Formally, SEA is a very handy and intuitive analysis method whose greatest handicap is precisely the determination of the loss factors. The existing set of analytical or numerical equations to obtain the loss factor values is not enough, so that usually it is necessary to use experimental techniques whether it is to its determination to to check the estimated values by another mean. The experimental determination presents drawbacks, as well. To obtain them great and complex experimental setups are needed including requirements that can be very demanding including numerical problems related to the values of the loss factors themselves, their relative value and the characteristics of the matrices they define. The present work studies the characterization of vibroacousti systems by this SEA method. It focuses on the accurate determination of the loss factors values. Given all the problems an experimental setup of these characteristics can show, the work is divided in two parts. In the first part, the influence of all the quantities involved on the determination of the loss factors is studied by a relative uncertainty estimation, which, by means of the normalised sensitivity coefficients, will provide an insight about the importance of every input quantities (energies and input powers, mainly) on the final result. Besides, this part, gives an uncertainty model that has allowed assessing the error of one of the methods more widely used to characterize the loss factors: the 2-subsystem approach. In the second part, use of the former conclusions is used. An equation for the input power into the subsystems is proposed. This equation allows simplifying the experimental setup without changing the liability of the test. A detailed study of the SEA matrix properties leads to propose a robust determination method of this SEA matrix by a Monte Carlo filtering. In turn, this new method shows how the numerical problems of the SEA matrix can be overcome Finally, a solution is proposed for the case where not all the subsystems are excited. The method proposed do not allows obtaining the whole set of coefficients of the SEA matrix, but the simple fact of getting partial sets of loss factors is a significant advance and, over all, it opens the door to the development of new methods that loosen the requirements that an experimental determination of a SEA matrix have.

Calibration of accelerometers for the measurement of microvibrations

The accelerometers used for the measurement of microvibrations or microgravity applications, such as active control of space structures, attitude control, scientific payloads, or even on-Earth testing of structures at very low-excitation levels, require a dedicated calibration procedure that includes the gravitational effects. Otherwise, on-Earth calibrations can be inaccurate due to the collateral projection of the local gravity onto the sensitive axis. An on-Earth calibration technique for the 107102s amplitude range and 0-100-Hz frequency range is described. Special attention has been given to the modeling of gravitational effects on the response of the calibration device and the accelerometer itself. The sensitivity and resolution tests performed on piezoelectric accelerometers showthe accuracy andthe potential of thistechnique. Typical scale factorun certainty, which hasbeen carefully analyzed, is of the order of 2% at acceleration levels of 10sg.

The peculiar electrical response of liquid crystal-carbon nanotube systems as seen by impedance spectroscopy

Conductive nanoparticles, especially elongated ones such as carbon nanotubes, dramatically modify the electrical behavior of liquid crystal cells. These nanoparticles are known to reorient with liquid crystals in electric fields, causing significant variations of conductivity at minute concentrations of tens or hundreds ppm. The above notwithstanding, impedance spectroscopy of doped cells in the frequency range customarily employed by liquid crystal devices, 100 Hz?10 kHz, shows a relatively simple resistor/capacitor response where the components of the cell can be univocally assigned to single components of the electrical equivalent circuit. However, widening the frequency range up to 1 MHz or beyond reveals a complex behavior that cannot be explained with the same simple EEC. Moreover, the system impedance varies with the application of electric fields, their effect remaining after removing the field. Carbon nanotubes are reoriented together with liquid crystal reorientation when applying voltage, but barely reoriented back upon liquid crystal relaxation once the voltage is removed. Results demonstrate a remarkable variation in the impedance of the dielectric blend formed by liquid crystal and carbon nanotubes, the irreversible orientation of the carbon nanotubes and possible permanent contacts between electrodes.

Synchronization of oscillatory responses in visual cortex correlates with perception in interocular rivalry

In subjects suffering from early onset strabismus, signals conveyed by the two eyes are not perceived simultaneously but in alternation. We exploited this phenomenon of interocular suppression to investigate the neuronal correlate of binocular rivalry in primary visual cortex of awake strabismic cats. Monocularly presented stimuli that were readily perceived by the animal evoked synchronized discharges with an oscillatory patterning in the γ-frequency range. Upon dichoptic stimulation, neurons responding to the stimulus that continued to be perceived increased the synchronicity and the regularity of their oscillatory patterning while the reverse was true for neurons responding to the stimulus that was no longer perceived. These differential changes were not associated with modifications of discharge rate, suggesting that at early stages of visual processing the degree of synchronicity rather than the amplitude of responses determines which signals are perceived and control behavioral responses.

Reciprocal electromechanical properties of rat prestin: The motor molecule from rat outer hair cells

Cochlear outer hair cells (OHCs) are responsible for the exquisite sensitivity, dynamic range, and frequency-resolving capacity of the mammalian hearing organ. These unique cells respond to an electrical stimulus with a cycle-by-cycle change in cell length that is mediated by molecular motors in the cells' basolateral membrane. Recent work identified prestin, a protein with similarity to pendrin-related anion transporters, as the OHC motor molecule. Here we show that heterologously expressed prestin from rat OHCs (rprestin) exhibits reciprocal electromechanical properties as known for the OHC motor protein. Upon electrical stimulation in the microchamber configuration, rprestin generates mechanical force with constant amplitude and phase up to a stimulus frequency of at least 20 kHz. Mechanical stimulation of rprestin in excised outside-out patches shifts the voltage dependence of the nonlinear capacitance characterizing the electrical properties of the molecule. The results indicate that rprestin is a molecular motor that displays reciprocal electromechanical properties over the entire frequency range relevant for mammalian hearing.

Linear and nonlinear pathways of spectral information transmission in the cochlear nucleus

At the level of the cochlear nucleus (CN), the auditory pathway divides into several parallel circuits, each of which provides a different representation of the acoustic signal. Here, the representation of the power spectrum of an acoustic signal is analyzed for two CN principal cells—chopper neurons of the ventral CN and type IV neurons of the dorsal CN. The analysis is based on a weighting function model that relates the discharge rate of a neuron to first- and second-order transformations of the power spectrum. In chopper neurons, the transformation of spectral level into rate is a linear (i.e., first-order) or nearly linear function. This transformation is a predominantly excitatory process involving multiple frequency components, centered in a narrow frequency range about best frequency, that usually are processed independently of each other. In contrast, type IV neurons encode spectral information linearly only near threshold. At higher stimulus levels, these neurons are strongly inhibited by spectral notches, a behavior that cannot be explained by level transformations of first- or second-order. Type IV weighting functions reveal complex excitatory and inhibitory interactions that involve frequency components spanning a wider range than that seen in choppers. These findings suggest that chopper and type IV neurons form parallel pathways of spectral information transmission that are governed by two different mechanisms. Although choppers use a predominantly linear mechanism to transmit tonotopic representations of spectra, type IV neurons use highly nonlinear processes to signal the presence of wide-band spectral features.

Estudo da intensificação da coalescência de emulsões de água em óleo com a aplicação de onda estacionária de ultrassom.

Considerando que o petróleo quando extraído dos poços em águas profundas chega a ter teor de água superior a 50% e que antes de ser enviado à refinaria deve ter uma quantidade de água inferior a 1%, torna-se necessário o uso de técnicas de redução da quantidade de água. Durante a extração do petróleo formam-se emulsões de água em óleo que são muito estáveis devido a um filme interfacial contendo asfaltenos e/ou resinas ao redor das gotas de água. Nesse trabalho é apresentada a utilização de ondas estacionárias de ultrassom para realizar a quebra dessas emulsões. Quando gotículas de água com dimensões da ordem de 10m, muito menores que o comprimento de onda, são submetidas a um campo acústico estacionário em óleo, a força de radiação acústica empurra as gotículas para os nós de pressão da onda. Uma célula de coalescência com frequência central ao redor de 1 MHz, constituída por quatro camadas sendo uma piezelétrica, uma de acoplamento sólido, uma com o líquido e outra refletora, foi modelada empregando o método da matriz de transferência, que permite calcular a impedância elétrica em função da frequência. Para minimizar o efeito do gradiente de temperatura entre a entrada e a saída da cavidade da célula, quando está em operação, foram utilizados dois transdutores piezelétricos posicionados transversalmente ao fluxo que são excitados e controlados independentemente. Foi implementado um controlador digital para ajustar a frequência e a potência de cada transdutor. O controlador tem como entrada o módulo e a fase da corrente elétrica no transdutor e como saída a amplitude da tensão elétrica e a frequência. Para as células desenvolvidas, o algoritmo de controle segue um determinado pico de ressonância no interior da cavidade da célula no intervalo de frequência de 1,09 a 1,15 MHz. A separação acústica de emulsões de água em óleo foi realizada em uma planta de laboratório de processamento de petróleo no CENPES/PETROBRAS. Foram testados a variação da quantidade de desemulsificante, o teor inicial de água na emulsão e a influência da vazão do sistema, com uma potência de 80 W. O teor final de água na emulsão mostrou que a aplicação de ultrassom aumentou a coalescência de água da emulsão, em todas as condições testadas, quando comparada a um teste sem aplicação de ultrassom. Identificou-se o tempo de residência no interior da célula de separação como um fator importante no processo de coalescência de emulsões de água e óleo. O uso de desemulsificante químico é necessário para realizar a separação, porém, em quantidades elevadas implicaria no uso de processos adicionais antes do repasse final do petróleo à refinaria. Os teores iniciais de água na emulsão de 30 e 50% indicam que o uso da onda estacionária na coalescência de emulsões não tem limitação quanto a esse parâmetro. De acordo com os resultados obtidos em laboratório, essa técnica seria indicada como uma alternativa para integrar um sistema de processamento primário em conjunto com um separador eletrostático.

Intrinsic spin noise in MgO magnetic tunnel junctions

We consider two intrinsic sources of noise in ultra-sensitive magnetic field sensors based on MgO magnetic tunnel junctions, coming both from 25 Mg nuclear spins (I = 5/2, 10% natural abundance) and S = 1 Mg-vacancies. While nuclear spins induce noise peaked in the MHz frequency range, the vacancies noise peaks in the GHz range. We find that the nuclear noise in submicron devices has a similar magnitude than the 1/f noise, while the vacancy-induced noise dominates in the GHz range. Interestingly, the noise spectrum under a finite magnetic field gradient may provide spatial information about the spins in the MgO layer.

Análisis numérico del comportamiento vibratorio del conjunto móvil de un altavoz dinámico

En este trabajo se describe el proceso llevado a cabo para analizar numéricamente mediante el método de los elementos finitos (MEF) el comportamiento vibratorio del conjunto móvil de un altavoz dinámico de bobina con doble suspensión inferior y en ausencia de la superior. El estudio se centra en el rango de baja frecuencia. El calibrado del modelo se realiza en base a medidas experimentales de la frecuencia de resonancia y desplazamiento del diafragma. Se hace énfasis en la importancia de los factores de participación asociados a la fuerza de excitación y en los cambios que se producen en estos al introducir fuerzas no equilibradas. Así mismo, el análisis proporciona datos para decidir sobre la distancia entre suspensiones, su número óptimo de pliegues y la ubicación de las trencillas, siendo estos parámetros de gran interés en el diseño de este tipo de altavoces.

Mode Localization in a Nearly Cyclic Symmetric System

Thesis (Ph.D.)--University of Washington, 2016-06

Conductivity tomography at two frequencies

We present a new approach for crosshole radio tomography. Conductivity images of the investigated area are reconstructed from the ratio of the electric field intensities measured at two similar frequencies. The method largely avoids assumptions about the radiation pattern and in-situ intensity of the transmitting antenna, which introduce errors in conventional single-frequency crosshole electromagnetic-absorption tomography. Application of the method to field data achieved an improvement in resolution of anomalies over traditional single-frequency absorption tomography. The dual-frequency method is not a universal approach; it is suitable for moderately conductive media (>0.01 S/m) over the approximate frequency range 1-100 MHz.