Super-resolution properties of the Spherical Geodesic Waveguides using the perfect drain

Perfect drain for the Maxwell Fish Eye (MFE) is a nonmagnetic dissipative region placed in the focal point to absorb all the incident radiation without reflection or scattering. The perfect drain was recently designed as a material with complex permittivity ? that depends on frequency. However, this material is only a theoretical material, so it can not be used in practical devices. Recently, the perfect drain has been claimed as necessary to achieve super-resolution [Leonhard 2009, New J. Phys. 11 093040], which has increased the interest for practical perfect drains suitable for manufacturing. Here, we analyze the superresolution properties of a device equivalent to the MFE, known as Spherical Geodesic Waveguide (SGW), loaded with the perfect drain. In the SGW the source and drain are implemented with coaxial probes. The perfect drain is realized using a circuit (made of a resistance and a capacitor) connected to the drain coaxial probes. Superresolution analysis for this device is done in Comsol Multiphysics. The results of simulations predict the superresolution up to ? /3000 and optimum power transmission from the source to the drain.

Perfect imaging of point sources with positive refraction

The capability of a device called the Spherical Geodesic Waveguide (SGW) to produce images with details below the classic Abbe diffraction limit (super-resolution) is analyzed here. The SGW is an optical system equivalent (by means of Transformation Optics) to the Maxwell Fish Eye (MFE) refractive index distribution. Recently, it has been claimed that the necessary condition to get super-resolution in the MFE and the SGW is the use of a Perfect Point Drain (PPD). The PPD is a punctual receptor placed in the focal point that absorbs the incident wave, without reflection or scattering. A microwave circuit comprising three elements, the SGW, the source and the drain (two coaxial lines loaded with specific impedances) is designed and simulated in COMSOL. The super-resolution properties have been analyzed for different position of the source and drain and for two different load impedances: the PPD and the characteristic line impedance. The results show that in both cases super-resolution occurs only for discrete number of frequencies. Out of these frequencies, the SGW does not show SR in the analysis carried out.

Sistema de adquisición de datos compacto para medidas de extensiometría y posición

En este proyecto se trata el diseño y construcción de un sistema de adquisición de datos compacto y de bajo coste para medidas de extensiometría y posición. Dicho sistema irá embarcado en una bicicleta de montaña con el fin de medir determinados parámetros. Estos parámetros son a) Elongación de las suspensiones, b) Deformación en el cuadro. Para la medida de elongación de las suspensiones se diseña y construye un sensor casero de bajo coste basado en una transparencia y un par de diodos fotoemisor y fotorreceptor infrarrojos. Se imprime un gradiente y se emplean dos tubos coaxiales de PVC. La medida de extensiometría se realiza con galgas extensiométricas, puentes de Wheatstone y amplificador de instrumentación. Las muestras se digitalizan con el ADC del microcontrolador C8051F020 de la casa Silabs, que se usa en una placa de desarrollo, y se almacenan en una memoria flash serie. Se desarrolla un software para PC con LabView para poder recibir, procesar y visualizar las muestras obtenidas de los distintos canales con el fin de analizarlas. Se obtienen conclusiones de los resultados de pruebas básicas. ABSTRACT On this project, the design and construction of a compact, low cost, data adquisition system for strain and position measurements is dealt with. Such system will be embedded on a bicycle in order to measure certain parameters. These are a) Suspension elongation, b) Frame deformation. For suspension elongation measurements, a homemade, low cost sensor based on a photoemitter-photoreceiver diode couple and a transparent sheet is designed and built. A gradient is printed in the transparent sheet, and two coaxial PVC pipes are used. Strain measurements are carried out by means of a strain gage, Wheatstone bridges and an instrumentation amplifier. Samples are digitized with Silabs’ C8051F020’s ADC, which is used in a development board, and are stored in a serial flash memory. Software for PC on LabView is developed in order to receive, process and visualize the obtained samples from each channel in order to analyze them. Results are obtained from basic tests.

The breaking of axisymmetric slender liquid bridges

Liquids held by surface tension forces can bridge the gap between two solid bodies placed not too far apart from each other. The equilibrium conditions and stability criteria for static, cylindrical liquid bridges are well known. However, the behaviour of an unstable liquid bridge, regarding both its transition toward breaking and the resulting configuration, is a matter for discussion. The dynamical problem of axisymmetric rupture of a long liquid bridge anchored at two equal coaxial disks is treated in this paper through the adoption of one-dimensional theories which are widely used in capillary jet problems

Stability of slender, axisymmetric liquid bridges between unequal disks

The stability of slender, axisymmetric liquid bridges held by surface tension forces between two coaxial, parallel solid disks having different radii is studied by using standard perturbation techniques. The results obtained show that the behaviour of such configurations becomes similar to that of liquid bridges between equal disks when subject to small axial gravity forces.

Experimental evidence of super-resolution better than lambda/105 with positive refraction

Super-resolution (SR) systems surpassing the Abbe diffraction limit have been theoretically and experimentally demonstrated using a number of different approaches and technologies: using materials with a negative refractive index, utilizing optical super-oscillation, using a resonant metalens, etc. However, recently it has been proved theoretically that in the Maxwell fish-eye lens (MFE), a device made of positive refractive index materials, the same phenomenon takes place. Moreover, using a simpler device equivalent to the MFE called the spherical geodesic waveguide (SGW), an SR of up to λ/3000 was simulated in COMSOL. Until now, only one piece of experimental evidence of SR with positive refraction has been reported (up to λ/5) for an MFE prototype working at microwave frequencies. Here, experimental results are presented for an SGW prototype showing an SR of up to λ/105. The SGW prototype consists of two concentric metallic spheres with an air space in between and two coaxial ports acting as an emitter and a receiver. The prototype has been analyzed in the range 1 GHz to 1.3 GHz.

Caracterización probabilística de vidrio mediante diferentes tipos de ensayos

El vidrio no puede ser tratado como un material estructural convencional desde el punto de vista de la resistencia mecánica. Su naturaleza, como material frágil, junto con la inevitable presencia de microfisuras en su superficie y las consecuencias de accidentes por posibles fallos, exigen métodos rigurosos que garanticen un cálculo seguro de los elementos estructurales de vidrio, cuya resistencia a rotura depende en gran medida del tamaño del elemento y del tipo de carga a la que está sometido. Por lo tanto, su cálculo debe basarse en conceptos probabilísticos y en criterios de mecánica de la fractura, en sustitución de un cálculo convencional de vidrio según tablas deducidas de programas experimentales y posterior aplicación del concepto de tensiones admisibles. Con el fin de analizar y comparar las características mecánicas de vidrios templados, termoendurecidos y recocidos, se realizó un amplio programa experimental de ensayos de flexión a cuatro puntos y de anillos concéntricos de pequeña superficie, seguido de un ajuste de los resultados mediante una función de distribución triparamétrica de Weibull. Glass cannot be handled as a conventional structural material from the point of view of the mechanical strength. Its nature as brittle material, together with the inevitable presence of micro-cracks on its surface and the consequences of eventual failures, demand rigorous methods to achieve a safe design for glass elements, whose stress resistance is very much dependent on the integrity of its surface, element size and loading pattern. Thus, its design must rely on probabilistic concepts and fracture mechanics criteria, substitutive of the conventional glass design based on charts derived from experimental programs and subsequent application of the admissible stress concept. In order to analyze and compare the strength characteristics of tempered, heat-strengthened and annealed glass, a large experimental programme based on four-point bending and coaxial double ring tests was performed and the results were fitted using a three-parameter Weibull cumulative distribution function.

Influencia de un recubrimiento de vinilo en la tensión de fractura del vidrio en ensayos de anillos concéntricos con gran superficie

El comportamiento post-rotura de los vidrios laminados es uno de los temas que están siendo investigados para explicar la capacidad de carga remanente tras la rotura de la primera lámina. En investigaciones previas se ha observado que en el caso de impacto humano en vidrios recocidos se llega a una capacidad hasta 3 veces superior, sin explicación clara del comportamiento estructural del conjunto. Para realizar un acercamiento a la resistencia a la rotura del vidrio laminado se ha planificado una campaña de ensayos de rotura con anillos concéntricos de grandes superficies en vidrio recocido, termoendurecido y templado, con dos series adicionales de vidrio recocido y termoendurecido con una capa de butiral adherida justo después del proceso de fabricación. Para realizar la comparación de las distribuciones de Weibull de las distintas tensiones de rotura se utiliza un proceso iterativo basado en la distribución real de tensiones obtenida con un modelo de elementos finitos ajustado con datos experimentales. Las comparaciones finales muestran un aumento apreciable de la resistencia (45%) en el caso de vidrios recocidos, y menor en el de los termoendurecidos (25%).The post-fracture behavior of the laminated glasses is one of the research topics that are being studied to explain the load capacity after the break of the first sheet. Previous experimental work have shown, that in case of human impact in annealed glasses, the capacity of bearing load it can be up to 3 times higher without clear explanation of the structural behavior of the plate. To make an approximation to the post-fracture resistance, a experimental program to test annealed, heat-tempered and toughened glass plates has been prepared. Two additional series of annealed and heattempered, with a layer of polyvinyl butyral adhered just after the manufacturing process, have also been incorporated. Coaxial Double Ring with large test surface areas Coaxial Double Ring with large test surface areas is the standard that has been followed. To make the comparison of Weibull's distributions of the different fracture stress, an iterative process based on the actual stress distribution obtained with a finite elements model updated with experimental results has been used. Final comparisons show a great stress improvement for the annealed glass plates (45 %), and a minor increment for the heat-tempered (25 %).

Antena impresa para comunicaciones por satélite en banda Ka: Esquema de array y elementos radiantes

Este trabajo fin de grado versa sobre el diseño y simulación del elemento radiante de una antena impresa con polarización circular, operativa en la banda Ka de frecuencias (18 – 31 GHz) para un sistema de comunicaciones entre aviones y satélites. Su principal característica es que la antena está formada por placas de circuito impreso apiladas. En las placas superiores se sitúan los elementos radiantes, mientras que en las capas internas se diseñan las líneas de transmisión, que forman la alimentación del array. Como elementos radiantes se ha recurrido a la tecnología de parches apilados, para conseguir un ancho de banda relativamente alto en una estructura multicapa de dieléctricos plásticos. Para excitarlos se han desarrollado dos tipos de red de alimentación, para comprobar con cuál se obtiene una mejor respuesta. Los tipos que se usan son: mediante sonda coaxial y por línea de transmisión, concretamente stripline. Respecto a la polarización circular del elemento (en tecnología stripline), se desarrolla una red de polarización haciendo uso de una doble alimentación y un híbrido 90º. Entre los elementos de este tipo de estructuras se produce un fuerte acoplo. Para reducir el efecto de este acoplo, se realiza un análisis optimizando el diseño

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.

Minimum volume for a liquid bridge between equal disks

The lower stability limit for axisymmetric floating zones at rest between equal coaxial disks has been experimentally verified for several disk-separation/disk-diameter ratios by using the neutral buoyancy technique. Results show a close agre ment with theory in the case of bridge disruption and a wide scatter in the case of bridge etachment.

Long liquid bridges aboard sounding rockets

Large free liquid volumes, 30 mm in diameter and 80 mm long, anchored to coaxial discs, have been achieved during a sounding-rocket flight. As these flights provide some six minutes of microgravity and the formation of the liquid column takes only a matter of seconds, ample time is left for experimentation. The results of these trials are presented, and the equipment used to obtain them is briefly described.

Hydrostatic instabilities in floating zone cristal growth process

If only Fluid Mechanics aspects are considered, the configuration appearing in the floating zone technique for crystal growth can be modelled as a mass of liquid spanning between two solid rods. Besides, if now the influence of temperature gradients and heat flow are not considered, the simplest fluid model consists of an isothermal liquid mass of constant properties (density and surface tension) held by capillary forces between two solid disks placed a distance L apart: the so called liquid bridge. As it is well known, if both supporting disks were parallel, coaxial and of the same diameter, 2R, the volume of liquid, V, were equal to that of a cylinder of the same L and R (V=KR~L) and no body forces were acting on the liquid column, the fluid configuration (under these conditions of cylindrical shape) will become unstable when the distance between the disks equals the length of the circumference of the supporting disks (L=2KR, the so-called Rayleigh stability limit). One should be aware that the Rayleigh stability limit can be dramatically modified when the geometry differs from the above described cylinder (due to having non-coaxial disks, different diameter disks, liquid volume different from the cylindrical one, etc) or when other external effects like accelerations either axial or lateral are considered. In this paper the stability limits of liquid bridges considering different types of perturbations are reviewed.

New patterns of centrifugally driven thermal convection

An experimental study is described of convection driven by thermal buoyancy in the annular gap between two corotating coaxial cylinders, heated from the outside and cooled from the inside. Steady convection patterns of the hexaroll and of the knot type are observed in the case of high Prandtl number fluids, for which the Coriolis force is sufficiently small. Oblique rolls and phase turbulence in the form of irregular patterns of convection can also be observed in wide regions of the parameter space.

A trans-acting RNA as a control switch in Escherichia coli: DsrA modulates function by forming alternative structures

DsrA is an 87-nucleotide regulatory RNA of Escherichia coli that acts in trans by RNA–RNA interactions with two different mRNAs, hns and rpoS. DsrA has opposite effects on these transcriptional regulators. H-NS levels decrease, whereas RpoS (σs) levels increase. Here we show that DsrA enhances hns mRNA turnover yet stabilizes rpoS mRNA, either directly or via effects on translation. Computational and RNA footprinting approaches led to a refined structure for DsrA, and a model in which DsrA interacts with the hns mRNA start and stop codon regions to form a coaxial stack. Analogous bipartite interactions exist in eukaryotes, albeit with different regulatory consequences. In contrast, DsrA base pairs in discrete fashion with the rpoS RNA translational operator. Thus, different structural configurations for DsrA lead to opposite regulatory consequences for target RNAs.