Circuital model for the spherical geodesic waveguide perfect drain

The perfect drain for the Maxwell fish eye (MFE) is a non-magnetic dissipative region placed in the focal point to absorb all the incident radiation without reflection or scattering.

Perfect imaging of three object points with only two analytic lens surfaces in two dimensions

In this work, a new two-dimensional analytic optics design method is presented that enables the coupling of three ray sets with two lens profiles. This method is particularly promising for optical systems designed for wide field of view and with clearly separated optical surfaces. However, this coupling can only be achieved if different ray sets will use different portions of the second lens profile. Based on a very basic example of a single thick lens, the Simultaneous Multiple Surfaces design method in two dimensions (SMS2D) will help to provide a better understanding of the practical implications on the design process by an increased lens thickness and a wider field of view. Fermat?s principle is used to deduce a set of functional differential equations fully describing the entire optical system. The transformation of these functional differential equations into an algebraic linear system of equations allows the successive calculation of the Taylor series coefficients up to an arbitrary order. The evaluation of the solution space reveals the wide range of possible lens configurations covered by this analytic design method. Ray tracing analysis for calculated 20th order Taylor polynomials demonstrate excellent performance and the versatility of this new analytical optics design concept.

Perfect imaging analysis of the spherical geodesic waveguide

Negative Refractive Lens (NRL) has shown that an optical system can produce images with details below the classic Abbe diffraction limit. This optical system transmits the electromagnetic fields, emitted by an object plane, towards an image plane producing the same field distribution in both planes. In particular, a Dirac delta electric field in the object plane is focused without diffraction limit to the Dirac delta electric field in the image plane. Two devices with positive refraction, the Maxwell Fish Eye lens (MFE) and the Spherical Geodesic Waveguide (SGW) have been claimed to break the diffraction limit using positive refraction with a different meaning. In these cases, it has been considered the power transmission from a point source to a point receptor, which falls drastically when the receptor is displaced from the focus by a distance much smaller than the wavelength. Although these systems can detect displacements up to ?/3000, they cannot be compared to the NRL, since the concept of image is different. The SGW deals only with point source and drain, while in the case of the NRL, there is an object and an image surface. Here, it is presented an analysis of the SGW with defined object and image surfaces (both are conical surfaces), similarly as in the case of the NRL. The results show that a Dirac delta electric field on the object surface produces an image below the diffraction limit on the image surface.

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.

Analysis of the Iberian electricity forward market hedging efficiency

An assessment of the hedging performance in the Iberian Forward Electricity Market is performed. Aggregated data from the Portuguese and Spanish clearing houses for energy derivatives are considered. The hedging performance is measured through the ratio of the final open interest of a month derivatives contract divided by its accumulated cleared volume. The base load futures in the Iberian energy derivatives exchange show the lowest ratios due to good liquidity. The peak futures show bigger ratios as their reduced liquidity is produced by auctions fixed by Portuguese regulation. The base load swaps settled in the clearing house located in Spain show initially large values due to low registered volumes, as this clearing house is mainly used for short maturity (daily and weekly swaps). This hedging ratio can be a powerful oversight tool for energy regulators when accessing to all the derivatives transactions as envisaged by European regulation.

Conditions for perfect focusing multiple point sources with the SMS design method

In this work, we demonstrate how it is possible to sharply image multiple object points. The Simultaneous Multiple Surface (SMS) design method has usually been presented as a method to couple N wave-front pairs with N surfaces, but recent findings show that when using N surfaces, we can obtain M image points when N

A Comparative Analysis of Hedging in a Corpus of Two Written Legal Discourse Genres

Esta tesis doctoral, que es la culminación de mis estudios de doctorado impartidos por el Departamento de Lingüística Aplicada a la Ciencia y a la Tecnología de la Universidad Politécnica de Madrid, aborda el análisis del uso de la matización (hedging) en el lenguaje legal inglés siguiendo los postulados y principios de la análisis crítica de género (Bhatia, 2004) y empleando las herramientas de análisis de córpora WordSmith Tools versión 6 (Scott, 2014). Como refleja el título, el estudio se centra en la descripción y en el análisis contrastivo de las variedades léxico-sintácticas de los matizadores del discurso (hedges) y las estrategias discursivas que con ellos se llevan a cabo, además de las funciones que éstas desempeñan en un corpus de sentencias del Tribunal Supremo de EE. UU., y de artículos jurídicos de investigación americanos, relacionando, en la medida posible, éstas con los rasgos determinantes de los dos géneros, desde una perspectiva socio-cognitiva. El elemento innovador que ofrece es que, a pesar de los numerosos estudios que se han podido realizar sobre los matizadores del discurso en el inglés general (Lakoff, 1973; Hübler, 1983; Clemen, 1997; Markkanen and Schröder, 1997; Mauranen, 1997; Fetzer 2010; y Finnegan, 2010 entre otros) académico (Crompton, 1997; Meyer, 1997; Skelton, 1997; Martín Butragueňo, 2003) científico (Hyland, 1996a, 1996c, 1998c, 2007; Grabe and Kaplan, 1997; Salager-Meyer, 1997 Varttala, 2001) médico (Prince, 1982; Salager-Meyer, 1994; Skelton, 1997), y, en menor medida el inglés legal (Toska, 2012), no existe ningún tipo de investigación que vincule los distintos usos de la matización a las características genéricas de las comunicaciones profesionales. Dentro del lenguaje legal, la matización confirma su dependencia tanto de las expectativas a macro-nivel de la comunidad de discurso, como de las intenciones a micro-nivel del escritor de la comunicación, variando en función de los propósitos comunicativos del género ya sean éstos educativos, pedagógicos, interpersonales u operativos. El estudio pone de relieve el uso predominante de los verbos modales epistémicos y de los verbos léxicos como matizadores del discurso, estos últimos divididos en cuatro tipos (Hyland 1998c; Palmer 1986, 1990, 2001) especulativos, citativos, deductivos y sensoriales. La realización léxico-sintáctica del matizador puede señalar una de cuatro estrategias discursivas particulares (Namsaraev, 1997; Salager-Meyer, 1994), la indeterminación, la despersonalización, la subjectivisación, o la matización camuflada (camouflage hedging), cuya incidencia y función varia según género. La identificación y cuantificación de los distintos matizadores y estrategias empleados en los diferentes géneros del discurso legal puede tener implicaciones pedagógicos para los estudiantes de derecho no nativos que tienen que demostrar una competencia adecuada en su uso y procesamiento. ABSTRACT This doctoral thesis, which represents the culmination of my doctoral studies undertaken in the Department of Linguistics Applied to Science and Technology of the Universidad Politécnica de Madrid, focusses on the analysis of hedging in legal English following the principles of Critical Genre Analysis (Bhatia, 2004), and using WordSmith Tools version 6 (Scott, 2014) corpus analysis tools. As the title suggests, this study centers on the description and contrastive analysis of lexico-grammatical realizations of hedges and the discourse strategies which they can indicate, as well as the functions they can carry out, in a corpus of U.S. Supreme Court opinions and American law review articles. The study relates realization, incidence and function of hedging to the predominant generic characteristics of the two genres from a socio-cognitive perspective. While there have been numerous studies on hedging in general English (Lakoff, 1973; Hübler, 1983; Clemen, 1997; Markkanen and Schröder, 1997; Mauranen, 1997; Fetzer 2010; and Finnegan, 2010 among others) academic English (Crompton, 1997; Meyer, 1997; Skelton, 1997; Martín Butragueňo, 2003) scientific English (Hyland, 1996a, 1996c, 1998c, 2007; Grabe and Kaplan, 1997; Salager-Meyer, 1997 Varttala, 2001) medical English (Prince, 1982; Salager-Meyer, 1994; Skelton, 1997), and, to a lesser degree, legal English (Toska, 2012), this study is innovative in that it links the different realizations and functions of hedging to the generic characteristics of a particular professional communication. Within legal English, hedging has been found to depend on not only the macro-level expectations of the discourse community for a specific genre, but also on the micro-level intentions of the author of a communication, varying according to the educational, pedagogical, interpersonal or operative purposes the genre may have. The study highlights the predominance of epistemic modal verbs and lexical verbs as hedges, dividing the latter into four types (Hyland, 1998c; Palmer, 1986, 1990, 2001): speculative, quotative, deductive and sensorial. Lexical-grammatical realizations of hedges can signal one of four discourse strategies (Namsaraev, 1997; Salager-Meyer, 1994), indetermination, depersonalization, subjectivization and camouflage hedging, as well as fulfill a variety of functions. The identification and quantification of the different hedges and hedging strategies and functions in the two genres may have pedagogical implications for non-native law students who must demonstrate adequate competence in the production and interpretation of hedged discourse.