3-D modeling of perimeter recombination in GaAs diodes and its influence on concentrator solar cells

This paper describes a complete modelling of the perimeter recombination of GaAs diodes which solves most unknowns and suppresses the limitations of previous models. Because of the three dimensional nature of the implemented model, it is able to simulate real devices. GaAs diodes on two epiwafers with different base doping levels, sizes and geometries, namely square and circular are manufactured. The validation of the model is achieved by fitting the experimental measurements of the dark IV curve of the manufactured GaAs diodes. A comprehensive 3-D description of the occurring phenomena affecting the perimeter recombination is supplied with the help of the model. Finally, the model is applied to concentrator GaAs solar cells to assess the impact of their doping level, size and geometry on the perimeter recombination.

Analysis of perimeter recombination in the subcells of GaInP/GaAs/Ge triple-junction solar cells

This paper studies the recombination at the perimeter in the subcells that constitute a GaInP/GaAs/Ge lattice-matched triple-junction solar cell. For that, diodes of different sizes and consequently different perimeter/area ratios have been manufactured in single-junction solar cells resembling the subcells in a triple-junction solar cell. It has been found that neither in GaInP nor in Ge solar cells the recombination at the perimeter is significant in devices as small as 500 μm × 500μm(2.5 ⋅ 10 − 3 cm2) in GaInP and 250μm  × 250μm (6.25 ⋅ 10 − 4cm2) in Ge. However, in GaAs, the recombination at the perimeter is not negligible at low voltages even in devices as large as 1cm2, and it is the main limiting recombination factor in the open circuit voltage even at high concentrations in solar cells of 250 μm  × 250μm (6.25 ⋅ 10 − 4 cm2) or smaller. Therefore, the recombination at the perimeter in GaAs should be taken into account when optimizing triple-junction solar cells.

Geochemical fingerprints and controls in the sediments of an urban river: River Manzanares, Madrid (Spain)

The geochemical fingerprint of sediment retrieved from the banks of the River Manzanares as it passes through the City of Madrid is presented here. The river collects the effluent water from several Waste Water Treatment (WWT) plants in and around the city, such that, at low flows, up to 60% of the flow has been treated. A total of 18 bank-sediment cores were collected along the course of the river, down to its confluence with the Jarama river, to the south–east of Madrid. Trace and major elements in each sample were extracted following a double protocol: (a) “Total” digestion with HNO3, HClO4 and HF; (b) “Weak” digestion with sodium acetate buffered to pH=5 with acetic acid, under constant stirring. The digests thus obtained were subsequently analysed by ICP-AES, except for Hg which was extracted with aqua regia and sodium chloride-hydroxylamine sulfate, and analysed by Cold Vapour-AAS. X-ray diffraction was additionally employed to determine the mineralogical composition of the samples. Uni- and multivariate analyses of the chemical data reveal the influence of Madrid on the geochemistry of Manzanares' sediments, clearly manifested by a marked increase in the concentration of typically “urban” elements Ag, Cr, Cu, Pb and Zn, downstream of the intersection of the river with the city's perimeter. The highest concentrations of these elements appear to be associated with illegal or accidental dumping of waste materials, and with the uncontrolled incorporation of untreated urban runoff to the river. The natural matrix of the sediment is characterised by fairly constant concentrations of Ce, La and Y, whereas changes in the lithology intersected by the river cause corresponding variations in Ca–Mg and Al–Na contents. In the final stretch of the river, the presence of carbonate materials seems to exert a strong geochemical control on the amount of Zn and, to a lesser extent, Cu immobilised in the sediments. This fact suggests that a variable but significant proportion of both elements may be susceptible to reincorporation in the aqueous phase under realistic environmental conditions.

The Irregular Ribbed Vault of the Sacristy of the Cathedral of Saint-Jean Baptiste in Perpignan

The vault of the sacristy of the Cathedral of Saint-Jean Baptiste in Perpignan (France), constructed by the Majorcan architect Guillem Sagrera between 1433 and 1447, is an outstanding, yet strikingly unknown, example of rib vaulting. This paper analyzes the overall construction of the form of the vault, characterized by its highly irregular perimeter, with particular attention to an isolated decorated corbel which solves the problem of the wall support of a group of six ribs and is in stark contrast with the rest of the supports, which are completely unadorned. Given the extreme rigour of Sagrera in all his works (and this one in particular), this apparent “capriccio” must be justified not only by decorative or formal requirements, but also by the constructive logic of Gothic vaulting system

Metodología para maximizar la rentabilidad de una terminal marítima de contenedores a través de la optimización de su grado de automatización

Son generalmente aceptadas las tendencias actuales de maximización de la automatización para la adaptación de las terminales marítimas de contenedores a las cada vez mayores exigencias competitivas del negocio de transporte de contenedores. En esta investigación, se somete a consideración dichas tendencias a través de un análisis que tenga en cuenta la realidad global de la terminal pero también su propia realidad local que le permita aprovechar sus fortalezas y minimizar sus debilidades en un mercado continuamente en crecimiento y cambio. Para lo cual se ha desarrollado un modelo de análisis en el que se tengan en cuenta los parámetros técnicos, operativos, económicos y financieros que influyen en el diseño de una terminal marítima de contenedores, desde su concepción como ente dependiente para generar negocio, todos ellos dentro de un perímetro definido por el mercado del tráfico de contenedores así como las limitaciones físicas introducidas por la propia terminal. Para la obtención de dicho modelo ha sido necesario llevar a cabo un proceso de estudio del contexto actual del tráfico de contenedores y su relación con el diseño de las terminales marítimas, así como de las metodologías propuestas hasta ahora por los diferentes autores para abordar el proceso de dimensionamiento y diseño de la terminal. Una vez definido el modelo que ha de servir de base para el diseño de una terminal marítima de contenedores desde un planteamiento multicriterio, se analiza la influencia de las diversas variables explicativas de dicho modelo y se cuantifica su impacto en los resultados económicos, financieros y operativos de la terminal. Un paso siguiente consiste en definir un modelo simplificado que vincule la rentabilidad de una concesión de terminal con el tráfico esperado en función del grado de automatización y del tipo de terminal. Esta investigación es el fruto del objetivo ambicioso de aportar una metodología que defina la opción óptima de diseño de una terminal marítima de contenedores apoyada en los pilares de la optimización del grado de automatización y de la maximización de la rentabilidad del negocio que en ella se desarrolla. It is generally accepted current trends in automation to maximize the adaptation of maritime container terminals to the growing competitive demands of the business of container shipping. In this research, is submitted to these trends through an analysis taking into account the global reality of the terminal but also their own local reality it could exploit its strengths and minimize their weaknesses in a market continuously growing and changing. For which we have developed a model analysis that takes into account the technical, operational, financial and economic influence in the design of a container shipping terminal, from its conception as being dependent to generate business, all within a perimeter defined by the market of container traffic and the physical constraints introduced by the terminal. To obtain this model has been necessary to conduct a study process in the current context of container traffic and its relation to the design of marine terminals, as well as the methodologies proposed so far by different authors to address the process sizing and design of the terminal. Having defined the model that will serve as the basis for the design for a container shipping terminal from a multi-criteria approach, we analyze the influence of various explanatory variables of the model and quantify their impact on economic performance, financial and operational of the terminal. A next step is to define a simplified model that links the profitability of a terminal concession with traffic expected on the basis of the degree of automation and the kind of terminal. This research is the result of the ambitious target of providing a methodology to define the optimal choice of designing a container shipping terminal on the pillars of automation optimizing and maximizing the profitability of the business that it develops.

A Case Study of Geometric Modelling via 3-D Point Interpolation for the Bathymetry of the Rabasa Lakes (Alicante, Spain)

The interpolation of points by means of Information Technology programs appears as a technical tool of some relevancy in the hydrogeology in general and in the study of the humid zones in particular. Our approach has been the determination of the 3-D geometry of the humid zones of major depth of the Rabasa Lakes. To estimate the topography of the lake bed, we proceed to acquire information in the field by means of sonar and GPS equipment. A total of 335 points were measured both on the perimeter and in the lake bed. In a second stage, this information was used in a kriging program to obtain the bathymetry of the wetland. This methodology is demonstrated as one of the most reliable and cost-efficient for the 3-D analysis of this type of water masses. The bathymetric study of the zone allows us to characterize the mid- and long-term hydrological evolution of the lakes by means of depth-area-volume curves.

Interference of parallel cylindrical Langmuir probes

Current to a cylindrical probe of arbitrary cross section is discussed. Previous results for circular cylinders at the high bias and moderate radius R of interest for electrodynamic bare tethers, for which space charge may be ignored over a large neighborhood of the probe, depend in separate ways on both R and perimeter p. These results are extended to a general convex cross section by introducing certain equivalent radius Req. For any concave cross section, results use a proper equivalent perimeter peq , in addition to Req. Finally, for the joint cross section of separate parallel probes, certain effective perimeter peff replaces peq. Rules to determine Req. peq. and peff are used to discuss collection interference among two or more parallel cylinders when brought from far away to contact

Mapa de susceptibilidad a la caída de bloques en la sierra de la Cabrera (Madrid)

El objetivo de este proyecto es el estudio y creación de un mapa de susceptibilidad al alcance por caída de bloques en la Sierra de la Cabrera, provincia de Madrid. Por lo cual se ha realizado, primero, un reconocimiento de campo in situ y, a continuación, un estudio morfométrico del área, empleando sistemas de información geográfica (ArcGIS), así como un análisis cualitativo de las características estructurales de las discontinuidades seleccionando aquellas más determinantes para favorecer el desprendimiento de un bloque rocoso y aportar la información suficiente que permita evaluar la susceptibilidad. El análisis se ha llevado a cabo partiendo de los datos estructurales obtenidos en campo y cotejados con los realizados en otros trabajos. Así se han podido delimitar distintas áreas fuente, donde se puede producir el desprendimiento, y el perímetro de alcance a través de un modelo geométrico. A partir de este modelo, se determinarán las zonas de posible afección, generando una cartografía de susceptibilidad para el área de estudio. ABSTRACT The aim of this project is to study and create a susceptibility map of rockfalling reach in the Sierra de la Cabrera, Madrid. To achieve this goal it is been made, firstly, a field trip and, then, a morphometric study of the area, using geographic information systems (ArcGIS), and also a qualitative analysis of the structural characteristics of the discontinuities choosing those decisives contributing to the rock block’s detach and to provide enough information to evaluate the susceptibility. The analysis is been carried out using structural data got on field and from other studies. In this way, there have been defined different source areas, where rockfalling can occur, and a reaching perimeter using a geometric model. For this model, affected areas can be established and a susceptibility map can be created for the studied area.

Optical systems design using the SMS method and optimizations

Resumen El diseño de sistemas ópticos, entendido como un arte por algunos, como una ciencia por otros, se ha realizado durante siglos. Desde los egipcios hasta nuestros días los sistemas de formación de imagen han ido evolucionando así como las técnicas de diseño asociadas. Sin embargo ha sido en los últimos 50 años cuando las técnicas de diseño han experimentado su mayor desarrollo y evolución, debido, en parte, a la aparición de nuevas técnicas de fabricación y al desarrollo de ordenadores cada vez más potentes que han permitido el cálculo y análisis del trazado de rayos a través de los sistemas ópticos de forma rápida y eficiente. Esto ha propiciado que el diseño de sistemas ópticos evolucione desde los diseños desarrollados únicamente a partir de la óptica paraxial hasta lo modernos diseños realizados mediante la utilización de diferentes técnicas de optimización multiparamétrica. El principal problema con el que se encuentra el diseñador es que las diferentes técnicas de optimización necesitan partir de un diseño inicial el cual puede fijar las posibles soluciones. Dicho de otra forma, si el punto de inicio está lejos del mínimo global, o diseño óptimo para las condiciones establecidas, el diseño final puede ser un mínimo local cerca del punto de inicio y lejos del mínimo global. Este tipo de problemática ha llevado al desarrollo de sistemas globales de optimización que cada vez sean menos sensibles al punto de inicio de la optimización. Aunque si bien es cierto que es posible obtener buenos diseños a partir de este tipo de técnicas, se requiere de muchos intentos hasta llegar a la solución deseada, habiendo un entorno de incertidumbre durante todo el proceso, puesto que no está asegurado el que se llegue a la solución óptima. El método de las Superficies Múltiples Simultaneas (SMS), que nació como una herramienta de cálculo de concentradores anidólicos, se ha demostrado como una herramienta también capaz utilizarse para el diseño de sistemas ópticos formadores de imagen, aunque hasta la fecha se ha utilizado para el diseño puntual de sistemas de formación de imagen. Esta tesis tiene por objeto presentar el SMS como un método que puede ser utilizado de forma general para el diseño de cualquier sistema óptico de focal fija o v afocal con un aumento definido así como una herramienta que puede industrializarse para ayudar al diseñador a afrontar de forma sencilla el diseño de sistemas ópticos complejos. Esta tesis está estructurada en cinco capítulos: El capítulo 1, es un capítulo de fundamentos donde se presentan los conceptos fundamentales necesarios para que el lector, aunque no posea una gran base en óptica formadora de imagen, pueda entender los planteamientos y resultados que se presentan en el resto de capítulos El capitulo 2 aborda el problema de la optimización de sistemas ópticos, donde se presenta el método SMS como una herramienta idónea para obtener un punto de partida para el proceso de optimización. Mediante un ejemplo aplicado se demuestra la importancia del punto de partida utilizado en la solución final encontrada. Además en este capítulo se presentan diferentes técnicas que permiten la interpolación y optimización de las superficies obtenidas a partir de la aplicación del SMS. Aunque en esta tesis se trabajará únicamente utilizando el SMS2D, se presenta además un método para la interpolación y optimización de las nubes de puntos obtenidas a partir del SMS3D basado en funciones de base radial (RBF). En el capítulo 3 se presenta el diseño, fabricación y medidas de un objetivo catadióptrico panorámico diseñado para trabajar en la banda del infrarrojo lejano (8-12 μm) para aplicaciones de vigilancia perimetral. El objetivo presentado se diseña utilizando el método SMS para tres frentes de onda de entrada utilizando cuatro superficies. La potencia del método de diseño utilizado se hace evidente en la sencillez con la que este complejo sistema se diseña. Las imágenes presentadas demuestran cómo el prototipo desarrollado cumple a la perfección su propósito. El capítulo 4 aborda el problema del diseño de sistemas ópticos ultra compactos, se introduce el concepto de sistemas multicanal, como aquellos sistemas ópticos compuestos por una serie de canales que trabajan en paralelo. Este tipo de sistemas resultan particularmente idóneos para él diseño de sistemas afocales. Se presentan estrategias de diseño para sistemas multicanal tanto monocromáticos como policromáticos. Utilizando la novedosa técnica de diseño que en este capítulo se presenta el diseño de un telescopio de seis aumentos y medio. En el capítulo 5 se presenta una generalización del método SMS para rayos meridianos. En este capítulo se presenta el algoritmo que debe utilizarse para el diseño de cualquier sistema óptico de focal fija. La denominada optimización fase 1 se vi introduce en el algoritmo presentado de forma que mediante el cambio de las condiciones iníciales del diseño SMS que, aunque el diseño se realice para rayos meridianos, los rayos skew tengan un comportamiento similar. Para probar la potencia del algoritmo desarrollado se presenta un conjunto de diseños con diferente número de superficies. La estabilidad y potencia del algoritmo se hace evidente al conseguirse por primera vez el diseño de un sistema de seis superficies diseñado por SMS. vii Abstract The design of optical systems, considered an art by some and a science by others, has been developed for centuries. Imaging optical systems have been evolving since Ancient Egyptian times, as have design techniques. Nevertheless, the most important developments in design techniques have taken place over the past 50 years, in part due to the advances in manufacturing techniques and the development of increasingly powerful computers, which have enabled the fast and efficient calculation and analysis of ray tracing through optical systems. This has led to the design of optical systems evolving from designs developed solely from paraxial optics to modern designs created by using different multiparametric optimization techniques. The main problem the designer faces is that the different optimization techniques require an initial design which can set possible solutions as a starting point. In other words, if the starting point is far from the global minimum or optimal design for the set conditions, the final design may be a local minimum close to the starting point and far from the global minimum. This type of problem has led to the development of global optimization systems which are increasingly less sensitive to the starting point of the optimization process. Even though it is possible to obtain good designs from these types of techniques, many attempts are necessary to reach the desired solution. This is because of the uncertain environment due to the fact that there is no guarantee that the optimal solution will be obtained. The Simultaneous Multiple Surfaces (SMS) method, designed as a tool to calculate anidolic concentrators, has also proved useful for the design of image-forming optical systems, although until now it has occasionally been used for the design of imaging systems. This thesis aims to present the SMS method as a technique that can be used in general for the design of any optical system, whether with a fixed focal or an afocal with a defined magnification, and also as a tool that can be commercialized to help designers in the design of complex optical systems. The thesis is divided into five chapters. Chapter 1 establishes the basics by presenting the fundamental concepts which the reader needs to acquire, even if he/she doesn‟t have extensive knowledge in the field viii of image-forming optics, in order to understand the steps taken and the results obtained in the following chapters. Chapter 2 addresses the problem of optimizing optical systems. Here the SMS method is presented as an ideal tool to obtain a starting point for the optimization process. The importance of the starting point for the final solution is demonstrated through an example. Additionally, this chapter introduces various techniques for the interpolation and optimization of the surfaces obtained through the application of the SMS method. Even though in this thesis only the SMS2D method is used, we present a method for the interpolation and optimization of clouds of points obtained though the SMS3D method, based on radial basis functions (RBF). Chapter 3 presents the design, manufacturing and measurement processes of a catadioptric panoramic lens designed to work in the Long Wavelength Infrared (LWIR) (8-12 microns) for perimeter surveillance applications. The lens presented is designed by using the SMS method for three input wavefronts using four surfaces. The powerfulness of the design method used is revealed through the ease with which this complex system is designed. The images presented show how the prototype perfectly fulfills its purpose. Chapter 4 addresses the problem of designing ultra-compact optical systems. The concept of multi-channel systems, such as optical systems composed of a series of channels that work in parallel, is introduced. Such systems are especially suitable for the design of afocal systems. We present design strategies for multichannel systems, both monochromatic and polychromatic. A telescope designed with a magnification of six-and-a-half through the innovative technique exposed in this chapter is presented. Chapter 5 presents a generalization of the SMS method for meridian rays. The algorithm to be used for the design of any fixed focal optics is revealed. The optimization known as phase 1 optimization is inserted into the algorithm so that, by changing the initial conditions of the SMS design, the skew rays have a similar behavior, despite the design being carried out for meridian rays. To test the power of the developed algorithm, a set of designs with a different number of surfaces is presented. The stability and strength of the algorithm become apparent when the first design of a system with six surfaces if obtained through the SMS method.

Implantación de un sistema de seguridad perimetral

Este proyecto está desarrollado sobre la seguridad de redes, y más concretamente en la seguridad perimetral. Para mostrar esto se hará una definición teórico-práctica de un sistema de seguridad perimetral. Para ello se ha desglosado el contenido en dos partes fundamentales, la primera incide en la base teórica relativa a la seguridad perimetral y los elementos más importantes que intervienen en ella, y la segunda parte, que es la implantación de un sistema de seguridad perimetral habitual en un entorno empresarial. En la primera parte se exponen los elementos más importantes de la seguridad perimetral, incidiendo en elementos como pueden ser cortafuegos, IDS/IPS, antivirus, proxies, radius, gestores de ancho de banda, etc. Sobre cada uno de ellos se explica su funcionamiento y posible configuración. La segunda parte y más extensa a la vez que práctica, comprende todo el diseño, implantación y gestión de un sistema de seguridad perimetral típico, es decir, el que sería de aplicación para la mayoría de las empresas actuales. En esta segunda parte se encontrarán primeramente las necesidades del cliente y situación actual en lo que a seguridad se refiere, con los cuales se diseñará la arquitectura de red. Para comenzar será necesario definir formalmente unos requisitos previos, para satisfacer estos requisitos se diseñará el mapa de red con los elementos específicos seleccionados. La elección de estos elementos se hará en base a un estudio de mercado para escoger las mejores soluciones de cada fabricante y que más se adecúen a los requisitos del cliente. Una vez ejecutada la implementación, se diseñará un plan de pruebas, realizando las pruebas de casos de uso de los diferentes elementos de seguridad para asegurar su correcto funcionamiento. El siguiente paso, una vez verificado que todos los elementos funcionan de forma correcta, será diseñar un plan de gestión de la plataforma, en el que se detallan las rutinas a seguir en cada elemento para conseguir que su funcionamiento sea óptimo y eficiente. A continuación se diseña una metodología de gestión, en las que se indican los procedimientos de actuación frente a determinadas incidencias de seguridad, como pueden ser fallos en elementos de red, detección de vulnerabilidades, detección de ataques, cambios en políticas de seguridad, etc. Finalmente se detallarán las conclusiones que se obtienen de la realización del presente proyecto. ABSTRACT. This project is based on network security, specifically on security perimeter. To show this, a theoretical and practical definition of a perimeter security system will be done. This content has been broken down into two main parts. The first part is about the theoretical basis on perimeter security and the most important elements that it involves, and the second part is the implementation of a common perimeter security system in a business environment. The first part presents the most important elements of perimeter security, focusing on elements such as firewalls, IDS / IPS, antivirus, proxies, radius, bandwidth managers, etc... The operation and possible configuration of each one will be explained. The second part is larger and more practical. It includes all the design, implementation and management of a typical perimeter security system which could be applied in most businesses nowadays. The current status as far as security is concerned, and the customer needs will be found in this second part. With this information the network architecture will be designed. In the first place, it would be necessary to define formally a prerequisite. To satisfy these requirements the network map will be designed with the specific elements selected. The selection of these elements will be based on a market research to choose the best solutions for each manufacturer and are most suited to customer requirements. After running the implementation, a test plan will be designed by testing each one of the different uses of all the security elements to ensure the correct operation. In the next phase, once the proper work of all the elements has been verified, a management plan platform will be designed. It will contain the details of the routines to follow in each item to make them work optimally and efficiently. Then, a management methodology will be designed, which provides the procedures for action against certain security issues, such as network elements failures, exploit detection, attack detection, security policy changes, etc.. Finally, the conclusions obtained from the implementation of this project will be detailed.

A new similarity function for generalized trapezoidal fuzzy numbers

Numerous authors have proposed functions to quantify the degree of similarity between two fuzzy numbers using various descriptive parameters, such as the geometric distance, the distance between the centers of gravity or the perimeter. However, these similarity functions have drawback for specific situations. We propose a new similarity measure for generalized trapezoidal fuzzy numbers aimed at overcoming such drawbacks. This new measure accounts for the distance between the centers of gravity and the geometric distance but also incorporates a new term based on the shared area between the fuzzy numbers. The proposed measure is compared against other measures in the literature.

Survival probability of round and tape tethers against debris impact

The current space environment, consisting of manmade debris and micrometeoroids, poses a risk to safe operations in space, and the situation is continuously deteriorating due to in-orbit debris collisions and to new satellite launches. Bare electrodynamic tethers can provide an efficient mechanism for rapid deorbiting of satellites from low Earth orbit at end of life. Because of its particular geometry (length very much larger than cross-sectional dimensions), a tether may have a relatively high risk of being severed by the single impact of small debris. The rates of fatal impact of orbital debris on round and tape tethers of equal length and mass, evaluated with an analytical approximation to debris flux modeled by NASA’s ORDEM2000, shows much higher survival probability for tapes. A comparative numerical analysis using debris flux model ORDEM2000 and ESA’s MASTER2005 validates the analytical result and shows that, for a given time in orbit, a tape has a probability of survival of about one and a half orders of magnitude higher than a round tether of equal mass and length. Because deorbiting from a given altitude is much faster for the tape due to its larger perimeter, its probability of survival in a practical sense is quite high.

Surface velocity and ice discharge of the ice cap on King George Island, Antarctica

Glaciers on King George Island, Antarctica, have shown retreat and surface lowering in recent decades, concurrent with increasing air temperatures. A large portion of the glacier perimeter is ocean-terminating, suggesting possible large mass losses due to calving and submarine melting. Here we estimate the ice discharge into the ocean for the King George Island ice cap. L-band synthetic aperture radar images covering the time-span January 2008 to January 2011 over King George Island are processed using an intensity-tracking algorithm to obtain surface velocity measurements. Pixel offsets from 40 pairs of radar images are analysed and inverted to estimate a weighted average surface velocity field. Ice thicknesses are derived from simple principles of ice flow mechanics using the computed surface velocity fields and in situ thickness data. The maximum ice surface speeds reach mayor que 225 m/yr, and the total ice discharge for the analysed flux gates of King George Island is estimated to be 0.720+/-0.428 Gt/yr, corresponding to a specific mass loss of 0.64+/-0.38 m w.e./yr over the area of the entire ice cap (1127 km2).

Conductive-tether design for de-orbiting from given altitude and inclination

A bare tether with thin-tape cross section is both i) the most effective electrodinamic tether for given length and mass, and ii) capable of effective design for an arbitrary mission through its three disparate dimensions. It handily beats the fully insulated tether that exchanges current at both ends, a result resting in advantages of 2D current collection as against 3D collection; it has much greater perimeter than the round bare tether and much lower fatal debris-impact rate, leading to greatly faster de-orbiting and greatly higher probability of survival; and it only allows multi-line tethers reaching a few hundred lines to stand competitive. In selecting the disparate values of length L, width w, and thickness h for a de-orbit mission, performance involves three criteria: a) tether-tospacecraft mass ratio must be small; b) probability of survival against the debris environment must be high; and c) de-orbiting must be fast to reduce manoeuvres for avoiding catastrophic collisions with big active/passive satellites around. Beyond determining tether mass through the product Lwh, main dimension parameters affecting performance are L/h2li characterizing ohmic effects, and w determining electron collection. An algorithm for optimal selection of tape dimensions is elaborated.

Collection effects on close pararell bare tethers

We review previously published results, and present new results, on the way current to a cylindrical probe drops below the orbital-motion-limited (OML) value for probe cross-sections too large or concave. Results on size and shape effects arise from unrelated behavior in the near and far potential field, and apply to a general cross-section, which can be characterised by radius Req and perimeter peij of equivalent circles. These results are used to discuss collection interference among two or more parallel bare tethers when brought from far away to contact.