Advances in the Simultaneous Multiple Surface optical design method for imaging and non-imaging applications

Classical imaging optics has been developed over centuries in many areas, such as its paraxial imaging theory and practical design methods like multi-parametric optimization techniques. Although these imaging optical design methods can provide elegant solutions to many traditional optical problems, there are more and more new design problems, like solar concentrator, illumination system, ultra-compact camera, etc., that require maximum energy transfer efficiency, or ultra-compact optical structure. These problems do not have simple solutions from classical imaging design methods, because not only paraxial rays, but also non-paraxial rays should be well considered in the design process. Non-imaging optics is a newly developed optical discipline, which does not aim to form images, but to maximize energy transfer efficiency. One important concept developed from non-imaging optics is the “edge-ray principle”, which states that the energy flow contained in a bundle of rays will be transferred to the target, if all its edge rays are transferred to the target. Based on that concept, many CPC solar concentrators have been developed with efficiency close to the thermodynamic limit. When more than one bundle of edge-rays needs to be considered in the design, one way to obtain solutions is to use SMS method. SMS stands for Simultaneous Multiple Surface, which means several optical surfaces are constructed simultaneously. The SMS method was developed as a design method in Non-imaging optics during the 90s. The method can be considered as an extension to the Cartesian Oval calculation. In the traditional Cartesian Oval calculation, one optical surface is built to transform an input wave-front to an out-put wave-front. The SMS method however, is dedicated to solve more than 1 wave-fronts transformation problem. In the beginning, only 2 input wave-fronts and 2 output wave-fronts transformation problem was considered in the SMS design process for rotational optical systems or free-form optical systems. Usually “SMS 2D” method stands for the SMS procedure developed for rotational optical system, and “SMS 3D” method for the procedure for free-form optical system. Although the SMS method was originally employed in non-imaging optical system designs, it has been found during this thesis that with the improved capability to design more surfaces and control more input and output wave-fronts, the SMS method can also be applied to imaging system designs and possesses great advantage over traditional design methods. In this thesis, one of the main goals to achieve is to further develop the existing SMS-2D method to design with more surfaces and improve the stability of the SMS-2D and SMS-3D algorithms, so that further optimization process can be combined with SMS algorithms. The benefits of SMS plus optimization strategy over traditional optimization strategy will be explained in details for both rotational and free-form imaging optical system designs. Another main goal is to develop novel design concepts and methods suitable for challenging non-imaging applications, e.g. solar concentrator and solar tracker. This thesis comprises 9 chapters and can be grouped into two parts: the first part (chapter 2-5) contains research works in the imaging field, and the second part (chapter 6-8) contains works in the non-imaging field. In the first chapter, an introduction to basic imaging and non-imaging design concepts and theories is given. Chapter 2 presents a basic SMS-2D imaging design procedure using meridian rays. In this chapter, we will set the imaging design problem from the SMS point of view, and try to solve the problem numerically. The stability of this SMS-2D design procedure will also be discussed. The design concepts and procedures developed in this chapter lay the path for further improvement. Chapter 3 presents two improved SMS 3 surfaces’ design procedures using meridian rays (SMS-3M) and skew rays (SMS-1M2S) respectively. The major improvement has been made to the central segments selections, so that the whole SMS procedures become more stable compared to procedures described in Chapter 2. Since these two algorithms represent two types of phase space sampling, their image forming capabilities are compared in a simple objective design. Chapter 4 deals with an ultra-compact SWIR camera design with the SMS-3M method. The difficulties in this wide band camera design is how to maintain high image quality meanwhile reduce the overall system length. This interesting camera design provides a playground for the classical design method and SMS design methods. We will show designs and optical performance from both classical design method and the SMS design method. Tolerance study is also given as the end of the chapter. Chapter 5 develops a two-stage SMS-3D based optimization strategy for a 2 freeform mirrors imaging system. In the first optimization phase, the SMS-3D method is integrated into the optimization process to construct the two mirrors in an accurate way, drastically reducing the unknown parameters to only few system configuration parameters. In the second optimization phase, previous optimized mirrors are parameterized into Qbfs type polynomials and set up in code V. Code V optimization results demonstrates the effectiveness of this design strategy in this 2-mirror system design. Chapter 6 shows an etendue-squeezing condenser optics, which were prepared for the 2010 IODC illumination contest. This interesting design employs many non-imaging techniques such as the SMS method, etendue-squeezing tessellation, and groove surface design. This device has theoretical efficiency limit as high as 91.9%. Chapter 7 presents a freeform mirror-type solar concentrator with uniform irradiance on the solar cell. Traditional parabolic mirror concentrator has many drawbacks like hot-pot irradiance on the center of the cell, insufficient use of active cell area due to its rotational irradiance pattern and small acceptance angle. In order to conquer these limitations, a novel irradiance homogenization concept is developed, which lead to a free-form mirror design. Simulation results show that the free-form mirror reflector has rectangular irradiance pattern, uniform irradiance distribution and large acceptance angle, which confirm the viability of the design concept. Chapter 8 presents a novel beam-steering array optics design strategy. The goal of the design is to track large angle parallel rays by only moving optical arrays laterally, and convert it to small angle parallel output rays. The design concept is developed as an extended SMS method. Potential applications of this beam-steering device are: skylights to provide steerable natural illumination, building integrated CPV systems, and steerable LED illumination. Conclusion and future lines of work are given in Chapter 9. Resumen La óptica de formación de imagen clásica se ha ido desarrollando durante siglos, dando lugar tanto a la teoría de óptica paraxial y los métodos de diseño prácticos como a técnicas de optimización multiparamétricas. Aunque estos métodos de diseño óptico para formación de imagen puede aportar soluciones elegantes a muchos problemas convencionales, siguen apareciendo nuevos problemas de diseño óptico, concentradores solares, sistemas de iluminación, cámaras ultracompactas, etc. que requieren máxima transferencia de energía o dimensiones ultracompactas. Este tipo de problemas no se pueden resolver fácilmente con métodos clásicos de diseño porque durante el proceso de diseño no solamente se deben considerar los rayos paraxiales sino también los rayos no paraxiales. La óptica anidólica o no formadora de imagen es una disciplina que ha evolucionado en gran medida recientemente. Su objetivo no es formar imagen, es maximazar la eficiencia de transferencia de energía. Un concepto importante de la óptica anidólica son los “rayos marginales”, que se pueden utilizar para el diseño de sistemas ya que si todos los rayos marginales llegan a nuestra área del receptor, todos los rayos interiores también llegarán al receptor. Haciendo uso de este principio, se han diseñado muchos concentradores solares que funcionan cerca del límite teórico que marca la termodinámica. Cuando consideramos más de un haz de rayos marginales en nuestro diseño, una posible solución es usar el método SMS (Simultaneous Multiple Surface), el cuál diseña simultáneamente varias superficies ópticas. El SMS nació como un método de diseño para óptica anidólica durante los años 90. El método puede ser considerado como una extensión del cálculo del óvalo cartesiano. En el método del óvalo cartesiano convencional, se calcula una superficie para transformar un frente de onda entrante a otro frente de onda saliente. El método SMS permite transformar varios frentes de onda de entrada en frentes de onda de salida. Inicialmente, sólo era posible transformar dos frentes de onda con dos superficies con simetría de rotación y sin simetría de rotación, pero esta limitación ha sido superada recientemente. Nos referimos a “SMS 2D” como el método orientado a construir superficies con simetría de rotación y llamamos “SMS 3D” al método para construir superficies sin simetría de rotación o free-form. Aunque el método originalmente fue aplicado en el diseño de sistemas anidólicos, se ha observado que gracias a su capacidad para diseñar más superficies y controlar más frentes de onda de entrada y de salida, el SMS también es posible aplicarlo a sistemas de formación de imagen proporcionando una gran ventaja sobre los métodos de diseño tradicionales. Uno de los principales objetivos de la presente tesis es extender el método SMS-2D para permitir el diseño de sistemas con mayor número de superficies y mejorar la estabilidad de los algoritmos del SMS-2D y SMS-3D, haciendo posible combinar la optimización con los algoritmos. Los beneficios de combinar SMS y optimización comparado con el proceso de optimización tradicional se explican en detalle para sistemas con simetría de rotación y sin simetría de rotación. Otro objetivo importante de la tesis es el desarrollo de nuevos conceptos de diseño y nuevos métodos en el área de la concentración solar fotovoltaica. La tesis está estructurada en 9 capítulos que están agrupados en dos partes: la primera de ellas (capítulos 2-5) se centra en la óptica formadora de imagen mientras que en la segunda parte (capítulos 6-8) se presenta el trabajo del área de la óptica anidólica. El primer capítulo consta de una breve introducción de los conceptos básicos de la óptica anidólica y la óptica en formación de imagen. El capítulo 2 describe un proceso de diseño SMS-2D sencillo basado en los rayos meridianos. En este capítulo se presenta el problema de diseñar un sistema formador de imagen desde el punto de vista del SMS y se intenta obtener una solución de manera numérica. La estabilidad de este proceso se analiza con detalle. Los conceptos de diseño y los algoritmos desarrollados en este capítulo sientan la base sobre la cual se realizarán mejoras. El capítulo 3 presenta dos procedimientos para el diseño de un sistema con 3 superficies SMS, el primero basado en rayos meridianos (SMS-3M) y el segundo basado en rayos oblicuos (SMS-1M2S). La mejora más destacable recae en la selección de los segmentos centrales, que hacen más estable todo el proceso de diseño comparado con el presentado en el capítulo 2. Estos dos algoritmos representan dos tipos de muestreo del espacio de fases, su capacidad para formar imagen se compara diseñando un objetivo simple con cada uno de ellos. En el capítulo 4 se presenta un diseño ultra-compacto de una cámara SWIR diseñada usando el método SMS-3M. La dificultad del diseño de esta cámara de espectro ancho radica en mantener una alta calidad de imagen y al mismo tiempo reducir drásticamente sus dimensiones. Esta cámara es muy interesante para comparar el método de diseño clásico y el método de SMS. En este capítulo se presentan ambos diseños y se analizan sus características ópticas. En el capítulo 5 se describe la estrategia de optimización basada en el método SMS-3D. El método SMS-3D calcula las superficies ópticas de manera precisa, dejando sólo unos pocos parámetros libres para decidir la configuración del sistema. Modificando el valor de estos parámetros se genera cada vez mediante SMS-3D un sistema completo diferente. La optimización se lleva a cabo variando los mencionados parámetros y analizando el sistema generado. Los resultados muestran que esta estrategia de diseño es muy eficaz y eficiente para un sistema formado por dos espejos. En el capítulo 6 se describe un sistema de compresión de la Etendue, que fue presentado en el concurso de iluminación del IODC en 2010. Este interesante diseño hace uso de técnicas propias de la óptica anidólica, como el método SMS, el teselado de las lentes y el diseño mediante grooves. Este dispositivo tiene un límite teórica en la eficiencia del 91.9%. El capítulo 7 presenta un concentrador solar basado en un espejo free-form con irradiancia uniforme sobre la célula. Los concentradores parabólicos tienen numerosas desventajas como los puntos calientes en la zona central de la célula, uso no eficiente del área de la célula al ser ésta cuadrada y además tienen ángulos de aceptancia de reducido. Para poder superar estas limitaciones se propone un novedoso concepto de homogeneización de la irrandancia que se materializa en un diseño con espejo free-form. El análisis mediante simulación demuestra que la irradiancia es homogénea en una región rectangular y con mayor ángulo de aceptancia, lo que confirma la viabilidad del concepto de diseño. En el capítulo 8 se presenta un novedoso concepto para el diseño de sistemas afocales dinámicos. El objetivo del diseño es realizar un sistema cuyo haz de rayos de entrada pueda llegar con ángulos entre ±45º mientras que el haz de rayos a la salida sea siempre perpendicular al sistema, variando únicamente la posición de los elementos ópticos lateralmente. Las aplicaciones potenciales de este dispositivo son varias: tragaluces que proporcionan iluminación natural, sistemas de concentración fotovoltaica integrados en los edificios o iluminación direccionable con LEDs. Finalmente, el último capítulo contiene las conclusiones y las líneas de investigación futura.

An evolutionary algorithm for the surface structure problem

Many macroscopic properties: hardness, corrosion, catalytic activity, etc. are directly related to the surface structure, that is, to the position and chemical identity of the outermost atoms of the material. Current experimental techniques for its determination produce a “signature” from which the structure must be inferred by solving an inverse problem: a solution is proposed, its corresponding signature computed and then compared to the experiment. This is a challenging optimization problem where the search space and the number of local minima grows exponentially with the number of atoms, hence its solution cannot be achieved for arbitrarily large structures. Nowadays, it is solved by using a mixture of human knowledge and local search techniques: an expert proposes a solution that is refined using a local minimizer. If the outcome does not fit the experiment, a new solution must be proposed again. Solving a small surface can take from days to weeks of this trial and error method. Here we describe our ongoing work in its solution. We use an hybrid algorithm that mixes evolutionary techniques with trusted region methods and reuses knowledge gained during the execution to avoid repeated search of structures. Its parallelization produces good results even when not requiring the gathering of the full population, hence it can be used in loosely coupled environments such as grids. With this algorithm, the solution of test cases that previously took weeks of expert time can be automatically solved in a day or two of uniprocessor time.

Phase transitions in number theory: from the birthday problem to Sidon sets

In this work, we show how number theoretical problems can be fruitfully approached with the tools of statistical physics. We focus on g-Sidon sets, which describe sequences of integers whose pairwise sums are different, and propose a random decision problem which addresses the probability of a random set of k integers to be g-Sidon. First, we provide numerical evidence showing that there is a crossover between satisfiable and unsatisfiable phases which converts to an abrupt phase transition in a properly defined thermodynamic limit. Initially assuming independence, we then develop a mean-field theory for the g-Sidon decision problem. We further improve the mean-field theory, which is only qualitatively correct, by incorporating deviations from independence, yielding results in good quantitative agreement with the numerics for both finite systems and in the thermodynamic limit. Connections between the generalized birthday problem in probability theory, the number theory of Sidon sets and the properties of q-Potts models in condensed matter physics are briefly discussed

An inverse optimization strategy to determine single crystal mechanical behavior from polycrystal tests: Application to AZ31 Mg alloy

An inverse optimization strategy was developed to determine the single crystal properties from experimental results of the mechanical behavior of polycrystals. The polycrystal behavior was obtained by means of the finite element simulation of a representative volume element of the microstructure in which the dominant slip and twinning systems were included in the constitutive equation of each grain. The inverse problem was solved by means of the Levenberg-Marquardt method, which provided an excellent fit to the experimental results. The iterative optimization process followed a hierarchical scheme in which simple representative volume elements were initially used, followed by more realistic ones to reach the final optimum solution, leading to important reductions in computer time. The new strategy was applied to identify the initial and saturation critical resolved shear stresses and the hardening modulus of the active slip systems and extension twinning in a textured AZ31 Mg alloy. The results were in general agreement with the data in the literature but also showed some differences. They were partially explained because of the higher accuracy of the new optimization strategy but it was also shown that the number of independent experimental stress-strain curves used as input is critical to reach an accurate solution to the inverse optimization problem. It was concluded that at least three independent stress-strain curves are necessary to determine the single crystal behavior from polycrystal tests in the case of highly textured Mg alloys.

Considering cycling for commuting : the role of mode familiarity : an exploration on the (circular) relation between cycling behaviours and attitudes toward cycling in Vitoria-Gasteiz, Spain

¿La gente utiliza la bicicleta porque les gusta? ¿O es el propio hecho de usarla la razón por la que les gusta hacerlo? ¿O es una combinación de las dos? Este tipo de preguntas reflejan un problema que se puede llamar ‘el círculo de la consideración de la bicicleta’: para poder considerar el uso de la bicicleta en el conjunto de posibles opciones a escoger, un individuo tiene que tener creencias positivas sobre ella, sobre todo en el caso de ‘contextos de bajo uso’. Pero parece poco probable que se formen creencias positivas cuando hay bajos niveles de familiaridad al modo, es decir, con un bajo conocimiento de sus características, su funcionamiento y del imaginario asociado; al mismo tiempo, la familiaridad irá alcanzando niveles más altos conforme aumente el tiempo y la intensidad con la que se utilice la bicicleta a lo largo de la vida de los individuos. El problema parece un circulo recursivo huevo-gallina, ya que es difícil que alguien considere el usar la bicicleta en lugares donde su uso es una práctica poco extendida. En estos lugares, y dentro del conglomerado actual de tecnologías, infraestructuras, reglas, prácticas de los usuarios y preferencias culturales que se han desarrollado alrededor del automóvil (el actual "sistema socio-técnico de la movilidad urbana", Urry 2004; Geels 2005, 2012) usar la bicicleta es considerado por la mayoría como algo difícil, inseguro, y anormal. Como consecuencia, los procesos de aumento de familiaridad con la bicicleta permanecen inactivos. La tesis asume la familiaridad como una fuente de información e influencia sobre las creencias positivas sobre la bicicleta. En ‘contextos de bajo uso’, sin familiaridad al uso de la bicicleta, estas creencias sólo pueden surgir de ciertos rasgos personales (afecto, valores, identidades, voluntad, etc.). Tal como han evidenciado investigaciones recientes, en estos contextos la posibilidad de considerar el uso de la bicicleta (y su eventual adopción), se circunscribe principalmente a los ‘entusiastas’, a los que están dispuestos a “ir contra corriente” (Horton & Parkin 2012), limitando el alcance de las políticas de promoción. La investigación llevada a cabo en esta tesis ofrece un nuevo enfoque al problema del ‘círculo de la consideración de la bicicleta’. Para ello, plantea un modelo en el que se introduce a la familiaridad como un constructo que media entre el comportamiento final –qué modo de transporte elige el individuo– y el conjunto de constructos psicosociales que preceden la elección modal (creencias y actitudes). La familiaridad al uso de la bicicleta se concibe como una medida de la intensidad relativa del uso de una bicicleta, real y percibida (basándose en Diana & Mokhtarian 2009) que puede formarse de manera distinta según sus fines (utilitarios o no utilitarios). El constructo familiaridad con el modo bicicleta está relacionado con la cantidad de tiempo, la intensidad y la regularidad con la que un individuo ha hecho uso de la bicicleta a lo largo de su vida. La familiaridad se concibe así como una condición que permite definir adecuadamente el contexto en el que se toman las decisiones modales de los individuos, en línea con investigaciones que postulan patrones de causalidad alternativos entre los procesos cognitivos de elección y los comportamientos modales (Tardif 1977; Dobson et al. 1978; Golob et al. 1979; Golob 2001; Schwanen et al. 2012; Diana et al. 2009; Vij & Walker 2014). De este modo se plantea que el esquema unidireccional actitudesconductas podría no ser completamente valido en el caso de la consideración de la bicicleta, explorando la hipótesis que sean las propias conductas a influenciar la formación de las actitudes. En esta tesis, el constructo de familiaridad se articula teórica y metodológicamente, y se emplea un instrumento de diseño transversal para contrastarlo. Los resultados de una encuesta telefónica a una muestra representativa de 736 personas en la ciudad española de Vitoria-Gasteiz proveen evidencias que sugieren –aunque de forma preliminar– que la familiaridad juega un papel de mediadora en la relación entre la utilización de la bicicleta y la formación de las creencias y actitudes hacia el su uso. La tesis emplea mediciones para cada individuo con respecto tanto a su consideración como a su familiaridad al uso de la bicicleta. Éstas mediciones se definen haciendo uso del análisis factorial exploratorio (AFE). Por un lado, el AFE arroja una estructura del constructo ‘consideración’ formada por cuatro factores, tres de ellos asociados con elementos positivos y uno con elementos negativos: (1) de cómo el uso de la bicicleta se considera verde e inteligente (G&S); (2) sobre su carácter agradable y adecuado (P&S); (3) sobre su eficacia como modo de transporte para ir al trabajo (E); y (4) sobre los principales inconvenientes de su uso, es decir, las dificultades implícitas (sudoración y estar expuestos a las inclemencias del tiempo) y la sensación de inseguridad que genera (sentirse en riesgo de accidentes y estresarse por el tráfico) (D&T). Por otro lado, la familiaridad al uso de la bicicleta se mide en dos distintas variables ordinales (según se base en el uso utilitario o no utilitario). Como resultado, se puede hablar de que cada individuo se encuentra en una de las siguientes cuatro etapas en orden creciente hacia una familiaridad completa al modo: no familiarizados; apenas familiarizados; moderadamente familiarizados; totalmente familiarizados. El análisis de los datos de los cuatro grupos de sujetos de la muestra, –definidos de acuerdo con cada una de las cuatro etapas de familiaridad definidas– ha evidenciado la existencia de diferencias intergrupo estadísticamente significativas, especialmente para la medida relacionada con el uso utilitario. Asimismo, las personas en los niveles inferiores de familiaridad tienen una consideración menor de los aspectos positivos de la bicicleta y por el contrario presentan preocupaciones mayores hacia las características negativas respecto a aquellas personas que están más familiarizados en el uso utilitario. El uso, aunque esporádico, de una bicicleta para fines utilitarios (ir de compras, hacer recados, etc.), a diferencia de no usarla en absoluto, aparece asociado a unas puntuaciones significativamente más altas en los tres factores positivos (G&S, E, P&S), mientras que parece estar asociado a puntuaciones significativamente más bajas en el factor relacionado con las características negativas (D&U). Aparecen resultados similares cuando se compara un uso moderado, con uno esporádico, sobre todo con respecto a la consideración de las características negativas. Los resultados de esta tesis están en línea con la literatura anterior que se ha basado en variables similares (por ejemplo, de Geus et al. 2008; Stinson & Bhat 2003, 2004; Hunt & Abraham 2006; y van Bekkum et al. 2011a, entre otros), pero en este estudio las diferencias se observan en un contexto de bajo uso y se derivan de un análisis de toda la población de personas que se desplazan a su lugar de trabajo o estudio, lo cual eleva la fiabilidad de los resultados. La posibilidad de que unos niveles más altos de uso de la bicicleta para fines utilitarios puedan llevar a niveles más positivos de su consideración abre el camino a implicaciones teóricas y de políticas que se discuten en la tesis. Con estos resultados se argumenta que el enfoque convencional basado en el cambio de actitudes puede no ser el único y prioritario para lograr cambios a la hora de fomentar el uso de la bicicleta. Los resultados apuntan al potencial de otros esquemas de causalidad, basados en patrones de influencia más descentrados y distribuidos, y que adopten una mirada más positiva hacia los hábitos de transporte, conceptualizándolos como “inteligencia encarnada y pre-reflexiva” (Schwanen et al. 2012). Tales esquemas conducen a un enfoque más práctico para la promoción del uso de la bicicleta, con estrategias que podrían basarse en acciones de ‘degustación’ de su uso o de mayor ‘exposición’ a su uso. Is the fact that people like cycling the reason for them to cycle? Or is the fact that they do cycle the reason for them to like cycling? Or is a combination of the two? This kind of questions reflect a problem that can be called ‘the cycle of cycling consideration’: in order to consider cycling in the set of possible options to be chosen, an individual needs to have positive beliefs about it, especially in the case of ‘low-cycling contexts’. However, positive beliefs seem unlikely to be formed with low levels of mode familiarity, say, with a low acquaintance with mode features, functioning and images; at the same time, higher levels of familiarity are likely to be reached if cycling is practised over relative threshold levels of intensities and extensively across individual life courses. The problem looks like a chicken-egg recursive cycle, since the latter condition is hardly met in places where cycling is little practised. In fact, inside the current conglomerate of technologies, infrastructures, regulations, user practices, cultural preferences that have grown around the automobile (the current “socio-technical system of urban mobility”, Urry 2004; Geels 2005, 2012) cycling is commonly considered as difficult, unsafe, and abnormal. Consequently, the processes of familiarity forming remain disabled, and, as a result, beliefs cannot rely on mode familiarity as a source of information and influence. Without cycling familiarity, origins of positive beliefs are supposed to rely only on personal traits (affect, values, identities, willingness, etc.), which, in low-cycling contexts, confine the possibility of cycling consideration (and eventual adoption) mainly to ‘cycling enthusiasts’ who are willing to “go against the grain” (Horton & Parkin 2012), as it results from previous research. New research conducted by author provides theoretical insights for a different approach of the cycling consideration problem in which the presence of the new construct of cycling familiarity is hypothesised in the relationship between mode choice behaviour and the set of psychosocial constructs that are supposed to precede it (beliefs and attitudes). Cycling familiarity is conceived as a measure of the real and the perceived relative intensity of use of a bicycle (building upon Diana & Mokhtarian 2009) which may be differently formed for utilitarian or non-utilitarian purposes. The construct is assumed to be related to the amount of time, the intensity and the regularity an individual spends in using a bicycle for the two distinct categories of purposes, gaining in this way a certain level of acquaintance with the mode. Familiarity with a mode of transport is conceived as an enabling condition to properly define the decision-making context in which individual travel mode choices are taken, in line with rather disperse research efforts postulating inverse relationships between mode behaviours and mode choices (Tardiff 1977; Dobson et al. 1978; Golob et al. 1979; Golob 2001; Schwanen et al. 2012; Diana et al. 2009; Vij & Walker 2014). The new construct is built theoretically and methodologically, and a cross-sectional design instrument is employed. Results from a telephone survey in a representative sample of 736 commuters in the Spanish city of Vitoria-Gasteiz, provide suggestive –although preliminary– evidence on the role of mode familiarity as a mediator in the relationship between cycling use and the formation of beliefs and attitudes toward cycling. Measures of both cycling consideration and cycling familiarity are defined making use of exploratory factor analysis. On the one hand, four distinct cycling consideration measures are created, based on attitude expressions on four underlying factors relating to the cycling commuting behaviour: on how cycling commuting is considered green and smart (G&S); on its pleasant and suited character (P&S); on its efficiency as a mode of transport for commuting (E); and on the main drawbacks of its use, namely the difficulties implied (sweating and being exposed to adverse weather conditions) and the sense of unsafety it generates (feeling at risk of accidents and getting stressed by traffic) (D&U). On the other hand, dimensions of cycling familiarity are measured on two distinct ordinal variables (whether based on the utilitarian or non-utilitarian use) comprising four stages to a complete mode familiarity: not familiar; barely familiar; moderately familiar; fully familiar. For each of the four stages of cycling familiarity defined, statistical significant differences are found, especially for the measure related to the utilitarian use. Consistently, people at the lower levels of cycling familiarity have a lower consideration of the positive aspects of cycling and conversely they exhibit higher concerns towards the negative characteristics than those individuals that are more familiar in utilitarian cycling. Using a bicycle occasionally for practical purposes, as opposed to not using it at all, seems associated to significant higher scores in the three positive factors (G&S, E, P&S) while it appears to be associated to significant lower scores in the factor relating with the negative characteristics of cycling commuting (D&U). A same pattern also occurs with a moderate use, as opposed to an occasional one, especially for the consideration of the negative characteristics. The results are in line with previous literature based on similar variables (e.g. de Geus et al. 2008; Stinson & Bhat 2003, 2004; Hunt & Abraham 2006; and van Bekkum et al. 2011a, among others), but in this study the differences are observed in a low-cycling context and derive from an analysis of the entire population of commuters, which rises the reliability of results.

Use of an Inverse Method for Time Series to Estimate the Dynamics of and Management Strategies for the Box Jellyfish Carybdea marsupialis

Frequently, population ecology of marine organisms uses a descriptive approach in which their sizes and densities are plotted over time. This approach has limited usefulness for design strategies in management or modelling different scenarios. Population projection matrix models are among the most widely used tools in ecology. Unfortunately, for the majority of pelagic marine organisms, it is difficult to mark individuals and follow them over time to determine their vital rates and built a population projection matrix model. Nevertheless, it is possible to get time-series data to calculate size structure and densities of each size, in order to determine the matrix parameters. This approach is known as a “demographic inverse problem” and it is based on quadratic programming methods, but it has rarely been used on aquatic organisms. We used unpublished field data of a population of cubomedusae Carybdea marsupialis to construct a population projection matrix model and compare two different management strategies to lower population to values before year 2008 when there was no significant interaction with bathers. Those strategies were by direct removal of medusae and by reducing prey. Our results showed that removal of jellyfish from all size classes was more effective than removing only juveniles or adults. When reducing prey, the highest efficiency to lower the C. marsupialis population occurred when prey depletion affected prey of all medusae sizes. Our model fit well with the field data and may serve to design an efficient management strategy or build hypothetical scenarios such as removal of individuals or reducing prey. TThis This sdfsdshis method is applicable to other marine or terrestrial species, for which density and population structure over time are available.

The cost of uniqueness in groundwater model calibration

Calibration of a groundwater model requires that hydraulic properties be estimated throughout a model domain. This generally constitutes an underdetermined inverse problem, for which a Solution can only be found when some kind of regularization device is included in the inversion process. Inclusion of regularization in the calibration process can be implicit, for example through the use of zones of constant parameter value, or explicit, for example through solution of a constrained minimization problem in which parameters are made to respect preferred values, or preferred relationships, to the degree necessary for a unique solution to be obtained. The cost of uniqueness is this: no matter which regularization methodology is employed, the inevitable consequence of its use is a loss of detail in the calibrated field. This, ill turn, can lead to erroneous predictions made by a model that is ostensibly well calibrated. Information made available as a by-product of the regularized inversion process allows the reasons for this loss of detail to be better understood. In particular, it is easily demonstrated that the estimated value for an hydraulic property at any point within a model domain is, in fact, a weighted average of the true hydraulic property over a much larger area. This averaging process causes loss of resolution in the estimated field. Where hydraulic conductivity is the hydraulic property being estimated, high averaging weights exist in areas that are strategically disposed with respect to measurement wells, while other areas may contribute very little to the estimated hydraulic conductivity at any point within the model domain, this possibly making the detection of hydraulic conductivity anomalies in these latter areas almost impossible. A study of the post-calibration parameter field covariance matrix allows further insights into the loss of system detail incurred through the calibration process to be gained. A comparison of pre- and post-calibration parameter covariance matrices shows that the latter often possess a much smaller spectral bandwidth than the former. It is also demonstrated that, as all inevitable consequence of the fact that a calibrated model cannot replicate every detail of the true system, model-to-measurement residuals can show a high degree of spatial correlation, a fact which must be taken into account when assessing these residuals either qualitatively, or quantitatively in the exploration of model predictive uncertainty. These principles are demonstrated using a synthetic case in which spatial parameter definition is based oil pilot points, and calibration is Implemented using both zones of piecewise constancy and constrained minimization regularization. (C) 2005 Elsevier Ltd. All rights reserved.

Estimation of concentration-dependent diffusion coefficient in drying process from the space-averaged concentration versus time with experimental data

The estimation of a concentration-dependent diffusion coefficient in a drying process is known as an inverse coefficient problem. The solution is sought wherein the space-average concentration is known as function of time (mass loss monitoring). The problem is stated as the minimization of a functional and gradient-based algorithms are used to solve it. Many numerical and experimental examples that demonstrate the effectiveness of the proposed approach are presented. Thin slab drying was carried out in an isothermal drying chamber built in our laboratory. The diffusion coefficients of fructose obtained with the present method are compared with existing literature results.

Probability distribution modelling to improve stability in nonlinear MIMO control

We consider the direct adaptive inverse control of nonlinear multivariable systems with different delays between every input-output pair. In direct adaptive inverse control, the inverse mapping is learned from examples of input-output pairs. This makes the obtained controller sub optimal, since the network may have to learn the response of the plant over a larger operational range than necessary. Moreover, in certain applications, the control problem can be redundant, implying that the inverse problem is ill posed. In this paper we propose a new algorithm which allows estimating and exploiting uncertainty in nonlinear multivariable control systems. This approach allows us to model strongly non-Gaussian distribution of control signals as well as processes with hysteresis. The proposed algorithm circumvents the dynamic programming problem by using the predicted neural network uncertainty to localise the possible control solutions to consider.

Magnetoencephalography:technical improvements in image co-registration and studies of visual cortical oscillations

The work presented in this thesis is divided into two distinct sections. In the first, the functional neuroimaging technique of Magnetoencephalography (MEG) is described and a new technique is introduced for accurate combination of MEG and MRI co-ordinate systems. In the second part of this thesis, MEG and the analysis technique of SAM are used to investigate responses of the visual system in the context of functional specialisation within the visual cortex. In chapter one, the sources of MEG signals are described, followed by a brief description of the necessary instrumentation for accurate MEG recordings. This chapter is concluded by introducing the forward and inverse problems of MEG, techniques to solve the inverse problem, and a comparison of MEG with other neuroimaging techniques. Chapter two provides an important contribution to the field of research with MEG. Firstly, it is described how MEG and MRI co-ordinate systems are combined for localisation and visualisation of activated brain regions. A previously used co-registration methods is then described, and a new technique is introduced. In a series of experiments, it is demonstrated that using fixed fiducial points provides a considerable improvement in the accuracy and reliability of co-registration. Chapter three introduces the visual system starting from the retina and ending with the higher visual rates. The functions of the magnocellular and the parvocellular pathways are described and it is shown how the parallel visual pathways remain segregated throughout the visual system. The structural and functional organisation of the visual cortex is then described. Chapter four presents strong evidence in favour of the link between conscious experience and synchronised brain activity. The spatiotemporal responses of the visual cortex are measured in response to specific gratings. It is shown that stimuli that induce visual discomfort and visual illusions share their physical properties with those that induce highly synchronised gamma frequency oscillations in the primary visual cortex. Finally chapter five is concerned with localization of colour in the visual cortex. In this first ever use of Synthetic Aperture Magnetometry to investigate colour processing in the visual cortex, it is shown that in response to isoluminant chromatic gratings, the highest magnitude of cortical activity arise from area V2.

Effective electromagnetic noise cancellation with beamformers and synthetic gradiometry in shielded and partly shielded environments

The major challenge of MEG, the inverse problem, is to estimate the very weak primary neuronal currents from the measurements of extracranial magnetic fields. The non-uniqueness of this inverse solution is compounded by the fact that MEG signals contain large environmental and physiological noise that further complicates the problem. In this paper, we evaluate the effectiveness of magnetic noise cancellation by synthetic gradiometers and the beamformer analysis method of synthetic aperture magnetometry (SAM) for source localisation in the presence of large stimulus-generated noise. We demonstrate that activation of primary somatosensory cortex can be accurately identified using SAM despite the presence of significant stimulus-related magnetic interference. This interference was generated by a contact heat evoked potential stimulator (CHEPS), recently developed for thermal pain research, but which to date has not been used in a MEG environment. We also show that in a reduced shielding environment the use of higher order synthetic gradiometry is sufficient to obtain signal-to-noise ratios (SNRs) that allow for accurate localisation of cortical sensory function.

The laminar-turbulent transition in a fibre laser

Studying the transition from a linearly stable coherent laminar state to a highly disordered state of turbulence is conceptually and technically challenging, and of great interest because all pipe and channel flows are of that type. In optics, understanding how a system loses coherence, as spatial size or the strength of excitation increases, is a fundamental problem of practical importance. Here, we report our studies of a fibre laser that operates in both laminar and turbulent regimes. We show that the laminar phase is analogous to a one-dimensional coherent condensate and the onset of turbulence is due to the loss of spatial coherence. Our investigations suggest that the laminar-turbulent transition in the laser is due to condensate destruction by clustering dark and grey solitons. This finding could prove valuable for the design of coherent optical devices as well as systems operating far from thermodynamic equilibrium. © 2013 Macmillan Publishers Limited.

Simulation in the supply chain context:matching the simulation tool to the problem

The supply chain can be a source of competitive advantage for the firm. Simulation is an effective tool for investigating supply chain problems. The three main simulation approaches in the supply chain context are System Dynamics (SD), Discrete Event Simulation (DES) and Agent Based Modelling (ABM). A sample from the literature suggests that whilst SD and ABM have been used to address strategic and planning problems, DES has mainly been used on planning and operational problems., A review of received wisdom suggests that historically, driven by custom and practice, certain simulation techniques have been focused on certain problem types. A theoretical review of the techniques, however, suggests that the scope of their application should be much wider and that supply chain practitioners could benefit from applying them in this broader way.

Digital signal processing based on inverse scattering transform

Through numerical modeling, we illustrate the possibility of a new approach to digital signal processing in coherent optical communications based on the application of the so-called inverse scattering transform. Considering without loss of generality a fiber link with normal dispersion and quadrature phase shift keying signal modulation, we demonstrate how an initial information pattern can be recovered (without direct backward propagation) through the calculation of nonlinear spectral data of the received optical signal. © 2013 Optical Society of America.