Polyphenylene dendrimers

The main goals of this work were the design, synthesis, and characterization of new functional polyphenylene dendrimers. Polyphenylene dendrimers are highly branched, monodisperse macromolecules consisting exclusively of benzene rings. They can be obtained in high yield by a repetitive Diels-Alder cycloaddition - deprotection protocol. Their shape-persistent dendritic scaffold allows to obtain nanoparticles with functional groups in defined relative orientation. In the first chapter polyphenylene dendrimers with a pyrene core are presented. The focus of the investigations was upon the shielding efficiency of dendritic shells of different generations upon the pyrene-functionality in the core. The herein presented materials combine high quantum efficiency, good solubility and improved film forming properties making them possible candidates for several applications in electronic devices. The defined functionalization of polyphenylene dendrimers often requires a great synthetic effort, since for every desired function the appropriate building block has to be synthesized. To overcome these disadvantages, a new functionalization concept based upon benzophenone precursors has been developed. This new concept has successfully been applied for the functionalization of the dendritic core, the dendrimer shell, and the dendrimer surface. To investigate the accessibility and reactivity of the embedded groups, many functions of different size and nature were introduced. Moreover, suitable precursors for the synthesis of dendrimer entrapped species, trityl cations, trityl radicals, and ketyl radical anions, were obtained. The combination of the synthetic protocols of core- and surface-functionalization resulted in a new type of functional molecules, highly interesting from the point of electron transfer processes. A polyphenylene dendron was used to arrange a triphenylamine donor and a perylene acceptor moiety in a defined spatial distance and orientation. The in-depth photophysical investigation of a first model compound is reported. The herein presented functionalized dendrimers are highly interesting as well from the point of view of fundamental research (looking into the optic and electronic properties of such unique shape persistent structures) as from the point of view of their potential application as tailor-made nanomaterials in the field of optoelectronics.

Thiophene- Based Materials for Photovoltaic Applications

Thiophene oligomers (OTs) and polymers (PTs) are currently attracting remarkable attention as organic materials showing semiconducting, fluorescent, nonlinear optical and liquid crystalline properties. All these properties can be fine-tuned through minor structural modifications. As a consequence, thiophene oligomers and polymers are among the most investigated compounds for applications in organic electronics, optoelectronics and thin film devices such as field effect transistors (FETs), light emitting diodes (LEDs) and photovoltaic devices (PVDs). Our research aims to explore the self-assembly features and the optical, electrical and photovoltaic properties of a class of thiophene based materials so far scarcely investigated, namely that of oligo- and polythiophenes head-to-head substituted with alkyl or S-alkyl chains. In particular, we synthesized these compounds in short reaction times, high yields, high purity and environmentally friendly procedures taking advantage of ultrasound (US) and microwave (MW) enabling technologies in Suzuki-Miyaura cross-couplings.

Supramolecular order and dynamics of functional materials studied by solid state NMR

The goal of this thesis was the investigation of the structure, conformation, supramolecular order and molecular dynamics of different classes of functional materials (phthalocyanine, perylene and hexa-peri-hexabenzocoronene derivatives and mixtures of those), all having planar aromatic cores modified with various types of alkyl chains. The planar aromatic systems are known to stack in the solid and the liquid-crystalline state due to p-p interactions forming columnar superstructures with high one-dimensional charge carrier mobility and potential application in photovoltaic devices. The different functionalities attached to the aromatic cores significantly influence the behavior of these systems allowing the experimentalists to modify the structures to fine-tune the desired thermotropic properties or charge carrier mobility. The aim of the presented studies was to understand the interplay between the driving forces causing self-assembly by relating the structural and dynamic information about the investigated systems. The supramolecular organization is investigated by applying 1H solid state NMR recoupling techniques. The results are related with DSC and X-ray scattering data. Detailed information about the site-specific molecular dynamics is gained by recording spinning sideband patterns using 1H-1H and 13C-1H solid state NMR recoupling techniques. The determined dipole-dipole coupling constants are then related with the coupling constants of the respective rigid pairs, thus providing local dynamic order parameters for the respective moieties. The investigations presented reveal that in the crystalline state the preferred arrangement in the columnar stack of discotic molecules modified with alkyl chains is tilted. This leads to characteristic differences in the 1H chemical shifts of otherwise chemically equivalent protons. Introducing branches and increasing the length of the alkyl chains results in lower mesophase transitions and disordered columnar stacks. In the liquid-crystalline state some of the discs lose the tilted orientation, others do not, but all start a rapid rotation about the columnar axis.

Luminophores and Carbon nanostructures: towards new functional materials

In the scenario of depleting fossil fuels, finding new energy technologies and conserving conventional energy resources have become essential to sustain modern civilization. While renewable energies are on the rise, considerable interest has been turned also to reduce energy consumption of conventional devices and appliances, which are often not yet optimized for this purpose. Modern nanotechnology provides a platform to build such devices by using nanomaterials showing exceptional physico-chemical properties. In particular, carbon materials (fullerenes, carbon nanotubes, graphene etc.), which show high thermal and electrical conductivity, aspect ratio, shear strength and chemical/mechanical resistance, are quite promising for a wide range of applications. However, the problem of solubility often hampers their handling and industrial utilization. These limitations can be mitigated by functionalizing carbon nanostructures, either covalently or non covalently, with organic or inorganic compounds. The exo- and endohedral functionalization of carbon nanotubes (CNTs) with organic/inorganic moieties to produce luminescent materials with desired properties are the main focus of this doctoral work. These hybrids have been thoroughly designed and characterized with chemical, microscopic and photophysical analyses. All the materials based on carbon nanostructures described in this thesis are innovative examples of photoactive and luminescent hybrids, and their morphological and photophysical properties help understanding the nature of interactions between the active units. This may prompt the design and fabrication of new functional materials for applications in the fields of optoelectronics and photovoltaics.

Photoinduced electronic transitions and leakage correlation to defects/dislocations in GaN heterostructures

III-nitride materials are very promising for high speed electronics/optical applications but still suffer in performance due to problems during high quality epitaxial growth, evolution of dislocation and defects, less understanding of fundamental physics of materials/processing of devices etc. This thesis mainly focus on GaN based heterostructures to understand the metal-semiconductor interface properties, 2DE(H)G influence on electrical and optical properties, and deep level states in GaN and InAlN, InGaN materials. The detailed electrical characterizations have been employed on Schottky diodes at GaN and InAl(Ga)N/GaN heterostructures in order to understand the metal-semiconductor interface related properties in these materials. I have observed the occurrence of Schottky barrier inhomogenity, role of dislocations in terms of leakage and creating electrically active defect states within energy gap of materials. Deep level transient spectroscopy method is employed on GaN, InAlN and InGaN materials and several defect levels have been observed related to majority and minority carriers. In fact, some defects have been found common in characteristics in ternary layers and GaN layer which indicates that those defect levels are from similar origin, most probably due to Ga/N vacancy in GaN/heterostructures. The role of structural defects, roughness has been extensively understood in terms of enhancing the reverse leakage current, suppressing the mobility in InAlN/AlN/GaN based high electron mobility transistor (HEMT) structures which are identified as key issues for GaN technology. Optical spectroscopy methods have been employed to understand materials quality, sub band and defect related transitions and compared with electrical characterizations. The observation of 2DEG sub band related absorption/emission in optical spectra have been identified and proposed for first time in nitride based polar heterostructures, which is well supported with simulation results. In addition, metal-semiconductor-metal (MSM)-InAl(Ga)N/GaN based photodetector structures have been fabricated and proposed for achieving high efficient optoelectronics devices in future.

Electrical scanning probe microscopy on organic optoelectronic structures

In the field of organic optoelectronics, the nanoscale structure of the materials has huge im-pact on the device performance. Here, scanning force microscopy (SFM) techniques become increasingly important. In addition to topographic information, various surface properties can be recorded on a nanometer length scale, such as electrical conductivity (conductive scanning force microscopy, C-SFM) and surface potential (Kelvin probe force microscopy, KPFM).rnrnIn the context of this work, the electrical SFM modes were applied to study the interplay be-tween morphology and electrical properties in hybrid optoelectronic structures, developed in the group of Prof. J. Gutmann (MPI-P Mainz). In particular, I investigated the working prin-ciple of a novel integrated electron blocking layer system. A structure of electrically conduct-ing pathways along crystalline TiO2 particles in an insulating matrix of a polymer derived ceramic was found and insulating defect structures could be identified. In order to get insights into the internal structure of a device I investigated a working hybrid solar cell by preparing a cross cut with focused ion beam polishing. With C-SFM, the functional layers could be identified and the charge transport properties of the novel active layer composite material could be studied. rnrnIn C-SFM, soft surfaces can be permanently damaged by (i) tip induced forces, (ii) high elec-tric fields and (iii) high current densities close to the SFM-tip. Thus, an alternative operation based on torsion mode topography imaging in combination with current mapping was intro-duced. In torsion mode, the SFM-tip vibrates laterally and in close proximity to the sample surface. Thus, an electrical contact between tip and sample can be established. In a series of reference experiments on standard surfaces, the working mechanism of scanning conductive torsion mode microscopy (SCTMM) was investigated. Moreover, I studied samples covered with free standing semiconducting polymer nano-pillars that were developed in the group of Dr. P. Theato (University Mainz). The application of SCTMM allowed non-destructive imag-ing of the flexible surface at high resolution while measuring the conductance on individual pillarsrnrnIn order to study light induced electrical effects on the level of single nanostructures, a new SFM setup was built. It is equipped with a laser sample illumination and placed in inert at-mosphere. With this photoelectric SFM, I investigated the light induced response in function-alized nanorods that were developed in the group of Prof. R. Zentel (University Mainz). A block-copolymer containing an anchor block and dye moiety and a semiconducting conju-gated polymer moiety was synthesized and covalently bound to ZnO nanorods. This system forms an electron donor/acceptor interface and can thus be seen as a model system of a solar cell on the nanoscale. With a KPFM study on the illuminated samples, the light induced charge separation between the nanorod and the polymeric corona could not only be visualized, but also quantified.rnrnThe results demonstrate that electrical scanning force microscopy can study fundamental processes in nanostructures and give invaluable feedback to the synthetic chemists for the optimization of functional nanomaterials.rn

Electrical spectroscopy of rubrene bulk and thin film crystals

One of the most diffused electronic device is the field effect transistor (FET), contained in number of billions in each electronic device. Organic optoelectronics is an emerging field that exploits the unique properties of conjugated organic materials to develop new applications that require a combination of performance, low cost and processability. Organic single crystals are the material with best performances and purity among the variety of different form of organic semiconductors. This thesis is focused on electrical and optical characterization of Rubrene single crystal bulk and thin films. Rubrene bulk is well known but for the first time we studied thin films. The first Current-voltage characterization has been performed for the first time on three Rubrene thin films with three different thickness to extract the charge carriers mobility and to assess its crystalline structure. As results we see that mobility increase with thickness. Field effect transistor based on Rubrene thin films on $SiO_2$ have been characterize by current-voltage (I-V) analyses (at several temperatures) and reveals a hopping conduction. Hopping behavior probably is due to the lattice mismatch with the substrate or intrinsic defectivity of the thin films. To understand effects of contact resistance we tested thin films with the Transmission Line Method (TLM) method. The TLM method revealeds that contact resistance is negligible but evidenced a Schottky behavior in a limited but well determined range of T. To avoid this effect we carried out annealing treatment after the electrode evaporation iswe performed a compete I-V characterization as a function of in temperature to extract the electronic density of states (DOS) distribution through the Space Charge Limited Current (SCLC) method. The results show a DOS with an exponential trenddistribution, as expected. The measured mobility of thin films is about 0.1cm^2/Vs and it increases with the film thickness. Further studies are necessary to investigate the reason and improve performances. From photocurrent spectrum we calculated an Eg of about 2.2eV and both thin films and bulk have a good crystal order. Further measurement are necessary to solve some open problems

Si and SixGe1-x NWs studied by Raman spectroscopy

Group IV nanostructures have attracted a great deal of attention because of their potential applications in optoelectronics and nanodevices. Raman spectroscopy has been extensively used to characterize nanostructures since it provides non destructive information about their size, by the adequate modeling of the phonon confinement effect. The Raman spectrum is also sensitive to other factors, as stress and temperature, which can mix with the size effects borrowing the interpretation of the Raman spectrum. We present herein an analysis of the Raman spectra obtained for Si and SiGe nanowires; the influence of the excitation conditions and the heat dissipation media are discussed in order to optimize the experimental conditions for reliable spectra acquisition and interpretation.

Crecimiento, fabricación y caracterización de heteroestructuras y nanocolumnas ordenadas basadas en nitruros del grupo III para aplicaciones sensoras

Esta memoria está basada en el crecimiento y caracterización de heteroestructuras Al(Ga)N/GaN y nanocolumnas ordenadas de GaN, y su aplicación en sensores químicos. El método de crecimiento ha sido la epitaxia de haces moleculares asistida por plasma (PAMBE). En el caso de las heteroestructuras Al(Ga)N/GaN, se han crecido barreras de distinto espesor y composición, desde AlN de 5 nm, hasta AlGaN de 35 nm. Además de una caracterización morfológica, estructural y eléctrica básica de las capas, también se han fabricado a partir de ellas dispositivos tipo HEMTs. La caracterización eléctrica de dichos dispositivos (carga y movilidad de en el canal bidimensional) indica que las mejores heteroestructuras son aquellas con un espesor de barrera intermedio (alrededor de 20 nm). Sin embargo, un objetivo importante de esta Tesis ha sido verificar las ventajas que podían tener los sensores basados en heteroestructuras AlN/GaN (frente a los típicos basados en AlGaN/GaN), con espesores de barrera muy finos (alrededor de 5 nm), ya que el canal de conducción que se modula por efecto de cambios químicos está más cerca de la superficie en donde ocurren dichos cambios químicos. De esta manera, se han utilizado los dispositivos tipo HEMTs como sensores químicos de pH (ISFETs), y se ha comprobado la mayor sensibilidad (variación de corriente frente a cambios de pH, Ids/pH) en los sensores basados en AlN/GaN frente a los basados en AlGaN/GaN. La mayor sensibilidad es incluso más patente en aplicaciones en las que no se utiliza un electrodo de referencia. Se han fabricado y caracterizado dispositivos ISFET similares utilizando capas compactas de InN. Estos sensores presentan peor estabilidad que los basados en Al(Ga)N/GaN, aunque la sensibilidad superficial al pH era la misma (Vgs/pH), y su sensibilidad en terminos de corriente de canal (Ids/pH) arroja valores intermedios entre los ISFET basados en AlN/GaN y los valores de los basados en AlGaN/GaN. Para continuar con la comparación entre dispositivos basados en Al(Ga)N/GaN, se fabricaron ISFETs con el área sensible más pequeña (35 x 35 m2), de tamaño similar a los dispositivos destinados a las medidas de actividad celular. Sometiendo los dispositivos a pulsos de voltaje en su área sensible, la respuesta de los dispositivos de AlN presentaron menor ruido que los basados en AlGaN. El ruido en la corriente para dispositivos de AlN, donde el encapsulado no ha sido optimizado, fue tan bajo como 8.9 nA (valor rms), y el ruido equivalente en el potencial superficial 38.7 V. Estos valores son más bajos que los encontrados en los dispositivos típicos para la detección de actividad celular (basados en Si), y del orden de los mejores resultados encontrados en la literatura sobre AlGaN/GaN. Desde el punto de vista de la caracterización electro-química de las superficies de GaN e InN, se ha determinado su punto isoeléctrico. Dicho valor no había sido reportado en la literatura hasta el momento. El valor, determinado por medidas de “streaming potential”, es de 4.4 y 4 respectivamente. Este valor es una importante característica a tener en cuenta en sensores, en inmovilización electrostática o en la litografía coloidal. Esta última técnica se discute en esta memoria, y se aplica en el último bloque de investigación de esta Tesis (i.e. crecimiento ordenado). El último apartado de resultados experimentales de esta Tesis analiza el crecimiento selectivo de nanocolumnas ordenadas de GaN por MBE, utilizando mascaras de Ti con nanoagujeros. Se ha estudiado como los distintos parámetros de crecimiento (i.e. flujos de los elementos Ga y N, temperatura de crecimiento y diseño de la máscara) afectan a la selectividad y a la morfología de las nanocolumnas. Se ha conseguido con éxito el crecimiento selectivo sobre pseudosustratos de GaN con distinta orientación cristalina o polaridad; templates de GaN(0001)/zafiro, GaN(0001)/AlN/Si, GaN(000-1)/Si y GaN(11-20)/zafiro. Se ha verificado experimentalmente la alta calidad cristalina de las nanocolumnas ordenadas, y su mayor estabilidad térmica comparada con las capas compactas del mismo material. Las nanocolumnas ordenadas de nitruros del grupo III tienen una clara aplicación en el campo de la optoelectrónica, principalmente para nanoemisores de luz blanca. Sin embargo, en esta Tesis se proponen como alternativa a la utilización de capas compactas o nanocolumnas auto-ensambladas en sensores. Las nanocolumnas auto-ensambladas de GaN, debido a su alta razón superficie/volumen, son muy prometedoras en el campo de los sensores, pero su amplia dispersión en dimensiones (altura y diámetro) supone un problema para el procesado y funcionamiento de dispositivos reales. En ese aspecto, las nanocolumnas ordenadas son más robustas y homogéneas, manteniendo una alta relación superficie/volumen. Como primer experimento en el ámbito de los sensores, se ha estudiado como se ve afectada la emisión de fotoluminiscencia de las NCs ordenadas al estar expuestas al aire o al vacio. Se observa una fuerte caída en la intensidad de la fotoluminiscencia cuando las nanocolumnas están expuestas al aire (probablemente por la foto-adsorción de oxigeno en la superficie), como ya había sido documentado anteriormente en nanocolumnas auto-ensambladas. Este experimento abre el camino para futuros sensores basados en nanocolumnas ordenadas. Abstract This manuscript deals with the growth and characterization of Al(Ga)N/GaN heterostructures and GaN ordered nanocolumns, and their application in chemical sensors. The growth technique has been the plasma-assisted molecular beam epitaxy (PAMBE). In the case of Al(Ga)N/GaN heterostructures, barriers of different thickness and composition, from AlN (5 nm) to AlGaN (35 nm) have been grown. Besides the basic morphological, structural and electrical characterization of the layers, HEMT devices have been fabricated based on these layers. The best electrical characteristics (larger carriers concentration and mobility in the two dimensional electron gas) are those in AlGaN/GaN heterostructures with a medium thickness (around 20 nm). However, one of the goals of this Thesis has been to verify the advantages that sensors based on AlN/GaN (thickness around 7 nm) have compared to standard AlGaN/GaN, because the conduction channel to be modulated by chemical changes is closer to the sensitive area. In this way, HEMT devices have been used as chemical pH sensors (ISFETs), and the higher sensitivity (conductance change related to pH changes, Ids/pH) of AlN/GaN based sensors has been proved. The higher sensibility is even more obvious in application without reference electrode. Similar ISFETs devices have been fabricated based on InN compact layers. These devices show a poor stability, but its surface sensitivity to pH (Vgs/pH) and its sensibility (Ids/pH) yield values between the corresponding ones of AlN/GaN and AlGaN/GaN heterostructures. In order to a further comparison between Al(Ga)N/GaN based devices, ISFETs with smaller sensitive area (35 x 35 m2), similar to the ones used in cellular activity record, were fabricated and characterized. When the devices are subjected to a voltage pulse through the sensitive area, the response of AlN based devices shows lower noise than the ones based on AlGaN. The noise in the current of such a AlN based device, where the encapsulation has not been optimized, is as low as 8.9 nA (rms value), and the equivalent noise to the surface potential is 38.7 V. These values are lower than the found in typical devices used for cellular activity recording (based on Si), and in the range of the best published results on AlGaN/GaN. From the point of view of the electrochemical characterization of GaN and InN surfaces, their isoelectric point has been experimentally determined. Such a value is the first time reported for GaN and InN surfaces. These values are determined by “streaming potential”, being pH 4.4 and 4, respectively. Isoelectric point value is an important characteristic in sensors, electrostatic immobilization or in colloidal lithography. In particular, colloidal lithography has been optimized in this Thesis for GaN surfaces, and applied in the last part of experimental results (i.e. ordered growth). The last block of this Thesis is focused on the selective area growth of GaN nanocolumns by MBE, using Ti masks decorated with nanoholes. The effect of the different growth parameters (Ga and N fluxes, growth temperature and mask design) is studied, in particular their impact in the selectivity and in the morphology of the nanocolumns. Selective area growth has been successful performed on GaN templates with different orientation or polarity; GaN(0001)/sapphire, GaN(0001)/AlN/Si, GaN(000- 1)/Si and GaN(11-20)/sapphire. Ordered nanocolumns exhibit a high crystal quality, and a higher thermal stability (lower thermal decomposition) than the compact layers of the same material. Ordered nanocolumns based on III nitrides have a clear application in optoelectronics, mainly for white light nanoemitters. However, this Thesis proposes them as an alternative to compact layers and self-assembled nanocolumns in sensor applications. Self-assembled GaN nanocolumns are very appealing for sensor applications, due to their large surface/volume ratio. However, their large dispersion in heights and diameters are a problem in terms of processing and operation of real devices. In this aspect, ordered nanocolumns are more robust and homogeneous, keeping the large surface/volume ratio. As first experimental evidence of their sensor capabilities, ordered nanocolumns have been studied regarding their photoluminiscence on air and vacuum ambient. A big drop in the intensity is observed when the nanocolumns are exposed to air (probably because of the oxygen photo-adsortion), as was already reported in the case of self-assembled nanocolumns. This opens the way to future sensors based on ordered III nitrides nanocolumns.

Two-wavelength switching with a distributed-feed back semiconductor optical amplifier (DFBSOA)

Switching of a signal beam by another control beam at different wavelength is demonstrated experimentally using the optical bistability occurring in a 1.55 mm-distributed feedback semiconductor optical amplifier (DFBSOA) working in reflection. Counterclockwise (S-shaped) and reverse (clockwise) bistability are observed in the output of the control and the signal beam respectively, as the power of the input control signal is increased. With this technique an optical signal can be set in either of the optical input wavelengths by appropriate choice of the powers of the input signals. The switching properties of the DFBSOA are studied experimentally as the applied bias current is increased from below to above threshold and for different levels of optical power in the signal beam and different wavelength detunings between both input signals. Higher on-off extinction ratios, wider bistable loops and lower input power requirements for switching are obtained when the DFBSOA is operated slightly above its threshold value.

Low cost time division multiplexing of identical optical fibre ring intensity sensors

A time division multiplexing (TDM) array for passive multiplexing of identical fibre, optic intensity sensors has been demonstrated. Microbending loss sensors are introduced in fibre optic rings and pressure information is directly detected, demultiplexed and demodulated from the relative amplitude of the first two pulses produced on each ring. Several dynamic ranges from 6 dB to 14 dB are shown. A comparison between both fibre optic ring and Mach-Zehnder structure impulse responses is carried out and the consequences derived from second- and higher-order recirculating ring pulses are also evaluated. This technique can be applied to those TDM intensity sensing schemes which require low cost, high number of identical sensors, and suffer high element loss and undersirable intensity fluctuations at low frequencies.

Slabsim: Simulador de dispositivos ópticos integrados

En los diseños y desarrollos de ingeniería, antes de comenzar la construcción e implementación de los objetivos de un proyecto, es necesario realizar una serie de análisis previos y simulaciones que corroboren las expectativas de la hipótesis inicial, con el fin de obtener una referencia empírica que satisfaga las condiciones de trabajo o funcionamiento de los objetivos de dicho proyecto. A menudo, los resultados que satisfacen las características deseadas se obtienen mediante la iteración de métodos de ensayo y error. Generalmente, éstos métodos utilizan el mismo procedimiento de análisis con la variación de una serie de parámetros que permiten adaptar una tecnología a la finalidad deseada. Hoy en día se dispone de computadoras potentes, así como algoritmos de resolución matemática que permiten resolver de forma veloz y eficiente diferentes tipos de problemas de cálculo. Resulta interesante el desarrollo de aplicaciones que permiten la resolución de éstos problemas de forma rápida y precisa en el análisis y síntesis de soluciones de ingeniería, especialmente cuando se tratan expresiones similares con variaciones de constantes, dado que se pueden desarrollar instrucciones de resolución con la capacidad de inserción de parámetros que definan el problema. Además, mediante la implementación de un código de acuerdo a la base teórica de una tecnología, se puede lograr un código válido para el estudio de cualquier problema relacionado con dicha tecnología. El desarrollo del presente proyecto pretende implementar la primera fase del simulador de dispositivos ópticos Slabsim, en cual se puede representar la distribución de la energía de una onda electromagnética en frecuencias ópticas guiada a través de una una guía dieléctrica plana, también conocida como slab. Este simulador esta constituido por una interfaz gráfica generada con el entorno de desarrollo de interfaces gráficas de usuario Matlab GUIDE, propiedad de Mathworks©, de forma que su manejo resulte sencillo e intuitivo para la ejecución de simulaciones con un bajo conocimiento de la base teórica de este tipo de estructuras por parte del usuario. De este modo se logra que el ingeniero requiera menor intervalo de tiempo para encontrar una solución que satisfaga los requisitos de un proyecto relacionado con las guías dieléctricas planas, e incluso utilizarlo para una amplia diversidad de objetivos basados en esta tecnología. Uno de los principales objetivos de este proyecto es la resolución de la base teórica de las guías slab a partir de métodos numéricos computacionales, cuyos procedimientos son extrapolables a otros problemas matemáticos y ofrecen al autor una contundente base conceptual de los mismos. Por este motivo, las resoluciones de las ecuaciones diferenciales y características que constituyen los problemas de este tipo de estructuras se realizan por estos medios de cálculo en el núcleo de la aplicación, dado que en algunos casos, no existe la alternativa de uso de expresiones analíticas útiles. ABSTRACT. The first step in engineering design and development is an analysis and simulation process which will successfully corroborate the initial hypothesis that was made and find solutions for a particular. In this way, it is possible to obtain empirical evidence which suitably substantiate the purposes of the project. Commonly, the characteristics to reach a particular target are found through iterative trial and error methods. These kinds of methods are based on the same theoretical analysis but with a variation of some parameters, with the objective to adapt the results for a particular aim. At present, powerful computers and mathematical algorithms are available to solve different kinds of calculation problems in a fast and efficient way. Computing application development is useful as it gives a high level of accurate results for engineering analysis and synthesis in short periods of time. This is more notable in cases where the mathematical expressions on a theoretical base are similar but with small variations of constant values. This is due to the ease of adaptation of the computer programming code into a parameter request system that defines a particular solution on each execution. Additionally, it is possible to code an application suitable to simulate any issue related to the studied technology. The aim of the present project consists of the construction of the first stage of an optoelectronics simulator named Slabsim. Slabism is capable of representing the energetic distribution of a light wave guided in the volume of a slab waveguide. The mentioned simulator is made through the graphic user interface development environment Matlab GUIDE, property of Mathworks©. It is designed for an easy and intuitive management by the user to execute simulations with a low knowledge of the technology theoretical bases. With this software it is possible to achieve several aims related to the slab waveguides by the user in low interval of time. One of the main purposes of this project is the mathematical solving of theoretical bases of slab structures through computing numerical analysis. This is due to the capability of adapting its criterion to other mathematical issues and provides a strong knowledge of its process. Based on these advantages, numerical solving methods are used in the core of the simulator to obtain differential and characteristic equations results that become represented on it.

Modeling and optimization of frequencies on congested bus lines

In this paper some mathematical programming models are exposed in order to set the number of services on a specified system of bus lines, which are intended to assist high demand levels which may arise because of the disruption of Rapid Transit services or during the celebration of massive events. By means of this model two types of basic magnitudes can be determined, basically: a) the number of bus units assigned to each line and b) the number of services that should be assigned to those units. In these models, passenger flow assignment to lines can be considered of the system optimum type, in the sense that the assignment of units and of services is carried out minimizing a linear combination of operation costs and total travel time of users. The models consider delays experienced by buses as a consequence of the get in/out of the passengers, queueing at stations and the delays that passengers experience waiting at the stations. For the case of a congested strategy based user optimal passenger assignment model with strict capacities on the bus lines, the use of the method of successive averages is shown.

Definición e implementación de métricas objetivas para la evaluación funcional del miembro superior: aplicación a población con lesión medular cervical

En personas que padecen una Lesión Medular cervical, la función de los miembros superiores se ve afectada en mayor o menor medida, dependiendo fundamentalmente del nivel de la lesión y de la severidad de la misma. El déficit en la función del miembro superior hace que la autonomía e independencia de las personas se vea reducida en la ejecución de Actividades de la Vida Diaria. En el entorno clínico, la valoración de la función del miembro superior se realiza principalmente con escalas clínicas. Algunas de ellas valoran el nivel de dependencia o independencia en la ejecución de Actividades de la Vida Diaria, como, por ejemplo, el índice de Barthel y la escala FIM (Medida de la Independencia Funcional). Otras escalas, como Jebsen-Taylor Hand Function, miden la función del miembro superior valorando la destreza y la habilidad en la ejecución de determinadas tareas funcionales. Estas escalas son generales, es decir, se pueden aplicar a distintas poblaciones de sujetos y a la presencia de distintas patologías. Sin embargo, existen otras escalas desarrolladas específicamente para valorar una patología concreta, con el objetivo de hacer las evaluaciones funcionales más sensibles a cambios. Un ejemplo es la escala Spinal Cord Independence Measure (SCIM), desarrollada para valorar Lesión Medular. Las escalas clínicas son instrumentos de medida estandarizados, válidos para su uso en el entorno clínico porque se han validado en muestras grandes de pacientes. No obstante, suelen poseer una elevada componente de subjetividad que depende principalmente de la persona que puntúa el test. Otro aspecto a tener en cuenta, es que la sensibilidad de las escalas es alta, fundamentalmente, a cambios groseros en el estado de salud o en la función del miembro superior, de forma que cambios sutiles en el sujeto pueden no ser detectados. Además, en ocasiones, poseen saturaciones en el sistema de puntuación, de forma que mejorías que se puedan producir por encima de un determinado umbral no son detectadas. En definitiva, estas limitaciones hacen que las escalas clínicas no sean suficientes, por sí mismas, para evaluar estrategias motoras del miembro superior durante la ejecución de movimientos funcionales, siendo necesaria la búsqueda de instrumentos de medida que aporten objetividad, complementen las valoraciones y, al mismo tiempo, intenten solventar las limitaciones que poseen las escalas. Los estudios biomecánicos son ejemplos de métodos objetivos, en los que diversas tecnologías se pueden utilizar para recoger información de los sujetos. Una concreción de estos estudios son los estudios cinemáticos. Mediante tecnología optoelectrónica, inercial o electromagnética, estos estudios proporcionan información objetiva acerca del movimiento realizado por los sujetos, durante la ejecución de tareas concretas. Estos sistemas de medida proporcionan grandes cantidades de datos que carecen de una interpretación inmediata. Estos datos necesariamente deben ser tratados y reducidos a un conjunto de variables que, a priori, posean una interpretación más sencilla para ser utilizados en la práctica clínica. Estas han sido las principales motivaciones de esta investigación. El objetivo principal fue proponer un conjunto de índices cinemáticos que, de forma objetiva, valoren la función del miembro superior; y validar los índices propuestos en poblaciones con Lesión Medular, para su uso como instrumentos de valoración en el entorno clínico. Esta tesis se enmarca dentro de un proyecto de investigación: HYPER (Hybrid Neuroprosthetic and Neurorobotic Devices for Functional Compensation and Rehabilitation of Motor Disorders, referencia CSD2009-00067 CONSOLIDER INGENIO 2010). Dentro de este proyecto se lleva a cabo investigación en el desarrollo de modelos, para determinar los requisitos biomecánicos y los patrones de movimiento de los miembros superiores en sujetos sanos y personas con lesión medular. Además, se realiza investigación en la propuesta de nuevos instrumentos de evaluación funcional en el campo de la rehabilitación de los miembros superiores. ABSTRACT In people who have suffered a cervical Spinal Cord Injury, upper limbs function is affected to a greater or lesser extent, depending primarily on the level of the injury and the severity of it. The deficit in the upper limb function reduces the autonomy and independence of persons in the execution of Activities of Daily Living. In the clinical setting, assessment of upper limb function is mainly performed based on clinical scales. Some value the level of dependence or independence in performing activities of daily living, such as the Barthel Index and the FIM scale (Functional Independence Measure). Other scales, such as the Jebsen-Taylor Hand Function, measure upper limb function in terms of the skill and ability to perform specific functional tasks. These scales are general, so can be applied to different populations of subjects and the presence of different pathologies. However, there are other scales developed for a specific injury, in order to make the functional assessments more sensitive to changes. An example is the Spinal Cord Independence Measure (SCIM), developed for people with Spinal Cord Injury. The clinical scales are standardized instruments measure, valid for use in the clinical setting because they have been validated in large patient samples. However, they usually have a high level of subjectivity which mainly depends on the person who scores the test. Another aspect to take into account is the high sensitivity of the scales mainly to gross changes in the health status or upper limb function, so that subtle changes in the subject may not be detected. Moreover, sometimes, have saturations in the scoring system, so that improvements which may occur above a certain threshold are not detected. For these reasons, clinical scales are not enough, by themselves, to assess motor strategies used during movements. So, it’s necessary to find measure instruments that provide objectivity, supplement the assessments and, at the same time, solving the limitations that scales have. Biomechanical studies are examples of objective methods, in which several technologies can be used to collect information from the subjects. One kind of these studies is the kinematic movement analysis. By means of optoelectronics, inertial and electromagnetic technology, these studies provide objective information about the movement performed by the subjects during the execution of specific tasks. These systems provide large quantities of data without easy and intuitive interpretation. These data must necessarily be treated and reduced to a set of variables that, a priori, having a simpler interpretation for their use in the clinical practice. These were the main motivations of this research. The main objective was to propose a set of kinematic indices, or metrics that, objectively, assess the upper limb function and validate the proposed rates in populations with Spinal Cord Injury, for use as assessment tools in the clinical setting. This dissertation is framed within a research project: HYPER (Neurorobotic Devices for Functional Compensation and Rehabilitation of Motor Disorders, grant CSD2009- 00067 CONSOLIDER INGENIO 2010). Within this research project, research is conducted in relation to the biomechanical models development for determining the biomechanical requirements and movement patterns of the upper limb in healthy and people with Spinal Cord Injury. Moreover, research is conducted with respect to the proposed of new functional assessment instruments in the field of upper limb rehabilitation.