Tesis por compendio / [ES] La permitividad es una propiedad física de los materiales que describe su comportamiento en presencia de un campo electromagnético. Los sensores de microondas pueden desempeñar un papel esencial en las tareas de detección, supervisión o control de procesos, ya que algunos parámetros fisicoquímicos de los materiales producen cambios medibles en las propiedades dieléctricas. Además, la tecnología de calentamiento por microondas está adquiriendo una relevancia creciente para la transición ecológica y la descarbonización de los procesos industriales, y la permitividad es el parámetro esencial para el desarrollo exitoso de estos nuevos procesos. La permitividad depende de muchos factores, por lo que los métodos de medición de la permitividad deben adaptarse a las necesidades del material y del entorno de medición. El número de aplicaciones que requieren la monitorización o medida de las propiedades dieléctricas, las altas dependencias de esta magnitud bajo diferentes condiciones, y la necesidad de poner esta tecnología al alcance de un usuario más amplio y menos especializado, justifican el desarrollo de este trabajo. Esta tesis pretende desarrollar nuevos dispositivos para la monitorización y caracterización de dieléctricos adaptados a diferentes entornos, cubriendo un amplio rango de formatos, formas y propiedades de los materiales. Las dos primeras publicaciones incluidas en la tesis describen dos enfoques diferentes para abordar las mediciones de permitividad. El primer artículo describe un instrumento versátil, autónomo y fácil de usar para medir la permitividad de materiales dentro de tubos. El diseño de la cavidad logró una excelente sensibilidad, y el estudio de la red de acoplamiento permitió la caracterización de materiales de pérdidas bajas, moderadas y altas con una misma configuración. Este dispositivo incluye un reflectómetro vectorial portátil propio, lo que lo hace portátil y asequible. Las características del instrumento desarrollado permiten un uso sencillo por parte de personal no especializado y proporcionan versatilidad en muchas situaciones. La segunda publicación presenta el diseño específico de una sonda coaxial de extremo abierto con una mayor sensibilidad para determinar la permitividad de productos alimenticios de altas pérdidas en función de la temperatura a frecuencias de RF. Este artículo destaca la importancia de seleccionar la técnica de medición más adecuada, adaptada al entorno y a las particularidades del material, para la determinación apropiada de la permitividad. Los dos artículos siguientes describen el desarrollo y la utilización de un microscopio de microondas de campo cercano con resolución micrométrica para determinar mapas de permitividad de materiales planos heterogéneos a frecuencias de microondas. En ambos trabajos se describen los diferentes elementos que componen el instrumento del microscopio y las técnicas de análisis para determinar los valores de permitividad a partir de las medidas de los parámetros de la resonancia. En el primer trabajo se empleó por primera vez la tecnología de microondas en aplicaciones contra la falsificación, obteniendo la marca dieléctrica de la marca de agua de un billete. Además, este estudio demostró la capacidad de la energía de microondas para detectar marcas ocultas detrás de capas dieléctricas o metálicas, lo que abre nuevas posibilidades para el desarrollo de elementos de seguridad ópticamente opacos e imposibles de rastrear por medios ópticos. El segundo estudio demuestra la versatilidad de este sistema para determinar las propiedades dieléctricas de materiales planos heterogéneos midiendo la respuesta dieléctrica de especímenes de roca. Los métodos desarrollados en esta tesis aumentan la cartera de sistemas de caracterización dieléctrica y pueden ayudar a una amplia gama de sectores científicos e industriales en las tareas de monitorización y caracterización dieléctrica, haciendo estos trabajos más cómodos y accesibles. / [CA] La permitivitat és una propietat física dels materials que descriu el seu comportament en presència d'un camp electromagnètic. Els sensors de microones poden exercir un paper essencial en les tasques de detecció, supervisió o control de processos, ja que alguns paràmetres fisicoquímics dels materials produeixen canvis mesurables en les propietats dielèctriques. A més, la tecnologia de calfament per microones està adquirint una rellevància creixent per a la transició ecològica i la descarbonització dels processos industrials, i la permitivitat és el paràmetre essencial per al desenvolupament reeixit d'aquests nous processos. La permitivitat depén de molts factors i, per tant, els mètodes de mesurament de la permitivitat han d'adaptar-se a les necessitats del material i de l'entorn de mesurament. El nombre d'aplicacions que requereixen el monitoratge o mesura de les propietats dielèctriques, les altes dependències d'aquesta magnitud sota diferents condicions, i la necessitat de posar aquesta tecnologia a l'abast d'un usuari més ampli i menys especialitzat, justifiquen el desenvolupament d'aquest treball. Aquesta tesi pretén desenvolupar nous dispositius per al monitoratge i caracterització de dielèctrics adaptats a diferents entorns, cobrint un ampli rang de formats, formes i propietats dels materials. Les dues primeres publicacions incloses en la tesi descriuen dos enfocaments diferents per a abordar els mesuraments de permitivitat. El primer article descriu un instrument versàtil, autònom i fàcil d'usar per a mesurar la permitivitat de materials dins de tubs. El disseny de la cavitat va aconseguir una excel·lent sensibilitat, i l'estudi de la xarxa d'acoblament va permetre la caracterització de materials de pèrdues baixes, moderades i altes amb una mateixa configuració. Aquest dispositiu inclou un reflectòmetre vectorial portàtil propi, la qual cosa el fa portàtil i assequible. Les característiques de l'instrument desenvolupat permeten un ús senzill per part de personal no especialitzat i proporcionen versatilitat en moltes situacions. La segona publicació presenta el disseny específic de una sonda coaxial d'extrem obert amb una major sensibilitat per a determinar la permitivitat de productes alimentaris d'altes pèrdues en funció de la temperatura a freqüències de RF. Aquest article destaca la importància de seleccionar la tècnica de mesurament més adequat, adaptada a l'entorn i a les particularitats del material, per a la determinació apropiada de la permitivitat. Els dos articles següents descriuen el desenvolupament i la utilització d'un microscopi de microones de camp pròxim amb resolució micromètrica per a determinar mapes de permitivitat de materials plans heterogenis a freqüències de microones. En tots dos treballs es descriuen els diferents elements que componen l'instrument del microscopi i les tècniques d'anàlisis per a determinar els valors de permitivitat a partir de les mesures dels paràmetres de la ressonància. En el primer treball es va emprar per primera vegada la tecnologia de microones en aplicacions contra la falsificació, obtenint la marca dielèctrica de la marca d'aigua d'un bitllet. A més, aquest estudi va demostrar la capacitat de l'energia de microones per a detectar marques ocultes darrere de capes dielèctriques o metàl·liques, la qual cosa obri noves possibilitats per al desenvolupament d'elements de seguretat òpticament opacs i impossibles de rastrejar per mitjans òptics. El segon estudi demostra la versatilitat d'aquest sistema per a determinar les propietats dielèctriques de materials plans heterogenis mesurant la resposta dielèctrica d'espècimens de roca. Els mètodes desenvolupats en aquesta tesi augmenten la cartera de sistemes de caracterització dielèctrica i poden ajudar a una àmplia gamma de sectors científics i industrials en les tasques de monitoratge i caracterització dielèctrica, fent aquests treballs més còmodes i accessibles. / [EN] Permittivity is a physical property of materials describing their behavior in the presence of an electromagnetic field. Microwave sensors can play an essential role in detecting, monitoring, or process control tasks as some physicochemical parameters of materials produce measurable changes in dielectric properties. Besides, microwave heating technology is gaining increasing relevance for the ecological transition and decarbonization of industrial processes, and permittivity is the essential parameter for the successful development of these new processes. Permittivity depends on many factors and thus, permittivity measurement methods must be adapted to the needs of the material and the measurement environment. The number of applications that require the monitoring or measurement of dielectric properties, the high dependencies of this magnitude under different conditions, and the need to make this technology available to a broader and less specialized user justify the development of this work. This thesis aims to develop new devices for the monitoring and characterization of dielectrics adapted to different environments, covering a wide range of materials' formats, shapes, and properties. The first two publications included in the thesis describe two different approaches to address permittivity measurements. The first paper describes a versatile, stand-alone, and easy-to-use instrument for measuring the permittivity materials inside tubes. The design of the cavity achieved an excellent sensitivity, and the study of the coupling network allowed the characterization of low, moderate, and high-loss materials with the same setup. This device included an in-house portable vector reflectometer, making it portable and cost-affordable. The features of the developed instrument allow straightforward use by non-specialized personnel and provide versatility in many situations. The second publication presents a specific open-ended coaxial design with increased sensitivity to determine the permittivity of lossy food products as a function of temperature at RF frequencies. This paper highlight the relevance of selecting the most suitable measurement technique, adapted to the environment and particularities of the material, for the appropriate determination of permittivity. The following two papers describe the development and use of a near-field scanning microwave microscope with micrometric resolution to determine permittivity maps of heterogeneous planar materials at microwave frequencies. The different elements comprising the microscope instrument and the analysis techniques to determine permittivity values from the resonance measurements were described throughout both works. In the first paper, microwave technology was employed for the first time in anti-counterfeiting applications by obtaining the dielectric mark of a banknote watermark. Besides, this study showed the ability of microwave energy to detect hidden marks behind dielectric or metallic layers, opening new possibilities for developing optically opaque security features untraceable by optical means. The second study demonstrates the versatility of this system in determining the dielectric properties of heterogeneous planar materials by measuring the dielectric response of rock specimens. The methods developed in this thesis dissertation increase the portfolio of dielectric characterization systems and can help a wide range of scientific and industrial sectors in dielectric monitoring and characterization tasks, making these works more convenient and accessible. / Financial support through the grant reference BES-2016-077296 of the call Convocatoria de las ayudas para contratos predoctorales para la formación de doctores de 2016 by Ministerio de Economía y Competitividad (MINECO) and by European Social Funds (ESF) of European Union is also gratefully acknowledged / Gutiérrez Cano, JD. (2022). Microwave Dielectrometry Adapted to Environments [Tesis doctoral]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/186351 / TESIS / Compendio

Ce travail concerne l'imagerie micro-onde en vue d'application à l'imagerie biomédicale. Cette technique d'imagerie a pour objectif de retrouver la distribution des propriétés diélectriques internes (permittivité diélectrique et conductivité) d'un objet inconnu illuminé par une onde interrogatrice connue à partir des mesures du champ électrique dit diffracté résultant de leur interaction. Un tel problème constitue un problème dit inverse par opposition au problème direct associé qui consiste à calculer le champ diffracté, l'onde interrogatrice et l'objet étant alors connus.La résolution du problème inverse nécessite la construction préalable du modèle direct associé. Celui-ci est ici basé sur une représentation intégrale de domaine des champs électriques donnant naissance à deux équations intégrales couplées dont les contreparties discrètes sont obtenues à l'aide de la méthode des moments. En ce qui concerne le problème inverse, hormis le fait que les équations physiques qui interviennent dans sa modélisation directe le rendent non-linéaire, il est également mathématiquement mal posé au sens de Hadamard, ce qui signifie que les conditions d'existence, d'unicité et de stabilité de la solution ne sont pas simultanément garanties. La résolution d'un tel problème nécessite sa régularisation préalable qui consiste généralement en l'introduction d'information a priori sur la solution recherchée. Cette résolution est effectuée, ici, dans un cadre probabiliste bayésien où l'on introduit une connaissance a priori adaptée à l'objet sous test et qui consiste à considérer ce dernier comme étant composé d'un nombre fini de matériaux homogènes distribués dans des régions compactes. Cet information est introduite par le biais d'un modèle de « Gauss-Markov-Potts ». De plus, le calcul bayésien nous donne la distribution a posteriori de toutes les inconnues connaissant l'a priori et l'objet. On s'attache ensuite à déterminer les estimateurs a posteriori via des méthodes d'approximation variationnelles et à reconstruire ainsi l'image de l'objet recherché. Les principales contributions de ce travail sont d'ordre méthodologique et algorithmique. Elles sont illustrées par une application de l'imagerie micro-onde à la détection du cancer du sein. Cette dernière constitue en soi un point très important et original de la thèse. En effet, la détection du cancer su sein en imagerie micro-onde est une alternative très intéressante à la mammographie par rayons X, mais n'en est encore qu'à un stade exploratoire. / This work concerns the problem of microwave tomography for application to biomedical imaging. The aim is to retreive both permittivity and conductivity of an unknown object from measurements of the scattered field that results from its interaction with a known interrogating wave. Such a problem is said to be inverse opposed to the associated forward problem that consists in calculating the scattered field while the interrogating wave and the object are known. The resolution of the inverse problem requires the prior construction of the associated forward model. This latter is based on an integral representation of the electric field resulting in two coupled integral equations whose discrete counterparts are obtained by means of the method of moments.Regarding the inverse problem, in addition to the fact that the physical equations involved in the forward modeling make it nonlinear, it is also mathematically ill-posed in the sense of Hadamard, which means that the conditions of existence, uniqueness and stability of the solution are not simultaneously guaranteed. Hence, solving this problem requires its prior regularization which usually involves the introduction of a priori information on the sought solution. This resolution is done here in a Bayesian probabilistic framework where we introduced a priori knowledge appropriate to the sought object by considering it to be composed of a finite number of homogeneous materials distributed in compact and homogeneous regions. This information is introduced through a "Gauss-Markov-Potts" model. In addition, the Bayesian computation gives the posterior distribution of all the unknowns, knowing the a priori and the object. We proceed then to identify the posterior estimators via variational approximation methods and thereby to reconstruct the image of the desired object.The main contributions of this work are methodological and algorithmic. They are illustrated by an application of microwave imaging to breast cancer detection. The latter is in itself a very important and original aspect of the thesis. Indeed, the detection of breast cancer using microwave imaging is a very interesting alternative to X-ray mammography, but it is still at an exploratory stage.

This dissertation presents a contribution to quantitative microwave imaging for breast tumor detection. The study made in the frame of a joint supervision Ph.D. thesis between University Paris-SUD 11 (France) and Mälardalen University (Sweden), has been conducted through two experimental microwave imaging setups, the existing 2.45 GHz planar camera (France) and the multi-frequency flexible robotic system, (Sweden), under development. In this context a 2D scalar flexible numerical tool based on a Newton-Kantorovich (NK) scheme, has been developed. Quantitative microwave imaging is a three dimensional vectorial nonlinear inverse scattering problem, where the complex permittivity of an object is reconstructed from the measured scattered field, produced by the object. The NK scheme is used in order to deal with the nonlinearity and the ill-posed nature of this problem. A TM polarization and a two dimensional medium configuration have been considered in order to avoid its vectorial aspect. The solution is found iteratively by minimizing the square norm of the error with respect to the scattered field data. Consequently, the convergence of such iterative process requires, at least two conditions. First, an efficient calibration of the experimental system has to be associated to the minimization of model errors. Second, the mean square difference of the scattered field introduced by the presence of the tumor has to be large enough, according to the sensitivity of the imaging system. The existing planar camera associated to a flexible 2D scalar NK code, are considered as an experimental platform for quantitative breast imaging. A preliminary numerical study shows that the multi-view planar system is quite efficient for realistic breast tumor phantoms, according to its characteristics (frequency, planar geometry and water as a coupling medium), as long as realistic noisy data are considered. Furthermore, a multi-incidence planar system, more appropriate in term of antenna-array arrangement, is proposed and its concept is numerically validated. On the other hand, an experimental work which includes a new fluid-mixture for the realization of a narrow band cylindrical breast phantom, a deep investigation in the calibration process and model error minimization, is presented. This conducts to the first quantitative reconstruction of a realistic breast phantom by using multi-view data from the planar camera. Next, both the qualitative and quantitative reconstruction of 3D inclusions into the cylindrical breast phantom, by using data from all the retina, are shown and discussed. Finally, the extended work towards the flexible robotic system is presented. / A dissertation prepared through an international convention for a joint supervision thesis with Université Paris-SUD 11, France / Microwaves in biomedicine

This thesis presents the research results on the development of a microwave tomography imaging algorithm capable of reconstructing the dielectric properties of the unknown object. Our focus was on the theoretical aspects of the non-linear tomographic image reconstruction problem with particular emphasis on developing efficient numerical and non-linear optimization for solving the inverse scattering problem. A detailed description of a novel microwave tomography method based on frequency dependent finite difference time domain, a numerical method for solving Maxwell's equations and Genetic Algorithm (GA) as a global optimization technique is given. The proposed technique has the ability to deal with the heterogeneous and dispersive object with complex distribution of dielectric properties and to provide a quantitative image of permittivity and conductivity profile of the object. It is shown that the proposed technique is capable of using the multi-frequency, multi-view, and multi-incident planer techniques which provide useful information for the reconstruction of the dielectric properties profile and improve image quality. In addition, we show that when a-priori information about the object under test is known, it can be easily integrated with the inversion process. This provides realistic regularization of the solution and removes or reduces the possibility of non-true solutions. We further introduced application of the GA such as binary-coded GA, real-coded GA, hybrid binary and real coded GA, and neural-network/GA for solving the inverse scattering problem which improved the quality of the images as well as the conversion rate. The implications and possible advantages of each type of optimization are discussed, and synthetic inversion results are presented. The results showed that the proposed algorithm was capable of providing the quantitative images, although more research is still required to improve the image quality. In the proposed technique the computation time for solution convergence varies from a few hours to several days. Therefore, the parallel implementation of the algorithm was carried out to reduce the runtime. The proposed technique was evaluated for application in microwave breast cancer imaging as well as measurement data from university of Manitoba and Institut Frsenel's microwave tomography systems.

This thesis presents the research results on the development of a microwave tomography imaging algorithm capable of reconstructing the dielectric properties of the unknown object. Our focus was on the theoretical aspects of the non-linear tomographic image reconstruction problem with particular emphasis on developing efficient numerical and non-linear optimization for solving the inverse scattering problem. A detailed description of a novel microwave tomography method based on frequency dependent finite difference time domain, a numerical method for solving Maxwell's equations and Genetic Algorithm (GA) as a global optimization technique is given. The proposed technique has the ability to deal with the heterogeneous and dispersive object with complex distribution of dielectric properties and to provide a quantitative image of permittivity and conductivity profile of the object. It is shown that the proposed technique is capable of using the multi-frequency, multi-view, and multi-incident planer techniques which provide useful information for the reconstruction of the dielectric properties profile and improve image quality. In addition, we show that when a-priori information about the object under test is known, it can be easily integrated with the inversion process. This provides realistic regularization of the solution and removes or reduces the possibility of non-true solutions. We further introduced application of the GA such as binary-coded GA, real-coded GA, hybrid binary and real coded GA, and neural-network/GA for solving the inverse scattering problem which improved the quality of the images as well as the conversion rate. The implications and possible advantages of each type of optimization are discussed, and synthetic inversion results are presented. The results showed that the proposed algorithm was capable of providing the quantitative images, although more research is still required to improve the image quality. In the proposed technique the computation time for solution convergence varies from a few hours to several days. Therefore, the parallel implementation of the algorithm was carried out to reduce the runtime. The proposed technique was evaluated for application in microwave breast cancer imaging as well as measurement data from university of Manitoba and Institut Frsenel's microwave tomography systems.

No description available.

The emergence of Ultra-wideband (UWB) technology application has yielded tremendous and vital impacts in the field of microwave wireless communications. These applications include military radar imaging, security screening, and tumour detection, especially for early detection of breast cancer. These indicators have stimulated and inspired many researchers to make the best use of this promising technology. UWB technology challenges such as antenna design, the problem of imaging reconstruction techniques, challenges of severe signal attenuation and dispersion in high loss material. Others are lengthy computational time demand and large computer memory requirements are prevalent constraints that need to be tackled especially in a large scale and complex computational electromagnetic analysis. In this regard, it is necessary to find out recently developed optimisation techniques that can provide solutions to these problems. In this thesis, designing, optimisation, development, measurement, and analysis of UWB antennas for near-field microwave imaging applications are considered. This technology emulates the same concept of surface penetrating radar operating in various forms of the UWB spectrum. The initial design of UWB monopole antennas, including T-slots, rectangular slots, and hexagonal slots on a circular radiating patch, was explicitly implemented for medical imaging applications to cover the UWB frequency ranging from 3.1 GHz to 10.6 GHz. Based on this concept, a new bow-tie and Vivaldi UWB antennas were designed for a through-the-wall imaging application. The new antennas were designed to cover a spectrum on a lower frequency ranging from 1 GHz - 4 GHz to ease the high wall losses that will be encountered when using a higher frequency range and to guarantee deeper penetration of the electromagnetic wave. Finally, both simulated and calculated results of the designed, optimised antennas indicate excellent agreement with improved performance in terms of return loss, gain, radiation pattern, and fidelity over the entire UWB frequency. These breakthroughs provided reduced computational time and computer memory requirement for useful, efficient, reliable, and compact sensors for imaging applications, including security and breast cancer detection, thereby saving more lives. / Tertiary Education Trust Fund (TET Fund) Supported by the Nigerian Defence Academy (NDA)

Les équations de Maxwell en régime harmonique comportent plusieurs difficultés lorsque la fréquence est élevée. On peut notamment citer le fait que leur formulation variationnelle n’est pas définie positive et l’effet de pollution qui oblige à utiliser des maillages très fins, ce qui rend problématique la construction de solveurs itératifs. Nous proposons une stratégie de solution précise et rapide, qui associe une discrétisation par des éléments finis d’ordre élevé à des préconditionneurs de type décomposition de domaine. La conception, l’implémentation et l’analyse des deux méthodes sont assez difficiles pour les équations de Maxwell. Les éléments finis adaptés à l’approximation du champ électrique sont les éléments finis H(rot)-conformes ou d’arête. Ici nous revisitons les degrés de liberté classiques définis par Nédélec, afin d’obtenir une expression plus pratique par rapport aux fonctions de base d’ordre élevé choisies. De plus, nous proposons une technique pour restaurer la dualité entre les fonctions de base et les degrés de liberté. Nous décrivons explicitement une stratégie d’implémentation qui a été appliquée dans le langage open source FreeFem++. Ensuite, nous nous concentrons sur les techniques de préconditionnement du système linéaire résultant de la discrétisation par éléments finis. Nous commençons par la validation numérique d’un préconditionneur à un niveau, de type Schwarz avec recouvrement, avec des conditions de transmission d’impédance entre les sous-domaines. Enfin, nous étudions comment des préconditionneurs à deux niveaux, analysés récemment pour l’équation de Helmholtz, se comportent pour les équations de Maxwell, des points de vue théorique et numérique. Nous appliquons ces méthodes à un problème à grande échelle qui découle de la modélisation d’un système d’imagerie micro-onde, pour la détection et le suivi des accidents vasculaires cérébraux. La précision et la vitesse de calcul sont essentielles dans cette application. / The time-harmonic Maxwell’s equations present several difficulties when the frequency is large, such as the sign-indefiniteness of the variational formulation, the pollution effect and the problematic construction of iterative solvers. We propose a precise and efficient solution strategy that couples high order finite element (FE) discretizations with domain decomposition (DD) preconditioners. High order FE methods make it possible for a given precision to reduce significantly the number of unknowns of the linear system to be solved. DD methods are then used as preconditioners for the iterative solver: the problem defined on the global domain is decomposed into smaller problems on subdomains, which can be solved concurrently and using robust direct solvers. The design, implementation and analysis of both these methods are particularly challenging for Maxwell’s equations. FEs suited for the approximation of the electric field are the curl-conforming or edge finite elements. Here, we revisit the classical degrees of freedom (dofs) defined by Nédélec to obtain a new more friendly expression in terms of the chosen high order basis functions. Moreover, we propose a general technique to restore duality between dofs and basis functions. We explicitly describe an implementation strategy, which we embedded in the open source language FreeFem++. Then we focus on the preconditioning of the linear system, starting with a numerical validation of a one-level overlapping Schwarz preconditioner, with impedance transmission conditions between subdomains. Finally, we investigate how two-level preconditioners recently analyzed for the Helmholtz equation work in the Maxwell case, both from the theoretical and numerical points of view. We apply these methods to the large scale problem arising from the modeling of a microwave imaging system, for the detection and monitoring of brain strokes. In this application accuracy and computing speed are indeed of paramount importance.