The focus of the thesis is on the development of a few stochastic search schemes for inverse problems and their applications in medical imaging. After the introduction in Chapter 1 that motivates and puts in perspective the work done in later chapters, the main body of the thesis may be viewed as composed of two parts: while the first part concerns the development of stochastic search algorithms for inverse problems (Chapters 2 and 3), the second part elucidates on the applicability of search schemes to inverse problems of interest in tomographic imaging (Chapters 4 and 5). The chapter-wise contributions of the thesis are summarized below. Chapter 2 proposes a Monte Carlo stochastic filtering algorithm for the recursive estimation of diffusive processes in linear/nonlinear dynamical systems that modulate the instantaneous rates of Poisson measurements. The same scheme is applicable when the set of partial and noisy measurements are of a diffusive nature. A key aspect of our development here is the filter-update scheme, derived from an ensemble approximation of the time-discretized nonlinear Kushner Stratonovich equation, that is modified to account for Poisson-type measurements. Specifically, the additive update through a gain-like correction term, empirically approximated from the innovation integral in the filtering equation, eliminates the problem of particle collapse encountered in many conventional particle filters that adopt weight-based updates. Through a few numerical demonstrations, the versatility of the proposed filter is brought forth, first with application to filtering problems with diffusive or Poisson-type measurements and then to an automatic control problem wherein the exterminations of the associated cost functional is achieved simply by an appropriate redefinition of the innovation process. The aim of one of the numerical examples in Chapter 2 is to minimize the structural response of a duffing oscillator under external forcing. We pose this problem of active control within a filtering framework wherein the goal is to estimate the control force that minimizes an appropriately chosen performance index. We employ the proposed filtering algorithm to estimate the control force and the oscillator displacements and velocities that are minimized as a result of the application of the control force. While Fig. 1 shows the time histories of the uncontrolled and controlled displacements and velocities of the oscillator, a plot of the estimated control force against the external force applied is given in Fig. 2. (a) (b) Fig. 1. A plot of the time histories of the uncontrolled and controlled (a) displacements and (b) velocities. Fig. 2. A plot of the time histories of the external force and the estimated control force Stochastic filtering, despite its numerous applications, amounts only to a directed search and is best suited for inverse problems and optimization problems with unimodal solutions. In view of general optimization problems involving multimodal objective functions with a priori unknown optima, filtering, similar to a regularized Gauss-Newton (GN) method, may only serve as a local (or quasi-local) search. In Chapter 3, therefore, we propose a stochastic search (SS) scheme that whilst maintaining the basic structure of a filtered martingale problem, also incorporates randomization techniques such as scrambling and blending, which are meant to aid in avoiding the so-called local traps. The key contribution of this chapter is the introduction of yet another technique, termed as the state space splitting (3S) which is a paradigm based on the principle of divide-and-conquer. The 3S technique, incorporated within the optimization scheme, offers a better assimilation of measurements and is found to outperform filtering in the context of quantitative photoacoustic tomography (PAT) to recover the optical absorption field from sparsely available PAT data using a bare minimum ensemble. Other than that, the proposed scheme is numerically shown to be better than or at least as good as CMA-ES (covariance matrix adaptation evolution strategies), one of the best performing optimization schemes in minimizing a set of benchmark functions. Table 1 gives the comparative performance of the proposed scheme and CMA-ES in minimizing a set of 40-dimensional functions (F1-F20), all of which have their global minimum at 0, using an ensemble size of 20. Here, 10 5 is the tolerance limit to be attained for the objective function value and MAX is the maximum number of iterations permissible to the optimization scheme to arrive at the global minimum. Table 1. Performance of the SS scheme and Chapter 4 gathers numerical and experimental evidence to support our conjecture in the previous chapters that even a quasi-local search (afforded, for instance, by the filtered martingale problem) is generally superior to a regularized GN method in solving inverse problems. Specifically, in this chapter, we solve the inverse problems of ultrasound modulated optical tomography (UMOT) and diffraction tomography (DT). In UMOT, we perform a spatially resolved recovery of the mean-squared displacements, p r of the scattering centres in a diffusive object by measuring the modulation depth in the decaying autocorrelation of the incident coherent light. This modulation is induced by the input ultrasound focussed to a specific region referred to as the region of interest (ROI) in the object. Since the ultrasound-induced displacements are a measure of the material stiffness, in principle, UMOT can be applied for the early diagnosis of cancer in soft tissues. In DT, on the other hand, we recover the real refractive index distribution, n r of an optical fiber from experimentally acquired transmitted intensity of light traversing through it. In both cases, the filtering step encoded within the optimization scheme recovers superior reconstruction images vis-à-vis the GN method in terms of quantitative accuracies. Fig. 3 gives a comparative cross-sectional plot through the centre of the reference and reconstructed p r images in UMOT when the ROI is at the centre of the object. Here, the anomaly is presented as an increase in the displacements and is at the centre of the ROI. Fig. 4 shows the comparative cross-sectional plot of the reference and reconstructed refractive index distributions, n r of the optical fiber in DT. Fig. 3. Cross-sectional plot through the center of the reference and reconstructed p r images. Fig. 4. Cross-sectional plot through the center of the reference and reconstructed n r distributions. In Chapter 5, the SS scheme is applied to our main application, viz. photoacoustic tomography (PAT) for the recovery of the absorbed energy map, the optical absorption coefficient and the chromophore concentrations in soft tissues. Nevertheless, the main contribution of this chapter is to provide a single-step method for the recovery of the optical absorption field from both simulated and experimental time-domain PAT data. A single-step direct recovery is shown to yield better reconstruction than the generally adopted two-step method for quantitative PAT. Such a quantitative reconstruction maybe converted to a functional image through a linear map. Alternatively, one could also perform a one-step recovery of the chromophore concentrations from the boundary pressure, as shown using simulated data in this chapter. Being a Monte Carlo scheme, the SS scheme is highly parallelizable and the availability of such a machine-ready inversion scheme should finally enable PAT to emerge as a clinical tool in medical diagnostics. Given below in Fig. 5 is a comparison of the optical absorption map of the Shepp-Logan phantom with the reconstruction obtained as a result of a direct (1-step) recovery. Fig. 5. The (a) exact and (b) reconstructed optical absorption maps of the Shepp-Logan phantom. The x- and y-axes are in m and the colormap is in mm-1. Chapter 6 concludes the work with a brief summary of the results obtained and suggestions for future exploration of some of the schemes and applications described in this thesis.

Diffuse optical tomography is a promising imaging modality that provides functional information of the soft biological tissues, with prime imaging applications including breast and brain tissue in-vivo. This modality uses near infrared light( 600nm-900nm) as the probing media, giving an advantage of being non-ionizing imaging modality. The image reconstruction problem in diffuse optical tomography is typically posed as a least-squares problem that minimizes the difference between experimental and modeled data with respect to optical properties. This problem is non-linear and ill-posed, due to multiple scattering of the near infrared light in the biological tissues, leading to infinitely many possible solutions. The traditional methods employ a regularization term to constrain the solution space as well as stabilize the solution, with Tikhonov type regularization being the most popular one. The choice of this regularization parameter, also known as hyper parameter, dictates the reconstructed optical image quality and is typically chosen empirically or based on prior experience. In this thesis, a simple back projection type image reconstruction algorithm is taken up, as they are known to provide computationally efficient solution compared to regularized solutions. In these algorithms, the hyper parameter becomes equivalent to filter factor and choice of which is typically dependent on the sampling interval used for acquiring data in each projection and the angle of projection. Determining these parameters for diffuse optical tomography is not so straightforward and requires usage of advanced computational models. In this thesis, a computationally efficient simplex Method based optimization scheme for automatically finding this filter factor is proposed and its performances is evaluated through numerical and experimental phantom data. As back projection type algorithms are approximations to traditional methods, the absolute quantitative accuracy of the reconstructed optical properties is poor .In scenarios, like dynamic imaging, where the emphasis is on recovering relative difference in the optical properties, these algorithms are effective in comparison to traditional methods, with an added advantage being highly computationally efficient. In the second part of this thesis, this hyper parameter choice for traditional Tikhonov type regularization is attempted with the help of Least-Squares QR-decompisition (LSQR) method. The established techniques that enable the automated choice of hyper parameters include Generalized Cross-Validation(GCV) and regularized Minimal Residual Method(MRM), where both of them come with higher over head of computation time, making it prohibitive to be used in the real-time. The proposed LSQR algorithm uses bidiagonalization of the system matrix to result in less computational cost. The proposed LSQR-based algorithm for automated choice of hyper parameter is compared with MRM methods and is proven to be computationally optimal technique through numerical and experimental phantom cases.

L'objectif de cette thèse est l'élaboration et l'application de traitements d'images pour permettre une étude objective et fiable des sinus de Valsalva, importantes cavités de la base de l'aorte. Les méthodes proposées s'appliquent aux séquences ciné-IRM et aux examens de scanner sans qu'il n'y ait à modifier le paramétrage entre deux examens. Pour cela, nous avons d'abord étudié la morphologie de cette zone anatomique puis détaillé les différentes propriétés communes à toutes les images de sinus. Ceux-ci font en l'occurrence partie des principaux organes clairs et peu mobiles. Nous avons donc développé un algorithme qui détecte ces éléments et caractérise chacun d'entre eux par une trajectoire unique. Divers outils de morphologie mathématique ont été utilisés à cette occasion, tout comme pour l'extraction du contour des sinus dans chaque image. L'étape de segmentation repose elle sur la reconstruction géodésique, qui s'avère plus efficace et surtout plus robuste que l'usage de contours actifs usuels. L'intérieur des sinus forme un domaine simplement connexe et étoilé. Grâce à ce postulat, nous avons conçu une nouvelle reconstruction, nommée transformée en aurore, qui limite la propagation des intensités aux supports radiaux et présente les résultats dans un repère polaire pour une meilleure lecture des contours.Les points caractéristiques des sinus ont également été détectés, par étude de rayons et détermination de points dominants. Ces points fournissent les éléments nécessaires à une mesure automatique des sinus, mesure cohérente avec les mesures actuellement réalisées manuellement et les variations intra et inter-observateurs de celles-ci. D'autres outils sont enfin esquissés pour modéliser le contour par coniques, classer les images d'examens cinétiques en fonction du moment du cycle et suivre le mouvement des valves dans ces mêmes examens.L'ensemble de ces travaux ont amené à la réalisation d'un logiciel d'aide au diagnostic qui intègre nos méthodes et dont l'interface est également présentée dans le présent mémoire. / This Phd thesis deals with the design and the use of image processing tools in order to allow a reliable and objective study of the sinuses of Valsalva which are important cavities of the aortic root. The proposed methods can be applied on cine-MR sequences and CT examinations without any change in the settings between two examinations.Firstly, we studied the morphology of this anatomical area and its constant properties in all images of the dataset. Sinuses are one of the main bright organs with limited movements. Hence a new algorithm has been designed. It detects and characterizes each bright organ by a single trajectory. Various tools of mathematical morphology are used for this step, as for the extraction of the contour of the sinuses in each image.The segmentation step is based on the geodesic reconstruction, which is more effective and more robust than the usual active contours. The shape depicting the sinuses is simply connected and a star domain. With this assumption, a new reconstruction is proposed, called the Aurora transform. This transform limits the spread of intensities only on the radial lines and shows its results in a polar space for a better reading of edges.The relevant points of the sinuses are also detected by a study of radii and the determination of dominant points along edges. An automatic measurement of the sinuses is deduced from these points. The values are very close to the manual measures currently done according to the intra-and inter-observer variations.Some other tools are finally outlined. They includes the modeling of edges by conics, the image classification depending on the time of the cycle in sequences and the tracking of the aortic valves in these examinations.This work led to the devlopement of a diagnostic aid software based on our methods. Its interface is also presented herein.

Un acier austénitique stabilisé au titane, le 15-15Ti AIM1, a été choisi à l'état écroui comme matériau de référence des gaines de combustible du premier coeur d'ASTRID (prototype de Réacteur à Neutrons Rapides (RNR) refroidi au sodium). Cette étude contribue à la compréhension de l'évolution microstructurale sous irradiation de l'AIM1 à forte dose (>100 dpa) et en particulier des mécanismes de gonflement. Des campagnes d'irradiations aux ions de l'AIM1 et de son précurseur le 15-15Ti D4 (AIM1 sans phosphore), ont été menées sur l'installation Jannus-Saclay. Ces irradiations ont été réalisées jusqu'à une dose de 150 dpa en simple faisceau Fe2+ et 120 dpa en double faisceaux Fe2+ et He+ entre 550 et 630°C pour étudier les effets de l'hélium. En parallèle, des recuits thermiques à 650°C de durées comparables aux temps d'irradiation (<100h) ont été réalisés pour séparer les effets de la température et de l'irradiation. Les microstructures et les défauts d'irradiation ont été caractérisés principalement au microscope électronique à transmission (MET) et à la sonde atomique tomographique (SAT). Pendant les recuits thermiques à 650°C, une précipitation rapide de carbures de titane nanométriques sur les dislocations est observée. Une faible densité d'amas enrichis en phosphore (germes de phosphures) a également été détectée. Après irradiation aux ions, la microstructure de l'AIM1 et du 15-15Ti fait apparaître une population dense de boucles fautées de Frank reparties de manière homogène et qui évolue peu avec la dose (entre 45 et 150 dpa). La précipitation est constituée principalement de carbures de titane nanométriques, de phosphures (dans l'AIM1) et de carbures de chrome. La précipitation de phosphures dans l'AIM1 apparait accélérée par l'irradiation. Une ségrégation du Ni et du Si sur les dislocations est aussi mise en évidence. Les irradiations en simple faisceau même à 150 dpa créent une faible densité de cavités réparties de façon hétérogène dans les grains. Il a été montré que l'implantation simultanée d'hélium à 1 appm/dpa conduit à une densité de cavités nettement plus élevée. Dans ce cas, une association entre les cavités et les nanoprécipités (TiC et phosphures) est observée. Enfin une première comparaison entre les irradiations aux ions et aux neutrons sur le 15-15Ti D4 souligne de notables différences dans l'évolution de la précipitation et les mécanismes de formation des cavités. Un modèle de dynamique d'amas avec le code Crescendo permet de modéliser la formation des boucles de Frank, des cavités et l'évolution du réseau de dislocations et prend en compte la production d'hélium. Les paramètres du modèle ont été ajustés pour reproduire les données expérimentales des irradiations en simple faisceau à 630°C. L'extrapolation du modèle illustre le décalage du pic de gonflement vers les basses températures quand le taux de dommage diminue. Le modèle prenant en compte la présence de l'hélium reproduit l'augmentation de la densité de cavités observée en double faisceaux Fe-He / A cold-worked titanium stabilized austenitic steel, named 15-15Ti AIM1, is the reference material for fuel cladding to be used in the _rst core of ASTRID (prototype of Sodium cooled Fast neutron Reactor -SFR). This study contributes to the understanding of the microstructural evolution under high dose irradiation of AIM1 (> 100 dpa) and especially swelling mechanisms. Several ion irradiations of AIM1 and its precursor 15-15Ti D4 (AIM1 without phosphorus), were done at Jannus-Saclay facility. These irradiations were performed up to 150 dpa in single beam (Fe 2+) and up to 120 dpa in dual beams (Fe 2+ and He +) at a temperature set between 550 and 630 ° C in order to study the helium e_ects. Besides, thermal annealing at 650 ° Cequivalent to irradiation time (<100h) was carried out to separate the effects of temperature and irradiation. The microstructures and the irradiation-induced defects were characterized mainly by the transmission electron microscopy (TEM) and tomographic atom probe (SAT). During thermal annealing at 650 ° C, rapid precipitation of nanometric titanium carbides over dislocations was observed. A low density of phosphorus-enriched clusters (phosphide nucleation) was also detected. After irradiation with ions, the microstructure of AIM1 and 15-15Ti revealed high density of Frank faulted-loops distributed homogeneously and which didn'tevolve with the irradiation dose (between 45 and 150 dpa). The precipitation of nanometric titanium carbides, phosphides (in AIM1) and chromium carbides was observed. Precipitation of phosphides in AIM1 is accelerated by irradiation. Irradiation_induced segregation of Ni and Si on dislocations has also been highlighted. Single-beam irradiations even at 150 dpa show very low cavities density distributed heterogeneously in the grains. It is shown that the simultaneous injection of 1 appm / dpa helium leads to much higher cavity density. In this case, cavities are attached to nanoprecipitates (TiC and phosphides). Finally, a comparison between ion and neutron irradiation on 15-15Ti D4 highlighted significant differences in the evolution of precipitation and cavity formation mechanisms. A cluster dynamics model with the Crescendo code was used to simulate the formation of Frank loops, cavities and the evolution of the dislocation network, taking into account the helium production. The model parameters were adjusted to reproduce the experimental single beam irradiation data at 630°C. The extrapolation of the model shows the displacement of the swelling peak at low temperatures as the rate of damage decreases. Taking into account the presence of Helium, the model reproduces the increase of cavity density observed in double Fe-He beams.

The dissertation deals with the image processing in digital holographic microscopy and X-ray computed tomography. The focus of the work lies in the proposal of data processing techniques to meet the needs of the biological experiments. Transmitted light holographic microscopy is particularly used for quantitative phase imaging of transparent microscopic objects such as living cells. The phase images are affected by the phase aberrations that make the analysis particularly difficult. Here, we present a novel algorithm for dynamical processing of living cells phase images in a time-lapse sequence. The algorithm compensates for the deformation of a phase image using weighted least squares surface fitting. Moreover, it identifies and segments the individual cells in the phase image. This property of the algorithm is important for real-time cell quantitative phase imaging and instantaneous control of the course of the experiment. The efficiency of the propounded algorithm is demonstrated on images of rat fibrosarcoma cells using an off-axis holographic microscope. High resolution X-ray computed tomography is increasingly used technique for the study of the small rodent bones micro-structure. In this part of the work, the trabecular and cortical bone morphology is assessed in the distal half of rat femur. We developed new method for mapping the cortical position and dimensions from a central longitudinal axis with one degree angular resolution. This method was used to examine differences between experimental groups. The bone position in tomographic slices is aligned before the mapping using the propound standardization procedure. The activity of remodelling process of the long bone is studied on the system of cortical canals.

<p dir="ltr">This thesis explores the thermodynamics and mechanics of reaction-diffusion interfaces in solid materials, focusing on configurational forces for bulks and surfaces, which are essential in understanding phenomena like electromigration, phase separation, and void evolution. The work is divided into four themes: bulk and surface configurational mechanics, electromigration in solder joints, and solid mixture theory. The thesis develops theories based on continuum mechanics and configurational forces, deriving Eshelby stress tensors and balance laws for interfaces. Experimental work on electromigration in SnBi solder joints is used to validate the theory. The research contributes to advancing the understanding of solid-state diffusion and phase evolution in engineering materials.</p>

[ES] La tomografía por difracción surge para mejorar las técnicas de imagen al considerar la naturaleza ondulatoria de la luz. Mientras que los primeros sistemas de imagen médica se basaban únicamente en fuentes sin difracción, este enfoque consigue mejorar la reconstrucción del índice de refracción de los objetos, lo que permite, por ejemplo, el estudio de estructuras subcelulares. Del mismo modo, la demanda de redes de telecomunicaciones cada vez más rápidas y seguras ha propiciado la aparición de la fotónica. Hace dos décadas, la combinación de estos dos campos dio lugar a los primeros sistemas de tomografía por difracción óptica (ODT), los cuáles han evolucionado rápidamente durante este siglo. En esta tesis, presentamos dos nuevas aplicaciones de la ODT. La primera está relacionada con el concepto del microscopio tomográfico de fase (TPM), una versión de la ODT que permite el estudio de células aisladas, con muchas aplicaciones biomédicas, como el diagnóstico y la prognosis del cáncer. Sin embargo, los sistemas TPM actuales son caros, pesados y complejos. Para resolver estos problemas, proponemos el concepto de TPM en chip. Con este fin, diseñamos una hoja de ruta hacia el primer dispositivo tomográfico integrado en el marco de la tecnología lab-on-a-chip (LoC), y desarrollamos los primeros pasos para ello: 1) Hasta ahora, sólo se han utilizado detectores planos para obtener los mapas de índice de refracción de los objetos estudiados en TPM, basados en la detección del campo difractado hacia delante. Sin embargo, los principios físicos fundamentales indican que medir también el campo difractado hacia detrás debería mejorar la resolución de las imágenes. Además, un detector plano no es la configuración óptima para el TPM en chip. En esta línea, hemos explorado la posibilidad de usar detectores circulares en este escenario, como una técnica más adecuada para las configuraciones en chip, demostrando al mismo tiempo que este enfoque proporciona una mejor resolución que el lineal. 2) Proponemos un esquema de TPM en chip basado en el uso de nanoantenas dieléctricas como fuente de luz y píxeles detectores ODT, y caracterizamos experimentalmente su comportamiento mediante microscopía óptica de campo cercano. En cuanto a la segunda aplicación, estudiamos el potencial de la ODT como nuevo paradigma en la detección de capas de invisibilidad realistas, una de las aplicaciones más importantes de los metamateriales. Hasta ahora, el scattering cross section (SCS) se ha utilizado como modelo de referencia para diseñar y observar la eficacia de estos dispositivos para ocultar objetos. En nuestro estudio, demostramos que la ODT puede detectar las capas de invisibilidad prácticas con una sensibilidad superior a la que ofrece el SCS, incluso a las frecuencias de trabajo óptimas. Además, es posible obtener una imagen representativa del tamaño y la forma de la capa, revelando claramente su existencia. Finalmente, se discuten las conclusiones extraídas de los resultados obtenidos. Además, se detallan las futuras líneas de trabajo para abordar los retos que no se han completado en esta tesis doctoral. / [CA] La tomografia per difracció sorgeix per millorar les tècniques d'imatge anteriors en considerar la naturalesa ondulatòria de la llum. Mentre que els primers sistemes d'imatge mèdica es basaven únicament en fonts sense difracció, aquest enfocament aconsegueix millorar la reconstrucció de l'índex de refracció dels objectes, la qual cosa permet, per exemple, l'estudi d'estructures subcelulars. De la mateixa manera, la demanda de xarxes de telecomunicacions cada vegada més ràpides i segures ha propiciat l'aparició de la fotònica. Fa dues dècades, la combinació d'aquests dos camps va portar als primers sistemes de tomografia per difracció òptica (ODT), els quals han evolucionat ràpidament durant aquest segle. En aquesta tesi, presentem dues noves aplicacions de la ODT. La primera està relacionada amb el concepte del microscopi tomogràfic de fase (TPM), una versió de la ODT que permet l'estudi de cèl·lules aïllades, amb moltes aplicacions en biomedicina, com el diagnòstic i prognosi del càncer. No obstant això, els sistemes TPM actuals són cars, pesats i complexos. Per resoldre aquests problemes, proposem el concepte de TPM en xip. Per fer-ho, dissenyem un full de ruta cap al primer dispositiu tomogràfic integrat en el marc de la tecnologia lab-on-a-chip (LoC), i desenvolupem els primers passos a aquest efecte: 1) Fins ara, només s'han utilitzat detectors plans per a obtindre els mapes d'índex de refracció dels objectes estudiats en TPM, basats en la detecció del camp difractat cap avant. No obstant això, els principis físics fonamentals indiquen que mesurar també el camp difractat cap endarrere hauria de millorar la resolució de les imatges. A més, un detector pla no és la configuració òptima per al TPM en xip. En aquesta línia, hem explorat la possibilitat d'usar detectors circulars en aquest escenari, com una tècnica més adequada per a les configuracions en xip, demostrant al mateix temps que aquest enfocament proporciona una millor resolució que el lineal. 2) Proposem un esquema de TPM en xip basat en l'ús de nanoantenes dielèctriques com a font de llum i píxels detectors ODT, i caracteritzem experimentalment el seu comportament en camp pròxim mitjançant microscòpia òptica de camp pròxim. Pel que fa a la segona aplicació, estudiem el potencial de la ODT com a nou paradigma en la detecció de capes d'invisibilitat realistes, una de les aplicacions més importants dels metamaterials. Fins ara, el scattering cross section (SCS) s'ha utilitzat com a model de referència per a dissenyar i observar l'eficàcia d'aquests dispositius per a ocultar objectes. En el nostre estudi, vam demostrar que la ODT pot detectar les capes d'invisibilitat pràctiques amb una sensibilitat superior a la que ofereix el SCS, fins i tot a les freqüències de treball òptimes. A més, és possible obtindre una imatge representativa de la grandària i la forma de la capa, revelant clarament la seua existència. Finalment, es discuteixen les conclusions extretes dels resultats obtinguts i es detallen les futures línies de treball per a abordar els reptes que no s'han completat en aquesta tesi doctoral. / [EN] Diffraction Tomography arises to improve previous imaging techniques by considering the wave nature of light. Whereas the first medical imaging systems relied only on non-diffracting sources, this approach results in an enhanced reconstruction of the object's refractive index distribution, allowing, for example, the study of subcellular structures. Likewise, the demand for increasingly faster and secure telecommunication networks led to the advent of photonics. Two decades ago, the combination of these two fields gave rise to the first optical diffraction tomography (ODT) systems, which have rapidly evolved during this century. In this thesis, we present two novel applications of ODT. The first one is related to the concept of tomographic phase microscopy (TPM), a version of ODT that enables the study of isolated cells, with many applications in biomedicine, such as the diagnosis and prognosis of cancer. Nevertheless, current TPM systems are expensive, heavy, and cumbersome. To solve these issues we propose the concept of on-chip TPM. For this purpose, we design a roadmap towards the first integrated tomographic device in the frame of lab-on-a-chip (LoC) technology and develop the first steps to this end: 1) Until now, only flat detectors have been used to obtain the refractive index maps of the objects studied in TPM, based on the detection of the forward scattering. However, fundamental physical principles indicate that measuring also the backscattered field should improve the resolution of the images. Moreover, a flat detector is not the optimal configuration for on-chip TPM. In this vein, we have explored the possibility of using circular detectors in this scenario as a more suitable technique for on-chip configurations, demonstrating at the same time that this approach provides a better resolution than the linear one. 2) We propose a TPM on-chip scheme based on the use of dielectric nanoantennas as the ODT light source and detector pixels, and experimentally characterize their near-field behavior via scanning near-field optical microscopy. As for the second application, we study the potential of ODT as a new paradigm in the detection of realistic invisibility cloaks, one of the most important applications of metamaterials. Up to now, the scattering cross section (SCS) has been used as the gold standard to design and observe the effectiveness of these devices in hiding objects. In our study, we show that ODT can detect practical invisibility cloaks with a higher sensitivity than that offered by the SCS, even at the optimal working frequencies. Moreover, it is possible to obtain an image depicting the size and shape of the cloak, clearly revealing their existence. Finally, the conclusions drawn from the obtained results are discussed. In addition, future lines of action to address the challenges that have not been completed in this doctoral thesis are detailed. / Díaz Fernández, FJ. (2021). Novel Applications of Optical Diffraction Tomography: On-chip Microscopy and Detection of Invisibility Cloaks [Tesis doctoral]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/180125

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