<p>The advent of resonant metamaterials with strongly dispersive behavior allowed scientists to design new electromagnetic devices -- including (but not limited to) absorbers, antennas, lenses, holograms, and arguably the most well-known of them all, invisibility cloaks -- exhibiting properties that would otherwise be difficult to obtain. At the heart of these breakthrough designs is our ability to model the behavior of individual metamaterial elements as Lorentzian dipoles, and -- in applications that call for it -- collectively model an entire array of such elements as a homogenous medium with effective electromagnetic properties retrieved from measurements or simulations. </p><p>Of particular interest in the context of this dissertation is a certain type of metamaterials elements which -- while composed entirely of essentially non-magnetic materials -- respond to a magnetic field, can be modeled as magnetic dipoles, and are able to form a material with effective magnetic response. This thesis describes how such ``magnetic metamaterials'' have been utilized by the author when designing devices for applications in wireless power transfer (WPT) and computational imaging. For the former, I discuss in the thesis a metamaterial implementation of a magnetic `superlens' for wireless power transfer enhancements, and a magnetic reflector for near field shielding. For the latter I detail how we model the imaging capabilities of a recently-introduced class of dispersive metamaterial-based leaky apertures that produce pseudo-random measurement modes, and demonstration of novel Lorentzian-constrained holograms able to tailor their radiation patterns. </p><p>To design a magnetic superlens for WPT enhancements, we first demonstrate how an array comprising resonant metamaterial elements can act as an effective medium with negative permeability ($\mu$) and enhance near-field transmission of quasi-static non-resonant coil antennas. We implement a new technique to retrieve all diagonal components of our superlens' permeability, including its normal component, which standard techniques cannot retrieve. We study the effect of different components of the $\mu$ tensor on field enhancements using analytical solutions as well as 2D rotationally-symmetric full-wave simulations which approximate the lens as a disc of equal diameter, enabling highly efficient axisymmetric description of the problem. Our studies indicate enhancements are strongest when all three diagonal components of Re$(\mu)$ are negative, which we attribute to the excitation of surface waves.</p><p>The ability to retrieve permeability's normal component, awarded to us with the implementation of the aforementioned retrieval technique, directly enabled the design of a near field magnetic shield, which -- in contrast to the tripple-negative superlens -- relies on the normal component of $\mu$ assuming values near zero. The thesis discusses the theory behind this phenomenon and explains why such an anisotropic slab is capable of reflecting magnetic fields with component of their wave vector parallel to the slab's surface (fields which contain significant portions of the energy transferred in WPT systems with dipole-like coils). Furthermore, the dispersive nature of the resonant metamaterials used to realize the shield grants us the ability to block certain frequencies while allowing the transmission of other, which can be particularly useful in certain applications; conventional materials used for shielding or electromagnetic interference (EMI) suppression, on the other hand, block frequencies indiscriminately. </p><p>The thesis also discusses a single-pixel, metamaterial-based aperture we designed for computational imaging purposes. This aperture, termed \textit{metaimager}, forms pseudo-random radiation patterns that vary with frequency by leaking energy from a guided mode via a collection of randomly distributed resonant metamaterial elements. The metaimager, then, is able to interrogate a scene without any moving parts or expensive auxiliary hardware (both are common problems which plague synthetic aperture and phased array systems, respectively). While such a structure cannot be homogenized, when modeling its imaging capabilities we still rely on the fact each of its irises can be modeled analytically as a magnetic dipole using a relatively simple Lorentzian expression. Accurate qualitative modeling of such apertures is of paramount importance in the design and optimization stages, since it allows us to save time and money by avoiding prohibitively slow full-wave simulations of such complex structures and unnecessary fabrication processes. </p><p>Lastly, the thesis discusses how such an aperture can be viewed as a hologram in which pixels are realized by the metamaterial elements and the reference wave is realized by the fields that excite them. While the current metaimager implementation produces pseudo-random modes, the last section of the thesis discusses how, by accounting for the Lorentzian constraints of each pixel, a novel metamaterial hologram can be designed to yield tailored radiation patterns. An experiment utilizing a Fraunhofer hologram excited in a free-space illumination configuration indicates tailored modes can indeed be formed by carefully choosing the resonance frequency and location of each metamaterial. While this proof-of-concept example is relatively simple, more sophisticated realizations of such holograms can be explored in future works.</p> / Dissertation

La diffraction cohérente est une technique étonnante par sa simplicité expérimentale : une source XUV cohérente illumine un échantillon unique, isolé, et la figure de diffraction de l’objet est enregistrée sur une caméra CCD. Une inversion de la figure de diffraction à une image dans l’espace réel est possible grâce à une approche basée sur des algorithmes itératifs. Les techniques d’holographie par transformée de Fourier, pour lesquelles une référence est placée à proximité de l’objet que l’on veut imager, permettent-elles la reconstruction directe de l’image, même lorsque la qualité des données expérimentales est moindre. Nous disposons dans notre laboratoire d’une source compacte XUV suffisamment intense pour réaliser ce type d’expérience. Les impulsions XUV ultrabrèves (femtoseconde à attoseconde) sont produites en sélectionnant les harmoniques d’ordre élevé d’un laser infra-rouge femtoseconde focalisé dans une cellule de gaz rare. Nous avons récemment démontré la possibilité d’utiliser cette source pour l’imagerie par diffraction cohérente avec une résolution spatiale de 78 nm. De plus, nous avons démontré expérimentalement une technique d’holographie avec référence étendue, et obtenu une résolution de 110 nm en simple tir (soit un temps d’intégration de 20 femtosecondes). Une perception d’un objet en trois dimensions nous donne une meilleure compréhension de celui-ci. A l’échelle nanométrique, les techniques d’imagerie 3D sont issues de techniques tomographiques autour de la microscopie électronique. Cependant, les nombreuses prises de vue nécessaires (sous des angles différents) rendent ces techniques caduques lors de l’étude résolue en temps de phénomènes irréversibles sur des échantillons non reproductibles. Dans ce contexte, le but de ma thèse est d’étendre les techniques d’imagerie 2D à une perception 3D d’objets nanométriques (physiques, biologiques), tout en préservant l’aspect ultrarapide. Le développement d’une nouvelle technique d’imagerie cohérent 3D en seul vue, l’ankylographie, proposée par le professeur J. Miao de UCLA [Raines et al., Nature 2010] a été effectué. Cette technique permet de reconstruire l’image 3D d’un échantillon d’après une unique image de diffraction. Son principe basique est de retrouver la profondeur d’un objet 3D par l’interférence constructive longitudinale. Cependant, cette technique d’imagerie cohérent 3D est plus exigeante en termes de qualité de données expérimentales comme en moyen informatique d’analyse et d’inversion. L’autre idée en imagerie 3D est de mimer la vision humaine en utilisant deux faisceaux X cohérents arrivant simultanément sur l’échantillon mais avec un petit angle. Dans ce schéma, on utilise des références à coté de l’objet mire (holographie) pour améliorer le rapport signal sur bruit dans la figure de diffraction (soit hologramme). On recueille ensuite deux hologrammes sur le même détecteur. L’inversion Fourier de chacun des hologrammes forme deux images issues d’une vision différente de l’objet. La parallaxe est ainsi réalisée. La reconstruction stéréo de l’objet est effectuée numériquement. Enfin, des applications de démonstration seront envisagées après ma thèse. Il s’agit d’imager des objets biologiques (nanoplanktons déjà collectés et préparés au CEA). Et nous nous intéresserons également à l’étude du mouvement 3D d’objets nanométriques (azo-polymères) sur des temps ultracourts. Une autre application importante sera d’étudier la transition de phase ultra-rapide tel que le nano-domaine magnétique où des phénomnes de désaimantation induite par des impulsion femtoseconde ont lieu. / Coherent diffraction is an amazing art by its experimental simplicity: a coherent XUV source illuminates a single, isolated sample, and the diffraction pattern of the object is recorded by a CCD camera. An inversion of the diffraction pattern to an image in real space is possible through an approach based on iterative algorithms. The techniques for Fourier transform holography, for which reference is placed near the object to be imaged, allow the direct reconstruction of the image, even when the quality of the experimental data is worse. We have a laboratory sufficiently intense compact XUV source for this type of experience. The ultrashort XUV pulses (from femtosecond to attosecond) are produced by selecting high order harmonics of a femtosecond infrared laser which is focused into a cell of rare gas. We recently demonstrated the feasibility of using this source for coherent diffraction imaging with a spatial resolution of 78 nm. Furthermore, we demonstrated experimentally a holographic technique with extended reference and obtained a resolution of 110 nm in single shot (i.e. an integration time of 20 femtoseconds). A perception of an object in three dimensions gives us a better understanding thereof. A nanoscale 3D imaging techniques are from tomographic techniques of electron microscopy. However, many shots required (from different angles) make these techniques obsolete during the study time-resolved irreversible phenomena on non-reproducible samples. In this context, the aim of my thesis is to extend the 2D imaging techniques for 3D perception of nanoscale (physical, biological ) objects, while preserving the ultrafast appearance. The development of a new technology of 3D coherent imaging in single view, named ‘ankylography’, proposed by Professor Miao J. UCLA [Raines et al., Nature 2010] was made in progress. This technique allows reconstructing a 3D image of the sample after a single diffraction image. Its basic principle is to find the depth of a 3D object by the longitudinal constructive interference. However, this technique is more requested in both the quality of experimental data and the computer hardware and analysis. The other idea for 3D imaging is to imitate human vision using two coherent beams X arriving simultaneously on the sample but with a small angle. In this scheme, we use references near the target object (i.e. holography) to improve the signal to noise ratio in the diffraction pattern (hologram). Two holograms are then collected on the same detector. The inverse Fourier of each hologram forms two images from different views of the object. Parallax is thus produced. The stereo reconstruction of the object is performed by computer. Finally, the demonstration of applications will be considered after my thesis. This imaging of biological objects (such as nanoplanktons already collected and prepared CEA). And we are also interested in the study of 3D nanoscale objects (azo-polymers) movement on ultrashort time. Furthermore, another important application will be to study the ultra-fast phase transition such as nano-magnetic field where demagnetization phenomena induced by femtosecond pulse occurs.

Coherent imaging is a promising method in the field of x-ray microscopy allowing for the nondestructive determination of the interior structure of radiation-hard samples with a spatial resolution that is only limited by the fluence on the sample and the scattering strength of the sample. Ultimately, the achievable spatial resolution is limited by the wavelength of the incoming x-ray radiation. Combining coherent imaging with scanning microscopy to a method called ptychography enables one to also probe extended objects. In this method, a sample is scanned through a defined coherent x-ray beam and at each scan point a diffraction pattern is recorded with a diffraction camera located in the far field of the sample. Neighboring illuminated areas must have a certain overlap to guarantee the collection of sufficient information about the object for a subsequent successful and unique computational reconstruction of the object. Modern ptychographic reconstruction algorithms are even able to reconstruct the complex-valued transmission function of the sample and the complex illumination wave field at the same time. Once the 2D transmission function of a sample is known, it is an obvious step forward to combine ptychography with tomographic techniques yielding the 3D internal structure of an object with unprecedented spatial resolution. Here, projections at varying angular positions of the sample are generated via ptychographic scans and are subsequently used for the tomographic reconstruction. In this thesis the development of 3D ptychography is described. It includes the description of the required experimental environment, the numerical implementation of ptychographic phase retrieval and tomographic reconstruction routines, and a detailed analysis of the performance of 3D ptychography using an example of an experiment carried out at beamline P06 of PETRA III at DESY in Hamburg. In that experiment the investigated object was a Mo/UO2 thin film, which is a simplified model for spent nuclear fuel from nuclear power plant reactors. Such models find application in systematic scientific investigations related to the safe disposal of nuclear waste. We determined the three-dimensional interior structure of this sample with an unprecedented spatial resolution of at least 18 nm. The measurement of the fluorescence signal at each scan point of the ptychograms delivers the two- and three-dimensional elemental distribution of the sample with a spatial resolution of 80 nm. Using the fluorescence data, we assigned the chemical element to the area of the corresponding phase shift in the ptychographic reconstruction of the object phase and to the corresponding refractive index decrement in the tomographic reconstruction. The successful demonstration of the feasibility of the 3D ptychography motivates further applications, for instance, in the field of medicine, of material science, and of basic physical research. / Kohärente Bildgebung ist eine vielversprechende Methode der Röntgenmikroskopie. Sie ermöglicht die zerstörungsfreie Bestimmung der inneren Struktur von strahlenharten Untersuchungsobjekten mit einer räumlichen Auflösung, die im Prinzip nur von der integralen Anzahl der Photonen auf der Probe sowie deren Streukraft abhängt. Letztendlich stellt die Wellenlänge der verwendeten Röntgenstrahlung eine Grenze für die erreichbare räumliche Auflösung dar. Die Kombination der kohärenten Bildgebung mit der Rastermikroskopie zur sogenannten Ptychographie eröffnet die Möglichkeit, auch ausgedehnte Objekte mit hoher Auflösung zu untersuchen. Dabei wird die Probe mit einem räumlich begrenzten, kohärenten Röntgenstrahl abgerastert und an jedem Rasterpunkt ein Beugungsbild von einer im Fernfeld platzierten Beugungskamera registriert. Die Beleuchtungen benachbarter Rasterpunkte müssen dabei zu einem bestimmten Prozentsatz überlappen, um genügend Informationen für eine anschließende computergestützte und eindeutige Rekonstruktion des Objektes sicherzustellen. Moderne Rekonstruktionsalgorithmen ermöglichen sogar die gleichzeitige Rekonstruktion der Transmissionsfunktion des Objektes und der Beleuchtungsfunktion des eintreffenden Röntgenstrahls. Die Verknüpfung der Ptychographie mit der Tomographie zur 3D-Ptychographie ist der nahe liegende Schritt, um nun auch die dreidimensionale innere Struktur von Objekten mit hoher räumlicher Auflösung zu bestimmen. Die Projektionen an den verschiedenen Winkelpositionen der Probe werden dabei mittels ptychographischer Abrasterung der Probe erzeugt und anschließend der tomographischen Rekonstruktion zugrunde gelegt. In dieser Arbeit wird die Entwicklung der 3D-Ptychographie beschrieben. Das beinhaltet die Beschreibung der experimentellen Umgebung, der numerischen Implementierung des ptychographischen und des tomographischen Rekonstruktionsalgorithmus als auch eine detaillierte Darstellung der Durchführung der 3D-Ptychographie am Beispiel eines Experiments, welches unter Verwendung des modernen Nanoprobe-Aufbaus des Strahlrohres P06 am PETRA III Synchrotronring des DESY in Hamburg durchgeführt wurde. Als Untersuchungsobjekt diente dabei ein dünner Mo/UO2-Film, der ein vereinfachtes Modell für die in Reaktoren von Atomkraftwerken verbrauchten Brennstäbe darstellt und deshalb im Bereich des Umweltschutzes Anwendung findet. Die dreidimensionale Struktur der Probe wurde mit einer - für diese Methode bisher einmaligen - räumlichen Auflösung von 18 nm bestimmt. Die Messung des von der Probe kommenden Fluoreszenz-Signals an jedem Rasterpunkt der Ptychogramme ermöglichte zusätzlich die Bestimmung der zwei- und dreidimensionalen Elementverteilung innerhalb der Probe mit einer räumlichen Auflösung von 80 nm. Anhand der Fluoreszenzdaten konnte sowohl den Bereichen verschiedener Phasenschübe in den ptychographischen Rekonstruktionen der Objektphase als auch den verschiedenen Werten des Dekrementes des Brechungsindex in der tomographischen Rekonstruktion, das entsprechende chemische Element zugeordnet werden. Die erfolgreiche Demonstration der Durchführbarkeit der 3D-Ptychographie motiviert weitere zukünftige Anwendungen, z. B. auf dem Gebiet der Medizin, der Materialforschung und der physikalischen Grundlagenforschung.

Laser micromachining has become increasing prominent in various industries given its speed, lack of tool wear, and ability to create features on the order of micrometres. Inherent stochastic variations from thermal ablation along with detrimental heat effects, however, limit the feasibility of achieving high precision. The high number of control parameters that make laser micromachining versatile also hinders optimization due to high exploration time. The introduction of high intensity nonlinear ablation leads to more precise cuts but at a much higher, often restrictive, cost. The work here shows that by combining an imaging technique frequently used in ophthalmology called optical coherence tomography (OCT) with a machining platform, in situ observation of ablation can be made. This combination, known as in-line coherent imaging (ICI), allows information to be gathered about the dynamics of the ablation process. Experimental results show that quality cutting of silicon can be achieved with thermal ablation and at a wavelength of 1070 nm. This result is surprising as silicon absorbs this wavelength very weakly at room temperature. It is shown here that a nonlinear thermal dependence in absorption allows a cascaded absorption effect to enable machining. With the aid of ICI, the model shown here is able to accurately predict the thermal ablation rate and help understand the ablation process. The high quality cutting achieved allows for a more cost efficient alternative to current techniques using ultraviolet diode-pumped solid state (UV DPSS) systems. Where thermal effects such as heat-affected zones (HAZ) cannot be overcome, high intensity nonlinear ablation allows the processing of lead zirconate titanate (PZT) for high frequency arrays (used in ultrasound applications) at speeds two orders of magnitude greater than found in the literature, and potential feature sizes (< 100 µm) in polymethyl methacrylate (PMMA) unachievable by thermal ablation. The ablation mechanism here is Coulombic explosion (CE), which is a non-thermal process. Coupled with demonstrated manual and automatic feedback abilities of ICI, the processes shown here may open up new avenues for fabrication. / Thesis (Master, Physics, Engineering Physics and Astronomy) -- Queen's University, 2011-05-31 15:02:55.547

Made available in DSpace on 2014-06-12T18:29:09Z (GMT). No. of bitstreams: 2 arquivo4274_1.pdf: 5027595 bytes, checksum: 37a31f281a0f888465edbdc60cb2db39 (MD5) license.txt: 1748 bytes, checksum: 8a4605be74aa9ea9d79846c1fba20a33 (MD5) Previous issue date: 2008 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / Nessa tese estudamos a estimação por máxima verossimilhança (MV) do parâmetro de aspereza da distribuição G 0 A de imagens com speckle (Frery et al., 1997). Descobrimos que, satisfeita uma certa condição dos momentos amostrais, a função de verossimilhança é monótona e as estimativas MV são infinitas, implicando uma região plana. Implementamos quatro estimadores de correção de viés em uma tentativa de obter estimativas MV finitas. Três dos estimadores são obtidos da literatura sobre verossimilhança monótona (Firth, 1993; Jeffreys, 1946) e um, baseado em reamostragem, é proposto pelo autor. Fazemos experimentos numéricos de Monte Carlo para comparar os quatro estimadores e encontramos que não existe um favorito claro, a menos quando um parâmetro (dado a priori da estimação) toma um valor específico. Também aplicamos os estimadores a dados reais de radar de abertura sintética. O resultado desta análise mostra que os estimadores precisam ser comparados com base em suas habilidades de classificar regiões corretamente como ásperas, planas, ou intermediárias e não pelos seus vieses e erros quadráticos médios

Laser processing has the advantage of minimal sample contact and thus little tool wear over time compared to conventional machining. However, this leads to the difficulty of real-time depth monitoring and control. To help understand the process and achieve automation of laser micromachining, a coherent imaging technique adapted from spectral domain optical coherence tomography (SD-OCT) is applied “inline”with a machining laser to monitor the depth changing information. The axial resolution of the inline coherent imaging (ICI) system is 7–8 microns and the acquisition rate is up to 230 kHz. The capture time is as low as 1.5 microseconds. 3D laser machining usually requires ultrafast lasers and homogeneous materials. With ICI, a feedback system is developed for 3D sculpture suitable even for heterogeneous materials without any sophisticated material characterization. 3D patterns with sizes up to 1 mm × 1 mm × 0.2 mm are sculpted in bone and wood with a ps UV laser. 3D patterns with sizes up to 6 mm × 6 mm × 2 mm are sculpted in bone with a CW IR laser. Many laser applications require high scan speed facilitated by scanning optics. The versatility of ICI is also demonstrated in a galvo-telecentric beam delivery system. ICI is used in a process of trench (as long as 10 mm) etching of steel to monitor the intrapulse and interpulse morphology changes as well as the sweep-to-sweep (up to 36 sweeps) depth changes. High scan speed (up to 375 mm/s) trench etching of silicon are also monitored and the parameter space is explored without destructive post-processing. Motion during imaging capture time (>1.5 microseconds) may cause contrast degradation. To reduce the motion artifacts, preliminary experiments on stroboscopic ICI based on a kHz pulse repetition rate femtosecond laser are described. By “sampling” the motion of the machining front discretely with a “sampling time” as short as the imaging pulse duration, our results demonstrate that stroboscopic ICI is a promising way to improve the ICI contrast against motion artifacts. / Thesis (Master, Physics, Engineering Physics and Astronomy) -- Queen's University, 2014-04-30 13:56:35.793

Coherent imaging is a promising method in the field of x-ray microscopy allowing for the nondestructive determination of the interior structure of radiation-hard samples with a spatial resolution that is only limited by the fluence on the sample and the scattering strength of the sample. Ultimately, the achievable spatial resolution is limited by the wavelength of the incoming x-ray radiation. Combining coherent imaging with scanning microscopy to a method called ptychography enables one to also probe extended objects. In this method, a sample is scanned through a defined coherent x-ray beam and at each scan point a diffraction pattern is recorded with a diffraction camera located in the far field of the sample. Neighboring illuminated areas must have a certain overlap to guarantee the collection of sufficient information about the object for a subsequent successful and unique computational reconstruction of the object. Modern ptychographic reconstruction algorithms are even able to reconstruct the complex-valued transmission function of the sample and the complex illumination wave field at the same time. Once the 2D transmission function of a sample is known, it is an obvious step forward to combine ptychography with tomographic techniques yielding the 3D internal structure of an object with unprecedented spatial resolution. Here, projections at varying angular positions of the sample are generated via ptychographic scans and are subsequently used for the tomographic reconstruction. In this thesis the development of 3D ptychography is described. It includes the description of the required experimental environment, the numerical implementation of ptychographic phase retrieval and tomographic reconstruction routines, and a detailed analysis of the performance of 3D ptychography using an example of an experiment carried out at beamline P06 of PETRA III at DESY in Hamburg. In that experiment the investigated object was a Mo/UO2 thin film, which is a simplified model for spent nuclear fuel from nuclear power plant reactors. Such models find application in systematic scientific investigations related to the safe disposal of nuclear waste. We determined the three-dimensional interior structure of this sample with an unprecedented spatial resolution of at least 18 nm. The measurement of the fluorescence signal at each scan point of the ptychograms delivers the two- and three-dimensional elemental distribution of the sample with a spatial resolution of 80 nm. Using the fluorescence data, we assigned the chemical element to the area of the corresponding phase shift in the ptychographic reconstruction of the object phase and to the corresponding refractive index decrement in the tomographic reconstruction. The successful demonstration of the feasibility of the 3D ptychography motivates further applications, for instance, in the field of medicine, of material science, and of basic physical research. / Kohärente Bildgebung ist eine vielversprechende Methode der Röntgenmikroskopie. Sie ermöglicht die zerstörungsfreie Bestimmung der inneren Struktur von strahlenharten Untersuchungsobjekten mit einer räumlichen Auflösung, die im Prinzip nur von der integralen Anzahl der Photonen auf der Probe sowie deren Streukraft abhängt. Letztendlich stellt die Wellenlänge der verwendeten Röntgenstrahlung eine Grenze für die erreichbare räumliche Auflösung dar. Die Kombination der kohärenten Bildgebung mit der Rastermikroskopie zur sogenannten Ptychographie eröffnet die Möglichkeit, auch ausgedehnte Objekte mit hoher Auflösung zu untersuchen. Dabei wird die Probe mit einem räumlich begrenzten, kohärenten Röntgenstrahl abgerastert und an jedem Rasterpunkt ein Beugungsbild von einer im Fernfeld platzierten Beugungskamera registriert. Die Beleuchtungen benachbarter Rasterpunkte müssen dabei zu einem bestimmten Prozentsatz überlappen, um genügend Informationen für eine anschließende computergestützte und eindeutige Rekonstruktion des Objektes sicherzustellen. Moderne Rekonstruktionsalgorithmen ermöglichen sogar die gleichzeitige Rekonstruktion der Transmissionsfunktion des Objektes und der Beleuchtungsfunktion des eintreffenden Röntgenstrahls. Die Verknüpfung der Ptychographie mit der Tomographie zur 3D-Ptychographie ist der nahe liegende Schritt, um nun auch die dreidimensionale innere Struktur von Objekten mit hoher räumlicher Auflösung zu bestimmen. Die Projektionen an den verschiedenen Winkelpositionen der Probe werden dabei mittels ptychographischer Abrasterung der Probe erzeugt und anschließend der tomographischen Rekonstruktion zugrunde gelegt. In dieser Arbeit wird die Entwicklung der 3D-Ptychographie beschrieben. Das beinhaltet die Beschreibung der experimentellen Umgebung, der numerischen Implementierung des ptychographischen und des tomographischen Rekonstruktionsalgorithmus als auch eine detaillierte Darstellung der Durchführung der 3D-Ptychographie am Beispiel eines Experiments, welches unter Verwendung des modernen Nanoprobe-Aufbaus des Strahlrohres P06 am PETRA III Synchrotronring des DESY in Hamburg durchgeführt wurde. Als Untersuchungsobjekt diente dabei ein dünner Mo/UO2-Film, der ein vereinfachtes Modell für die in Reaktoren von Atomkraftwerken verbrauchten Brennstäbe darstellt und deshalb im Bereich des Umweltschutzes Anwendung findet. Die dreidimensionale Struktur der Probe wurde mit einer - für diese Methode bisher einmaligen - räumlichen Auflösung von 18 nm bestimmt. Die Messung des von der Probe kommenden Fluoreszenz-Signals an jedem Rasterpunkt der Ptychogramme ermöglichte zusätzlich die Bestimmung der zwei- und dreidimensionalen Elementverteilung innerhalb der Probe mit einer räumlichen Auflösung von 80 nm. Anhand der Fluoreszenzdaten konnte sowohl den Bereichen verschiedener Phasenschübe in den ptychographischen Rekonstruktionen der Objektphase als auch den verschiedenen Werten des Dekrementes des Brechungsindex in der tomographischen Rekonstruktion, das entsprechende chemische Element zugeordnet werden. Die erfolgreiche Demonstration der Durchführbarkeit der 3D-Ptychographie motiviert weitere zukünftige Anwendungen, z. B. auf dem Gebiet der Medizin, der Materialforschung und der physikalischen Grundlagenforschung.

No description available.

The development of highly coherent X-ray sources offers new possibilities to image biological structures at different scales exploiting the refraction of X-rays. The coherence properties of the third-generation synchrotron radiation sources enables efficient implementations of phase contrast techniques. One of the first measurements of the intensity variations due to phase contrast has been reported in 1995 at the European Synchrotron Radiation Facility (ESRF). Phase imaging coupled to tomography acquisition allows threedimensional imaging with an increased sensitivity compared to absorption CT. This technique is particularly attractive to image samples with low absorption constituents. Phase contrast has many applications, ranging from material science, paleontology, bone research to medicine and biology. Several methods to achieve X-ray phase contrast have been proposed during the last years. In propagation based phase contrast, the measurements are made at different sample-to-detector distances. While the intensity data can be acquired and recorded, the phase information of the signal has to be "retrieved" from the modulus data only. Phase retrieval is thus an illposed nonlinear problem and regularization techniques including a priori knowledge are necessary to obtain stable solutions. Several phase recovery methods have been developed in recent years. These approaches generally formulate the phase retrieval problem as a linear one. Nonlinear treatments have not been much investigated. The main purpose of this work was to propose and evaluate new algorithms, in particularly taking into account the nonlinearity of the direct problem. In the first part of this work, we present a Landweber type nonlinear iterative scheme to solve the propagation based phase retrieval problem. This approach uses the analytic expression of the Fréchet derivative of the phase-intensity relationship and of its adjoint, which are presented in detail. We also study the effect of projection operators on the convergence properties of the method. In the second part of this thesis, we investigate the resolution of the linear inverse problem with an iterative thresholding algorithm in wavelet coordinates. In the following, the two former algorithms are combined and compared with another nonlinear approach based on sparsity regularization and a fixed point algorithm. The performance of theses algorithms are evaluated on simulated data for different noise levels. Finally the algorithms were adapted to process real data sets obtained in phase CT at the ESRF at Grenoble.

No description available.