No description available.

A Holografia Computacional é uma técnica bem conhecida que permite a realização de uma grande variedade de Elementos Ópticos Difrativos. Elementos Ópticos Difrativos são dispositivos ópticos \"moldadores\" de onda projetados com base nas propriedades de difração de suas interfaces micro-estruturadas (ou de seus variáveis índices de refração). Considerando-se sua vasta escala de tecnologias de integração e repetição, usadas na fabricação de circuitos micro-eletrônicos, eles possuem um baixo custo de fabricação. Neste trabalho, o Algoritmo Iterativo da Transformada de Fourier foi aplicado para o cálculo de hologramas de Fourier binários destinados à modelagem da luz laser. A finalidade foi simular as propriedades dos elementos, considerando algumas distribuições luminosas desejadas, e gerar o \"layout\" das máscaras de fabricação destes hologramas. Urna das implementações realizadas, para que os resultados fossem melhorados durante as iterações, foi o cálculo de uma correção na janela de reconstrução que considera o erro de amplitude da reconstrução anterior. A possibilidade de visualizar as reconstruções binárias também é demonstrada, onde o olho humano é tratado como uma lente de Fourier. Um dispositivo óptico difrativo híbrido com perfil binário e contínuo, capaz de dividir um feixe de laser monocromático em um número arbitrário de linhas com um alto ângulo também é apresentado. Hologramas de Fourier de fase contínua e com 4 níveis de fase são implementados utilizando-se o Algoritmo Iterativo da Transformada de Fourier. Cálculos para a geração de hologramas de fase de Fresnel são realizados, combinando o Algoritmo Iterativo da Transformada de Fourier com a propagação da luz no espaço livre. / The Computer Holography is a well known technique that enables one to realize a wide range of Diffractive Optical Elements. Diffractive Optical Elements are optical waveshaping devices designed with base on the diffraction properties of their microstructured interfaces (or refractive-index gradients). They have potential low fabrication cost, considering their very large scale integration and replication technologies used in the fabrication of microelectronics circuits. In this work, the Iterative Fourier Transform Algorithm was applied for the calculation of binary computer generated Fourier holograrns for laser beam shaping. The purpose was to simulate the elements proprieties considering some desired light distributions and to generate the fabrication masks Iayout of these holograms. One of the implementations, performed to improve the results during the iterations, was the calculation of a amplitude correction in the reconstruction window that considers the amplitude error from the previous reconstruction. The possibility to visualize the binary holograms reconstructions is also demonstred, where the human eye is treated as a Fourier lens. A hybrid binary and continuous profile diffractive optical device capable of splitting a monochromatic laser beam into an arbitrary number of tines over wide angle is also presented. Continuous phase and four phase levels Fourier holograms are implemented using the lterative Fourier Transform Algorithm. Fresnel phase holograms calculations are performed by combining the Iterative Fourier Transform Algorithm with the free space light propagation.

No description available.

Bragg scattering of optical waves in thick gratings at extreme angles, where the scattered wave propagates parallel (extremely asymmetric scattering - EAS) or nearly parallel (grazing angle scattering - GAS) to the grating boundaries, is associated with many unique and practically important resonant phenomena. It has been demonstrated that one of the main physical mechanisms for these resonant phenomena is the diffractional divergence of the scattered wave inside and outside the grating region. This thesis fills the gaps in the theoretical and experimental understanding of Bragg scattering in gratings at extreme angles by investigating EAS and GAS in structures where diffractional divergence of waves is significantly affected by anisotropy and/or non-uniformities of the dielectric permittivity. Unusually high sensitivity of wave scattering in thick periodic gratings to small step-like variations of mean structural parameters at the grating boundaries is predicted and described for the case when the scattered wave (the +1 diffracted order) propagates almost parallel to the front grating boundary (the geometry of GAS). A unusual pattern of strong multiple resonances for bulk electromagnetic waves is predicted and analysed numerically in thick periodic holographic gratings in a guiding slab with mean permittivity that is greater than that of the surrounding media. It is demonstrated that these resonances are related to resonant generation of a new type of eigenmodes in a thick slab with a periodic grating. These eigenmodes are generically related to the grating -- they do exist not if the grating amplitude is zero. A new type of resonant coupling of bulk radiation into the conventional guided modes of a slab with a thick holographic grating is predicted and explained theoretically. It occurs in the presence of strong frequency detunings of the Bragg condition by means of interaction of the strongly non-eigen +1 diffracted order with the slab-grating boundaries. Therefore, it is only in the presence of step-like variations of the mean permittivity at the grating boundaries that this type of resonant coupling can occur. A new method for the analysis of EAS and GAS in anisotropic gratings is developed. This method is based on the consideration of the diffractional divergence of the scattered wave and the two-wave approximation in anisotropic gratings. Special efforts are focused on the analysis of EAS and GAS of extraordinary waves in uniaxial gratings. In particular, it is demonstrated that increasing curvature of the normal surface in the direction of propagation of the scattered wave results in increase of its diffraction divergence and the resonant amplitude. A theoretical model is developed for comparison of the theoretical predictions with data obtained from experimental observations of EAS in a holographic grating written in a photorefractive medium. The developed model is applied for the interpretation of experimental observations of EAS in BaTiO3 photorefractive crystals. Good agreement with the theoretical predictions is demonstrated.

Les systèmes micro-opto-électro-mécaniques (MOEMS) représentent un atout considérable pour les technologies de demain et démontrent régulièrement leur capacité d'innovation dans tous les domaines de recherches. L'astronomie en profite déjà à travers l'optique adaptative et leur versatilité a récemment permis de développer un nouveau spectro-imageur BATMAN qui verra sa première lumière au Telescopio Nazionale Galileo (TNG) à La Palma (Iles Canaries). Le code de contrôle du MOEMS permettant l'automatisation de l'acquisition des spectres a été le point de départ de mon travail au LAM.La partie principale de ce manuscrit traite d'une seconde application imaginée en associant les MOEMS à un matériau photochromique développé à Polytecnico di Milano (Italie) qui peut prendre deux états différenciés par leur transparence. Le MOEMS, initialement utilisé pour la projection d'image, permet de moduler la dose d'énergie lumineuse projeté sur la plaque photochromique qui répond en s'éclaircissant progressivement. Ce procédé permet donc d'enregistrer des images en niveau de gris sur la plaque et notamment des hologrammes générés par ordinateur (CGH) utilisés en métrologie optique. Actuellement, les CGHs utilisés sont binaires, mais notre procédure permet d'enregistrer des CGHs quantifiés en amplitude avec une résolution de 13,68 µm et une précision inférieure à 1% en terme de transparence malgré un éclairage peu homogène. La quantification des CGHs de type Fresnel et Fourier ont été calculés, réalisés et testés avec succès. Deux nouveaux algorithmes de Fourier ont étaient imaginés, réalisés et ont montrés des performances très supérieurs au code usuel de Lee qui est un codage binaire. / Micro-opto-electro-mecanical systems (MOEMS) are primordial tools for future applications in several scientific fields as telecommunications or image display. Astronomy takes also advantage of their great adaptatbility thanks to the development of adaptative optics; a new spectro-imager called BATMAN has recently been develloped to be installed at Telescopio Nazionale Galileo (TNG) in the Canaries Islands. The control of the MOEMS allowing computerizing this processus has been the starting point of my work at the LAM.The main part of this manuscript deals with another application conceived thanks to the association of the characteristics of MOEMS and photosensitive materials developed at Politecnico di Milano (Italy). These materials can be put in two states differentiated by their transparency. The MOEMS, initially used to display images, allows controlling the dose of light projected on the photocrhomic plate which reacts by becoming more and more transparent. This process permit to record Computer Generated Holograms (CGHs) in grayscale which are used in optical metrology. Today, binary CGHs are used but our process allows to record amplitude quantified CGHs with a resolution of 13.68 µm and a precision better than 1% in term of transparency, even with a non homogeneous illumination beam. Comparative studies have shown advantages of quantified CGHs of Fresnel and Fourier families. Two new Fourier algorithms have been conceived thanks to use of the third dimension offered by the control of the transparency. They have been realized and tested succesfully, and have shown much better performances than the current binary coding, so called Lee algorithm.

A Holografia Computacional é uma técnica bem conhecida que permite a realização de uma grande variedade de Elementos Ópticos Difrativos. Elementos Ópticos Difrativos são dispositivos ópticos \"moldadores\" de onda projetados com base nas propriedades de difração de suas interfaces micro-estruturadas (ou de seus variáveis índices de refração). Considerando-se sua vasta escala de tecnologias de integração e repetição, usadas na fabricação de circuitos micro-eletrônicos, eles possuem um baixo custo de fabricação. Neste trabalho, o Algoritmo Iterativo da Transformada de Fourier foi aplicado para o cálculo de hologramas de Fourier binários destinados à modelagem da luz laser. A finalidade foi simular as propriedades dos elementos, considerando algumas distribuições luminosas desejadas, e gerar o \"layout\" das máscaras de fabricação destes hologramas. Urna das implementações realizadas, para que os resultados fossem melhorados durante as iterações, foi o cálculo de uma correção na janela de reconstrução que considera o erro de amplitude da reconstrução anterior. A possibilidade de visualizar as reconstruções binárias também é demonstrada, onde o olho humano é tratado como uma lente de Fourier. Um dispositivo óptico difrativo híbrido com perfil binário e contínuo, capaz de dividir um feixe de laser monocromático em um número arbitrário de linhas com um alto ângulo também é apresentado. Hologramas de Fourier de fase contínua e com 4 níveis de fase são implementados utilizando-se o Algoritmo Iterativo da Transformada de Fourier. Cálculos para a geração de hologramas de fase de Fresnel são realizados, combinando o Algoritmo Iterativo da Transformada de Fourier com a propagação da luz no espaço livre. / The Computer Holography is a well known technique that enables one to realize a wide range of Diffractive Optical Elements. Diffractive Optical Elements are optical waveshaping devices designed with base on the diffraction properties of their microstructured interfaces (or refractive-index gradients). They have potential low fabrication cost, considering their very large scale integration and replication technologies used in the fabrication of microelectronics circuits. In this work, the Iterative Fourier Transform Algorithm was applied for the calculation of binary computer generated Fourier holograrns for laser beam shaping. The purpose was to simulate the elements proprieties considering some desired light distributions and to generate the fabrication masks Iayout of these holograms. One of the implementations, performed to improve the results during the iterations, was the calculation of a amplitude correction in the reconstruction window that considers the amplitude error from the previous reconstruction. The possibility to visualize the binary holograms reconstructions is also demonstred, where the human eye is treated as a Fourier lens. A hybrid binary and continuous profile diffractive optical device capable of splitting a monochromatic laser beam into an arbitrary number of tines over wide angle is also presented. Continuous phase and four phase levels Fourier holograms are implemented using the lterative Fourier Transform Algorithm. Fresnel phase holograms calculations are performed by combining the Iterative Fourier Transform Algorithm with the free space light propagation.

Actuellement, la presbytie peut être corrigée chirurgicalement à l’aide d’implants intraoculaires réfractifs ou diffractifs multifocaux (chirurgie endoculaire invasive et irréversible) ou en intracornéen avec une correction multifocale réfractive (correction laser irréversible, ou insertion d’un implant dans le stroma). L’objectif de ce travail est de développer un nouvel implant permettant de corriger la presbytie, qui allie l’innocuité et la réversibilité d’une correction intracornéenne, à l’efficacité du diffractif. Le design des profils optiques bifocaux a été permis grâce au développement d’outils de simulation optique. Les efficacités de diffraction sont calculées à partir de la propagation du champ électrique par spectre angulaire. La qualité optique est déterminée d’après les simulations de Fonction de Transfert de Modulation obtenues sous Zemax. Des simulations de rendu d’images permettent de visualiser les effets de différents profils envisagés. Les paramètres critiques du design optique sont déterminés. Le choix du matériau dépend des contraintes de biocompatibilité de l’implant et des techniques de fabrication. La solution retenue est un hydrogel à forte teneur en eau, couplé à une nouvelle architecture de l’implant. L’hydrogel est obtenu par polymérisation radicalaire de macromonomères difonctionnels de poly(éthylène glycol) de masses molaires de l’ordre de 8000 g.mol‐1 qui conduisent à des propriétés mécaniques et une perméabilité aux nutriments compatibles avec l’application. La réalisation, la stérilisation et la caractérisation optique de prototypes ont abouti à la preuve du concept d’un implant bifocal diffractif intracornéen / Presbyopia can be corrected with surgery by means of refractive or diffractive multifocal intraocular lenses (which imply an irreversible and invasive endocular surgery) or by intracorneal multifocal refractive correction (irreversible laser correction, or insertion of an intrastromal implant). This work aims at developing a new implant to correct presbyopia, which takes advantage of both the harmlessness and the reversibility of an intracorneal correction, and the efficiency of diffractive optics. The design of the bifocal optical profiles was based on the development of optical simulation tools. The diffractive efficiencies are calculated from the distribution of the electric field with the method of angular spectrum. The optical quality is determined according to the simulations of Modulation Transfer Function obtained with Zemax. Images simulations show the effects of the different profiles studied. The critical parameters of the optical design are also determined. The choice of the material depends on several constraints such as biocompatibility and techniques of manufacturing. The adopted solution relies on the used of an hydrogel with high water content and the design of a new implant architecture. The hydrogel is obtained by radical polymerization of difunctional macromonomers of poly(ethylene glycol) with molar masses around 8000 g.mol‐1, allowing mechanical properties and permeability to nutriments compatible with the application. The realization, the sterilization and the characterization of prototypes showed the proof of the concept of a diffractive bifocal intracorneal implant

This thesis fills in the gaps in the existing theory of wave phenomena in thick diffraction gratings at extreme angles of scattering, i.e. when the scattered wave propagates parallel or almost parallel to the grating boundaries. A consistent theory of a new type of Bragg scattering of bulk and guided optical modes in thick uniform and non-uniform, dissipative and non-dissipative, slanted periodic gratings has been developed. This type of scattering is called extremely asymmetrical scattering (EAS). One of the main distinctive features of EAS is the strong resonant increase of the scattered wave amplitude compared to the amplitude of the incident wave. Several unique combinations of strong resonances shaping a complex multi-resonant pattern of EAS in different types of gratings have been predicted and investigated theoretically and numerically. This includes the prediction of a new resonant wave effect in non-uniform gratings with varying phase – double-resonant EAS, the discovery of several sharp and strong resonances with respect to scattering angle in gratings with the scattered wave propagating almost parallel to the grating boundaries (grazing-angle scattering (GAS)) for the case of second-order scattering, and the prediction of a new type of eigenmode in gratings with second-order scattering (especially in gratings with large amplitude). In addition, several other important practical problems that may be crucial for the experimental observation and application of EAS and GAS have been solved. These are the determination of the tolerance of EAS to small grating imperfections, e.g., fluctuations of the grating amplitude, prediction of unusually high sensitivity of second-order EAS to small variations of mean structural parameters, determination of the effect of weak dissipation on EAS, etc. Physical reasons for the predicted resonances and effects are explained. In particular, the crucial role of the diffractional divergence for EAS and GAS has been revealed, especially for non-uniform gratings. Methods of analysis involve the approximate and rigorous approaches. The approximate method is based on understanding the role of the diffractional divergence in the geometry of EAS and the two-wave approximation (valid for any types of waves). The rigorous approach is based on the rigorous coupled-wave analysis (RCWA) and, in particular, the known enhanced T-matrix algorithm (by Moharam, et al.) that is numerically stable for narrow and wide gratings with arbitrary amplitude (valid only for bulk electromagnetic waves).