When the finite-difference time-domain (FDTD) method is applied to light scattering computations, the far fields can be obtained by either a volume integration method, or a surface integration method. In the first study, we investigate the errors associated with the two near-to-far field transform methods. For a scatterer with a small refractive index, the surface approach is more accurate than its volume counterpart for computing the phase functions and extinction efficiencies; however, the volume integral approach is more accurate for computing other scattering matrix elements. If a large refractive index is involved, the results computed from the volume integration method become less accurate, whereas the surface method still retains the same order of accuracy as in the situation of a small refractive index. In my second study, a fourth order symplectic FDTD method is applied to the problem of light scattering by small particles. The total-field/ scattered-field (TF/SF) technique is generalized for providing the incident wave source conditions in the symplectic FDTD (SFDTD) scheme. Numerical examples demonstrate that the fourthorder symplectic FDTD scheme substantially improves the precision of the near field calculation. The major shortcoming of the fourth-order SFDTD scheme is that it requires more computer CPU time than the conventional second-order FDTD scheme if the same grid size is used. My third study is on multiple scattering theory. We develop a 3D Monte Carlo code for the solving vector radiative transfer equation, which is the equation governing the radiation field in a multiple scattering medium. The impulse-response relation for a plane-parallel scattering medium is studied using our 3D Monte Carlo code. For a collimated light beam source, the angular radiance distribution has a dark region as the detector moves away from the incident point. The dark region is gradually filled as multiple scattering increases. We have also studied the effects of the finite size of clouds. Extending the finite size of clouds to infinite layers leads to underestimating the reflected radiance in the multiple scattering region, especially for scattering angles around 90 degrees. The results have important applications in the field of remote sensing.

<p>Ellipsometry is an optical technique used for studies of thin films and surfaces. The technique is based on measurement and analysis of the changes in the state of polarization that occur when polarized light is reflected on a sample surface.</p><p>The multichannel Mueller matrix ellipsometer is a new system that is about to enter the commercial market. It can measure the full 4x4 Mueller matrix of a sample.</p><p>The Laboratory of Applied Optics at the Department of Physics, Chemistry and Biology at Linköpings University has purchased one such multichannel Mueller matrix ellipsometer, called RC2, from J.A. Woollam Co., Inc.</p><p>This project has the objective to investigate potentials and limitations of this new ellipsometer. This is done by comparing measurements carried out on RC2 with similar measurements made on a different, well known ellipsometer system, the VASE ellipsometer.</p><p>A study of the theoretical background of ellipsometry has been made including a description of the Jones formalism of describing optical properties as well as the Stokes/ Mueller formalism.</p><p>A short theoretical description of the RC2 principles, in order to better understand the new ellipsometer is also given.</p><p>Measurements have been made on samples of varying complexity, including isotropic and anisotropic samples with in-plane anisotropy and out-of-plane anisotropy.</p><p>On samples with no depolarization there should be no difference between the two ellipsometers. As can be seen in the experimental results there is some difference, but very little. Both for the isotropic samples, where Δ and ψ have been measured, and anisotropic, where the full Mueller matrix has been measured, we find a good match between VASE and RC2.</p><p>When the samples are depolarizing, we expect to see a difference in the Mueller matrix. We do notice a significant difference in the measurements on tilted nanometer rods of TiO2, which has an advanced nano-structure in the upper layer. We can thus conclude that samples with depolarizing properties reveal this when measured with the new RC2 ellipsometer.</p>

Ever since automobiles became affordable for the average American, with the introduction of the Ford Model T in 1908, making driving safer has been a priority. While driver intoxication and distraction are the leading causes of automotive fatalities, poor road conditions increase the frequency and deadliness of these incidents. Monitoring road conditions for thousands of miles of road is a huge undertaking, one too large for human surveillance. Automated systems capable of detecting and reacting to dangerous road conditions would be life-saving. These systems could be mounted to the sides of road and notify an operator of conditions in real-time. Drivers could be warned, action taken, and many lives saved. This thesis investigated the science behind polarimetric road ice detection systems. Laboratory Mueller matrix measurements of a simulated road under differing surface conditions were collected searching for a discriminatory polarization property. These Mueller matrices were decomposed into depolarization, diattenuation, and retardance. Individual sample surface polarization properties were then calculated from these three unique matrices and compared. Simulated road samples were measured under many wavelengths and angles, which gave us a larger data library from which to observe trends. Specular and off-specular reflection responses of each sample were also collected. Four polarization properties stood out for having high separation between dry and iced measurements: Depolarization Index, Linear Diattenuation, Linear Polarizance, and Linear Retardance. Through our investigation polarimetric ice detection is possible. Continued research of the polarization properties of road ice can result in the development of a road ice detection system. Proposed deployment methods of such a system have been outlined following the analysis of the data collected in this experiment. Not only is polarimetric ice detection an exciting and novel use of polarization, it has the potential to improve road safety through real-time ice response measures.

Measuring the Mueller matrix with optical coherence tomography (OCT) makes it possible to acquire the complete polarization properties of scattering media with three-dimensional spatial resolution. We first proved that the measured degree-of-polarization (DOP) of the backscattered light by OCT remains unity-a conclusion that validated the use of Jones calculus in OCT. A multi-channel Mueller-matrix OCT system was then built to measure the Jones-matrix, which can be transformed into a Mueller matrix, images of scattering biological tissues accurately with single depth scan. We showed that when diattenuation is negligible, the round-trip Jones matrix represents a linear retarder, which is the foundation of conventional PS-OCT, and can be calculated with a single incident polarization state although the one-way Jones matrix generally represents an elliptical retarder; otherwise, two incident polarization states are needed. We discovered the transpose symmetry in the roundtrip Jones matrix, which is critical for eliminating the arbitrary phase difference between the two measured Jones vectors corresponding to the two incident polarization states to yield the correct Jones matrix. We investigated the various contrast mechanisms provided by Mueller-matrix OCT. Our OCT system for the first time offers simultaneously comprehensive polarization contrast mechanisms including the amplitude of birefringence, the orientation of birefringence, and the diattenuation in addition to the polarization-independent intensity contrast, all of which can be extracted from the measured Jones or the equivalent Mueller matrix. The experimental results obtained from rat skin samples, show that Mueller OCT provides complementary structural and functional information on biological samples and reveal that polarization contrast is more sensitive to thermal degeneration of biological tissues than amplitude-based contrast. Finally, an optical-fiber-based multi-channel Mueller-matrix OCT was built and a new rigorous algorithm was developed to retrieve the calibrated polarization properties of a sample. For the first time to our knowledge, fiber-based polarization-sensitive OCT was dynamically calibrated to eliminate the polarization distortion caused by the single-mode optical fiber in the sample arm, thereby overcoming a key technical impediment to the application of optical fibers in this technology.

Made available in DSpace on 2014-10-09T12:36:49Z (GMT). No. of bitstreams: 0 / Made available in DSpace on 2014-10-09T13:57:26Z (GMT). No. of bitstreams: 1 04327.pdf: 2200991 bytes, checksum: 4359f2ee2a626eaa629feb45cdeebc50 (MD5) / Dissertacao (Mestrado) / IPEN/D / Universidade Federal do Rio de Janeiro, Rio de Janeiro, RJ - COPPE

Este estudo abordou os aspectos teóricos e experimentais relacionados ao desenvolvimento de um sistema de tomografia por coerência óptica (OCT) no domínio de Fourier sensível à polarização (PS-FD-OCT) e a sua utilização na determinação da Matriz de Mueller (MM-OCT). O estudo iniciou-se com uma revisão bibliográfica que abordou desde os primeiros estudos relacionados à técnica até o estado da arte, bem como o formalismo matemático da interferometria de baixa coerência no domínio espectral e polarização da luz. Realizaram-se estudos baseados em simulação numérica sobre três tipos diferentes de algoritmos, responsáveis pela recuperação do sinal de espalhamento, sendo eles: a Transformada de Fourier Direta; Interpolação e Zero-Filling. Ao fim dessa etapa concluiu-se que o algoritmo Zero-Filling 2N apresentou melhores características quando comparado aos outros algoritmos. Na parte experimental, primeiramente, diferentes arranjos OCT foram montados e medidas realizadas para verificação aspectos relacionados à teoria. Consecutivamente, utilizando uma amostra polimérica, realizaram-se imagens de birrefringência, que permitiram a determinação da birrefringência da amostra quantitativamente. Finalmente, imagens em diferentes estados de polarização foram realizadas, através delas determinou-se as imagens referentes aos elementos das Matrizes de Mueller, que foram analisadas individualmente. / This study approached theoretical and experimental aspects related with the development of a polarization sensitive, Fourier domain, optical coherence tomography system (PS-FD-OCT) and its utilization on the Mueller Matrix determination. This work began with a bibliographic revision, which describes since the early studies to the actual state of the art of the technique. The mathematical formalism of Fourier domain low coherence interferometry and light polarization was performed as well. Studies based on numerical simulations, of three different algorithm types, responsible to recover the scattering profile, were done. The implemented algorithms were: Direct Fourier Transform, Interpolation and Zero-Filling. By the end of the simulation study, was possible to conclude that the algorithm Zero-Filling 2N presented better characteristics when compared with the others. In the experimental part, firstly different OCT setups were assembled and measurements were done in order to verify aspects related with the theory. Then, using a polymeric sample, birefringence images were performed, which allowed determining the sample birefringence quantitatively. Finally, images taken of different polarization states were collected, and through then images related with the Mueller Matrix elements were calculated, which were analyzed individually.

No description available.

La polarimétrie de Mueller est une technique optique qui mesure la réponse polarimétrique complète d’un milieu sous la forme d’une seule matrice de Mueller afin de remonter à ses propriétés optiques comme le dichroïsme, la biréfringence et la dépolarisation. Le couplage avec la microscopie non-linéaire (SHG par exemple) permet d’avoir accès à des informations précises sur un milieu biologique (structure, organisation, . . .). Cela impose de passer à une modalité d’imagerie à balayage laser, qui nécessite de mesurer la réponse polarimétrique du milieu pixel-par-pixel en des temps relativement courts (de l’ordre de la microseconde). Le but de cette thèse est de mettre en oeuvre un polarimètre de Mueller dont les cadences d’acquisition sont compatibles avec l’imagerie à balayage laser. Dans un premier temps, un polarimètre de Mueller inédit est proposé, basé sur le codage spectral de la polarisation dont toute l’information polarimétrique de l’échantillon est mesurée sous la forme d’un seul signal d’intensité en un temps record (10 μs). Ce dispositif est constitué d’une source à balayage rapide en longueur d’onde à 100 kHz (ou swept-source), de lames de phase d’ordre élevé et d’un détecteur monocanal. Les erreurs systématiques qui entachent la mesure sont évaluées et des méthodes de correction permettent de les prendre en compte dans une étape d’étalonnage qui utilise la réponse de deux milieux étalons.Ensuite, le polarimètre est implémenté dans un microscope commercial à balayage laser, utilisé initialement pour réaliser de l’imagerie non-linéaire (SHG). Cela requiert un redimensionnement du montage, ainsi que la synchronisation entre les deux systèmes. Par ailleurs, un protocole de calibration du dispositif est développé et permet de tenir compte de l’ensemble des erreurs systématiques du polarimètre indépendamment des anisotropies optiques engendrées par le microscope. Enfin, les premières images polarimétriques de Mueller en microscopie à balayage laser ont été acquises sur des échantillons inhomogènes spatialement (rubans adhésifs et cristaux de roches). La potentialité de la microscopie multimodale est démontrée sur des échantillons de fibroses de foie, en couplant l’imagerie polarimétrique de Mueller et la microscopie non-linéaire au sein d’un seul instrument. / Mueller polarimetry is an optical technique allowing the acquisition of the full polarimetric signature of a medium with a single Mueller matrix, and leading to its polarimetric parameters such as dichroism, birefringence and depolarization. Coupling Mueller polarimetry with nonlinear microscopy techniques (SHG for example), more precise information about the medium could be obtained (structure, organization . . .). This imaging technique uses a laser scanning system to measure the Mueller matrix of a medium point-to-point quickly (of the order of the microsecond). The aim of this thesis is to develop a Mueller polarimeter compatible with the laser scanning system. First, a new Mueller polarimeter is proposed using spectral encoding of the polarization and measuring the full polarimetric signature of a sample with a single channeled spectrum in a fast way (10 μs). This setup is composed of a 100 kHz swept-source laser, high order retarders and a single channel detector. Systematic errors on the Mueller matrix measurement are evaluated and correction methods take into account these errors in a calibration step that uses polarimetric signature of two references medium. Then, the polarimeter is implemented on a commercial laser scanning microscope that usually images non-linear contrasts (SHG). The update needs to reduce the dimension of the polarimeter and ensure an electronic synchronization between these two systems. However, a new calibration step is proposed and takes into account all the systematic errors of the polarimeter, independently of the optical anisotropy induced by the microscope. Finally, the images with the first Mueller scanning microscope are obtained with spatially inhomogeneous samples (cellophane tapes, rocks). The potentiality of the multimodal scanning microscopy Mueller/SHG on the same instrument is demonstrated in the case of hepatic fibrosis.

Background. The real-time renderers used in video games and similar graphics applications do not model the polarization aspect of light. Polarization parameters have previously been incorporated in some offline ray-traced renderers to simulate polarizing filters and various optical effects. As ray tracing is becoming more and more prevalent in real-time renderers, these polarization techniques could potentially be used to simulate polarization and its optical effects in real-time applications as well. Objectives. This thesis aims to determine if an existing polarization technique from offline renderers is, from a performance standpoint, viable to use in real-time ray-traced applications to simulate polarizing filters, or if further optimizations and simplifications would be needed. Methods. Three ray-traced renderers were implemented using the DirectX RayTracing API: one polarization-less Baseline version; one Polarization version using an existing polarization technique; and one optimized Hybrid version, which is a combination of the other two. Their performance was measured and compared in terms of frametimes and VRAM usage in three different scenes and with five different ray counts. Results. The Polarization renderer is ca. 30% slower than the Baseline in the two more complex scenes, and the Hybrid version is around 5–15% slower than the Baseline in all tested scenes. The VRAM usage of the Polarization version was higher than the Baseline one in the tests with higher ray counts, but only by negligible amounts. Conclusions.  The Hybrid version has the potential to be used in real-time applications where high frame rates are important, but not paramount (such as the commonly featured photo modes in video games). The performance impact of the Polarization renderer's implementation is greater, but it could potentially be used as well. Due to limitations in the measurement process and the scale of the test application, no conclusions could be made about the implementations' impact on VRAM usage. / Bakgrund. Realtidsrenderarna som används i videospel och liknande grafikapplikationer simulerar inte ljusets polarisering. Polariseringsinformation har tidigare implementerats i vissa stålföljningsbaserade (ray-traced) offline-renderare för att simulera polariseringsfilter och diverse optiska effekter. Eftersom strålföljning har blivit allt vanligare i realtidsrenderare så kan dessa polariseringstekniker potentiellt också användas för att simulera polarisering och dess optiska effekter i sådana program. Syfte. Syftet med denna rapport är att avgöra om en befintlig polariseringsteknik från offline-renderare, från en prestandasynpunkt, är lämplig att använda för att simulera polariseringsfilter i stålföljningsbaserade realtidsapplikationer, eller om ytterligare optimeringar och förenklingar behövs. Metod. DirectX RayTracing API:et har använts för att implementera tre stålföljningsbaserade realtidsrenderare: en polarisationsfri Baseline-version; en Polarization-version med en befintlig polariseringsteknik; och en optimerad Hybrid-version, som är en kombination av de andra två. Deras prestanda mättes och jämfördes med avseende på frametime och VRAM-användning i tre olika scener och med fem olika antal strålar per pixel. Resultat. Polarization-versionen är ca 30% långsammare än Baseline-versionen i de två mest komplexa scenerna, och Hybrid-versionen är ca 5–15% långsammare än Baseline-versionen i alla testade scener. Polarization-versionens VRAM-användningen var högre än Baseline-versions i testerna med högre strålantal, men endast med försumbara mängder. Slutsatser. Hybrid-versionen har potential att användas i realtidsapplikationer där höga bildhastigheter är viktiga, men inte absolut nödvändiga (exempelvis de vanligt förekommande fotolägena i videospel). Polarization-versionens implementation hade sämre prestanda, men även den skulle potentiellt kunna användas i sådana applikationer. På grund av mätprocessens begränsningar och testapplikationens omfattning så kunde inga slutsatser dras gällande implementeringarnas påverkan på VRAM-användning.

L’augmentation des débits des réseaux WDM impose des contraintes de plus en plus restrictives sur les composants optiques qui les constituent. La maîtrise rigoureuse des phénomènes tels que la dispersion chromatique ou la sensibilité à la polarisation prend une importance capitale. Dans le cas des filtres optiques, la combinaison de la réduction de la bande passante et de l'accentuation des pentes tend à faire apparaître des effets auparavant négligeables. La société Yenista Optics rencontre des difficultés à contrôler la perte dépendante de la polarisation (PDL) de ses filtres au cours du processus de fabrication. L’objectif de cette thèse est de définir une méthode permettant de caractériser correctement un filtre optique dit ultrafin, c'est à dire dont la bande passante est de l'ordre de la dizaine de picomètres et les pentes de l'ordre de plusieurs centaines de dB par nanomètre. / The increasing bit rate of WDM networks strengthens the constraints on the optical devices which constitute them. Strict monitoring of phenomena such as chromatic dispersion and polarization sensitivity becomes critical. In the case of optical filters, bandwidth reduction combined with steeper roll-offs unveil effects which were previously negligible. The Yenista Optics company encounters difficulties to control the polarization dependent loss of its optical filters during the manufacturing process. The goal of this thesis is to define a method which allows to accurately characterize polarization dependent loss of ultra-narrowband filters, that is filters whose the bandwidth is a few tens of picometers and the steepness is several hundreds of decibels per nanometer.