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Over the last few decades, the use of light to control and manipulate microscopic particles has become widespread. These methods are enabling new areas of research to flourish across the physical and biological sciences. This thesis describes investigations into both optical trapping and the closely related field of optical sorting. It documents the development of a variety of new techniques. The thesis begins with a short review of optical trapping and existing methods for sorting mixtures of microscopic particles. The first half of this chapter highlights some of the reasons behind optical trapping's rapid growth in popularity. By reviewing an array of methods for sorting particles and discussing the relative merits of each, the case for optical sorting is established. The second chapter describes research into using a spatial light modulator to create three-dimensional optically trapped colloidal structures using the time-sharing technique. Limiting factors inherent in the technology are discussed in detail. The third chapter reviews a sophisticated particle-tracking software package that has proved to be a considerable success. It was developed explicitly with colloidal microscopy in mind and experimental plots produced by the software are used throughout the thesis. Experimental studies have been performed into the behaviour of microscopic particles moving under the influence of two classes of propagation-invariant beams: Mathieu beams and Bessel beams. The Bessel beam studies have been complimented by a theoretical model and have led ultimately to a new method for the static optical sorting of both solid particles and biological cells, with particular emphasis on human blood. The fifth and final chapter describes how re-configurable optical devices can be implemented to spatially separate different colloidal species. A new method for creating arbitrary optical landscapes using an acousto-optic modulator is reported. This new technique is then used to optically sort four particle species simultaneously - the first experimental demonstration of polydisperse optical fractionation. Additionally, experiments are reported that demonstrate controlled, static optical sorting using a spatial light modulator.

Fabry-Perot interferometer (FPI) devices are designed based on the electro-optic (EO) activities of nonlinear optical (NLO) polymer materials for tunable optical filters (TOFs) and spatial light modulators (SLMs). The performance of the EO polymer based FPI devices is theoretically modeled with first order approximation on the FPI cavity interface phase dispersion. NLO materials including TCBD coupled hybrid sol-gel, AJL8/amorphous polycarbonate (APC), and AJLS102/APC are incorporated in FPI structures with distributed Bragg reflector mirrors and transparent conducting oxide electrodes for TOFs. High finesse (over 200), low drive voltage (10 dB isolation ratio with 5 V), and fast settling time (about sub-millisecond) are achieved. The physical origin of the large tunabilities is explored and the contributions from EO effect and inverse piezoelectric effect are analyzed. EO polymer SWOHF3ME/APC is employed in FPI devices with simplified structures for SLMs. Modulation beyond megahertz level is achieved with constant modulation ratio from DC frequency to high operation speed. The operation speed can be potentially over gigahertz with improved device and drive circuit design. When the EO polymer based SLM is configured to work at near the resonance band of the NLO material, the spectral tunability is increased due to resonance enhanced EO activity and the SLM performance is significantly improved. The EO polymer based FPI devices can be further optimized and are promising candidates for many optoelectronic applications.

Um sistema multi-feixe de pinças ópticas baseado na técnica de contraste de fase da ordem zero pode apresentar vantagens significativas sobre sistemas mecanicamente complexos e sensíveis ao alinhamento, e sobre tecnologias que, apesar de serem similares, requerem a customização de componentes ópticos. Porém, ao nosso conhecimento, este sistema até agora não tem sido implementado experimentalmente. Neste trabalho tem-se desenvolvido, como prova de princípio, o primeiro sistema baseado na técnica de contraste de fase da ordem zero gerador de múltiplas pinças ópticas. Esta técnica da óptica de Fourier utiliza conceitos do contraste de fase de Zernike e técnicas de codificação de dois pixels para gerar padrões de intensidade no plano da imagem que são diretamente relacionados a distribuições de fase no plano de entrada do sistema, o qual é formado por um modulador espacial de luz (SLM). Esta dissertação de mestrado descreve detalhadamente os passos tomados com o propósito de utilizar os campos estruturados de luz gerados pelo sistema de contraste de fase da ordem zero para aprisionar esferas de 2 µm de diâmetro de sílica fundida. Neste trabalho apresentamos os fundamentos teóricos do aprisionamento óptico e da técnica de contraste de fase da ordem zero, seguidos pela implementação de experimentos independentes em cada modalidade, e finalmente apresentamos a integração de ambos os sistemas dentro um sistema único de pinças ópticas multi-feixe. Apesar da baixa eficiência óptica do sistema, foi possível implementar um sistema de pinças ópticas duplas. Finalizamos o nosso trabalho na discussão detalhada das limitações do nosso arranjo óptico e comentamos sobre potenciais melhorias para aumentar a rigidez das pinças ópticas e a qualidade geral do sistema. / A multi-beam optical trapping system based on the zero order phase contrast technique may offer significant advantages over mechanically-complex, alignment-sensitive optical trapping systems, and over technologies that, though similar, require the customization of optics components. However, to our knowledge, such a system has not been yet implemented experimentally. We have developed, as a proof of principle, what we think is the first system based on the zero order phase contrast technique to successfully generate multiple optical traps. This Fourier optics technique makes use of existing concepts of Zernike phase contrast and two-pixel encoding techniques to generate intensity patterns in the image plane that are directly related to phase distributions in the input plane, which is comprised by a spatial light modulator (SLM). This master\'s dissertation describes in detail the steps taken towards using the structured light fields generated by a zero order phase contrast system to trap 2 µm diameter fused silica beads. We present the theoretical foundations of optical trapping and the zero order phase contrast technique, followed by the implementation of independent laboratory experiments in each modality, and finally integrate both systems into a single optical setup for multi-beam trapping. In spite of the low optical efficiency of the system, we were able to implement dual optical traps. We finalize by discussing in detail the limitations of our experimental setup in and comment on potential improvements to increase the stiffness of the optical traps and the overall quality of the system.

<p>This research presents the development of a phase-based lithographic system for three-dimensional micropatterning and manipulation. The system uses a spatial light modulator (SLM) to display specially designed phase holograms. The use of holograms with the SLM provides a novel approach to photolithography that offers the unique ability to operate in both serial and single-shot modes. In addition to the lithographic applications, the optical system also possesses the capability to optically trap microparticles. New advances include the ability to rapidly modify pattern templates for both serial and single-shot lithography, individually control three-dimensional structural properties, and manipulate Janus particles with five degrees of freedom.</p><p>A number of separate research investigations were required to develop the optical system and patterning method. The processes for designing a custom optical system, integrating a computer aided design/computer aided manufacturing (CAD/CAM) platform, and constructing series of phase holograms are presented. The resulting instrument was used primarily for the photonic excitation of both photopolymers and proteins and, in addition, for the manipulation of Janus particles. Defining research focused on the automated fabrication of complex three-dimensional microscale structures based on the virtual designs provided by a custom CAD/CAM interface. Parametric studies were conducted to access the patterning transfer rate and resolution of the system.</p><p>The research presented here documents the creation of an optical system that is capable of the accurate reproduction of pre-designed microstructures and optical paths, applicable to many current and future research applications, and useable by anyone interested in researching on the microscale.</p> / Dissertation

The conventional light microscope is an indispensable tool for many physical and life science applications, but is of limited usefulness for three-dimensional imaging due to its increasingly narrow depth of field at high magnifications. Focused regions may be obscured by defocused neighbors or noise from extraneous light sources and subsurface scattering. By rejecting light originating from outside the depth of focus it is possible to minimize these problems. When a contiguous series of such focused slices, or optical sections, are obtained along an axis of an extended object they may be combined to form a complete, focused three-dimensional surface image. Here, a variety of methods to obtain optical sections in a reflective setup are presented. The first employs an optical feedback loop through a spatial light modulator (SLM) to selectively illuminate focused regions. The SLM is a flexible electro-optical device that also allows (non-feedback) experiments of an intensity modulated light source resulting in illumination with a linear structure. This structured illumination microscopy is an established sectioning technique, which requires three frame captures per axial position. By developing a color grid and exploiting the red, green, and blue channels of a CCD camera, the three frames have been reduced to one. The speed increase comes at a cost and the limiting effects of chromatic aberration are discussed. Digital holography offers an alternative to axial scanning by allowing the surface to be reconstructed from a single exposure. Use of multiple wavelength illumination with this extended focus imaging is proposed and preliminary results are shown.

A tunable snapshot imaging spectrometer has been demonstrated. A liquid crystal spatial light modulator (LC SLM) has been integrated into a computed tomographic imaging spectrometer (CTIS) to achieve tunability. The LC SLM allows for rapid, programmable, and non-mechanical alteration of its phase profile by the application of appropriate voltages to its transparent electrodes.The goal of this dissertation is twofold: (1) to integrate a liquid crystal spatial light modulator into a CTIS instrument and characterize its performance as a tunable CTIS disperser, and (2) to implement tunability by analyzing different CTIS configurations.The theoretical model of CTIS operation, calibration, reconstruction, and disperser design are covered in detail. The cross talk of the LC SLM forces the use of a feedback design algorithm rather than designing the desired phase profile a priori in the computer. The modifications to the current polychromatic linear inversion technique for use with the LC SLM in feedback are presented. The result of the modifications is the successful integration of a reprogrammable (i.e. tunable) disperser for the CTIS instrument.The implementation of tunability is explored by analyzing the spectral resolution of a reconstructed point source for different disperser configurations. A method for experimentally determining the CTIS spectral resolution is presented.

Um sistema multi-feixe de pinças ópticas baseado na técnica de contraste de fase da ordem zero pode apresentar vantagens significativas sobre sistemas mecanicamente complexos e sensíveis ao alinhamento, e sobre tecnologias que, apesar de serem similares, requerem a customização de componentes ópticos. Porém, ao nosso conhecimento, este sistema até agora não tem sido implementado experimentalmente. Neste trabalho tem-se desenvolvido, como prova de princípio, o primeiro sistema baseado na técnica de contraste de fase da ordem zero gerador de múltiplas pinças ópticas. Esta técnica da óptica de Fourier utiliza conceitos do contraste de fase de Zernike e técnicas de codificação de dois pixels para gerar padrões de intensidade no plano da imagem que são diretamente relacionados a distribuições de fase no plano de entrada do sistema, o qual é formado por um modulador espacial de luz (SLM). Esta dissertação de mestrado descreve detalhadamente os passos tomados com o propósito de utilizar os campos estruturados de luz gerados pelo sistema de contraste de fase da ordem zero para aprisionar esferas de 2 &#181;m de diâmetro de sílica fundida. Neste trabalho apresentamos os fundamentos teóricos do aprisionamento óptico e da técnica de contraste de fase da ordem zero, seguidos pela implementação de experimentos independentes em cada modalidade, e finalmente apresentamos a integração de ambos os sistemas dentro um sistema único de pinças ópticas multi-feixe. Apesar da baixa eficiência óptica do sistema, foi possível implementar um sistema de pinças ópticas duplas. Finalizamos o nosso trabalho na discussão detalhada das limitações do nosso arranjo óptico e comentamos sobre potenciais melhorias para aumentar a rigidez das pinças ópticas e a qualidade geral do sistema. / A multi-beam optical trapping system based on the zero order phase contrast technique may offer significant advantages over mechanically-complex, alignment-sensitive optical trapping systems, and over technologies that, though similar, require the customization of optics components. However, to our knowledge, such a system has not been yet implemented experimentally. We have developed, as a proof of principle, what we think is the first system based on the zero order phase contrast technique to successfully generate multiple optical traps. This Fourier optics technique makes use of existing concepts of Zernike phase contrast and two-pixel encoding techniques to generate intensity patterns in the image plane that are directly related to phase distributions in the input plane, which is comprised by a spatial light modulator (SLM). This master\'s dissertation describes in detail the steps taken towards using the structured light fields generated by a zero order phase contrast system to trap 2 &#181;m diameter fused silica beads. We present the theoretical foundations of optical trapping and the zero order phase contrast technique, followed by the implementation of independent laboratory experiments in each modality, and finally integrate both systems into a single optical setup for multi-beam trapping. In spite of the low optical efficiency of the system, we were able to implement dual optical traps. We finalize by discussing in detail the limitations of our experimental setup in and comment on potential improvements to increase the stiffness of the optical traps and the overall quality of the system.

Photonics, the technological field that encompasses all aspects of light, has been rapidly growing and increasingly useful in uncovering fundamental truths about nature. It has helped detect gravitational waves, allowed for a direct measurement of the quantum wave function, and has helped realize the coldest temperatures in the universe. But photonics has also had an enormous impact on day-to-day life as well; it has enabled high capacity and/or high speed telecommunication, offered cancer treatment solutions, and has completely revolutionized display and scanning technology. All of these discoveries and applications have required a superb understanding of light, but also a high degree of control over the sometimes abstract properties of light. The work contained in this thesis explores two novel means of controlling and manipulating two different abstract properties of light. In Part I, the property under investigation is the polarization state of light – a property that is paramount to all light-matter interactions, and even some light-light interactions such as interference. Here, a liquid crystal on silicon spatial light modulator (LCOS-SLM)’s capabilities in manipulating the polarization state of light is theoretically examined and experimentally exploited, tested, and reported on. It is found through experimentation that, for an appropriate range of beam sizes and input polarizations, a single LCOS-SLM can be used to produce any light field with an arbitrary, spatially varying polarization profile. In Part II, the property under investigation loosely corresponds to light’s spatial degree of freedom – how light can move from one spot in space to another in a non-trivial manner. Here, control over light’s position through a waveguide array through the use of quantum geometric phase is theoretically examined, simulated, and experimentally designed. It is found through simulation that a threewaveguide array is capable of implementing two dimensional unitary transformations. The common theme between Part I and Part II is manipulating these properties of light to realize classes of general transformations. Moreover, if the light field is treated as a quantum state in the basis of either property under investigation, a two dimensional computational basis ensues. This is precisely the right cardinality for applications in quantum information.

In the presented thesis the topic of femtosecond pulse dispersion and methods of characterizing pulse profile are briefly introduced. Then, a functionality of a spatial light modulator is described. The spatial light modulator was used in an experimental scheme called the pulse shaper, which allowed independent amplitude and phase modulation of pulses. Duration and dispersion of pulses was measured by two methods called MIIPS and PICASO. MIIPS was also used for a reconstruction of a spectral phase of pulses. The autocorrelator was constructed on a design of the Mach-Zehnder interferometer. The duration of the shortest measured pulse (13.3 ± 0.5) fs was retrieved from measured interferometric autocorrelations by PICASO. Furthermore, theoretical dependence of pulse duration on the group delay dispersion was confirmed for pulses shorter than 120 fs. The group velocity dispersion was measured for fused silica windows and for a pair of diffraction gratings in the pulse shaper. Both values confirmed theoretical expectations.