This thesis encompasses a collection of four pieces of work on wave-particle duality, weak-value-assisted tomography, high-dimensional quantum key distribution, and phase-only holograms. In the work on duality, we derive a novel duality relation, and we sketch a thought experiment that leads to an apparent violation of the duality principle. In the project on tomography, we perform a state determination procedure with weak values, and we study the accuracy of the method. In the quantum cryptography project, we optimize an experimental implementation of a quantum cryptography system where two parties share information with the orbital angular momentum degree of freedom of entangled photon pairs. Finally, in the work on holography, we establish the exact solution to the encryption of a phase-only hologram, and experimentally demonstrate its application to spatial light modulators. The four projects provide improvements on measurement procedures in applied and fundamental quantum mechanics.

abstract: In the frenzy of next generation genetic sequencing and proteomics, single-cell level analysis has begun to find its place in the crux of personalized medicine and cancer research. Single live cell 3D imaging technology is one of the most useful ways of providing spatial and morphological details inside living single cells. It provides a window to uncover the mysteries of protein structure and folding, as well as genetic expression over time, which will tremendously improve the state of the fields of biophysics and biomedical research. This thesis project specifically demonstrates a method for live single cell rotation required to image them in the single live cell CT imaging platform. The method of rotation proposed in this thesis uses dynamic optical traps generated by a phase-only spatial light modulator (SLM) to exert torque on a single mammalian cell. Laser patterns carrying the holographic information of the traps are delivered from the SLM through a transformation telescope into the objective lens and onto its focal plane to produce the desired optical trap "image". The phase information in the laser patterns being delivered are continuously altered by the SLM such that the structure of the wavefront produces two foci at opposite edges of the cell of interest that each moves along the circumference of the cell in opposite axial directions. Momentum generated by the motion of the foci exerts a torque on the cell, causing it to rotate. The viability of this method was demonstrated experimentally. Software was written using LabVIEW to control the display panel of the SLM. / Dissertation/Thesis / M.S. Bioengineering 2013

A method of holographic cross-connection is proposed for an Optical Ising machine system. The designed optical Ising machine based on multi-core fiber laser is introduced, including the theory of computation, history of optical computing, the concept of Ising model, the significance of optical Ising machine, the method to achieve Ising machine optically. The cross-connection part is based on computer-generated holograms (CGH), which is produced by Gerchburg-Saxton algorithm. The coupling coefficient between two channels as well as the phase change are controlled by CGHs. The design of holograms is discussed. The instrument used to display holograms is phase-only liquid crystal spatial light modulator (SLM) from HOLOEYE company. The optical system needed in this project, such as collimation lens and relay lens, is designed using Zemax. The system is first evaluated in Zemax simulation, and then constructed experimentally. The results show that we can control amplitude and phase of the reinjection beam at Multi-core fiber. Further experiment should be done to conclude that the control of the cross coupling between channels is achieved by displaying different holograms.

Ces dernières années, des avancées considérables ont été obtenues dans le domaine des capteurs à fibres optiques, principalement grâce à l’élan des applications industrielles, de plus en plus diverses et nombreuses (monitoring de structures, surveillance, environnement, applications médicales, ….). Cette thèse concerne le domaine des antennes acoustiques SONAR en technologie « tout-optique » Dans ce travail, nous nous sommes intéressés à l’étude d’un capteur de contrainte longitudinale à fibre optique. La modulation de phase optique induite par la contrainte est démodulée par un interféromètre adaptatif basé sur le principe de l’holographie dynamique. Cet interféromètre permet, par essence, (i) le filtrage des perturbations basse fréquence de l’environnement, (ii) un fonctionnement en régime linéaire (iii) la démodulation d’un front d’onde complexe, type speckle issu d’une fibre optique multimode. L’holographie dynamique repose sur l’interaction entre deux ondes optiques dans un milieu non-linéaire. Pour notre application, le milieu non-linéaire retenu est un modulateur spatial de lumière adressé optiquement (OASLM) à 1,55 μm. Nous présentons tout d’abord nos travaux de conception, réalisation et caractérisation de l’interféromètre adaptatif. Nous démontrons ensuite un capteur de contrainte à fibre optique basé sur cet interféromètre. Nous étudions également l’augmentation de sensibilité du capteur par l’utilisation d’une fibre optique multimode. Nous discutons finalement nos résultats et le potentiel de la technologie étudiée au regard de l’application visée. / Fiber optic sensors are a key technology for future developments with a large field of applications ranging from structure health monitoring to medical applications. Due to its high compactness, its electromagnetic immunity and the low transmission losses in the telecom window, optical fibers are very promising for underwater acoustic waves detection. We present a method relying on adaptive holographic interferometry based on two beam coupling in an optically addressed spatial light modulator (OASLM). This method allows filtering the slow phase perturbations coming from the environment directly on the sensing optical fiber. In this work, we will first introduce the OASLM operating at 1,55 μm that we have manufactured and the realization of an adaptive holographic interferometer based on this component. Moreover, we will show that it is possible to associate this demodulation method with a multimode optical fiber to reach a better sensitivity. Finally, we will focus on sensors architectures to evaluate the benefit of this technology compared to conventional techniques.

The cavity supports the orthogonal reference beam families as its eigenmodes while enhancing the reference beam power. Such orthogonal eigenmodes are used as additional degree of freedom to multiplex data pages, consequently increase storage densities for volume Holographic Data Storage Systems (HDSS) when the maximum number of multiplexed data page is limited by geometrical factor. Image bearing holograms are multiplexed by orthogonal phase code multiplexing via Hermite- Gaussian eigenmodes in a Fe: LiNbO3 medium with a 532 nm laser at multiple Bragg angles by using Liquid Crystal on Silicon (LCOS) spatial light modulators (SLMs) in reference arms. Total of nine holograms are recorded with three angular and three eigenmode.

This thesis encompasses a collection of four pieces of work on wave-particle duality, weak-value-assisted tomography, high-dimensional quantum key distribution, and phase-only holograms. In the work on duality, we derive a novel duality relation, and we sketch a thought experiment that leads to an apparent violation of the duality principle. In the project on tomography, we perform a state determination procedure with weak values, and we study the accuracy of the method. In the quantum cryptography project, we optimize an experimental implementation of a quantum cryptography system where two parties share information with the orbital angular momentum degree of freedom of entangled photon pairs. Finally, in the work on holography, we establish the exact solution to the encryption of a phase-only hologram, and experimentally demonstrate its application to spatial light modulators. The four projects provide improvements on measurement procedures in applied and fundamental quantum mechanics.

In this dissertation, I am presenting my research on the fabrication and simulation of the optical properties of 3D photonic crystals and 2D graded photonic super-crystals. The 3D photonic crystals were fabricated using holographic lithography with a single, custom-built reflective optical element (ROE) and single exposure from a visible light laser. Fully 3D photonic crystals with 4-fold, 5- fold, and 6-fold symmetries were fabricated using the flexible, 3D printed ROE. In addition, novel 2D graded photonic super-crystals were fabricated using a spatial light modulator (SLM) in a 4f setup for pixel-by-pixel phase engineering. The SLM was used to control the phase and intensity of sets of beams to fabricate the 2D photonic crystals in a single exposure. The 2D photonic crystals integrate super-cell periodicities with 4-fold, 5-fold, and 6-fold symmetries and a graded fill fraction. The simulations of the 2D graded photonic super-crystals show extraordinary properties such as full photonic band gaps and cavity modes with Q-factors of ~106. This research could help in the development of organic light emitting diodes, high-efficiency solar cells, and other devices.

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