Efficient control of light polarization is essential in any optical systems where polarized light is used or polarization information is of interest. In addition to intensity and wavelength, polarization of light gives a very useful/powerful tool to control light itself and observe many interesting optical phenomena in nature and applications. Most available light sources, however, produce unpolarized or weakly polarized light except some of fancy lasers. Therefore, efficient polarization control/generation is important to improve/advance existing or emerging technologies utilizing polarized light. It is also true that polarization can be used to control another properties of light (i.e., intensity, direction).We have introduced and demonstrated achromatic polarization gratings (PGs) as broadband polarizing beam splitters performing &sim100% theoretical efficiency over a wide spectral range. The novel design of achromatic PGs and their effective fabrication method will be presented. Experimental demonstration will show that practically 100% efficient diffraction is achieved by achromatic PGs embodied as thin liquid crystal (LC) layers patterned by holographic photoalignment techniques.Non-ideal diffraction behaviors of the PGs also have been investigated beyond the paraxial limitations via numerical analysis based on the finite-difference time-domain method. We, first, study the effect of the grating regime for this special type of anisotropic diffraction gratings with the minimum assumptions. Optical properties of the PGs at oblique incidence angles and in a finite pixel are numerically predicted and confirmed by experiments. Design and fabrication of small-period PGs are discussed to show how to achieve high diffraction efficiency and large diffraction angles at the same time.Three key innovative technologies utilizing the unique diffraction properties of the PGs have been introduced and experimentally demonstrated. The first application for light-efficient LC displays is the polymer-PG display, which allows an immediate brightness improvement (up to a factor of two) of conventional LC displays by replacing absorbing polarizers with achromatic PGs as thin, transmissive polymer films. We demonstrate the first proof-of-concept prototype projector based on the polymer-PG display and we also discuss optical design considerations and challenges toward a viable solution for our ultrabright pico-projector applications of the polymer-PG display. Second, two novel beam steering concepts based on the PG diffraction have been proposed. The polarization-sensitive diffraction of the PGs provides very attractive beam steering operations with ultra-high efficiency over wide steering angles by all-thin-plate electro-optical systems. We developed a non-mechanical, wide-angle beam steering system using stacked PGs and LC waveplates, and we also demonstrated a continuous beam steering using two rotating PGs, named the Risley grating as a thin-plate version of the Risley prism. The third PG application is in imaging and non-imaging spectropolarimetry. We have shown a snapshot, hyperspectral, full-Stokes polarimeter using inline PGs and quarter-waveplates. The use of PGs as a new polarimetric element for astronomical instruments in the mid-wave IR wavelengths also has been proposed to overcome current limitations of existing IR polarimeters.In the last part of this Dissertation, we introduce a polarization-type Fresnel zone plates (P-FZPs), comprising of spatially distributed linear birefringence or concentric PG (CPG) patterns. Effective fabrication methods of P-FZPs have been developed using polarization holography based on the Michelson interferometer and photoalignment of LC materials. We demonstrated high-quality P-FZPs, which exhibit ideal Fresnel-type lens effects, formed as both LC polymer films and electro-optical LC devices. We also discuss the polarization-selective lens properties of the P-FZPs as well as their electro-optical switching.In summary, we have explored the fundamental diffraction behavior of the polarization gratings and their applications in advanced optics and photonics. The achromatic designs of the PGs allow their broadband diffraction operation over a wide range of spectrum, which increases the applicability of the PGs with a great extent. Three novel technologies that directly benefit from the distinct diffraction properties of the PGs have been developed. In addition, a new diffractive lens element operating solely on light polarization has been introduced and experimentally demonstrated. We conclude this Dissertation with our suggestions of a number of potential innovations and advances in technologies that can be enabled by polarization gratings and related technologies.
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