Polarization reconstruction with a digital micro-mirror device
20 Aug 2020-Vol. 11486, pp 1148609
TL;DR: In this paper, an all-digital technique by implementing a Polarization Grating (PG) which projects a mode into left and right-circular states which are subsequently directed to a Digital Micromirror Device (DMD) which imparts a phase retardance for full polarization acquisition.
Abstract: In this work, Stokes polarimetery is used to extract the polarization structure of optical fields from only four measurements as opposed to the usual six measurements. Here, instead of using static polarization optics, we develop an all-digital technique by implementing a Polarization Grating (PG) which projects a mode into left- and right-circular states which are subsequently directed to a Digital Micromirror Device (DMD) which imparts a phase retardance for full polarization acquisition. We apply our approach in real-time to reconstruct the State of Polarization (SoP) and intra-modal phase of optical modes.
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TL;DR: It is shown that, for a generic polarization state of the incident field, such a grating gives rise to first-order diffracted beams with counterrotating circular polarizations and can be used for measuring the Stokes parameters of a light beam in an achromatic manner.
Abstract: Ordinary gratings act on the amplitude and (or) the phase of a wave front. Polarization gratings produce instead a periodic modulation of the state of polarization. A simple grating of the latter type is constituted by a linear polarizer whose orientation varies periodically along a line. It is shown that, for a generic polarization state of the incident field, such a grating gives rise to first-order diffracted beams with counterrotating circular polarizations. It is also shown that such a grating can be used for measuring the Stokes parameters of a light beam in an achromatic manner. Several extensions are briefly discussed.
294 citations
TL;DR: A measuring system for determining the state of polarization of a beam of light in terms of its Stokes parameters which can be fully automated incorporates a monochromator and single photon counting detection and can be applied over a large wavelength range for very weak optical signals.
Abstract: We describe a measuring system for determining the state of polarization of a beam of light in terms of its Stokes parameters. The technique which can be fully automated incorporates a monochromator and single photon counting detection and can thus be applied over a large wavelength range for very weak optical signals. Fourier transformation of the data by an on-line minicomputer allows immediate calculation of the Stokes parameters. We discuss special applications to light emitted from excited atomic systems with and without cylindrical symmetry.
293 citations
PARC1
TL;DR: An accurate numerical method which circumvents two difficulties in using binary Fourier transform holograms and three different techniques for storing amplitude information in the binary computer-generated holograms are discussed.
Abstract: Binary computer-generated holograms are similar to interferograms with fringe patterns hardclipped by a photographic process. Therefore the fringe locations in the binary hologram can be determined by solving a grating equation. However, there are two difficulties in using this approach to make binary Fourier transform holograms. First the discrete Fourier transform provides only data at discrete sampling locations. Second, the phase angles thus calculated are given in terms of the residues of the original phase angles after multiples of 2pi rad are removed. In this paper an accurate numerical method which circumvents these two difficulties is described. Also discussed are three different techniques for storing amplitude information in the binary computer-generated holograms. The different solution methods discussed in this paper are further illustrated by a number of computer-generated holograms and their reconstructed images.
281 citations
"Polarization reconstruction with a ..." refers methods in this paper
...A cylindrical vector vortex mode can be described in standard polar coordinates as follows [19],...
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...At the DMD screen, binary holographic gratings (generated using the technique presented by Lee [19]) were displayed....
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TL;DR: A study of Poincaré-beam polarization patterns produced by collinear superposition of two Laguerre-Gauss spatial modes in orthogonal polarization eigenstates finds that the resulting patterns can be explained in terms of mappings of points on the Poincare sphere onto points in the transverse plane of the beam mode.
Abstract: We present a study of Poincare-beam polarization patterns produced by collinear superposition of two Laguerre–Gauss spatial modes in orthogonal polarization eigenstates (circular or linear). We explore theoretically and experimentally the combinations that are possible. We find that the resulting patterns can be explained in terms of mappings of points on the Poincare sphere onto points in the transverse plane of the beam mode. The modes that we produced yielded many types of polarization singularities.
237 citations
TL;DR: The Stokes formulation for representing polarized light is discussed in this paper along with the classical measurement method for determining the Stokes polarization parameters, and the rotating quarter-waveplate method, which avoids the limitations of the classical method and allows a curve fitting algorithm to be used to determine the stokes parameters.
Abstract: The Stokes formulation for representing polarized light is discussed along with the classical measurement method for determining the Stokes polarization parameters. The limitations of this method are noted, and we consider the rotating quarter-waveplate method, which avoids the limitations of the classical method and allows a curve fitting algorithm to be used to determine the Stokes parameters. The quarter-waveplate method is attractive because of its accuracy and simplicity and can be implemented in an undergraduate or graduate optics course with a minimum amount of equipment.
201 citations