Results 41 to 50 of about 548,689 (195)

Symmetries Shared by the Poincaré Group and the Poincaré Sphere

open access: yes, 2013
Henri Poincaré formulated the mathematics of Lorentz transformations, known as the Poincaré group. He also formulated the Poincaré sphere for polarization optics.
Noz, Marilyn E.   +3 more
core   +1 more source

Moiré Phase Mapping in Twisted Bilayer Liquid Crystals with Reconfigurable Light Polarization States

open access: yesAdvanced Materials, EarlyView.
Twisted bilayer liquid crystals are developed by vertical stacking assembly of two liquid crystals having designer domains and optical properties. These moiré‐symmetry, twisted liquid crystals demonstrate reconfigurable polarization states, moiré patterns and phases controlled by twist angles, providing a route to design active optical devices for ...
Jordan A. Wilson   +7 more
wiley   +1 more source

Generation of Vector Vortex Beams Based on the Optical Integration of Dynamic Phase and Geometric Phase

open access: yesPhotonics, 2023
The phase and polarization of electromagnetic waves can be conveniently manipulated by the dynamic phase and geometric phase elements. Here, we propose a compact optical integration of dynamic phase and geometric phase to generate arbitrary vector vortex
Kuiming Zeng   +3 more
doaj   +1 more source

Basis‐Independent Geometric Phase Modulation in Circularly Birefringent Plasmonic Structures

open access: yesAdvanced Optical Materials, EarlyView.
Here we introduce a plasmonic metasurface composed of spatially rotated chiral spiral unit cells designed to produce space‐variant circular retardance. This generates a geometric phase ramp equivalent to a blazed grating, leading to polarization dependent diffraction orders in momentum space.
Pasha Goz   +3 more
wiley   +1 more source

Metasurface‐Based Multidimensional Light‐Field Manipulation: From Technologies to Applications

open access: yesAdvanced Science, EarlyView.
Multidimensional metasurfaces enable versatile manipulation of multiple optical degrees of freedom, including phase, amplitude, polarization, wavelength, and orbital angular momentum. This review summarizes their fundamental mechanisms, emerging strategies for multidimensional light‐field control, and key applications in optical computing, imaging ...
Heliang Yin   +6 more
wiley   +1 more source

Constant co-polarized echo curves on the Poincare sphere

open access: yesJournal of Telecommunications and Information Technology, 2001
A set of useful formulae has been presented allowing for computation of the equipower curves on the Poincare sphere of the co-polarized radar returns for both mono- and bi-static scatterings.
Zbigniew H. Czyż
doaj   +1 more source

Are algebraic links in the Poincaré sphere determined by their Alexander polynomials?

open access: yes, 2020
Producción CientíficaThe Alexander polynomial in several variables is defined for links in three-dimensional homology spheres, in particular, in the Poincaré sphere: the intersection of the surface S={(z1,z2,z3)∈C3:z51+z32+z23=0} with the 5-dimensional ...
Delgado de la Mata, Félix   +2 more
core   +1 more source

Advanced Mathematical Extensions of Data Field Theory: Hyperbolic Geometry, Gauge Theory, and Higher Structures

open access: yesAdvanced Physics Research, EarlyView.
This graphical abstract illustrates the unified framework of Data Field Theory (DFT), integrating hyperbolic geometry for hierarchical embedding, gauge theory for internal symmetries, renormalization group for multi‐scale dynamics, Lévy processes for heavy‐tailed fluctuations, noncommutative geometry for quantum‐inspired cognition, and higher ...
Mohammadreza Nehzati
wiley   +1 more source

Toward polarization steganography [PDF]

open access: yesAPL Photonics
We propose and experimentally demonstrate a polarization-based steganographic scheme using partially polarized vector beams. In our approach, the spatially-dependent polarization structure of the optical field serves as the carrier through which the ...
Valeria Tena-Piñon   +8 more
doaj   +1 more source

Geometric Interpretation and General Classification of Three-Dimensional Polarization States through the Intrinsic Stokes Parameters

open access: yesPhotonics, 2021
In contrast with what happens for two-dimensional polarization states, defined as those whose electric field fluctuates in a fixed plane, which can readily be represented by means of the Poincaré sphere, the complete description of general three ...
José J. Gil
doaj   +1 more source

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