Results 41 to 50 of about 548,689 (195)
Symmetries Shared by the Poincaré Group and the Poincaré Sphere
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
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
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
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
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
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?
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
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]
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
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
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