Are algebraic links in the Poincaré sphere determined by their Alexander polynomials?
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-019-02282-0
Abstract: The 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 $$S=\{(z_1,z_2,z_3)\in {\mathbb {C}}^3: z_1^5+z_2^3+z_3^2=0\}$$ S = { ( z 1… read more here.
Keywords: poincar sphere; vert vert; curve; alexander ... See more keywords
Metasurface-Enabled On-Chip Manipulation of Higher-Order Poincaré Sphere Beams.
Sign Up to like & getrecommendations! Published in 2023 at "Nano letters"
DOI: 10.1021/acs.nanolett.3c00021
Abstract: An integrated way to generate and manipulate higher-order Poincaré sphere beams (HOPBs) is a sought-after goal in photonic integrated circuits for high-capacity communication systems. Here, we demonstrate a novel method for on-chip generation and manipulation… read more here.
Keywords: sphere beams; poincar sphere; higher order; order poincar ... See more keywords
Metasurface-Based Solid Poincaré Sphere Polarizer.
Sign Up to like & getrecommendations! Published in 2023 at "Physical review letters"
DOI: 10.1103/physrevlett.130.123801
Abstract: The combination of conventional polarization optical elements, such as linear polarizers and waveplates, is widely adopted to tailor light's state of polarization (SOP). Meanwhile, less attention has been given to the manipulation of light's degree… read more here.
Keywords: poincar sphere; solid poincar; metasurface based; polarization ... See more keywords
All-fiber generation and Poincaré sphere representation of double superposition states of OAM modes.
Sign Up to like & getrecommendations! Published in 2025 at "Optics express"
DOI: 10.1364/oe.558681
Abstract: This paper proposes a hybrid-order orbital angular momentum Poincaré sphere to refine the representation of high-order spatial modes. The orbital angular momentum Poincaré sphere is extended to a more general form. Benefiting from the degenerate… read more here.
Keywords: generation; representation; hybrid order; poincar ... See more keywords
Fine-structure mapping of structured Laguerre-Gaussian beam states on the orbital Poincaré sphere
Sign Up to like & getrecommendations! Published in 2025 at "Computer Optics"
DOI: 10.18287/2412-6179-co-1562
Abstract: Elements of a 4D symplectic matrix P of second-order intensity moments are theoretically found and experimentally measured for paraxial structured Laguerre-Gaussian (sLG) beams with two control parameters—the amplitude e and phaseq. It is shown that… read more here.
Keywords: laguerre gaussian; structured laguerre; beam; slg beam ... See more keywords
Influence of Primary Coma on the Tightly Focusing Characteristics of Circular Basis Hybrid Order Poincaré Sphere Beams
Sign Up to like & getrecommendations! Published in 2024 at "Photonics"
DOI: 10.3390/photonics11010098
Abstract: Analogous to the Poincaré sphere, a hybrid order Poincaré sphere is used to represent the ellipse field singularities (C-points). We study the tight focusing properties of generic bright and dark hybrid order Poincaré sphere beams… read more here.
Keywords: order poincar; hybrid order; poincar; coma ... See more keywords