Results 11 to 20 of about 356 (177)
A Higher-order poincaré ellipsoid representation for non-cylindrical vector beams
Discover Applied SciencesThe Higher-Order Poincaré Sphere (HOPS) provides a powerful geometrical tool for representing vector beams as points on the surface of a unitary sphere. Since a particular position on the surface represents any spatial mode regardless of its shape, this ...
Dayver Daza-Salgado +4 more
doaj +2 more sources
On affine planes non-extensible to Laguerre planes and some related problems [PDF]
, 1991 summary:Some examples of affine planes non-extensible to a Laguerre plane are studied and conditions for the uniqueness of a Laguerre extension are ...
Gozdalska, Krystyna
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Stability of Erd\H{o}s-Ko-Rado Theorems in Circle Geometries
, 2022 Circle geometries are incidence structures that capture the geometry of circles on spheres, cones and hyperboloids in 3-dimensional space. In a previous paper, the author characterised the largest intersecting families in finite ovoidal circle geometries,
Adriaensen, Sam
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Harvesting the Spin-Orbit Interaction of Light to Generate Helicity-Dependent Complex Rotational Motion in Optically Trapped Mesoscopic Matter. [PDF]
NanophotonicsSpin–orbit interaction (SOI) of light is exploited to generate helicity‐dependent complex rotational and revolution dynamics in optical tweezers. At the trap center, particle rotation is governed by the direct helicity that follows the input polarization.
Kumar RN +4 more
europepmc +2 more sources
Laguerre geometries and some connections to generalized quadrangles
, 2007 A Laguerre plane is a geometry of points, lines and circles where three pairwise non-collinear points lie on a unique circle, any line and circle meet uniquely and finally, given a circle C and a point Q not on it for each point P on C there is a unique ...
Brown, M.
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A Characterization of Some Geometries of Chains
, 1974 The geometries considered here are the Möbius plane M() (W. Benz [1]), the Laguerre plane L() (W. Benz and H. Mäurer [7]) and the Minkowski plane A() (W. Benz [5], G. Kaerlein [18]
Yi Chen
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The Fundamental Theorem for locally projective geometries
, 2023 We deal with generalizations of the Fundamental Theorem of Projective Geometry to other related geometries (of dimension $\geq 3$) and non bijective maps.
de Salas, Juan B. Sancho
core
Coupling Fluid Neutrals to Gyrokinetic Plasma Dynamics for Edge and SOL Turbulence Simulations
Contributions to Plasma Physics, EarlyView.ABSTRACT Accurate modeling of turbulent transport in magnetic confinement fusion devices requires extending first‐principles gyrokinetic simulations from the core to the edge and scrape‐off layer (SOL), where additional physics—particularly plasma–neutrals interactions—must be included.
Sabine Ogier‐Collin +3 more
wiley +1 more source
A geometric proof of a theorem on antiregularity of generalized quadrangles [PDF]
, 2012 A geometric proof is given in terms of Laguerre geometry of the theorem of Bagchi, Brouwer and Wilbrink, which states that if a generalized quadrangle of order s > 1 has an antiregular point then all of its points are antiregular.
Wong, PPW, Pun, AY
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International Journal for Numerical Methods in Fluids, EarlyView.This article provides important geometric formulas for node‐centered, edge‐based schemes in any number of dimensions. These formulas are noteworthy, as they do not require the explicit formation of dual regions. We prove several key geometric results, with a particular focus on the four‐dimensional case, due to potential space‐time applications ...
Nicholas Tufillaro +2 more
wiley +1 more source