Results 31 to 40 of about 356 (177)

Diagram geometries for sharply n-transitive sets of permutations or of mappings

, 1992
A characterization of sharply n-transitive sets of permutations or of mappings is given by means of Buekenhout diagrams. As a by-product, a characterization is obtained in the same style for finite Minkowski and Laguerre planes.
PASINI A.
core   +1 more source

Customizable Fully Structured Vector Trajectory Beams in the Focal Plane via a Single‐Layer Metasurface

Nanophotonics, Volume 15, Issue 10, 27 May 2026.
This work introduces a unique class of structured light—trajectory beams—where all degrees of freedom evolve dynamically along the predefined trajectory. By employing computer‐generated holography, single‐layer metasurfaces achieve the complete decoupling of trajectory shape and the distributions of amplitude, phase, and polarization along the path ...
Zhibang Tan, Zebin Chen, Zepeng Chen, Yantao Zheng, Min Ouyang, Wei Hu, Qing Wang, Lijun Wu, Qian Shou   +8 more
wiley   +1 more source

Non-Euclidean Laguerre Geometry and Incircular Nets [PDF]

, 2021
The first systematic introduction to non-Euclidean Laguerre geometry in the literature Demonstrates all features of Laguerre geometry in terms of one recent application: checkerboard incircular nets Beautifully illustrated by many render images ; This research was supported by the DFG Collaborative Research Center TRR 109 “Discretization in Geometry ...
Bobenko, Alexander I., Lutz, Carl O.R., Pottmann, Helmut, Techter, Jan   +3 more
openaire   +2 more sources

Euler‐Top Gaussian Modes: Structured Beams From Quadratic Angular Momentum Dynamics

Nanophotonics, Volume 15, Issue 9, 13 May 2026.
A new family of structured Gaussian light beams are introduced: Euler‐top Gaussian modes. Their ray‐orbital paths on the Gaussian Poincaré sphere correspond to the polhodes of the Euler top in classical angular momentum theory. This geometric and algebraic construction reveals a nonseparable mode family extending the familiar Hermite‐, Laguerre‐ and ...
Mark R. Dennis, Kerr Maxwell
wiley   +1 more source

The implicit equation of a canal surface [PDF]

, 2009
International audienceA canal surface is an envelope of a one parameter family of spheres. In this paper we present an efficient algorithm for computing the implicit equation of a canal surface generated by a rational family of spheres. By using Laguerre
Severinas Zube, Dohm, Marc, Zube, Severinas, Marc Dohm   +3 more
core   +1 more source

Interaction of Structured Light With Nanostructured Matter

Nanophotonics, Volume 15, Issue 9, 13 May 2026.
Structured light–matter interactions at the nanoscale remain poorly understood. We reveal a symmetry‐matched mechanism governing orbital‐angular‐momentum‐dependent extinction in gold nanodisk oligomers. Tailored diffractive optical elements generate flower‐like beams whose rotational symmetry dictates absorption. Experiments and a semi‐analytical model
Noah Apostolico, Leander Siegle, Luca Schmid, Tim‐Dominik Gómez, Julian Schwab, Mario Hentschel, Harald Giessen   +6 more
wiley   +1 more source

Reactive behaviour of the [LiH2]+ system : I. Evaluation of the lower-lying electronic potentials for the collinear geometries

, 2001
The reactive behavior of the [LiH2](+) system is investigated by Computing the potential energy surfaces (PES) for the collinear geometries. The three lowest-lying PESs have been obtained using a multireference valence bond approach and subsequently have
E. Bodo, Martinazzo, R., Bodo, E., GIANTURCO, Francesco Antonio, R. MARTINAZZO, BODO, Enrico, M. RAIMONDI, Gianturco, F. A., Raimondi, M., F. A. Gianturco   +9 more
core   +1 more source

Direct Photocurrent Detection of Optical Vortex Based on the Orbital Photo Galvanic Effect: Progress, Challenge, and Perspective

Advanced Science, Volume 13, Issue 27, 13 May 2026.
Direct orbital angular momentum (OAM) detection through the orbital photogalvanic effect offers a scalable route for integrated optoelectronics. This perspective evaluates symmetry‐driven material selection and demonstrates how electrode matrices enable the resolution of complex, mixed OAM modes.
Jinluo Cheng, Dehong Yang, Weiming Wang, Chang Xu, Zipu Fan, Dong Sun   +5 more
wiley   +1 more source

Hyperovals, Laguerre planes and hemisystems - an approach via symmetry [PDF]

, 2013
2013 Spring.Includes bibliographical references.In 1872, Felix Klein proposed the idea that geometry was best thought of as the study of invariants of a group of transformations.
Peterson, Chris, committee member, Penttila, Tim, advisor, Achter, Jeff, committee member, Bohm, Willem, committee member, Bayens, Luke, author   +4 more
core  

Interconversion of Optical to Terahertz Pulses in Nonlinear Beta Barium Borate Crystal

Advanced Physics Research, Volume 5, Issue 5, May 2026.
ABSTRACT Low‐temperature β‐phase barium borate (β‐BBO) is an important nonlinear crystal, widely utilized for optical second‐harmonic (SH) generation. Recent re‐measurements of refractive indices in the terahertz (THz) range reveal that β‐BBO is a positive uniaxial crystal.
Yingyu Guo, Boyuan Chen, Zhangshun Li, Zhiqiang Lan, Huiping Zhang, Lin Xi, Zuanming Jin, Yan Peng, Yiming Zhu   +8 more
wiley   +1 more source