Results 91 to 100 of about 470,881 (224)

Dual‐Metasurface‐Integrated Fiber Array for Bidirectional Cylindrical‐Vector‐Beam Multiplexed Communication Using Off‐Axis Spatial Manipulation

Laser &Photonics Reviews, EarlyView.
A dual‐layer metasurface is integrated on a fiber‐array facet to realize compact, plug‐and‐play free‐space optical links with cylindrical vector beam (CVB) space‐division multiplexing. An optimized off‐axis collimation layer steers multiple channels, while a Dammann vortex layer performs polarization–topology conversion for bidirectional CVB (de ...
Xipeng Lu, Jinke Li, Jin Tae Kim, Shaoyan Li, Hongliang Li, Duk‐Yong Choi, Sang‐Shin Lee   +6 more
wiley   +1 more source

A polynomial algebraic approach to Lyapunov stability analysis of higher-order 2D systems

, 2010
We introduce a four-variable polynomial matrix equation which plays an essential role in the stability analysis of discrete 2-D systems and in the computation of Lyapunov functions for such systems; we call this the 2-D polynomial Lyapunov equation (2-D ...
Kojima, Chiaki, Takaba, Kiyotsugu, Rapisarda, Paolo   +2 more
core   +1 more source

Boundedness results for families of non-canonically polarized projective varieties [PDF]

We prove that, over a smooth quasi-projective curve, the set of non-isotrivial, smooth and projective families of polarized varieties with a fixed Hilbert polynomial and semi-ample canonical bundle is bounded.
Ascher, Kenneth, Taji, Behrouz
core  

Hilbert curves of polarized varieties

, 2010
Let X be a normal Gorenstein complex projective variety. We introduce the Hilbert variety VX associated to the Hilbert polynomial χ(x1L1+⋯+xρLρ), where L1,…,Lρ is a basis of Pic(X), ρ being the Picard number of X, and x1,…,xρ are complex variables. After
A. Lanteri, BELTRAMETTI, MAURO CARLO, A. J. Sommese, M. C. Beltrametti   +3 more
core   +1 more source

Wavefront Shaping for Optimal Extinction of Focused Light by Individual Nanoscatterers

Laser &Photonics Reviews, EarlyView.
Wavefront shaping enables near‐complete optical extinction by nanoscatterers separated from a planar reflector. Time‐reversed emission profiles provide optimal illumination conditions, yielding 70% extinction from a single plasmonic nanoparticle and up to 90% from sub‐wavelength nanoparticle clusters, offering a promising route to efficient in‐ and out‐
Nick Feldman, Joris Pals, Arie J. den Boef, F. Javier García de Abajo, Lyubov V. Amitonova, A. Femius Koenderink   +5 more
wiley   +1 more source

On the Neighbourhood Polynomial

, 2017
The neighbourhood polynomial of a graph is the generating function for the neighbourhood complex, which contains all subsets of vertices which have a common neighbour. We begin with some formulas for computing the neighbourhood polynomial. We then show a
Day, Dylan
core  

Peskine Sixfolds and Debarre–Voisin Fourfolds With Associated Cubic Fourfolds

Mathematische Nachrichten, EarlyView.
ABSTRACT We develop the notion of Peskine sixfolds with associated K3 surfaces and cubic fourfolds and work out numerical conditions for when these associations occur. In discriminant 24, the first family for which there is an associated cubic fourfold, we identify the cubic explicitly.
Corey Brooke, Laure Flapan, Sarah Frei, Lisa Marquand   +3 more
wiley   +1 more source

An Implicit Nodal–Staggered Finite Difference Scheme for Damped Shear Beam Models Without Rotational Inertia

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We develop and analyze a fully discrete finite difference approximation for a damped shear beam model with mixed boundary conditions and no rotational inertia. The absence of a second‐order time derivative in the rotational equation gives rise to an asymmetric temporal structure.
Anderson de Jesus Araújo Ramos, André Fellipe Ribeiro de Almeida, Manoel Jeremias Dos Santos, Carlos Alberto da Silva Nonato   +3 more
wiley   +1 more source

On the Reconstruction of Planar Vector Fields From Its Longitudinal and Transverse Ray Transform

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We consider a planar vector tomography problem of reconstructing a complex‐valued vector field from the (complete and partial) information of its longitudinal and transverse ray transforms, as well as from one of those transforms and its first moment.
Kamran Sadiq
wiley   +1 more source

Enhancing the reliability of skin tone evaluation: A study of full-face imaging devices with colour calibration. [PDF]

Int J Cosmet Sci
This study offers insights into colour measurement for skin tone evaluation, demonstrating the value of using a ColorChecker and colour calibration to ensure reliable and accurate skin tone measurements. Abstract Background Skin colour measurement is common and essential to clinical evaluation, especially for product efficacy evaluation and research on
Wang W, Wang Y, Liu C, Steel A, Flament F.   +4 more
europepmc   +2 more sources