Generating Helical Polymorphic Beams Using Dielectric Metasurfaces
Helix‐shaped polymorphic beams are optical fields whose intensity maxima spiral around the propagation axis, enabling particle manipulation through attractive or repulsive forces. Traditionally requiring expensive spatial light modulators, metasurfaces now provide a compact, cost‐effective alternative. This work demonstrates general helical polymorphic
Maryam Setareh +3 more
wiley +1 more source
Shifted Poisson structures on higher Chevalley-Eilenberg algebras. [PDF]
Kemp C, Laugwitz R, Schenkel A.
europepmc +1 more source
The Graded Lie Algebras of an Algebra
openaire +2 more sources
Good Real Perturbations of Simple Corank One Map Germs From R3$\mathbb {R}^3$ to R3$\mathbb {R}^3$
ABSTRACT The existence of good real perturbations of map germs is one of the most interesting open questions in singularity theory. In this paper, we investigate this question for all simple corank one map germs from R3$\mathbb {R}^3$ to R3$\mathbb {R}^3$, we give a complete description of those that admit a good real perturbation.
A. J. Miranda, M. J. Saia, T. O. Souza
wiley +1 more source
Nonlinear Projection for Ballistic Correlation Functions: a Formula in Terms of Minimal Connected Covers. [PDF]
Doyon B.
europepmc +1 more source
A Test Function Method for Weakly Coupled Systems With Derivative‐Type Nonlinearity
ABSTRACT We consider a two by two system of inequalities which include fractional powers of the Laplace operator, coupled through a semilinear term of derivative type. We prove the nonexistence of global‐in‐time weak solutions for powers below the critical curve and possibly on the critical curve.
Marcello D'Abbicco, Antonio Lagioia
wiley +1 more source
Structure of the (Total) Transformation Monoids Under Rank N Generators. [PDF]
M Sulaiman H, Al-Aadhami A.
europepmc +1 more source
Hearing the Serre Invariant of a Compact p‐Adic Analytic Manifold
ABSTRACT Using a previous novel way of defining kernel functions for Laplacian integral operators on a compact p$p$‐adic analytic manifold X$X$, one such operator Δ0s$\Delta _0^s$ with s∈R$s\in \mathbb {R}$ is applied to hearing the Serre invariant i(X)$i(X)$ by showing that a wavelet eigenvalue (with the wavelet having small support) is always ...
Patrick Erik Bradley +1 more
wiley +1 more source
Interplay Between Vertical and Horizontal Schemes of Computation: From Bayesian Inference to Quantum Logic via Gluing Boolean Algebras. [PDF]
Gunji YP +7 more
europepmc +1 more source
Peskine Sixfolds and Debarre–Voisin Fourfolds With Associated Cubic Fourfolds
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 +3 more
wiley +1 more source

