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In this paper, we consider the intensity surface of a 2D image, we study the evolution of the symmetry sets (and medial axes) of 1-parameter families of iso-intensity curves. This extends the investigation done on 1-parameter families of…

Differential Geometry · Mathematics 2009-12-02 Andre Diatta , Peter Giblin

We explain a classical construction of a del Pezzo surface of degree d = 4 or 5 as a smooth order two congruence of lines in 3-space whose focal surface is a quartic surface $X_{20-d}$ with 20-d ordinary double points. We also show that…

Algebraic Geometry · Mathematics 2019-09-25 Igor Dolgachev

Orders on surfaces provide a rich source of examples of noncommutative surfaces. Other than some existence results, very little is known about the various moduli spaces that can be associated to them. Even fewer examples have been…

Algebraic Geometry · Mathematics 2013-05-14 Boris Lerner

An antenna prototype utilizing artificial impedance surfaces to control the near field distribution is described. The antenna is a folded dipole placed above a finite-size artificial impedance surface. We have found that the field screening…

Motivated by a kind of Penrose correspondence, we investigate the space of hyperplane sections of Segre quartic surfaces which have an ordinary cusp. We show that the space of such hyperplane sections is empty for two kinds of Segre…

Algebraic Geometry · Mathematics 2021-08-17 Nobuhiro Honda , Ayato Minagawa

Waveguides are critically important components in microwave, THz, and optical technologies. Due to recent progress in two-dimensional materials, metasurfaces can be efficiently used to design novel waveguide structures which confine the…

Applied Physics · Physics 2019-11-15 X. Ma , M. S. Mirmoosa , S. A. Tretyakov

We consider surfaces embedded in a 3D contact sub-Riemannian manifold and the problem of the finiteness of the induced distance (i.e., the infimum of the length of horizontal curves that belong to the surface). Recently it has been proved…

Differential Geometry · Mathematics 2024-07-15 Eugenio Bellini , Ugo Boscain

The notion of an unexpected curve in the plane was introduced in 2018, and was quickly generalized in several directions in a flurry of mathematical activity by many authors. In this expository paper we first describe some of the main…

Algebraic Geometry · Mathematics 2023-03-24 Brian Harbourne , Juan Migliore , Uwe Nagel

We use hypersurfaces containing unexpected linear spaces to construct interesting vector bundles on complete intersection surfaces in projective space. We discover examples of moduli spaces of rank 2 stable bundles on surfaces of Picard…

Algebraic Geometry · Mathematics 2021-05-12 Izzet Coskun , Jack Huizenga , John Kopper

We introduce a new class of unfitted finite element methods with high order accurate numerical integration over curved surfaces and volumes which are only implicitly defined by level set functions. An unfitted finite element method which is…

Numerical Analysis · Mathematics 2015-12-10 Christoph Lehrenfeld

We analyze a model of hypercubic random surfaces with an extrinsic curvature term in the action. We find a first order phase transition at finite coupling separating a branched polymer from a stable flat phase.

High Energy Physics - Lattice · Physics 2007-05-23 S. Bilke

The IEEE Signal Processing Society is proud to announce the eighth edition of the Signal Processing Cup: an exciting challenge to control a wireless propagation environment using an intelligent reflecting surface. An intelligent reflecting…

Signal Processing · Electrical Eng. & Systems 2021-06-08 Emil Björnson

This paper presents the experimental demonstration of a dual-input/dual-output reflective impedance metasurface. The design of the metasurface relies on the Method of Moments and leverages auxiliary surface waves to achieve anomalous…

Applied Physics · Physics 2023-10-25 Jean Louis Keyrouz , Vasileios G. Ataloglou , George V. Eleftheriades

In the heavy fermion materials, the characteristic energy scales of many exotic strongly correlated phenomena (Kondo effect, magnetic order, superconductivity, etc.) are at milli-electron-volt order, implying that the heavy fermion…

Strongly Correlated Electrons · Physics 2021-05-11 Yue-Chao Wang , Yuan-Ji Xu , Yu Liu , Xing-Jie Han , Xie-Gang Zhu , Yi-feng Yang , Yan Bi , Hai-Feng Liu , Hai-Feng Song

On del Pezzo surfaces, we study effective ample $\mathbb{R}$-divisors such that the complements of their supports are isomorphic to $\mathbb{A}^1$-bundles over smooth affine curves.

Algebraic Geometry · Mathematics 2019-03-25 Ivan Cheltsov , Jihun Park , Joonyeong Won

In this paper, we introduce and study parallel-plate waveguides formed by two penetrable metasurfaces having arbitrary isotropic sheet impedances. We investigate guided modes of this structure and derive the corresponding dispersion…

Applied Physics · Physics 2020-04-22 X. Ma , M. S. Mirmoosa , S. A. Tretyakov

By a theorem of Wahl, the canonically embedded curves which are hyperplane section of K3 surfaces are distinguished by the non-surjectivity of their Wahl map. In this paper we address the problem of distinguishing hyperplane sections of…

Algebraic Geometry · Mathematics 2010-01-28 Elisabetta Colombo , Paola Frediani , Giuseppe Pareschi

Metamaterials are composed of periodic subwavelength metal/dielectric structures that resonantly couple to the electric and/or magnetic components of the incident electromagnetic fields, exhibiting properties that are not found in nature.…

Optics · Physics 2016-11-29 Hou-Tong Chen , Antoinette J Taylor , Nanfang Yu

In the present paper, using Pseudo-Quantum Electrodynamics to describe the interaction between electrons in graphene, we investigate the longitudinal and optical conductivities of a neutral graphene sheet near a grounded perfectly…

High Energy Physics - Theory · Physics 2020-09-04 D. C. Pedrelli , D. T. Alves , V. S. Alves

Recently, a special class of Huygens' surfaces has been proposed which are capable of manipulation of transmitted wavefronts while exhibiting high transparency over a broad range of frequencies. In this work we propose and study a new…

Applied Physics · Physics 2018-09-19 M. Londono , A. Sayanskiy , J. L. Araque-Quijano , S. B. Glybovski , J. D. Baena