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A thermodynamic argument has been developed which relates the chirality of the constituents of a mixture of enantiomers to the system excess volume, and thereby to its Gibbs free enthalpy. A specific connection is shown between the excess…

Statistical Mechanics · Physics 2007-05-23 J. F. Kenney , Ulrich K. Deiters

In a recent Letter we proposed a means to realize a quasicrystal with eight-fold symmetry by trapping particles in an optical potential created by four lasers. The quasicrystals obtained in this way, which are closely related to the…

Statistical Mechanics · Physics 2014-03-05 Anuradha Jagannathan , Michel Duneau

Chirality, the property of asymmetry, is of great importance in biological and physical phenomena. This prospective offers an overview of the emerging field of chiral bioinspired plasmonics and metamaterials, aiming to uncover nature's…

We study evolution equations and stationary homogeneous solutions for electric and magnetic field amplitudes in a ring cavity with flat mirrors. The cavity is filled with a positive or negative refraction index material with third order…

Pattern Formation and Solitons · Physics 2015-08-24 D. A. Martin , M. Hoyuelos

In this work, we are interested in the analysis of time-harmonic Maxwell's equations in presence of a conical tip of a material with negative dielectric constants. When these constants belong to some critical range, the electromagnetic…

Analysis of PDEs · Mathematics 2020-10-19 Anne-Sophie Bonnet-Ben Dhia , Lucas Chesnel , Mahran Rihani

Current carrying chiral edge states in quantum Hall systems have fascinating properties that are usually studied by electron spectroscopy and interferometry. Here we demonstrate that electron occupation, current, and electron coherence in…

Mesoscale and Nanoscale Physics · Physics 2024-04-19 Ashutosh Singh , Maria Sebastian , Mikhail Tokman , Alexey Belyanin

We use a finite-element method to obtain highly converged results for a nano-optical light scattering setup with a non-periodic geometry.

Optics · Physics 2013-10-11 S. Burger , L. Zschiedrich , J. Pomplun , F. Schmidt

Stereo matching provides depth estimation from binocular images for downstream applications. These applications mostly take video streams as input and require temporally consistent depth maps. However, existing methods mainly focus on the…

Computer Vision and Pattern Recognition · Computer Science 2024-07-17 Jiaxi Zeng , Chengtang Yao , Yuwei Wu , Yunde Jia

Recently, split ring-resonators (SRR's) have been realized experimentally in the near infrared (NIR) and optical regime. In this contribution we numerically investigate light propagation through an array of metallic SRR's in the NIR and…

Materials Science · Physics 2009-05-28 S. Burger , L. Zschiedrich , R. Klose , A. Schädle , F. Schmidt , C. Enkrich , S. Linden , M. Wegener , C. M. Soukoulis

We provide a theoretical framework based on classical electromagnetism, to describe optical properties of Fabry-P\'erot cavities, filled with multilayered and linear chiral materials. We find a formal link between transfer-matrix,…

Optics · Physics 2024-03-15 L. Mauro , J. Fregoni , J. Feist , R. Avriller

In this review, we discuss the use of continuous variable spectroscopy techniques for investigating quantum coherence and light-matter interactions in semiconductor systems with ultrafast dynamics. We focus on multichannel homodyne…

Mesoscale and Nanoscale Physics · Physics 2023-06-05 Carolin Lüders , Franziska Barkhausen , Matthias Pukrop , Elena Rozas , Jan Sperling , Stefan Schumacher , Marc Aßmann

Non-Hermitian systems have attracted considerable attention for their broad impacts on various physical platforms and peculiar applications. In non-Hermitian systems, both eigenvalues and eigenstates simultaneously coalesce at exceptional…

A new $H(\textrm{divdiv})$-conforming finite element is presented, which avoids the need for super-smoothness by redistributing the degrees of freedom to edges and faces. This leads to a hybridizable mixed method with superconvergence for…

Numerical Analysis · Mathematics 2024-03-18 Long Chen , Xuehai Huang

In many time-harmonic electromagnetic wave problems, the considered geometry exhibits an axial symmetry. In this case, by exploiting a Fourier expansion along the azimuthal direction, fully three-dimensional (3D) calculations can be carried…

Numerical Analysis · Mathematics 2022-11-22 Erik Schnaubelt , Nicolas Marsic , Herbert De Gersem

In this work we propose an efficient and accurate multi-scale optical simulation algorithm by applying a numerical version of slowly varying envelope approximation in FEM. Specifically, we employ the fast iterative method to quickly compute…

Optics · Physics 2024-12-03 Fan Xiao , Jingwei Wang , Zhongfei Xiong , Yuntian Chen

This thesis aims at investigating the first steps toward an unconditionally stable space-time isogeometric method, based on splines of maximal regularity, for the linear acoustic wave equation. The unconditional stability of space-time…

Numerical Analysis · Mathematics 2023-03-29 Sara Fraschini

We compare the various chirality measures most widely used in the literature to quantify chiral symmetry in extended solids, i.e., the continuous chirality measure, the Hausdorff distance, and the angular momentum. By studying these…

Materials Science · Physics 2026-02-09 Fernando Gómez-Ortiz , Mauro Fava , Emma E. McCabe , Aldo H. Romero , Eric Bousquet

This paper is devoted to the numerical validation of an explicit finite-difference scheme for the integration in time of Maxwell's equations in terms of the sole electric field, using standard linear finite elements for the space…

Numerical Analysis · Mathematics 2019-05-10 L. Beilina , V. Ruas

We revisit second-order-in-time space-time discretizations of the linear and semilinear wave equations by establishing precise equivalences with first-order-in-time formulations. Focusing on schemes using continuous piecewise-polynomial…

Numerical Analysis · Mathematics 2026-01-07 Matteo Ferrari , Ilaria Perugia , Enrico Zampa

Chirality is inherent to a broad range of systems, including in solid-state and wave physics. The precession (chiral motion) of electron spins in magnetic materials, forming spin waves, has various properties and many applications in…

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