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We formulate a mathematical theory of auxetic behavior based on one-parameter deformations of periodic frameworks. Our approach is purely geometric, relies on the evolution of the periodicity lattice and works in any dimension. We…

度量几何 · 数学 2016-02-17 Ciprian S. Borcea , Ileana Streinu

We develop an effective approach for the study of the interaction of gravitational waves (GWs) and electromagnetic waves (EMWs), showing that quadrirefringence can be produced, a phenomenon consisting in a frequency and polarization…

广义相对论与量子宇宙学 · 物理学 2024-04-10 Antonio Enea Romano , Sergio A. Vallejo-Peña

In literature, it is often said that a uniform circular array (UCA) composed of a sufficient number of radiating elements is able to generate a vortex wave with arbitrary topological charge. While providing a very simple and intuitive…

经典物理 · 物理学 2019-09-17 Andrea Cagliero

Optical hyperparametric oscillation based on the third-order nonlinearity is one of the most significant mechanisms to generate coherent electromagnetic radiation and produce quantum states of light. Advances in dispersion-engineered…

A novel type of a plasmonic waveguide has been proposed featuring an "open" design that is easy to manufacture, simple to excite and that offers a convenient access to a plasmonic mode. Optical properties of photonic bandgap (PBG) plasmonic…

Resonant cavities are one of the basic building blocks in various disciplines of science and technology, with numerous applications ranging from abstract theoretical modeling to everyday life devices. The eigenfrequencies of conventional…

光学 · 物理学 2016-04-27 Iñigo Liberal , Ahmed M. Mahmoud , Nader Engheta

We revisit the neutrino and ultra high-energy cosmic ray (UHECR) production from gamma-ray bursts (GRBs) with time-dependent simulations for the proton-induced cascades. This method can generate self-consistent photon, neutrino and escaped…

高能天体物理现象 · 物理学 2015-06-18 Katsuaki Asano , Peter Meszaros

We prove the possibility of achieving unidirectional edge modes in time-modulated supercell structures. Such finite structures consist of two trimers repeated periodically. Because of their symmetry, they admit degenerate edge eigenspaces.…

偏微分方程分析 · 数学 2022-05-23 Habib Ammari , Jinghao Cao

Resonant scattering of plane waves by a periodic slab under conditions close to those that support a guided mode is accompanied by sharp transmission anomalies. For two-dimensional structures, we establish sufficient conditions, involving…

数学物理 · 物理学 2011-11-01 Stephen P. Shipman , Hairui Tu

We analyze the modulation instability induced by periodic variations of group velocity dispersion and nonlinearity in optical fibers, which may be interpreted as an analogue of the well-known parametric resonance in mechanics. We derive…

光学 · 物理学 2015-06-11 Andrea Armaroli , Fabio Biancalana

Unimodular Gravity (UG) is a restricted version of General Relativity (GR) in which the determinant of the metric is a fixed function and the field equations are given by the trace-free part of the full Einstein equations. The background…

广义相对论与量子宇宙学 · 物理学 2016-09-02 Abhishek Basak , Ophélia Fabre , S. Shankaranarayanan

For a periodic structure sandwiched between two homogeneous media, a bound state in the continuum (BIC) is a guided Bloch mode with a frequency in the radiation continuum. Optical BICs have found many applications, mainly because they give…

光学 · 物理学 2021-04-14 Lijun Yuan , Ya Yan Lu

Nanoscale bilayers containing at least one magnetic layer exhibit universal unusual anisotropic magnetoresistance (UAMR) and unidirectional magnetoresistance (UMR). They are currently understood through various mechanisms related to the…

强关联电子 · 物理学 2025-05-06 X. R. Wang

Structured waves are ubiquitous for all areas of wave physics, both classical and quantum, where the wavefields are inhomogeneous and cannot be approximated by a single plane wave. Even the interference of two plane waves, or a single…

We prove that for a generic family of circle diffeomorphisms every parameter value that corresponds to an irrational rotation number is approximated by parameter values for which the diffeomorphisms have arbitrarily large finite numbers of…

动力系统 · 数学 2026-04-20 Ivan Shilin

This paper describes how parametric resonances associated with a galactic potential subjected to relatively low amplitude, strictly periodic time-dependent perturbations can be impacted by pseudo-random variations in the pulsation…

天体物理学 · 物理学 2009-11-10 Ioannis V. Sideris , Henry E. Kandrup

We study a parametric deformation of the unified genus-1 anharmonic potential and derive a parametric form of perturbative/nonperturbative (P/NP) relation, applicable across all parameter values. We explicitly demonstrate that the…

高能物理 - 理论 · 物理学 2024-12-10 Atakan Çavuşoğlu , Can Kozçaz , Kemal Tezgin

We present an analytic perturbation theory which extends the paraxial approximation for a common cylindrically symmetric stable optical resonator and incorporates the differential, polarization-dependent reflectivity of a Bragg mirror. The…

光学 · 物理学 2009-11-13 David H. Foster , Andrew K. Cook , Jens U. Nöckel

We show that a temporal soliton can induce resonant radiation by three-wave mixing nonlinearities. This constitutes a new class of resonant radiation whose spectral positions are parametrically tunable. The experimental verification is done…

光学 · 物理学 2017-04-12 B. Zhou , X. Liu , H. R. Guo , X. L. Zeng , X. F. Chen , H. P. Chung , Y. H. Chen , M. Bache

Complex periodic structures inherit spectral properties from the constituent parts of their unit cells, chiefly their spectral band gaps. Exploiting this intuitive principle, which is made precise in this work, means spectral features of…

经典分析与常微分方程 · 数学 2024-01-15 Lucas Dunckley , Bryn Davies