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The resonant state expansion, a recently developed method in electrodynamics, is generalized here to planar open optical systems with non-normal incidence of light. The method is illustrated and verified on exactly solvable examples, such…

Optics · Physics 2015-05-05 L. J. Armitage , M. B. Doost , W. Langbein , E. A. Muljarov

In this paper, we present voltage- and current-mode differential magnetless non-reciprocal devices obtained by pairing two single-ended (SE) circulators, each consisting of three first-order bandpass or bandstop LC filters, connected in…

Signal Processing · Electrical Eng. & Systems 2018-08-10 Ahmed Kord , Dimitrios L. Sounas , Andrea Alù

Structural resonance involves the absorption of inertial loads by a tuned structural elasticity: a process playing a key role in a wide range of biological and technological systems, including many biological and bio-inspired locomotion…

Pattern Formation and Solitons · Physics 2023-07-20 Arion Pons , Tsevi Beatus

The research in topological materials and meta-materials reached maturity and is now gradually entering the phase of practical applications and devices. However, scaling down the experimental demonstrations definitely presents a challenge.…

Applied Physics · Physics 2018-12-27 David Apigo , Kai Qian , Camelia Prodan , Emil Prodan

We present an experimentally realizable, simple mechanical system with linear interactions whose geometric nature leads to nontrivial, nonlinear dynamical equations. The equations of motion are derived and their ground state structures are…

Exactly Solvable and Integrable Systems · Physics 2009-11-10 P. G. Kevrekidis , S. V. Dmitriev , S. Takeno , A. R. Bishop , E. C. Aifantis

In the development of locally resonant metamaterials, the physical resonator design is often omitted and replaced by an idealized mass-spring system. This paper presents a novel approach for designing multimodal resonant structures, which…

Applied Physics · Physics 2024-11-05 Sander Dedoncker , Christian Donner , Raphael Bischof , Linus Taenzer , Bart Van Damme

We present two alternative complete sets of static modes of a homogeneous dielectric sphere, for their use in the resonant-state expansion (RSE), a rigorous perturbative method in electrodynamics. Physically, these modes are needed to…

Optics · Physics 2019-12-10 S. V. Lobanov , W. Langbein , E. A. Muljarov

A finite-difference time-domain (FDTD) numerical analysis is used to demonstrate that a toroidal solenoid, coaxial with an electric dipole, is a remarkable non-radiating configuration. It can be used to measure the dielectric permittivity…

Classical Physics · Physics 2007-05-23 A. D. Boardman , K. Marinov , N. Zheludev , V. A. Fedotov

Through left- or right-handed twisting, we investigate the impact of mirror-asymmetry (chirality) of the conducting boundary conditions of an equilaterial triangular cross-section electromagnetic resonator. We observe the generation of…

Classical Physics · Physics 2026-01-21 E. C. I. Paterson , J. Bourhill , M. E. Tobar , M. Goryachev

Modern experiments in resonators are moving to ever more extreme quantum regimes, posing major challenges to established theoretical approaches, such as so-called few-mode models. While these models have driven major insights for…

Quantum Physics · Physics 2025-12-23 Lucas Weitzel , Andreas Buchleitner , Dominik Lentrodt

We report on a simple method to fabricate high-frequency nanotube mechanical resonators reproducibly. We measure resonance frequencies as high as 4.2 GHz for the fundamental eigenmode and 11 GHz for higher order eigenmodes. The…

Mesoscale and Nanoscale Physics · Physics 2012-07-23 J. Chaste , M. Sledzinska , M. Zdrojek , J. Moser , A. Bachtold

Electrically small dielectric antennas are of great interest for modern technologies, since they can significantly reduce the physical size of electronic devices for processing and transmitting information. We investigate the influence of…

Electrically-excited electroelastic extensional vibrations of an arbitrarily cut three-dimensional piezocrystal resonator are analyzed variationally. A set of trigonometric trial functions applicable to a waveguide behavior of the resonator…

Materials Science · Physics 2007-05-23 O. I. Polovina , V. V. Kurylyuk , O. A. Korotchenkov

We study the mode conversion and resonant absorption phenomena occurring in a slab of a stratified anisotropic medium, optical axes of which are tilted with respect to the direction of inhomogeneity, using the invariant imbedding theory of…

Optics · Physics 2018-02-14 Kihong Kim

Surface-acoustic-wave (SAW) resonators are a promising platform for constructing hybrid quantum systems, where confined acoustic waves enable strong interaction with various physical systems. Focusing SAW resonators, reducing mode volume…

We present an experimental and numerical study of a terahertz metamaterial with a nonlinear response that is controllable via the relative structural positioning of two stacked split ring resonator arrays. The first array is fabricated on…

The resonant state expansion (RSE), a rigorous perturbative method in electrodynamics, is applied to two-dimensional open optical systems. The analytically solvable homogeneous dielectric cylinder is used as unperturbed system, and its…

Optics · Physics 2015-05-05 M. B. Doost , W. Langbein , E. A. Muljarov

In this paper, we report a shape synthesis method for multi-mode dielectric resonator antennas (DRA) using characteristic mode theory (CMT) and a binary genetic algorithm (BGA). By including the antenna's characteristic modal responses…

Applied Physics · Physics 2024-07-02 Binbin Yang , Jaewoo Kim , Trupti Bellundagi , Jacob J. Adams

Given a triangulation of a closed orientable surface, we place single-mode resonators or single-orbital artificial atoms at its vertices, edges and facets, and we devise near-neighbor hopping terms derived from the boundary and Poincar\'e…

Strongly Correlated Electrons · Physics 2026-03-09 Nigel Higson , Emil Prodan

An adiabatic approximation in terms of instantaneous resonances is developed to study the steady-state and time-dependent transport of interacting electrons in biased resonant tunneling heterostructures. The resulting model consists of…

Condensed Matter · Physics 2009-10-28 Carlo Presilla , Johannes Sjöstrand
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