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Membrane-metasurfaces, formed by periodic arrangements of holes in a dielectric layer, are gaining attention for their easier manufacturing via subtractive techniques, unnecessity of substrates, and access to resonant near-fields. Despite…

Magnetoelectric susceptibility of a metamaterial built from split ring resonators have been investigated both experimentally and within an equivalent circuit model. The absolute values have been shown to exceed by two orders of magnitude…

Materials Science · Physics 2011-03-03 A. M. Shuvaev , S. Engelbrecht , M. Wunderlich , A. Schneider , A. Pimenov

We demonstrate how to create all-dielectric metasurfaces with a strong toroidal response by arranging two types of nanodisks into asymmetric quadrumer clusters. We demonstrate that a strong axial toroidal response of the metasurface is…

Optics · Physics 2018-06-25 Vladimir R. Tuz , Vyacheslav V. Khardikov , Yuri S. Kivshar

Magnetoelectric responses are related in general to magnetic multipoles, and in particular the off-diagonal linear response is proportional to the toroidization order parameter. In multiferroics with three order parameters (polarization,…

Materials Science · Physics 2025-04-01 Andrea Urru , Alessio Filippetti , Jorge Íñiguez-Gonzàlez , Vincenzo Fiorentini

We consider the design of metamaterials whose behavior embodies the equations of axion electrodynamics. We derive an effective medium description of an assembly of magneto-optical layers with out-of-plane magnetization analytically and show…

We report that resonant response with a very high quality factor can be achieved in a planar metamaterial by introducing symmetry breaking in the shape of its structural elements, which enables excitation of dark modes, i.e. modes that are…

Optics · Physics 2010-09-14 V. A. Fedotov , M. Rose , S. L. Prosvirnin , N. Papasimakis , N. I. Zheludev

The perturbation of a magnetostatic field by a toroid made of a homogeneous anisotropic magnetic material was formulated using the solutions of the Laplace equation in the toroidal coordinate system. That was straightforward in the region…

Classical Physics · Physics 2025-04-11 Hamad M. Alkhoori , Akhlesh Lakhtakia , Nikolaos L. Tsitsas

Topological metamaterials unlock confined and robust elastic wave control in mechanical structures. Recent breakthroughs have precipitated the development of 3D topological mechanical metamaterials, which extend beyond the conventional 1D…

Applied Physics · Physics 2023-10-30 Patrick Dorin , Mustafa Khan , K. W. Wang

Magnetic elastomers are appealing materials from an application point of view: they combine the mechanical softness and deformability of polymeric substances with the addressability by external magnetic fields. In this way, mechanical…

Soft Condensed Matter · Physics 2015-06-22 Elshad Allahyarov , Andreas M. Menzel , Lei Zhu , Hartmut Löwen

In this paper, we derive a model from Maxwell equations for the magnetic resonance of split-ring resonators. Using this model we revisit the scaling of split-ring resonators. Inspired by our model, we propose a new type of split-hybrid…

Optics · Physics 2012-10-03 Jianwei Tang , Sailing He

Stereometamaerials can fully utilize the 3D degrees of freedom to exploit the coupling and hybridization between multiple split ring resonators (SRRs), enabling more extraordinary resonances and properties over their planar counterparts.…

Optics · Physics 2014-09-26 Sheng Lei Wang , Jun Jun Xiao , Qiang Zhang , Xiao Ming Zhang

We investigate the dispersion characteristics of locally resonant elastic metamaterials formed by the erection of pillars on the solid regions in a plate patterned by a periodic array of holes. We show that these solid regions effectively…

Materials Science · Physics 2021-09-01 Osama R. Bilal , Mahmoud I. Hussein

We demonstrate that the trapped magnetic resonance mode can be induced in an asymmetric double-bar structure for electromagnetic waves normally incident onto the double-bar plane, which mode otherwise cannot be excited if the double bars…

Optics · Physics 2015-05-20 Zheng-Gao Dong , Hui Liu , Tao Li , Shu-Ming Wang , Shi-Ning Zhu , Xiang Zhang

Previous work has shown that time-reversal symmetric Weyl semimetals with a quadrupolar arrangement of first-order Weyl nodes exhibit a mixed crystalline-electromagnetic response. For systems with higher order Weyl nodes, which are attached…

Mesoscale and Nanoscale Physics · Physics 2024-07-02 Mark R. Hirsbrunner , Alexander D. Gray , Taylor L. Hughes

In this paper we study magnetoelectric effects in two-dimensional magnetic bilayers and introduce the notion of a layer dipole magnetoelectric polarizability. This magnetoelectric polarizability describes the magnetization response to an…

Strongly Correlated Electrons · Physics 2025-12-08 H. Radhakrishnan , C. Ortix , J. W. F. Venderbos

Composite metamaterials(CMMs) combining a subwavelength metallic hole array (i.e. one-layer fishnet structure) and an array of split-ring resonators(SRRs) on the same board are fabricated with gold films on silicon wafer. Transmission…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Ming Li , Zhenchao Wen , Jinxin Fu , Xu Fang , Yaomin Dai , Rongjuan Liu , Xiufeng Han , Xianggang Qiu

We demonstrate that spectrally diverse multiple magnetic dipole resonances can be excited in all-dielectric structures lacking rotational symmetry, in contrast to conventionally used spheres, disks or spheroids. Such multiple magnetic…

Anisotropic magnetic colloids with permanent dipole moments exhibit rich field-responsive behavior arising from the interplay between particle geometry, dipolar interactions, and external driving. Modeling these systems remains challenging…

Soft Condensed Matter · Physics 2026-04-07 Jorge L. C. Domingos

Dynamic metamolecules (DMMs) are composed of a dielectric core made of hydrogel surrounded by randomly-packed plasmonic beads that can display magnetic resonances when excited by light at optical frequencies. Their optical properties can be…

We present a general formalism of multipole descriptions under the space-time inversion group. We elucidate that two types of atomic toroidal multipoles, i.e., electric and magnetic, are fundamental pieces to express electronic order…

Strongly Correlated Electrons · Physics 2018-02-26 Satoru Hayami , Hiroaki Kusunose