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Designing high-finesse resonant cavities for electronic waves faces challenges due to short electron coherence lengths in solids. Previous approaches, e.g. the seminal nanometer-sized quantum corrals, depend on careful positioning of…

We examine transmission through a quantum graph vertex to which auxiliary edges with constant potentials are attached. We find a characterization of vertex couplings for which the transmission probability from a given "input" line to a…

Mathematical Physics · Physics 2016-01-01 Ondřej Turek

We present a novel approach for simulating acoustic (pressure) wave propagation across different media separated by a diffuse interface through the use of a weak compressibility formulation. Our method builds on our previous work on an…

Numerical Analysis · Mathematics 2025-11-11 Abbas Ballout , Oscar A. Marino , Gerasimos Ntoukas , Gonzalo Rubio , Esteban Ferrer

We investigate optically reconfigurable dielectric metamaterials at gigahertz frequencies. More precisely, we study the microwave response of a subwavelength grating optically imprinted into a semiconductor slab. In the homogenized regime,…

Metasurfaces mold the flow of classical light waves by engineering sub-wavelength patterns from dielectric or metallic thin films. We describe and analyze a method in which quantum operator-valued reflectivity can be used to control both…

Using both multiple scattering theory and effective medium theory, we find that an acoustic metamaterial consisting of an array of spinning cylinders can possess a host of unusual properties including folded bulk and interface-state bands…

Applied Physics · Physics 2020-02-19 Degang Zhao , Yao-Ting Wang , Kin-Hung Fung , Zhao-Qing Zhang , C. T. Chan

Time has emerged as a new degree of freedom for metamaterials, promising new pathways in wave control. However, electromagnetism suffers from limitations in the modulation speed of material parameters. Here we argue that these limitations…

Mesoscale and Nanoscale Physics · Physics 2019-11-20 E. Galiffi , P. A. Huidobro , J. B. Pendry

In this paper, we exploit the metagrating paradigm to achieve coherent control of absorption and reflection in a two-port device. Employing graphene ribbon as a tunable element allows us to, for the first time, realize a reconfigurable…

Optics · Physics 2020-11-11 Ensiye Ghorbanpour , Sahar Behroozinia , Ali Abdolali

Non-Hermitian systems always play a negative role in wave manipulations due to inherent non-conservation of energy as well as loss of information. Recently, however, there has been a paradigm shift on utilizing non-Hermitian systems to…

Classical Physics · Physics 2016-05-17 Yi-Fan Zhu , Xue-Feng Zhu , Xu-Dong Fan , Bin Liang , Xin-Ye Zou , Jing Yang , Jian-Chun Cheng

Metasurfaces can manipulate the amplitude and phase of electromagnetic waves, offering applications ranging from antenna design and cloaking to imaging and communication. Additionally, temporal, and non-linear metasurfaces have the…

Signal Processing · Electrical Eng. & Systems 2024-11-18 Pouria Sanjari , Firooz Aflatouni

The aim of this lecture is to consider a concrete problem, namely the identification of situations of invisibility in waveguides, to present techniques and tools that may be useful in various fields of applied mathematics. To be more…

Analysis of PDEs · Mathematics 2025-11-13 Lucas Chesnel

We present a theory which explains how to achieve an enhancement of nonlinear effects in a thin layer of nonlinear medium by involving a planar periodic structure specially designed to bear a trapped-mode resonant regime. In particular, the…

Optics · Physics 2015-12-18 V. Khardikov , P. Mladyonov , S. Prosvirnin , V. Tuz

We introduce the concept of autoregressive moving average (ARMA) filters on a graph and show how they can be implemented in a distributed fashion. Our graph filter design philosophy is independent of the particular graph, meaning that the…

Social and Information Networks · Computer Science 2015-09-02 Andreas Loukas , Andrea Simonetto , Geert Leus

This paper presents an innovative approach to computational acoustic imaging of biperiodic surfaces, exploiting the capabilities of an acoustic superlens to overcome the diffraction limit. We address the challenge of imaging physical…

Analysis of PDEs · Mathematics 2026-01-05 Yuliang Wang

Wavefront shaping techniques allow waves to be focused on a diffraction-limited target deep inside disordered media. To identify the target position, a guidestar is required that typically emits a frequency-shifted signal. Here we present a…

Applied Physics · Physics 2025-05-13 Antton Goïcoechea , Jakob Hüpfl , Stefan Rotter , François Sarrazin , Matthieu Davy

Anisotropic acoustic metamaterials have been proved very useful for their high potential in guiding and manipulating sound energy. In this paper, we further develop the idea by using periodically layered structures for transformational…

Materials Science · Physics 2015-05-28 Zixian Liang , Jensen Li

We present a new method for the control of waves based on inverse multiple scattering theory. Conceived as a generalization of the concept of metagrating, we call metaclusters to a finite set of scatterers whose position and properties are…

Applied Physics · Physics 2021-02-03 Pawel Packo , Andrew Norris , Dani Torrent

Metasurfaces, composed of subwavelength electromagnetic microstructures, known as meta-atoms, are capable of reshaping the wavefronts of incident beams in desired manners, making them great candidates for revolutionizing conventional…

In this paper, we present a general theory of aperiodic subwavelength arrays for controlling electromagnetic waves. The considered platform is formed by an array of electrically small loaded scatterers above a ground plane. While the array…

Applied Physics · Physics 2025-03-19 Yongming Li , Xikui Ma , Xuchen Wang , Sergei A. Tretyakov

Wave steering by artificial materials (for example, phononic crystals and acoustic metamaterials) is a fascinating frontier in modern physics and engineering, but suffers from bulky sizes and intractable challenges in fabrication. Here, a…