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The ability to perform mathematical computations using metastructures is an emergent paradigm that carries the potential of wave-based analog computing to the realm of near-speed-of-light, low-loss, compact devices. We theoretically…

应用物理 · 物理学 2025-02-25 Dimitrios C. Tzarouchis , Brian Edwards , Nader Engheta

Wave-based analog computing in the forms of inverse-designed metastructures and the meshes of Mach-Zehnder interferometers (MZI) have recently received considerable attention due to their capability in emulating linear operators, performing…

光学 · 物理学 2022-07-28 Vahid Nikkhah , Dimitrios C. Tzarouchis , Ahmad Hoorfar , Nader Engheta

The rising computational demand of modern workloads has renewed interest in energy-efficient paradigms such as neuromorphic and analog computing. A fundamental operation in these systems is matrix-vector multiplication (MVM), ubiquitous in…

介观与纳米尺度物理 · 物理学 2026-01-29 Caio Silva , Giuseppe Romano

In this work, an optimization-based inverse design method is provided for multi-input multi-output (MIMO) metastructured devices. Typically, optimization-based methods use a full-wave solver in conjunction with an optimization routine to…

应用物理 · 物理学 2024-10-28 Luke Szymanski , Gurkan Gok , Anthony Grbic

Photonic computing has recently become an interesting paradigm for high-speed calculation of computing processes using light-matter interactions. Here, we propose and study an electromagnetic wave-based structure with the ability to…

应用物理 · 物理学 2024-04-09 Ross Glyn MacDonald , Alex Yakovlev , Victor Pacheco-Peña

Decades after being replaced with digital platforms, analogue computing has experienced a surging interest following developments in metamaterials and intricate fabrication techniques. Specifically, wave-based analogue computers which…

应用物理 · 物理学 2024-12-24 Mohamed Mousa , Mostafa Nouh

Many phenomena in physics, including light, water waves, and sound, are described by wave equations. Given their coefficients, wave equations can be solved to high accuracy, but the presence of the wavelength scale often leads to large…

计算物理 · 物理学 2025-02-19 Timo Gahlmann , Philippe Tassin

The ability of mechanical systems to perform basic computations has gained traction over recent years, providing an unconventional alternative to digital computing in off grid, low power, and severe environments which render the majority of…

应用物理 · 物理学 2024-05-13 M. Moghaddaszadeh , M. Mousa , A. Aref , M. Nouh

Metasurfaces have become a promising means for manipulating optical wavefronts in flat and high-performance optical devices. Conventional metasurface device design relies on trial-and-error methods to obtain target electromagnetic (EM)…

Metasurfaces (MSs) have been utilized to manipulate different properties of electromagnetic waves. By combining local control over the wave amplitude, phase, and polarization into a single tunable structure, a multi-functional and…

We introduce meta-factorization, a theory that describes matrix decompositions as solutions of linear matrix equations: the projector and the reconstruction equation. Meta-factorization reconstructs known factorizations, reveals their…

数值分析 · 数学 2022-07-15 Michał P. Karpowicz

We address the estimation of seismic wavefields by means of Multidimensional Deconvolution (MDD) for various redatuming applications. While offering more accuracy than conventional correlation-based redatuming methods, MDD faces challenges…

数值分析 · 数学 2024-04-03 Daria Sushnikova , Matteo Ravasi , David Keyes

Metasurfaces are reshaping traditional optical paradigms and are increasingly required in complex applications that demand substantial computational resources to numerically solve Maxwell's equations-particularly for large-scale systems,…

Inverse-designed Silicon photonic metastructures offer an efficient platform to perform analog computations with electromagnetic waves. However, due to computational difficulties, scaling up these metastructures to handle a large number of…

We propose to use Digital Memcomputing Machines (DMMs), implemented with self-organizing logic gates (SOLGs), to solve the problem of numerical inversion. Starting from fixed-point scalar inversion we describe the generalization to solving…

新兴技术 · 计算机科学 2017-08-30 Haik Manukian , Fabio L. Traversa , Massimiliano Di Ventra

Digital MemComputing machines (DMMs), which employ nonlinear dynamical systems with memory (time non-locality), have proven to be a robust and scalable unconventional computing approach for solving a wide variety of combinatorial…

新兴技术 · 计算机科学 2024-07-16 Yuan-Hang Zhang , Massimiliano Di Ventra

Recent advances in meta-optics have enabled diverse functionalities in compact optical devices; however, conventional forward design approaches become inadequate as device complexity and scale grow. Inverse design offers a powerful…

Practical applications of mechanical metamaterials often involve solving inverse problems where the objective is to find the (multiple) microarchitectures that give rise to a given set of properties. The limited resolution of additive…

Markov Chain Monte Carlo (MCMC) algorithms are standard approaches to solve imaging inverse problems and quantify estimation uncertainties, a key requirement in absence of ground-truth data. To improve estimation quality, Plug-and-Play MCMC…

统计方法学 · 统计学 2025-11-04 Maxime Bouton , Pierre-Antoine Thouvenin , Audrey Repetti , Pierre Chainais

Pendry and MacKinnon meaningful discretization of Maxwell's equations was put forward specifically as part of a finite-element numerical algorithm. By contrast with a numerical approach, in the same spirit evoked by the relationships…

光学 · 物理学 2023-03-14 Ovidiu-Zeno Lipan , Aldo De Sabata
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