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This work presents a new design for broadband absorption of low-frequency acoustic waves using a thin coating made of subwavelength acoustic resonators arranged periodically on a reflective surface. We first study the associated scattering…

数值分析 · 数学 2026-03-13 Habib Ammari , Yu Gao , Lara Vrabac

The Heisenberg uncertainty principle states that the product of the noise in a position measurement and the momentum disturbance caused by that measurement should be no less than the limit set by Planck's constant, hbar/2, as demonstrated…

量子物理 · 物理学 2009-11-07 Masanao Ozawa

The ability to design the scattering properties of electromagnetic structures is of fundamental interest in optical science and engineering. While there has been great practical success applying local optimization methods to electromagnetic…

Gravitational microlensing is a powerful tool to probe the inner structure of strongly lensed quasars and to constrain parameters of the stellar mass function of lens galaxies. This is done by analysing microlensing light curves between the…

星系天体物理 · 物理学 2022-03-14 E. Paic , G. Vernardos , D. Sluse , M. Millon , F. Courbin , J. H. Chan , V. Bonvin

We numerically investigate hyperuniformity in two-dimensional frictionless jammed packings of bidisperse systems. Hyperuniformity is characterized by the suppression of density fluctuations at large length scales, and the structure factor…

软凝聚态物质 · 物理学 2025-07-18 Duc T. Dam , Takeshi Kawasaki , Atsushi Ikeda , Kunimasa Miyazaki

The Heisenberg uncertainty principle shows that no one can specify the values of the non-commuting canonically conjugated variables simultaneously. However, the uncertainty relation is usually applied to two incompatible measurements. We…

量子物理 · 物理学 2015-09-22 Jun Zhang , Yang Zhang , Chang-shui Yu

The Heisenberg uncertainty relation is known to be obtainable by a purely mathematical argument. Based on that fact, here it is shown that the Heisenberg uncertainty relation remains valid when Quantum Mechanics is re-formulated within far…

综合数学 · 数学 2009-02-02 Elemer E Rosinger

We give a solution to the fundamental problem of restoring optical resonances in deep subwavelength structures by resorting to indefinite metamaterials. We prove that a nanometric thick hyperbolic slab with very small permittivities…

光学 · 物理学 2011-09-26 Alessandro Ciattoni , Elisa Spinozzi

The high energy physics unfolding problem is an important statistical inverse problem in data analysis at the Large Hadron Collider (LHC) at CERN. The goal of unfolding is to make nonparametric inferences about a particle spectrum from…

应用统计 · 统计学 2017-06-09 Mikael Kuusela , Philip B. Stark

An optical ring cavity is used to place the first laboratory constraints on parity-odd nonrenormalizable Lorentz violation. Variations in resonant frequencies are limited to parts in $10^{15}$. Absolute sensitivity to Lorentz-violating…

广义相对论与量子宇宙学 · 物理学 2013-12-30 Yuta Michimura , Matthew Mewes , Nobuyuki Matsumoto , Yoichi Aso , Masaki Ando

A frequency selective device, which is composed of a kind of composite structure, is designed to control the propagation of free space electromagnetic waves in the X band of the microwave spectrum. The composite structure mainly consists of…

应用物理 · 物理学 2019-01-25 Tao Jiang

We are going to study the limiting spectral measure of fixed dimensional Hermitian block-matrices with large dimensional Wigner blocks. We are going also to identify the limiting spectral measure when the Hermitian block-structure is…

概率论 · 数学 2007-05-23 Tamer Oraby

Wavelength selection in reaction--diffusion systems can be understood as a coarsening process that is interrupted by counteracting processes at certain wavelengths. We first show that coarsening in mass-conserving systems is driven by…

斑图形成与孤子 · 物理学 2021-04-16 Fridtjof Brauns , Henrik Weyer , Jacob Halatek , Junghoon Yoon , Erwin Frey

This paper considers the effects of small highly contrasted particles on the subwavelength resonances of a system of high-contrast resonators, with an application to sensing. The key technique is a multiple scattering expansion of the…

偏微分方程分析 · 数学 2025-05-06 Jinghao Cao , Jörg Nick

We show that resonant frequencies of a system of coupled resonators in a truncated periodic lattice converge to the essential spectrum of corresponding infinite lattice. We use the capacitance matrix as a model for fully coupled resonators…

数学物理 · 物理学 2023-05-29 Habib Ammari , Bryn Davies , Erik Orvehed Hiltunen

We derive fundamental lower bounds on the performance of optical metrology and communication systems in a Bayesian framework. The derivation uses classical rate-distortion theory in conjunction with bounds on the capacity to transmit…

量子物理 · 物理学 2018-09-24 Ranjith Nair

Scattering resonances play a crucial role in understanding wave behavior in various physical systems. While significant progress has been made in analyzing resonances in high-contrast and nonlinear media, a general characterization of…

光学 · 物理学 2024-10-29 Taoufik Meklachi

We investigate the discrepancy principle for choosing smoothing parameters for kernel density estimation. The method is based on the distance between the empirical and estimated distribution functions. We prove some new positive and…

统计理论 · 数学 2015-03-19 Thoralf Mildenberger

Using an analytically solvable model, we show that a qubit array-based detector allows to achieve the fundamental Heisenberg limit in detecting single photons. In case of superconducting qubits, this opens new opportunities for quantum…

量子物理 · 物理学 2021-06-02 P. Navez , A. G. Balanov , S. E. Savel'ev , A. M. Zagoskin

In this paper the heat signaling in microtubules (MT) is investigated. It is argued that for the description of the heat signaling phenomena in MT, the hyperbolic heat transport (HHT) equation must be used. It is shown that HHT is the…

生物大分子 · 定量生物学 2007-05-23 J. Marciak-Kozlowska , M. Kozlowski , M. Pelc