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We calculate the Gaussian curvature of a curved, twisted crease in terms of the rate of change of solid angle along its length; we find that this depends on the fold angle across the crease and on the curvature along it but is independent…

微分几何 · 数学 2021-11-30 Keith A. Seffen , Christopher R. Calladine

Acoustics provides a powerful modality with which to 'see' the mechanical properties of a wide range of elastic materials. It is particularly adept at probing soft materials where excellent contrast and propagation distance can be achieved.…

软凝聚态物质 · 物理学 2009-05-01 N. G. Parker , M. J. W. Povey

Inspired by a formula of Stern that relates scalar curvature to harmonic functions, we evaluate the mass of an asymptotically flat $3$-manifold along faces and edges of a large coordinate cube. In terms of the mean curvature and dihedral…

微分几何 · 数学 2020-08-26 Pengzi Miao

This article explores a variant of Kac's famous problem, "Can one hear the shape of a drum?", by addressing a geometric inverse problem in acoustics. Our objective is to reconstruct the shape of a cuboid room using acoustic signals measured…

最优化与控制 · 数学 2025-09-11 Antoine Deleforge , Cédric Foy , Yannick Privat , Tom Sprunck

Confining sound is of significant importance for the manipulation and routing acoustic waves. We propose a Helmholtz resonator (HR) based subwavelength sound channel formed at the interface of two metamaterials, for this purpose. The…

应用物理 · 物理学 2021-03-31 Yun Zhou , Prabhakar R. Bandaru , Daniel F. Sievenpiper

Ear recognition task is known as predicting whether two ear images belong to the same person or not. In this paper, we present a novel metric learning method for ear recognition. This method is formulated as a pairwise constrained…

计算机视觉与模式识别 · 计算机科学 2018-03-28 Ibrahim Omara , Hongzhi Zhang , Faqiang Wang , Wangmeng Zuo

Prevalent neuroscientific theories are combined with acoustic observations from various studies to create a consistent geometric model for music perception in order to rationalize, explain and predict psycho-acoustic phenomena. The space of…

微分几何 · 数学 2022-12-07 Benjamin Himpel

We construct measure which determines a two-variable mean in a very natural way. Using that measure we can extend the mean to infinite sets as well. E.g. we can calculate the geometric mean of any set with positive Lebesgue measure. We also…

经典分析与常微分方程 · 数学 2023-12-06 Attila Losonczi

The ability to precisely trap, transport and manipulate micrometer-sized objects, including biological cells, DNA-coated microspheres and microorganisms, is very important in life science studies and biomedical applications. In this study,…

流体动力学 · 物理学 2012-07-05 Gan Yu , Xiaolin Chen , Jie Xu

We present a simple experiment that allows us to demonstrate graphically that the intensity of sound waves is proportional to the square of their amplitude, a result that is theoretically analysed in any introductory wave course but rarely…

物理教育 · 物理学 2021-09-15 Jorge Pinochet

The propagation of an acoustic wave through two-phase porous media with spatial variation in porosity is studied. The evolutionary wave equation is derived, and the propagation of an acoustic wave is numerically analyzed in application to…

软凝聚态物质 · 物理学 2015-03-20 J. I. Osypik , N. I. Pushkina , Ya. M. Zhileikin

Take a torus with a Riemannian metric. Lift the metric on its universal cover. You get a distance which in turn yields balls. On these balls you can look at the Laplacian. Focus on the spectrum for the Dirichlet or Neumann problem. We…

微分几何 · 数学 2007-05-23 Constantin Vernicos

We describe a method to perform a single quantum measurement of an arbitrary observable of a single ion moving in a harmonic potential. We illustrate the measurement procedure with explicit examples, namely the position and phase…

量子物理 · 物理学 2007-05-23 S. A. Gardiner , J. I. Cirac , P. Zoller

An air bubble trapped in water by an oscillating acoustic field undergoes either radial or nonspherical pulsations depending on the strength of the forcing pressure. Two different instability mechanisms (the Rayleigh--Taylor instability and…

chao-dyn · 物理学 2016-08-31 Michael P. Brenner , Detlef Lohse , T. F. Dupont

The physical understanding of a method of detecting mammalian cancer via vocalization during a normal echo-Doppler test is provided. The backscattered ultrasound frequency in the case of a vocal humming resonating in the chest wall is…

We present a semi-analytical theory for the acoustic fields and particle-trapping forces in a viscous fluid inside a capillary tube with arbitrary cross section and ultrasound actuation at the walls. We find that the acoustic fields vary…

流体动力学 · 物理学 2020-02-26 Jacob S. Bach , Henrik Bruus

Our voices are as distinctive as our faces and fingerprints. There is a spectrum of non-disjoint traits that make our voices unique and identifiable, such as the fundamental frequency, the intensity, and most interestingly the quality of…

声音 · 计算机科学 2020-11-02 Shahan Ali Memon

We identify an acoustic process in which the conversion of angular momentum between its spin and orbital form takes place. The interaction between an evanescent wave propagating at the interface of two immiscible fluids and an isolated…

流体动力学 · 物理学 2024-03-27 Ludovic Alhaïtz , Thomas Brunet , Christophe Aristégui , Olivier Poncelet , Diego Baresch

Several recent works have considered the pressure exerted on a wall by a model polymer. We extend this consideration to vesicles attached to a wall, and hence include osmotic pressure. We do this by considering a two-dimensional directed…

统计力学 · 物理学 2015-06-17 Aleksander L Owczarek , Thomas Prellberg

Estimating the sound absorption in situ relies on accurately describing the measured sound field. Evidence suggests that modeling the reflection of impinging spherical waves is important, especially for compact measurement systems. This…

音频与语音处理 · 电气工程与系统科学 2024-04-18 Eric Brandao , William Fonseca , Paulo Mareze , Carlos Resende , Gabriel Azzuz , Joao Pontalti , Efren Fernandez-Grande