Symmetry reduction of the three-body problem based on Euler anglesWe consider the classical three-body problem with an arbitrary pair potential which depends on the inter-body distance. A general three-body configuration is set by three "radial" and three…Michele Castellana·May 27, 2019SaveLearn
The naval battle of Actium and the myth of the ship-holder: the effect of bathymetryA myth of antiquity is explained with modern science in the context of an ancient naval battle. A legend was invoked by the admiral Pliny the Elder to explain the defeat of Antony and Cleopatra…Johan Fourdrinoy, Clément Caplier, Yann Devaux et al.·May 27, 2019SaveLearn
Variational principle for bifurcation in Lagrangian mechanicsAn application of variational principle to bifurcation of periodic solution in Lagrangian mechanics is shown. A few higher derivatives of the action integral at a periodic solution reveals the…Toshiaki Fujiwara, Hiroshi Fukuda, Hiroshi Ozaki·May 27, 2019SaveLearn
Transfer matrix method for the analysis of space-time modulated media and systemsSpace-time modulation adds another powerful degree of freedom to the manipulation of classical wave systems. It opens the door for complex control of wave behavior beyond the reach of stationary…Junfei Li, Xiaohui Zhu, Chen Shen et al.·May 25, 2019SaveLearn
Determination of topological properties of thin samples by the van der Pauw methodWe solve the problem of determining basic topological properties of flat samples by performing measurements on their outer edge. The global maximum of four probe resistances shows a characteristic…Krzysztof R. Szymański, Cezary J. Walczyk, Jan L. Cieśliński·May 23, 2019SaveLearn
Edge states and corner modes in second-order topological phononic crystal platesWe realize an elastic second-order topological insulator hosting both one-dimensional gapped edge states and zero-dimensional in-gap corner modes in the double-sided pillared phononic crystal plates…Shao-yong Huo, Hong-bo Huang, Lu-yang Feng et al.·May 21, 2019SaveLearn
Mathematical-Physics of propagating modes in planar waveguidesIn this paper we present a detailed physical analysis of the formation of the propagation transverse modes in planar dielectric waveguides using a mathematical-physics approach. We demonstrate…J. E. Gomez-Correa, S. E. Balderas-Mata, A. Garza-Rivera et al.·May 21, 2019SaveLearn
Physics-informed transfer path analysis with parameter estimation using Gaussian processesGaussian processes regression is applied to augment experimental data of transfer-path analysis (TPA) by known information about the underlying physical properties of the system under investigation.…Christopher Albert·May 20, 2019SaveLearn
Radiative transfer in half spaces of arbitrary dimensionWe solve the classic albedo and Milne problems of plane-parallel illumination of an isotropically-scattering half-space when generalized to a Euclidean domain Rd for arbitrary d 1.…Eugene d'Eon, Norman J. McCormick·May 19, 2019SaveLearn
A Proof that Multiple Waves Propagate in Ensemble-Averaged Particulate MaterialsEffective medium theory aims to describe a complex inhomogeneous material in terms of a few important macroscopic parameters. To characterise wave propagation through an inhomogeneous material, the…Artur Lewis Gower, Ian David Abrahams, William J. Parnell·May 16, 2019SaveLearn
Action-angle variables for the purely nonlinear oscillatorIn this letter, we study the purely nonlinear oscillator by the method of action-angle variables of Hamiltonian systems. The frequency of the non-isochronous system is obtained, which agrees well…Aritra Ghosh, Chandrasekhar Bhamidipati·May 16, 2019SaveLearn
Electromagnetic surface wave propagation in a metallic wire and the Lambert W functionWe revisit the solution due to Sommerfeld of a problem in classical electrodynamics, namely, that of the propagation of an electromagnetic axially symmetric surface wave (a low-attenuation single…J. Ricardo G. Mendonça·May 16, 2019SaveLearn
Causality and dielectric functions for linear media with spatial dispersionWe extend Kramers-Kronig relations beyond the optical approximation to dielectric functions that depend not only on frequency but on the wave number as well. This implies extending the notion of…Josep Llosa, Francesc Salvat·May 15, 2019SaveLearn
Average Transition Conditions for Electromagnetic Fields at a Metascreen of Nonzero ThicknessUsing a dipole interaction model, we derive generalized sheet transition conditions (GSTCs) for electromagnetic fields at the surface of a metascreen consisting of an array of arbitrarily shaped…Edward F. Kuester, Enbo Liu·May 14, 2019SaveLearn
Average Transition Conditions for Electromagnetic Fields at a Metascreen of Vanishing ThicknessUsing a dipole interaction model, we derive generalized sheet transition conditions (GSTCs) for electromagnetic fields at the surface of a metascreen consisting of an array of arbitrarily shaped…Edward F. Kuester, Enbo Liu, Nick J. Krull·May 14, 2019SaveLearn
Eisenhart lift and Randers-Finsler formulation for scalar field theoryWe study scalar field theory as a generalization of point particle mechanics using the Polyakov action, and demonstrate how to extend Lorentzian and Riemannian Eisenhart lifts to the theory in a…Sumanto Chanda, Partha Guha·May 13, 2019SaveLearn
Serrodyne frequency translation using time-modulated metasurfacesTemporally modulated metamaterials have attracted significant attention recently due to their non-reciprocal and frequency converting properties. Here, a transparent, time-modulated metasurface that…Zhanni Wu, Anthony Grbic·May 13, 2019SaveLearn
Acoustic force of the gravitational typeIn this paper it was shown that, under certain restrictive conditions, Bjerknes secondary forces are attractive and proportionate to the product of the virtual masses of the two bubbles.Ion Simaciu, Gheorghe Dumitrescu, Zoltan Borsos·May 8, 2019SaveLearn
Sensing with the harmonic oscillatorA system obeying the harmonic oscillator equation of motion can be used as a force or proper acceleration sensor. In this short review we derive analytical expressions for the sensitivity of such…Gerard P. Conangla·May 6, 2019SaveLearn
Chromatic Aberration in MetalensesThis paper provides a mathematical approach to study chromatic aberration in metalenses. It is shown that radiation of a given wavelength is refracted according to a generalized Snell's law which…Cristian E. Gutiérrez, Ahmad Sabra·May 3, 2019SaveLearn
A family of higher-order single layer plate models meeting C0z -- requirements for arbitrary laminatesIn the framework of displacement-based equivalent single layer (ESL) plate theories for laminates, this paper presents a generic and automatic method to extend a basis higher-order shear deformation…A. Loredo, M. d'Ottavio, P Vidal et al.·May 2, 2019SaveLearn
To square root the Lagrangian or not: an underlying geometrical analysis on classical and relativistic mechanical modelsThe geodesic has a fundamental role in physics and in mathematics: roughly speaking, it represents the curve that minimizes the arc length between two points on a manifold. We analyze a basic but…B. F. Rizzuti, G. F. Vasconcelos Júnior, M. A. Resende·May 2, 2019SaveLearn
Green Functions, Sommerfeld Images, and WormholesElectrostatic Green functions for grounded equipotential circular and elliptical rings, and grounded hyperspheres in n-dimension electrostatics, are constructed using Sommerfeld's method. These…Hassan Alshal·Apr 30, 2019SaveLearn
Proceedings of the 42nd Scandinavian Symposium on Physical AcousticsThe 42nd Scandinavian Symposium on Physical Acoustics was held at Geilo, Norway from January 27 to January 30, 2019. It was arranged by the Acoustics and Optics group of the Norwegian Physical…Erlend Magnus Viggen, Lars Hoff·Apr 29, 2019SaveLearn
The Noether charges of all analytic Lagrangians associated with a scale invariant actionHere we consider scale invariant dynamical systems within a classical particle description of Lagrangian mechanics. We begin by showing the condition under which a spatial and temporal scale…Erik D. Fagerholm, Robert Leech·Apr 29, 2019SaveLearn