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Q-factor and bandwidth of periodic antenna arrays over ground planeSep 17 2019In this paper, the Q-factor expression for periodic arrays over a ground plane is determined in terms of the electric current density within the array's unit cell. The expression accounts for the exact shape of the array element. The Q-factor formula ... More
Slow dynamics in a single glass beadSep 17 2019Slow dynamic nonlinearity is ubiquitous amongst brittle materials, such as rocks and concrete, with cracked microstructures. A defining feature of the behavior is the logarithmic-in-time recovery of stiffness after a mechanical conditioning. Materials ... More
Let's deflate that beach ballSep 16 2019We investigate the relationship between pre-buckling and post-buckling states as a function of shell properties, within the deflation process of shells of an isotropic material. With an original and low-cost set-up that allows to measure simultaneously ... More
Symmetry Breaking in UCA-Based Vortex WavesSep 14 2019In literature, it is often said that a uniform circular array (UCA) composed of a sufficient number of radiating elements is able to generate a vortex wave with arbitrary topological charge. While providing a very simple and intuitive solution without ... More
The spinning particles -- classical descriptionSep 13 2019The classical model of spinning particle is analyzed in details in two versions - with single spinor and two spinors put on the trajectory. Equations of motion of the first version are easily solvable. The system with two spinors becomes non-linear. Nevertheless ... More
Wave transmission across surface interfaces in lattice structuresSep 13 2019Within the lattice dynamics formulation, we present an exact solution for anti-plane surface waves in a square lattice strip with a surface row of material particles of two types separated by a linear interface. The considered problem is a discrete analog ... More
A Statistical Solution to the Chaotic, Non-Hierarchical Three-Body ProblemSep 11 2019The three-body problem is arguably the oldest open question in astrophysics, and has resisted a general analytic solution for centuries. Various implementations of perturbation theory provide solutions in portions of parameter space, but only where hierarchies ... More
Sustained rotation in a vibrated disk with asymmetric supportsSep 09 2019A single frictional elastic disk, supported against gravity by two others, rotates steadily when the supports are vibrated and the system is tilted with respect to gravity. Rotation is here studied using Molecular Dynamics Simulations, and a detailed ... More
Calibration of a Fluid-Structure Problem with KerasSep 09 2019In this short paper we report on an inverse problem issued from a physical system, namely a fluid structure problem where the parameters are the rigidity constant, the solid-fluid density ratio and the fluid viscosity. We have chosen a simple geometry ... More
Wave scattering properties of multiple weakly-coupled complex systemsSep 06 2019The statistics of scattering of waves inside single ray-chaotic enclosures have been successfully described by the Random Coupling Model (RCM). We expand the RCM to systems consisting of multiple complex ray-chaotic enclosures with variable coupling scenarios. ... More
Unified discrete approach of acceleration conservationSep 05 2019Discrete mechanics is used to present fluid mechanics, fluid-structure interactions, electromagnetism and optical physics in a coherent theoretical and numerical approach. Acceleration considered as an absolute quantity is written as a sum of two terms, ... More
Configurational forces and nonlinear structural dynamicsSep 05 2019Configurational, or Eshelby-like, forces are shown to strongly influence the nonlinear dynamics of an elastic rod constrained with a frictionless sliding sleeve at one end and with an attached mass at the other end. The configurational force, generated ... More
On transformations and graphic methods of algebraically 3 dimensional force, velocity and displacement systemsSep 05 2019In engineering practice one often encounters planar problems, where the corresponding vector space of forces, velocities or (infinitesimal) displacements is three dimensional. This paper shows how these spaces can be factorized, such that the arising ... More
On transformations and graphic methods of algebraically 3 dimensional force, velocity and displacement systemsSep 05 2019Sep 10 2019In engineering practice one often encounters planar problems, where the corresponding vector space of forces, velocities or (infinitesimal) displacements is three dimensional. This paper shows how these spaces can be factorized, such that the arising ... More
On $Λ$-ElasticaSep 04 2019In this paper, we investigate a transition from an elastica to a piece-wised elastica whose connected point defines the hinge angle $\phi_0$; we refer the piece-wised elastica $\Lambda_{\phi_0}$-elastica or $\Lambda$-elastica. The transition appears in ... More
Self-consistent approach to the description of relaxation processes in classical multiparticle systemsSep 03 2019The concept of time correlation functions is a very convenient theoretical tool in describing relaxation processes in multiparticle systems because, on one hand, correlation functions are directly related to experimentally measured quantities (for example, ... More
Radiation reaction, over-reaction, and under-reactionSep 03 2019The subject of radiation reaction in classical electromagnetism remains controversial over 120 years after the pioneering work of Lorentz. We give a simple but rigorous treatment of the subject at the textbook level that explains the apparent paradoxes ... More
Normal Form of Equivariant Maps and Singular Symplectic Reduction in Infinite Dimensions with Applications to Gauge Field TheorySep 02 2019A local normal form theorem for smooth equivariant maps between Fr\'echet manifolds is established. Moreover, an elliptic version of this theorem is obtained. The proof these normal form results is inspired by the Lyapunov-Schmidt reduction for dynamical ... More
Feasible Rotator Using Zero Index Metamaterials and Perfect Electric ConductorsAug 31 2019We report the design of a new electromagnetic device with a new mapping function to have simultaneous electromagnetic concentration and rotation using a singular radial mapping. We implement such a device only by using alternating structure of zero index ... More
Weak invariants in dissipative systems: Action principle and Noether charge for kinetic theoryAug 31 2019In nonequilibrium classical thermostatistics, the state of a system may be described by not only dynamical/thermodynamical variables but also a kinetic distribution function. This "double structure" bears some analogy with that in quantum thermodynamics, ... More
Control of Synchronization in two-layer power gridsAug 30 2019In this work the dynamics of a two-layer network, modelling the Italian high voltage power grid is investigated. The first layer in our model represents the power grid consisting of generators and consumers, while the second layer represents a dynamic ... More
Noether-type theorem for fractional variational problems depending on fractional derivatives of functionsAug 29 2019In the present work, by taking advantage of a so-called practical limitation of fractional derivatives, namely, the absence of a simple chain and Leibniz's rules, we proposed a generalized fractional calculus of variation where the Lagrangian function ... More
Machine-learning techniques for the optimal design of acoustic metamaterialsAug 28 2019Recently, an increasing research effort has been dedicated to analyse the transmission and dispersion properties of periodic acoustic metamaterials, characterized by the presence of local resonators. Within this context, particular attention has been ... More
An Integrodifferential Equation for Electromagnetic Fields in Linear Dispersive MediaAug 27 2019We extend the usual derivation of the wave equation from Maxwell's equations in vacuum to the case of electromagnetic fields in dispersive homogeneous isotropic linear media. Usually, dispersive properties of materials are studied in Fourier space. However, ... More
Angular-asymmetric transmitting metasurface and splitter for acoustic wave: a combining of the Coherent Perfect Absorber and LaserAug 27 2019Coherent Perfect Absorber (CPA) and Laser is a pair of inversely worked wave structure satisfying the time-reversal relation. We point out that, if the wave energy absorbed by CPA can be recovered by somewhat way and then be reemitted by its corresponded ... More
Angular-asymmetric transmitting metasurface and splitter for acoustic wave: a combining of the Coherent Perfect Absorber and LaserAug 27 2019Aug 29 2019Coherent Perfect Absorber (CPA) and Laser is a pair of inversely worked wave structure satisfying the time-reversal relation. We point out that, if the wave energy absorbed by CPA can be recovered by somewhat way and then be reemitted by its corresponded ... More
Revisiting the Coulomb-Damped Harmonic OscillatorAug 26 2019The force of dry friction is studied extensively in introductory physics but its effect on oscillations is hardly ever mentioned. Instead, to provide a mathematically tractable introduction to damping, virtually all authors adopt a viscous resistive force. ... More
Nonconservation of Energy and Loss of Determinism II: Colliding with an Open SetAug 26 2019An actual infinity of colliding balls can be in a configuration in which the laws of mechanics lead to logical inconsistency. It is argued that one should therefore limit the domain of these laws to a finite, or only a potentially infinite number of elements. ... More
Nonconservation of Energy and Loss of Determinism I. Infinitely Many BallsAug 26 2019An infinite number of elastically colliding balls is considered in a classical, and then in a relativistic setting. Energy and momentum are not necessarily conserved globally, even though each collision does separately conserve them. This result holds ... More
On the existence of regular tetrahedral non-homothetic homographic solutionAug 24 2019It is well known that the three-body problem has few analytical solutions in certain symmetrical constraints; the Lagrangian triangular solution is one of them. This triangular solution has been revisited by R.Broucke and H.Lass in 1971, concerning three ... More
Slow dynamic nonlinearity in unconsolidated glass bead packsAug 23 2019Aug 26 2019Slow dynamic nonlinearity describes a poorly understood, creep-like phenomena that occurs in brittle composite materials such as rocks and cement. It is characterized by a drop in stiffness induced by a mechanical conditioning, followed by a log(time) ... More
Slow dynamic nonlinearity in unconsolidated glass bead packsAug 23 2019Sep 13 2019Slow dynamic nonlinearity describes a poorly understood, creep-like phenomena that occurs in brittle composite materials such as rocks and cement. It is characterized by a drop in stiffness induced by a mechanical conditioning, followed by a log(time) ... More
Slow dynamic nonlinearity in unconsolidated glass bead packsAug 23 2019Slow dynamic nonlinearity describes a poorly understood, creep-like phenomena that occurs in brittle composite materials such as rocks and cement. It is characterized by a drop in stiffness induced by a mechanical conditioning, followed by a log(time) ... More
Holographic metasurfaces simulations applied to realization of non-diffracting waves in the microwave regimeAug 22 2019In this work, we present the computational realization of holographic metasurfaces to generation of the non-diffracting waves. These holographic metasurfaces (HMS) are simulated by modeling a periodic lattice of metallic patches on dielectric substrates ... More
Acoustic vortex beams in synthetic magnetic fieldsAug 22 2019We analyze propagation of acoustic vortex beams in longitudinal synthetic magnetic fields. We show how to generate two field configurations using a fluid contained in circulating cylinders: a uniform synthetic magnetic field hosting Laguerre-Gauss modes, ... More
Large-Angle, Broadband and Multifunctional Gratings Based on Directively Radiating Waveguide ScatterersAug 21 2019Conventional surface-relief gratings are inefficient at deflecting normally-incident light by large angles. This constrains their use in many applications and limits the overall efficiency of any optical instrument integrating gratings. Here, we demonstrate ... More
Thermodynamically Extended Symplectic Numerical Scheme with Half Space and Time Shift Applied for Rheological Waves in SolidsAug 21 2019On the example of the Poynting-Thomson-Zener rheological model for solids, which exhibits both dissipation and wave propagation - with nonlinear dispersion relation -, we introduce and investigate a finite difference numerical scheme for continuum thermodynamical ... More
Time Scale for Velocity to Track a ForceAug 21 2019In this paper we derive and discuss the time it takes for a force to turn a velocity. More precisely, we derive the formula for the time $\tau$ it takes a constant force that makes an angle $\alpha$ with the initial velocity $\vec{v}(0)$ to have $\vec{v}(\tau)$ ... More
Electromagnetic Helicity in Classical PhysicsAug 18 2019This pedagogical note revisits the concept of electromagnetic helicity in classical systems. In particular, magnetic helicity and its role in mean field dynamo theories is briefly discussed highlighting the major mathematical inconsistency in most of ... More
Electromagnetic Helicity in Classical PhysicsAug 18 2019Aug 26 2019This pedagogical note revisits the concept of electromagnetic helicity in classical systems. In particular, magnetic helicity and its role in mean field dynamo theories is briefly discussed highlighting the major mathematical inconsistency in most of ... More
Conjugated equilibrium solutions for the $2$--body problem in the two dimensional sphere $\mathbb{M}^2_R$ for equal massesAug 14 2019We study here the behaviour of solutions for conjugated (antipodal) points in the $2$-body problem on the two-dimensional sphere $\mathbb{M}^2_R$. We use a slight modification of the classical potential used commonly in \cite{Borisov}, \cite{Diacu} and ... More
An Analytical Approach to Eddy Current in Electromagnetic DampingAug 13 2019This article explains and illustrates an analytical method of calculating eddy current in a metallic spinning gyroscope in external magnetic field. All the assumptions introduced to simplify the calculation are examined to be rational and the result is ... More
Symmetry reduction of the 3-body problem in $\mathbb{R}^4$Aug 13 2019The 3-body problem in $\mathbb{R}^4$ has 24 dimensions and is invariant under translations and rotations. We do the full symplectic symmetry reduction and obtain a reduced Hamiltonian in local symplectic coordinates on a reduced phase space with 8 dimensions. ... More
On a simple derivation of the very low damping escape rate for classical spins by modifying the method of KramersAug 12 2019The original perturbative Kramers' method (starting from the phase space coordinates) (Kramers, 1940) of determining the energy-controlled-diffusion equation for Newtonian particles with separable and additive Hamiltonians is generalized to yield the ... More
Sound waves move matterAug 12 2019A recent Letter has reported that sound waves can carry gravitational mass. I analyze this effect in a Hooke's law solid, considering a wave packet moving in the $z$ direction with an amplitude that is independent of $x$ and $y$. The analysis shows that, ... More
Scattering from a non-linear structured interfaceAug 12 2019We review the scattering from non-linear interfaces containing buckling elastic beams. An illustrative example is discussed here of scattering of linear elastic pressure waves from a two-mass system connected by a non-linear structured interface modelled ... More
An experiment imply that electrons rotate around their own axes in magnetic field and Lorentz force is the result of Magnus effectAug 11 2019Aug 31 2019This paper reports an experiment about abnormal deflection of cathode ray in a specially designed odd-symmetric magnetic field, which is generated by two reverse-connected solenoids. The experiment indicates that during cathode ray passes through an odd-symmetric ... More
Abnormal deflection of an electron crossing the boundary of opposite magnetic fieldsAug 11 2019This paper reports an experiment about abnormal deflection of cathode ray in a specially designed odd-symmetric magnetic field, which is generated by two reverse-connected solenoids. The experiment indicates that during cathode ray passes through an odd-symmetric ... More
Viscoelastic flows with conservation lawsAug 09 2019We propose in this work the first symmetric hyperbolic system of conservation laws to describe viscoelastic flows of Maxwell fluids, i.e. fluidswith memory that are characterized by one relaxation-time parameter. Precisely, the system of quasilinear PDEs ... More
A Knotted Meta-molecule with 2-D Isotropic Optical Activity Rotating the Incident Polarization by 90°Aug 08 2019Optical activity is the ability of chiral materials to rotate linearly-polarized (LP) electromagnetic waves. Because of their intrinsic asymmetry, traditional chiral molecules usually lack isotropic performance, or at best only possess a weak form of ... More
Guiding neutral polar molecules by electromagnetic vortex field --- a classical approachAug 06 2019It is shown, within classical mechanics, that the field of an electromagnetic vortex is capable of capturing and guiding neutral molecules endowed with a permanent electric dipole moment (PEDM). Similarly as in the case of the magnetic field applied to ... More
A Principle of Least Action for the First Law of Thermodynamics in Rational MechanicsAug 06 2019A new theoretical procedure is presented to study the conservation of energy equation with dissipation in continuum mechanics in 1D. This procedure is used to transform this nonlinear evolution-diffusion equation into a hyperbolic PDE; specifically, a ... More
Comments on "Scattering Cancellation-Based Cloaking for the Maxwell--Cattaneo Heat Waves"Aug 06 2019A number of errors, both mathematical and conceptual, are identified, in a recent article by Farhat \textit{et al.}\ [Phys.\ Rev.\ Appl.\ \textbf{11}, 044089 (2019)] on cloaking of thermal waves in solids, and corrected. The differences between the two ... More
Nested Bloch waves in elastic structures with configurational forcesAug 05 2019Small axial and flexural oscillations are analyzed for a periodic and infinite structure, constrained by sliding sleeves and composed of elastic beams. A nested Bloch-Floquet technique is introduced to treat the non-linear coupling between longitudinal ... More
Identification of second-gradient elastic materials from planar hexagonal lattices. Part II: Mechanical characteristics and model validationAug 05 2019Positive definiteness and symmetry of the constitutive tensors describing a second-gradient elastic (SGE) material, which is energetically equivalent to a hexagonal planar lattice made up of axially deformable bars, are analyzed by exploiting the closed ... More
Identification of second-gradient elastic materials from planar hexagonal lattices. Part I: Analytical derivation of equivalent constitutive tensorsAug 05 2019A second-gradient elastic (SGE) material is identified as the homogeneous solid equivalent to a periodic planar lattice characterized by a hexagonal unit cell, which is made up of three different linear elastic bars ordered in a way that the hexagonal ... More
Observation of the resonance frequencies of a stable torus of fluidAug 05 2019We report the first quantitative measurements of the resonance frequencies of a torus of fluid confined in a horizontal Hele-Shaw cell. By using the unwetting property of a metal liquid, we are able to generate a stable torus of fluid with an arbitrary ... More
Transparent Negative Index of Refraction Metamaterial Using a Wire Array in a Magnetic HostAug 04 2019We have made measurements of microwave transmission over the 12 - 18 GHz range and through a simple metamaterial exhibiting a negative index of refraction. The metamaterial consisted of an array of wires cladded in dielectric embedded in a magnetic ferrite. ... More
Giant magnetoelastic coupling in Love acoustic waveguide based on uniaxial multilayered TbCo2/FeCo nanostructured thin film on Quartz ST-cutAug 02 2019Coupling between dynamic strain and magnetization in ferromagnetic thin films has attracted special consideration as it presents both intriguing fundamental physics problems and technological importance for potential multi-functional devices and information ... More
Absorption and Stimulated Emission by a Thin Slab Obeying the Lorentz Oscillator ModelAug 01 2019In his celebrated 1916-17 papers in which he proposed the A and B coefficients for the spontaneous and stimulated emission of energy quanta from excited atoms, Einstein conjectured that stimulated emission involves the release of individual quanta (later ... More
Direct simulation of second sound in graphene by solving the phonon Boltzmann equation via a multiscale schemeJul 31 2019The direct simulation of the dynamics of second sound in graphitic materials remains a challenging task due to lack of methodology for solving the phonon Boltzmann equation in such a stiff hydrodynamic regime. In this work, we aim to tackle this challenge ... More
Classical Planck Spectrum for Relative Thermal Radiation, Classical Zero-Point Radiation, and Scale ParameterJul 27 2019In this work we obtain Planck's blackbody spectrum from the thermal scalar radiation contained in a resonant cavity of volume V in the context of classical mechanics, which provides the classical zero-point electromagnetic radiation in terms of a scale ... More
Learning and Interpreting Potentials for Classical Hamiltonian SystemsJul 26 2019We consider the problem of learning an interpretable potential energy function from a Hamiltonian system's trajectories. We address this problem for classical, separable Hamiltonian systems. Our approach first constructs a neural network model of the ... More
A new class of solutions to Laplace equation: Regularized multipoles of negative ordersJul 26 2019We introduce a new class of solutions to Laplace equation, dubbed logopoles, and use them to derive a new relation between solutions in prolate spheroidal and spherical coordinates. The main novelty is that it involves spherical harmonics of the second ... More
The force on a point charge source of the classical electromagnetic fieldJul 25 2019Sep 07 2019It is shown that a well-defined expression for the total electromagnetic force $f^{em}$ on a point charge source of the classical electromagnetic field can be extracted from the postulate of total momentum conservation whenever the classical electromagnetic ... More
The force on a point charge source of the classical electromagnetic fieldJul 25 2019It is shown that a well-defined expression for the total electromagnetic force $f^{em}$ on a point charge source of the classical electromagnetic field can be extracted from the postulate of total momentum conservation whenever the classical electromagnetic ... More
The force on a point charge source of the classical electromagnetic fieldJul 25 2019Aug 16 2019It is shown that a well-defined expression for the total electromagnetic force $f^{em}$ on a point charge source of the classical electromagnetic field can be extracted from the postulate of total momentum conservation whenever the classical electromagnetic ... More
Speed of transverse waves in a string revisitedJul 24 2019In many introductory-level physics textbooks, the derivation of the formula for the speed of transverse waves in a string is either omitted altogether or presented under physically overly idealized assumptions about the shape of the considered wave pulse ... More
Structural models based on 3D constitutive laws: variational structure and numerical solutionJul 24 2019In all structural models, the section or fiber response is a relation between the strain measures and the stress resultants. This relation can only be expressed in a simple analytical form when the material response is linear elastic. For other, more ... More
In-plane backward and Zero-Group-Velocity guided modes in rigid and soft stripsJul 23 2019Elastic waves guided along bars of rectangular cross section exhibit complex dispersion. This paper studies in-plane modes propagating at low frequencies in thin isotropic rectangular waveguides through experiments and numerical simulations. These modes ... More
Research on the Work-Energy Principle Based Characteristic Mode Theory for Scattering SystemsJul 22 2019Jul 31 2019Electromagnetic (EM) scattering systems widely exist in EM engineering domain. For a certain objective scattering system, all of its working modes constitute a linear space, i.e. modal space. Characteristic mode theory (CMT) can effectively construct ... More
Innovative statistical method for simulating spontaneous emittersJul 22 2019In this paper, one of the major shortcomings of the conventional numerical approaches is alleviated by introducing the probabilistic nature of molecular transitions into the framework of classical computational electrodynamics. The main aim is to develop ... More
Developing a time-domain method for simulating statistical behaviour of many-emitter systems in the presence of electromagnetic fieldJul 22 2019Sep 02 2019In this paper, one of the major shortcomings of the conventional numerical approaches is alleviated by introducing the probabilistic nature of molecular transitions into the framework of classical computational electrodynamics. The main aim is to develop ... More
The number of independent invariants for m unit vectors and n symmetric second order tensors is 2m+ 6n-3Jul 20 2019Anisotropic invariants play an important role in continuum mechanics. Knowing the number of independent invariants is crucial in modelling and in a rigorous construction of a constitutive equation for a particular material, where it is determined by doing ... More
On the n-body problem in $\mathbb{R}^4$Jul 20 2019Using geometric mechanics methods, we examine aspects of the dynamics of n mass points in $\mathbb{R}^4$ with a general pairwise potential. We investigate the central force problem, set up the n-body problem and discuss certain properties of relative ... More
Multiple Scales Asymptotic Solution For The Constant Radial Thrust ProblemJul 19 2019An approximate analytical solution for the two body problem perturbed by a radial, low acceleration is obtained, using a regularized formulation of the orbital motion and the method of multiple scales. Formulating the dynamics with the Dromo special perturbation ... More
Average Linear and Angular Momentum and Power of Random Fields Near a Perfectly Conducting BoundaryJul 19 2019The effect of a perfectly conducting planar boundary on the average linear momentum (LM), angular (momentum (AM), and power of a time-harmonic statistically isotropic random field is analyzed. These averages are purely imaginary and their magnitude decreases ... More
Average Linear and Angular Momentum and Power of Random Fields Near a Perfectly Conducting BoundaryJul 19 2019Sep 06 2019The effect of a perfectly conducting planar boundary on the average linear momentum (LM), angular (momentum (AM), and power of a time-harmonic statistically isotropic random field is analyzed. These averages are purely imaginary and their magnitude decreases ... More
Integrable elliptic billiards and ballyardsJul 18 2019The billiard problem concerns a point particle moving freely in a region of the horizontal plane bounded by a closed curve $\Gamma$, and reflected at each impact with $\Gamma$. The region is called a `billiard', and the reflections are specular: the angle ... More
Graded metasurface for enhanced sensing and energy harvestingJul 18 2019In elastic wave systems, combining the powerful concepts of resonance and spatial grading within structured surface arrays enable resonant metasurfaces to exhibit broadband wave focusing, mode conversion from surface (Rayleigh) waves to bulk (shear) waves, ... More
Reply to "Comment on 'Analysis of Recent Interpretations of the Abraham-Minkowski Problem'"Jul 18 2019The Comment of M. Partanen and J. Tulkki [Phys. Rev. A {\bf 100}, 017801 (2019)] claims that my criticism expressed in Phys. Rev. A {\bf 98}, 043847 (2018) of the earlier paper of Partanen {\it et al.} [Phys. Rev. A {\bf 95}, 063850 (2017)] was incorrect. ... More
Resonant-state expansion applied to three-dimensional open optical systems: A complete set of static modesJul 17 2019We present two alternative complete sets of static modes of a homogeneous dielectric sphere, for their use in the resonant-state expansion (RSE), a rigorous perturbative method in electrodynamics. Physically, these modes are needed to correctly describe ... More
Mathematical analysis of the operation of a scanning Kelvin probeJul 17 2019The scanning Kelvin probe is a tool that allows for the contactless evaluation of contact potential differences in a range of materials, permitting the indirect determination of surface properties such as work function or Fermi levels. In this paper, ... More
Acoustic Multifunctional Logic Gates and Amplifier based on Parity-Time SymmetryJul 17 2019Acoustic analogue computation and signal processing are of great significance, however, it's challenging to realize the acoustic computing devices because of their limitation of single function and complex structure. The reveal of time-reversal property ... More
Demystifying the Lagrangian of classical mechanicsJul 16 2019The Lagrangian formulation of classical mechanics is extremely useful for a vast array of physics problems encountered in the undergraduate and graduate physics curriculum. Unfortunately, many treatments of this topic lack explanations of the most basic ... More
Analytical Expressions for a Hyperspherical Adiabatic Basis Suitable for a particular Three Particle Problem in 2 DimensionsJul 16 2019For a particular case of three-body scattering in two dimensions, and matching analytical expressions at a transition point, we obtain accurate solutions for the adiabatic basis and potential. We find analytical expressions for the respective, asymptotic, ... More
Curvature affects electrolyte relaxation: studies of spherical and cylindrical electrodesJul 16 2019With two minimal models, I study how electrode curvature affects the response of electrolytes to applied electrostatic potentials. For flat electrodes, Bazant et al. [Phys. Rev. E. 70, 021506 (2004)] popularized the "RC" timescale $\lambda_{\textrm{D}} ... More
Deterministic Scheme for Type-II Dirac Points and Experimental Realization in AcousticsJul 16 2019Low-energy electrons near Dirac/Weyl nodal points mimic massless relativistic fermions. However, as they are not constrained by Lorentz invariance, they can exhibit tipped-over type-II Dirac/Weyl cones which provide highly anisotropic physical properties ... More
Proper-time measurement in accelerated relativistic systemsJul 12 2019Separate constituents of extended systems measure proper-times on different world-lines. Relating and comparing proper-time measurements along any two such world-lines requires that common simultaneity be possible, which in turn implies that the system ... More
Estimating tropospheric and stratospheric winds using infrasound from explosionsJul 12 2019The receiver-to-source backazimuth of atmospheric infrasound signals is biased when cross-winds are present along the propagation path. Infrasound from 598 surface explosions from over 30 years in northern Finland is measured with high spatial resolution ... More
Localised flexural waves in wedges of power-law profile and their relationship with acoustic black holesJul 11 2019In the present paper, the relationship between localised flexural waves in wedges of power-law profile and flexural wave reflection from acoustic black holes is examined. The geometrical acoustics theory of localised flexural waves in wedges of power-law ... More
Continuous changes of variables and the Magnus expansionJul 11 2019In this paper, we are concerned with a formulation of Magnus and Floquet-Magnus expansions for general nonlinear differential equations. To this aim, we introduce suitable continuous variable transformations generated by operators. As an application of ... More
Dual solutions Schrödinger type for Poisson equation in dielectric and magnetic linear mediaJul 10 2019Solutions are obtained for the dual form of the Schr\"odinger equation got from the transformation of Poisson equation for the vector and the scalar potential, in dielectric and magnetic materials, having into account homogeneous isotropic linear mechanisms. ... More
Geometric Justification of the Fundamental Interaction Fields for the Classical Long-Range ForcesJul 10 2019Based on the principle of Reparametrization Invariance the general structure of physically relevant classical matter systems is illuminated within the Lagrangian framework. The canonical structure of a reparametrization invariant Lagrangian for an extended ... More
Magnetostatic Analogy of the Zero Energy State of Jackiw-RebbiJul 10 2019We prepared a similarity between the Poisson equation in non-homogeneous magnetic material media and Dirac's one-dimensional equation for the zero-energy state, which establishes a connections with the Jackiw-Rebbi model in one dimension for this same ... More
Ordering magnetic dipole moments in resonant dielectric metasurfacesJul 09 2019Artificial magnetism at optical frequencies can be realized in metamaterials composed of periodic arrays of subwavelength elements (meta-atoms). Here we demonstrate that optically-induced magnetic moments can be arranged in both ferromagnetic (FM) and ... More
Perfect conversion of a TM surface-wave into a TM leaky-wave by an isotropic periodic metasurface printed on a grounded dielectric slabJul 08 2019This paper presents an exact solution for a perfect conversion of a TM-polarized surface wave (SW) into a TM-polarized leaky-wave (LW) using a reciprocal and lossless penetrable metasurface (MTS) characterized by a scalar sheet impedance, located on a ... More
Spherical nano-inhomogeneity with Steigmann-Ogden interface model under general uniform far-field stressJul 06 2019An explicit analytical solution considering interface bending resistance based on the Steigmann-Ogden interface model is derived for a spherical nano-inhomogeneity (nanoscale void/inclusion) embedded in an infinite matrix under general uniform far-field ... More
Nano-composites considering both interface stretching and bending effects. Part I: Elastic fields around a spherical inhomogeneityJul 06 2019Aug 20 2019An explicit solution, considering the interface bending resistance as described by the Steigmann-Ogden interface model, is derived for the problem of a spherical nano-inhomogeneity (nanoscale void/inclusion) embedded in an infinite linear-elastic matrix ... More
Spherical nano-inhomogeneity with the Steigmann-Ogden interface model under general uniform far-field stress loadingJul 06 2019Aug 31 2019An explicit solution, considering the interface bending resistance as described by the Steigmann-Ogden interface model, is derived for the problem of a spherical nano-inhomogeneity (nanoscale void/inclusion) embedded in an infinite linear-elastic matrix ... More