The algebraic origin of the Doppler factor in the Lienard-Wiechert potentialsAfter reviewing the algebraic derivation of the Doppler factor in the Lienard-Wiechert potentials of an electrically charged point particle, we conclude that the Dirac delta function used in…Calin Galeriu·Oct 30, 2022SaveLearn
Rotations in classical mechanics using geometric algebraIn geometric algebra, the rotation of a vector is described using rotors. Rotors are phasors where the imaginary number has been replaced by a oriented plane element of unit area called a unit…S. D. Brechet·Oct 30, 2022SaveLearn
A short note on the buoyant force in nonuniform gravitational fieldsLima and Monteiro [1] derived the buoyant force in a nonuniform gravitational field by applying a gradient version of the divergence theorem to the surface integral of the pressure forces [2]. Here…Pier Franco Nali·Oct 26, 2022SaveLearn
Model of block media taking into account internal frictionThe block medium is modeled by a discrete-periodic spatial lattice of masses connected by elastic springs and viscous dampers. To describe the viscoelastic behavior of the interblock layers, a…N. I. Aleksandrova·Oct 26, 2022SaveLearn
Multi-element metamaterial's design through the relaxed micromorphic modelExploring the dynamical response of mechanical metamaterials has gathered increasing attention in the last decades, enabling the design of microstructures exotically interacting with elastic waves…Leonardo A. Perez Ramirez, Gianluca Rizzi, Angela Madeo·Oct 26, 2022SaveLearn
Edge of Infinity: The Clash between Edge Effect and Infinity Assumption for the Distribution of Charge on a Conducting PlateWe re-examine a familiar problem given in introductory physics courses, about determining the induced charge distribution on an uncharged ``infinitely-large'' conducting plate when placing…Quy C. Tran, Nam H. Nguyen, Thach A. Nguyen et al.·Oct 24, 2022SaveLearn
Curved beam generation and its experimental realization by rectangular prism with asymmetric polynomial back surfaceWith the discovery of self-accelerating beams, possibility of obtaining curved light beams in free space has been realized. These special beams paved the way for many new applications as well as the…Berkay Neşeli, Hamza Kurt, Mirbek Turduev·Oct 24, 2022SaveLearn
Theoretical and numerical modeling of Rayleigh wave scattering by an elastic inclusionThis work presents theoretical and numerical models for the backscattering of two-dimensional Rayleigh waves by an elastic inclusion, with the host material being isotropic and the inclusion having…Shan Li, Ming Huang, Yongfeng Song et al.·Oct 24, 2022SaveLearn
Electromagnetic Force and Momentum in Classical Macroscopic Dipolar MediaUsing realistic classical models of microscopic electric-charge electric dipoles and electric-current (Amperian) magnetic dipoles, it is proven that the Einstein-Laub macroscopic electromagnetic…Arthur D. Yaghjian·Oct 21, 2022SaveLearn
Bound states in the continuum in circular clusters of scatterersIn this work, we study the localization of flexural waves in highly symmetric clusters of scatterers. It is shown that when the scatterers are placed regularly in the perimeter of a circumference the…Marc Martí-Sabaté, Bahram Djafari-Rouhani, Dani Torrent·Oct 17, 2022SaveLearn
Preservation of the harmonic overtones in the violin family beyond StradivariThree hundred years ago, Antonio Stradivari enjoyed the golden period of the violin making in the human history. Luthiers and researchers endeavor to study his legendary legacy. Unfortunately, a…Li Su, Chen-Chieh Chang, Yu-Ming Lin et al.·Oct 17, 2022SaveLearn
Elastic Wave Scattering off a Single and Double Array of Periodic DefectsElastic waves scattering off a periodic single and double array of thin cylindrical defects is considered for isotropic materials. An analytical expression for the scattering matrix is obtained by…Omer Haq, Sergei Shabanov·Oct 15, 2022SaveLearn
The anti-localization of non-stationary linear waves and its relation to the localization. The simplest illustrative problemWe introduce a new wave phenomenon, which can be observed in continuum and discrete systems, where a trapped mode exists under certain conditions, namely, the anti-localization of non-stationary…Ekaterina V. Shishkina, Serge N. Gavrilov, Yulia A. Mochalova·Oct 13, 2022SaveLearn
Sound Waveguiding by Spinning: An Avenue towards Unidirectional Acoustic Spinning FibersWaveguiding in general and acoustic waveguiding in particular are possible at the condition of having a transverse "discontinuity" or modulation of the refractive index. We propose here a…Mohamed Farhat, Pai-Yen Chen, Ying Wu·Oct 13, 2022SaveLearn
Engineering Equifrequency Contours of Metasurfaces for Self-Collimated Surface Wave SteeringMetasurfaces provide unique capability in guiding surface waves and controlling their polarization and dispersion properties. One way to do that is by analyzing their equifrequency contours.…Sara M. Kandil, Dia'aaldin J. Bisharat, Daniel F. Sievenpiper·Oct 13, 2022SaveLearn
Electrodynamics in geometric algebraWe consider the electrodynamics of electric charges and currents in vacuum and then generalise our results to the description of a dielectric and magnetic material medium : first in spatial algebra…Sylvain D. Brechet·Oct 11, 2022SaveLearn
Conformal Fisher information metric with torsionWe consider torsion in parameter manifolds that arises via conformal transformations of the Fisher information metric, and define it for information geometry of a wide class of physical systems. The…Kunal Pal, Kuntal Pal, Tapobrata Sarkar·Oct 10, 2022SaveLearn
Observation of polarization singularities and topological textures in sound wavesPolarization singularities and topological polarization structures are generic features of inhomogeneous vector wave fields of any nature. However, their experimental studies mostly remain restricted…R. D. Muelas-Hurtado, K. Volke-Sepulveda, J. L. Ealo et al.·Oct 8, 2022SaveLearn
Elementary derivations of centripetal acceleration and works of Huygens and Newton: a revisit with a simple physical derivationThis work shows how two simple derivations of the centripetal acceleration are fundamentally related to seminal works of Huygens and Newton. A different, more physically motivated derivation is then…Siu A. Chin·Oct 7, 2022SaveLearn
Concerning Classical Forces, Energies, and Potentials for Accelerated Point ChargesAlthough the expressions for energy densities involving electric and magnetic fields are exactly analogous, the connections to forces and electromagnetic potentials are vastly different. For…Timothy H. Boyer·Oct 7, 2022SaveLearn
Tailored Topological Edge Waves via Chiral Hierarchical MetamaterialsPrecise manipulation of the direction and re-direction of vibrational wave energy is a key demand in wave physics and engineering. We consider the paradigm of a finite frame-like structure and the…Jacopo M. De Ponti, Luca Iorio, Gregory J. Chaplain et al.·Oct 3, 2022SaveLearn
Constant intensity acoustic propagation in the presence of non-uniform properties and impedance discontinuities: Hermitian and non-Hermitian solutionsPropagation of sound through a non-uniform medium without scattering is possible, in principle, if the density and acoustic compressibility assume complex values, requiring passive and active…Andrew N. Norris·Sep 28, 2022SaveLearn
Lyapunov stability analysis of rigid body systems with multiple contacts by sums-of-squares programmingReliable quasi-static object manuipulation and robotic locomotion require verification of the stability of equilibria under rigid contacts and friction. In a recent paper, M. Posa, M. Tobenkin, and…Péter L. Várkonyi·Sep 28, 2022SaveLearn
Large deformations of gradient elastic beamsBudiansky's nonlinear shell theory is particularized to a 2D setting, and thereupon generalized to a fully nonlinear, statically and kinematically exact, theory of strain-gradient elasticity of…Marcelo Epstein, Mohammadjavad Javad·Sep 25, 2022SaveLearn
Spectral-Domain Method of Moments Analysis of Spatially Dispersive Graphene Patch Embedded in Planarly Layered MediaAnisotropic and spatially dispersive graphene patches of arbitrary shape embedded in planarly layered uniaxial media are analyzed using spectral-domain method of moments. Formulation and…Minyu Gu, Krzysztof A. Michalski·Sep 24, 2022SaveLearn