Curved wave rays in a ripple tankIn its broadest sense the term bent wave rays hints at light or electromagnetic waves bending in a strong gravitational field or in their progress through a transparent medium of nonuniform index of…Adel H. Alameh·Feb 18, 2022SaveLearn
Autostabilisation de la phase acoustique dans un miroir Brillouin inversé en présence d'une forte dispersion acoustiqueWe consider a counter-intuitive regime of stimulated Brillouin scattering in which the pump wave absorbs the phase defects of the Stokes wave, yielding a nonlinear self-stabilisation of the acoustic…Carlos Montes, Éric Picholle, Antonio Montes·Feb 15, 2022SaveLearn
Dual Approaches to Express the Generalized Degree of Polarimetric PurityThe degree of polarimetric purity is an invariant dimensionless quantity that characterizes the closeness of a polarization state of a wave to a pure state and is related to the Von Neumann entropy.…Avik Bhattacharya, Subhadip Dey, Alejandro C. Frery·Feb 12, 2022SaveLearn
Representation of the gravitational potential of a level ellipsoid by a simple layerA closed-form expression is obtained for the density of a simple layer, equipotential to an oblate level ellipsoid of revolution in an outer space. The potential of any level spheroid of positive…Danila V. Milanov·Feb 11, 2022SaveLearn
On Electromagnetic TurbulenceCombining a generalized current in the set of Maxwell's equations offers a useful framework to address the complex phenomena of electromagnetic turbulence. The fluidic-electromagnetic analogy…Mario J. Pinheiro·Feb 11, 2022SaveLearn
A generalised distributed-order Maxwell modelIn this work we present a generalised viscoelastic model using distributed-order derivatives. The model consists of two distributed-order elements (distributed springpots) connected in series, as in…Luis Ferrás, Maria Luisa Morgado, Magda Rebelo·Feb 10, 2022SaveLearn
Modelling Autler-Townes splitting and acoustically induced transparency in a waveguide loaded with resonant channelsWe study acoustic wave propagation in a waveguide loaded with two resonant side-branch channels. In the low frequency regime, one-dimensional models are derived in which the effect of the channels…Richard Porter, Kim Pham, Agnes Maurel·Feb 9, 2022SaveLearn
Lorentz transformation in Maxwell equations for slowly moving mediaWe use the method of field decomposition, a technique widely used in relativistic magnetohydrodynamics, to study the small velocity approximation (SVA) of the Lorentz transformation in Maxwell…Xin-Li Sheng, Yang Li, Shi Pu et al.·Feb 7, 2022SaveLearn
Novel Approaches to Solve Simple Harmonic MotionThis paper presents two novel approaches to solve the classic simple harmonic motion. In one approach, the distance between the equilibrium position and the maximal displacement is divided into N…Zhiwei Chong, Yajun Wei·Feb 6, 2022SaveLearn
Doppler Signature in Electrodynamic Retarded PotentialsThe presence of the term (vc) that characterizes the electrodynamic retarded potentials, also known as Liénard-Wiechert potentials, is thought to be reminiscent of a Doppler…Giovanni Perosa, Simone Di Mitri, William A. Barletta et al.·Feb 4, 2022SaveLearn
Comment on "Standard and non-standard Lagrangians for dissipative dynamical systems with variable coefficientes"Z.E. Musielak has reported in 2008 J. Phys. A: Math. Theor. 41 055205 methods to obtain standard and non-standard Lagrangians and identify classes of equations of motion that admit a Lagrangian…Gabriel González·Feb 3, 2022SaveLearn
Relation Between the Partial Derivatives of the Kinetic Energy in the Lagrangian and Hamiltonian Formalisms of DynamicsThe partial derivative of the kinetic energy of a dynamical system with respect to a generalized coordinate as it appears in the Lagrangian formalism is not equal to the derivative of the kinetic…Asghar Ali·Feb 1, 2022SaveLearn
Surface acoustic waves inside polystyrene microparticles through photoacoustic microscopyWe demonstrate surface acoustic waves inside polystyrene microspheres of different sizes experimentally through photoacoustic microscopy and validate the experimental result with simulation. A novel…Abhishek Ranjan, Anowarul Habib, Azeem Ahmad et al.·Jan 31, 2022SaveLearn
Comments on the expanded Maxwell's equations for moving charged media systemIn the recent work~Wang:2021p2, the author proposed the expanded Maxwell's equations for moving charged media system, which seems subtle. Considering a very short time, we can…Chuang Li, Junle Pei, Tianjun Li·Jan 27, 2022SaveLearn
Velocity Gauge Potentials in ElectrodynamicsVector and scalar potentials are used for convenience in solving boundary value problems involving electromagnetic (EM) fields. The potentials are made unique by choosing a non-unique gauge…D. V. Giri, Frederick M. Tesche, Michael A. Morgan·Jan 27, 2022SaveLearn
Relativistic origin of Hertz-form and extended Hertz-form equations for Maxwell theory of electromagnetismWe show explicitly that the Hertz-form Maxwell's equations and their extensions can be obtained from the non-relativistic expansion of Lorentz transformation of Maxwell's equations. The…Fei Wang, Jin Min Yang·Jan 26, 2022SaveLearn
An interpretation for Aharonov-Bohm effect with classical electromagnetic theoryThe magnetic Aharonov-Bohm effect shows that charged particles may be affected by the vector potential in regions without any electric or magnetic fields [1]. The Aharonov-Bohm effect was…Gaobiao Xiao·Jan 26, 2022SaveLearn
Generator of spatial evolution of the electromagnetic fieldStarting with Maxwell's equations and defining normal variables in the Fourier space, we write the equations of temporal evolution of the electromagnetic field with sources in the Hamiltonian and…Dmitri B. Horoshko·Jan 25, 2022SaveLearn
Small oscillations of a heavy symmetric top when magnitudes of conserved angular momenta are equalSmall oscillations of a heavy symmetric top are studied when magnitudes of conserved angular momenta are equal to each other. Results show that the small oscillation approximation can be used in…Vedat Tanriverdi·Jan 23, 2022SaveLearn
Scattering of mechanical waves from the perspective of open systemsIn this paper, we consider the problem of mechanical wave scattering from a spatially finite system into an infinite surrounding environment. The goal is to illuminate why the scattering spectrum…Hossein Khodavirdi, Amir Ashkan Mokhtari, Ankit Srivastava·Jan 22, 2022SaveLearn
Modelling of a cyclist's power for time trials on a velodromeWe formulate a phenomenological model to study the power applied by a cyclist on a velodrome\, -- \,for individual timetrials\, -- \,taking into account the straights, circular arcs, connecting…Len Bos, Michael A. Slawinski, Raphaël A. Slawinski et al.·Jan 18, 2022SaveLearn
Peridynamic stress is the static first Piola-Kirchhoff Virial stressThe peridynamic stress formula proposed by Lehoucq and Silling [1, 2] is cumbersome to be implemented in numerical computations. Here, we show that the peridynamic stress tensor has the exact…Jun Li, Shaofan Li, Xin Lai et al.·Jan 18, 2022SaveLearn
The kilogram: inertial or gravitational mass?With the redefinition of the international system of units, the value of the Planck constant was fixed, similarly to the values of the unperturbed ground state hyperfine transition frequency of the…Giovanni Mana, Stephan Schlamminger·Jan 17, 2022SaveLearn
Hilbert space representation of binary operations on a power-multiplying oscillatorIn this study, the properties of an oscillating system composed of a pendulum connected to a seesaw and placed on a moving platform with a certain slope are analyzed. Using complex numbers to collect…Elena Campillo, Almudena Martínez, Jimena de Hita et al.·Jan 17, 2022SaveLearn
The role of the initial states for non-Fourier heat equationsThere are several models for heat conduction - non-Fourier equations - in the literature that are important for various practical problems. These models manifest themselves in partial differential…Róbert Kovács·Jan 16, 2022SaveLearn