Lectures on Theory of Microwave and Optical WaveguidesThe lecture notes document the mathematical theory of microwave and optical waveguides. We start with reviewing preliminary background from Maxwell's equations. Then we discuss hollow waveguides,…Weng Cho Chew·Jul 20, 2021SaveLearn
Analytical solution of the uniaxial extension problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)We derive analytical solutions for the uniaxial extension problem for the relaxed micromorphic continuum and other generalized continua. These solutions may help in the identification of material…Gianluca Rizzi, Hassam Khan, Ionel-Dumitrel Ghiba et al.·Jul 19, 2021SaveLearn
On the sound dispersion and attenuation in fluids due to thermal and viscous effectsIn this paper, we derive a dispersion relation for sound waves in viscous and heat conducting fluids. In particular this dispersion (i.e. variation of speed of sound with frequency) is shown to be of…Azeddine Zaidni, Saad Benjelloun·Jul 19, 2021SaveLearn
Tailoring Instantaneous Time Mirrors for Time Reversal Focusing in Absorbing MediaThe time reversal symmetry of the wave equation allows wave refocusing back at the source. However, this symmetry does not hold in lossy media. We present a new strategy to compensate wave amplitude…Crystal T. Wu, Nuno M. Nobre, Emmanuel Fort et al.·Jul 12, 2021SaveLearn
Pulling Radiation Force State on Active Spherical Carriers via Varying Phase Incident Wave FieldOn the way of investigating a complete maneuverability technique and based on the emergence of negative acoustic radiation force on an active carrier in a progressive plane wave field, we propose a…Majid Rajabi, Hossein Khodavirdi·Jul 12, 2021SaveLearn
The theorem on the magnetic field of rotating charged bodiesThe method of retarded potentials is used to derive the Biot-Savart law, taking into account the correction that describes the chaotic motion of charged particles in rectilinear currents. Then this…Sergey G. Fedosin·Jul 11, 2021SaveLearn
Connection between antennas, beam steering, and the moiré effectThe moiré effect provides an interpretation for the steering of antennas that form beams through internal spatial interferences. We make an explicit connection between such antennas and the moiré…B. H. McGuyer, Qi Tang·Jul 9, 2021SaveLearn
Potential Applications of Electrodynamic TethersIn recent decades, alternative propulsion systems have been investigated and have attracted great interest in the space community. Most of these alternative propulsion systems need propellants. One…Sai Charan Petchetti·Jul 8, 2021SaveLearn
The geometry of Rayleigh dissipationGeometric mechanics is a branch of mathematical physics that studies classical mechanics of particles and fields from the point of view of geometry. In a geometric language, symmetries can be…Asier López-Gordón·Jul 8, 2021SaveLearn
Surface waves everywhereBy "surface waves" one means a special kind of waves that propagate at the interface between two different media. There exists a large variety of such waves, which are interesting on their…M. I. Dyakonov·Jul 6, 2021SaveLearn
Demystifying the Lagrangians of special relativitySpecial relativity beyond its basic treatment can be inaccessible, in particular because introductory physics courses typically view special relativity as decontextualized from the rest of physics.…Gerd Wagner, Matthew W. Guthrie·Jul 4, 2021SaveLearn
Anharmonic oscillator: A playground to get insight into renormalizationIn the presence of interactions the frequency of a simple harmonic oscillator deviates from the noninteracting one. Various methods can be used to compute the changes to the frequency perturbatively.…Saman Moghimi-Araghi, Farhang Loran·Jul 4, 2021SaveLearn
Sparsity of radiating characteristic modes on infinite periodic structuresCharacteristic modes on infinite periodic structures are studied using spectral dyadic Green's functions. This formulation demonstrates that, in contrast to the modal analysis of finite…Kurt Schab·Jul 2, 2021SaveLearn
First-order phase transformation at constant volume: a continuous transition?We describe a first-order phase transition of a simple system in a process where the volume is kept constant. We show that, unlike what happens when the pressure is constant, (i) the transformation…V. F. Correa, F. J. Castro·Jul 2, 2021SaveLearn
Radiation reaction and the acceleration-dependent mass increase of a charged sphere undergoing uniform accelerationPhoton emission from a uniformly accelerated charge is among the most mysterious physical phenomena. Theories based on the Lorentz-Abraham-Dirac equation mostly conclude that a uniformly accelerated…Teyoun Kang, Adam Noble, Samuel R. Yoffe et al.·Jun 30, 2021SaveLearn
State-to-State Cosmology: a new view on the cosmological arrow of time and the past hypothesisCosmological boundary conditions for particles and fields are often discussed as a Cauchy problem, in which configurations and conjugate momenta are specified on an "initial" time slice. But…J. M. Deutsch, Anthony Aguirre·Jun 29, 2021SaveLearn
Metasurface Near-field Measurements with Incident Field Reconstruction using a Single Horn AntennaA simple method of superimposing multiple near field scans using a single horn antenna in different configurations to characterize a planar electromagnetic metasurface is proposed and numerically…Ville Tiukuvaara, Kan Wang, Tom J. Smy et al.·Jun 27, 2021SaveLearn
Memory Effects in Scattering from Accelerating BodiesInteraction of electromagnetic, acoustic and even gravitational waves with accelerating bodies forms a class of nonstationary time-variant processes. Scattered waves contain intrinsic signatures of…V. Kozlov, S. Kosulnikov, D. Vovchuk et al.·Jun 27, 2021SaveLearn
Optimizing regenerative braking -- a variational calculus approachWe examine some basic physics surrounding regenerative braking and air drag. First, we analyze under what conditions it becomes energetically favorable to use aggressive regenerative braking to reach…L. Q. English, A. Mareno, Xuan-Lin Chen·Jun 25, 2021SaveLearn
Flutter instability and Ziegler destabilization paradox for elastic rods subject to non-holonomic constraintsTwo types of non-holonomic constraints (imposing a prescription on velocity) are analyzed, connected to an end of a (visco)elastic rod, straight in its undeformed configuration. The equations…Alessandro Cazzolli, Francesco Dal Corso, Davide Bigoni·Jun 22, 2021SaveLearn
Transverse Kerker effect of localized electromagnetic sourcesTransverse Kerker effect is known by the directional scattering of an electromagnetic plane wave perpendicular to the propagation direction with nearly suppression of both forward and backward…Feifei Qin, Zhanyuan Zhang, Kanpei Zheng et al.·Jun 22, 2021SaveLearn
The geometric phase and the dry friction of sleeping tops on inclined planesWe report on the motion of a spinning sleeping top on an inclined plane. Below a critical inclination angle the sleeping tops are force free. The trajectory of a sleeping top on weakly inclined…Sven Barthmann, Thomas M. Fischer·Jun 22, 2021SaveLearn
Design of a fretboard using the stiff string equationGuitar fretboards are designed based on the equation of the ideal string. That is, it neglects several factors as nonlinearities and bending stiffness of the strings. Due to this fact, intonation of…Nicolás Guarín-Zapata·Jun 21, 2021SaveLearn
Sloshing in coffee as a pumped pendulumWe present a study of the dynamics of a cup of coffee while walking with it in terms of a lumped model. The model considered is a planar (nonlinear) pendulum with parametric and direct excitation.…Nicolás Guarín-Zapata·Jun 21, 2021SaveLearn
Self-stabilization of light sails by damped internal degrees of freedomWe consider the motion of a light sail that is accelerated by a powerful laser beam. We derive the equations of motion for two proof-of-concept sail designs with damped internal degrees of freedom.…M. Z. Rafat, Holger R. Dullin, Boris T. Kuhlmey et al.·Jun 21, 2021SaveLearn