A Novel Asymptotic Solution to the Sommerfeld Radiation Problem: Analytic field expressions and the emergence of the Surface WavesThe well-known "Sommerfeld radiation problem" of a small -Hertzian- vertical dipole above flat lossy ground is reconsidered. The problem is examined in the spectral domain, through which it…Seil Sautbekov, Sotiris Bourgiotis, Ariadni Chrysostomou et al.·Oct 6, 2017SaveLearn
Periodic three-body orbits with vanishing angular momentum in the Jacobi-Poincare "strong" potentialMoore and Montgomery have argued that planar periodic orbits of three bodies moving in the Jacobi-Poincare, or the "strong" pairwise potential Σi>j-1rij2, can have all…V Dmitrašinović, Luka V Petrović, Milovan Šuvakov·Oct 3, 2017SaveLearn
High-quality trapped modes in all-dielectric metamaterialsA planar all-dielectric metamaterial made of a double-periodic lattice whose unit cell consists of a single subwavelength dielectric particle having the form of a disk possessing a penetrating hole…Vladimir R. Tuz, Vyacheslav V. Khardikov, Anton S. Kupriianov et al.·Oct 2, 2017SaveLearn
Elastic metamaterial with simultaneously negative Mass Density, Bulk Modulus and Shear ModulusWe present a study of elastic metamaterial that possesses multiple local resonances. We demonstrated that the elastic metamaterial can have simultaneously three negative effective parameters, i.e.,…Ji-En Wu, Xiaoyun Wang, Bing Tang et al.·Oct 1, 2017SaveLearn
Interface conditions for a metamaterial with strong spatial dispersionLocal constitutive relations, i.e. a weak spatial dispersion, are usually considered in the effective description of metamaterials. However, they are often insufficient and effects due to a…Andrii Khrabustovskyi, Karim Mnasri, Michael Plum et al.·Sep 29, 2017SaveLearn
Notes on rate equations in nonlinear continuum mechanicsThe paper gives an introduction to rate equations in nonlinear continuum mechanics which should obey specific transformation rules. Emphasis is placed on the geometrical nature of the operations…Daniel Aubram·Sep 28, 2017SaveLearn
Relativity and Accelerator EngineeringFrom a geometrical viewpoint, according to the theory of relativity, space and time constitute a four-dimensional continuum with pseudo-Euclidean structure. This has recently begun to be a…Gianluca Geloni, Vitali Kocharyan, Evgeni Saldin·Sep 27, 2017SaveLearn
Study of the non-linear eddy-current response in a ferromagnetic plate: theoretical analysis for the 2D caseThe non-linear induction problem in an infinite ferromagnetic pate is studied theoretically by means of the truncated region eigenfunction expansion (TREE) for the 2D case. The non-linear formulation…Anastassios Skarlatos, Theodoros Theodoulidis·Sep 25, 2017SaveLearn
Exceptional points in two simple textbook examplesWe propose to introduce the concept of exceptional points in intermediate courses on mathematics and classical mechanics by means of simple textbook examples. The first one is an ordinary…Francisco M. Fernández·Sep 24, 2017SaveLearn
A New Approach to Frequency Independent Radiating Systems: Conformal Edge AntennasConformal techniques, based on the covariance of Maxwell's electrodynamics under the full conformal group in four spacetime dimensions, are discussed in relation with the constant input impedance…Franco Fiorini, Leonardo Morbidel, Pablo A. Costanzo Caso·Sep 22, 2017SaveLearn
Force, Torque, Linear Momentum, and Angular Momentum in Classical ElectrodynamicsThe classical theory of electrodynamics is built upon Maxwell's equations and the concepts of electromagnetic (EM) field, force, energy, and momentum, which are intimately tied together by…Masud Mansuripur·Sep 21, 2017SaveLearn
Irreversibility of mechanical and hydrodynamic instabilitiesThe literature on dynamical systems has, for the most part, considered self-oscillators (i.e., systems capable of generating and maintaining a periodic motion at the expense of an external energy…Carlos D. Díaz-Marín, Alejandro Jenkins·Sep 21, 2017SaveLearn
Time-Response Functions of Mechanical Networks with Inerters and CausalityThis paper derives the causal time-response functions of three-parameter mechanical networks that have been reported in the literature and involve the inerter-a two-node element in which the…Nicos Makris·Sep 19, 2017SaveLearn
Stability of traveling, pre-tensioned, heavy cablesWe study the dynamics of an inclined tensioned, heavy cable traveling with a constant speed in the vertical plane. The cable is modeled as a beam resisting bending and shear. The governing equation…Abhinav R. Dehadrai, Ishan Sharma, Shakti S. Gupta·Sep 18, 2017SaveLearn
Continuum Mechanics and Thermodynamics in the Hamilton and the Godunov-type FormulationsContinuum mechanics with dislocations, with the Cattaneo type heat conduction, with mass transfer, and with electromagnetic fields is put into the Hamiltonian form and into the form of the Godunov…Ilya Peshkov, Michal Pavelka, Evgeniy Romenski et al.·Sep 17, 2017SaveLearn
Alternative formulation of the macroscopic field equations in a linear magneto-dielectric medium: Field equationsWe derive an alternative formulation of the field equations for macroscopic electromagnetic fields in a linear magneto-dielectric medium as an identity of the Maxwell--Minkowski equations,…Michael E. Crenshaw·Sep 13, 2017SaveLearn
Inherent Negative Refraction on Acoustic Branch of Two Dimensional Phononic CrystalsGuided by theoretical predictions, we have demonstrated experimentally the existence of negative refraction on the lowest two (acoustic) passbands (shear and longitudinal modes) of a simple two…Sia Nemat-Nasser·Sep 12, 2017SaveLearn
Alternative formulation of the macroscopic field equations in a linear magneto-dielectric medium: Lagrangian field theory and spacetime settingA transparent linear magneto-dielectric material in free space that is illuminated by a finite quasimonochromatic field is a thermodynamically closed system, definitively, regardless of what field…Michael E. Crenshaw·Sep 11, 2017SaveLearn
Contact Temperature as an Internal Variable of Discrete Systems in Non-EquilibriumState space and entropy rate of a discrete non-equilibrium system are shortly considered including internal variables and the contact temperature. The concept of internal variables in the context of…Wolfgang Muschik·Sep 10, 2017SaveLearn
Longitudinal elastic wave control by pre-deforming semi-linear materialsAn incremental wave superimposed on a pre-deformed hyper-elastic material perceives an elastic media with the instantaneous modulus of the current material. This offers a new route with a broadband…Dengke Guo, Yi Chen, Zheng Chang et al.·Sep 9, 2017SaveLearn
Nature of the electromagnetic force between classical magnetic dipolesThe Lorentz force law of classical electrodynamics states that the force F exerted by the magnetic induction B on a particle of charge q moving with velocity V is given by F=qVxB. Since this force is…Masud Mansuripur·Sep 9, 2017SaveLearn
Dielectric media considered as vacuum with sourcesConventional textbook treatments on electromagnetic wave propagation consider the induced charge and current densities as "bound", and therefore absorb them into a refractive index. In…Hans Olaf Hågenvik, Kjell Bløtekjær, Johannes Skaar·Sep 7, 2017SaveLearn
Generation of High-Purity Millimeter-Wave Orbital Angular Momentum Modes Using Horn Antenna: Theory and ImplementationTwisted electromagnetic waves, of which the helical phase front is called orbital angular momentum (OAM), have been recently explored for quantum information, high speed communication and radar…Jian Ren, Kwok Wa Leung·Sep 7, 2017SaveLearn
A lattice Maxwell system with discrete space-time symmetry and local energy-momentum conservationA lattice Maxwell system is developed with gauge-symmetry, symplectic structure and discrete space-time symmetry. Noether's theorem for Lie group symmetries is generalized to discrete symmetries…Jianyuan Xiao, Hong Qin, Yuan Shi et al.·Sep 5, 2017SaveLearn
Discrete dynamical stabilization of a naturally diverging mass in a harmonically time-varying potentialWe numerically investigate the stability and linear oscillatory behavior of a naturally diverging mass whose potential energy is harmonically modulated. It is known that in the Kapitza limit, i.e.…Arnaud Lazarus·Sep 4, 2017SaveLearn