Light scattering at a temporal boundary in a Lorentz medium
М. И. Бакунов, А. В. Широкова, M. A. Kurnikov, A. V. Maslov
Abstract
Temporal discontinuity in the permittivity of a nondispersive dielectric (temporal boundary) is a conventional model for considering electromagnetic phenomena in dynamic materials and metamaterials. Here we apply a more general model of a Lorentz medium with the rapidly changing density of its structural elements (oscillators) or their resonant frequency to determine the realms of applicability of the conventional temporal boundary model. We demonstrate the dependence of the continuity conditions and the energy relations at a temporal boundary on the nonstationarity mechanism and the ratio between the rate of nonstationarity and the characteristic frequencies in the system.
Topics & Concepts
Discontinuity (linguistics)PhysicsPermittivityBoundary (topology)MetamaterialHyperboloid modelOpticsLorentz transformationBoundary value problemScatteringComputational physicsDielectric permittivityForward scatterDielectricClassical mechanicsStatistical physicsMathematical analysisQuantum mechanicsMathematicsMinkowski spaceMagneto-Optical Properties and ApplicationsPhotorefractive and Nonlinear OpticsPhotonic Crystals and Applications