Functional Approach to Electrodynamics of Media
arXiv:1401.6800 · doi:10.1016/j.photonics.2015.02.001
Abstract
In this article, we put forward a new approach to electrodynamics of materials. Based on the identification of induced electromagnetic fields as the microscopic counterparts of polarization and magnetization, we systematically employ the mutual functional dependencies of induced, external and total field quantities. This allows for a unified, relativistic description of the electromagnetic response without assuming the material to be composed of electric or magnetic dipoles. Using this approach, we derive universal (material-independent) relations between electromagnetic response functions such as the dielectric tensor, the magnetic susceptibility and the microscopic conductivity tensor. Our formulae can be reduced to well-known identities in special cases, but more generally include the effects of inhomogeneity, anisotropy, magnetoelectric coupling and relativistic retardation. If combined with the Kubo formalism, they would also lend themselves to the ab initio calculation of all linear electromagnetic response functions.
consistent with published version in Phot. Nano. Fund. Appl. (2015)
References in corpus (13)
- Quantum ESPRESSO: a modular and open-source software project for quantum simulations of materials
- Topological Field Theory of Time-Reversal Invariant Insulators
- Dielectric function, screening, and plasmons in 2D graphene
- General Relativity in Electrical Engineering
- Surface quantized anomalous Hall current and magneto-electric effect in magnetically disordered topological insulators
- Ordering of magnetic impurities and tunable electronic properties of topological insulators
- Spin model of magnetostrictions in multiferroic Mn perovskites
- Relativistic covariance of Ohm's law
- Maxwell's equations in Minkowski's world: their premetric generalization and the electromagnetic energy-momentum tensor
- Magnetoelectric effects in superconducting nanowires with Rashba spin-orbit coupling
- The magnetic field generated by a charge in a uniaxial magnetoelectric material
- Functional Approach to Electrodynamics of Media
- On electromagnetics of an isotropic chiral medium moving at constant velocity
Cited by in corpus (15)
- Frequency-independent terahertz anomalous Hall effect in DyCo, CoFe and GdFe thin films from DC to 40 THz
- Relativistic covariance of Ohm's law
- Microscopic Theory of the Refractive Index
- Ab initio electronic structure and optical conductivity of bismuth tellurohalides
- Functional Approach to Electrodynamics of Media
- Why history matters: ab initio rederivation of Fresnel equations confirms microscopic theory of refractive index
- Covariant Response Theory and the Boost Transform of the Dielectric Tensor
- Ab initio materials physics and microscopic electrodynamics of media
- Response Theory of the Electron-Phonon Coupling
- The normal Casimir force for lateral moving planes with isotropic conductivities
- Hedin equations in resonant micro-cavities
- Linear electromagnetic wave equations in materials
- General form of the full electromagnetic Green function in materials physics
- Wavevector-dependent optical properties from wavevector-independent proper conductivity tensor
- Microscopic theory of refractive index applied to metamaterials: Effective current response tensor corresponding to standard relation