Absorption in dipole-lattice models of dielectrics

Abstract

We develop a classical microscopic model of a dielectric. The model features nonlinear interaction terms between polarizable dipoles and lattice vibrations. The lattice vibrations are found to act as a pseudo-reservoir, giving broadband absorption of electromagnetic radiation without the addition of damping terms in the dynamics. The effective permittivity is calculated using a perturbative iteration method and is found to have the form associated with real dielectrics. Spatial dispersion is naturally included in the model and we also calculate the wavevector dependence of the permittivity.

Electromagnetic reflection, transmission, and energy density at boundaries of nonlocal media

“…A more complete model would dispense with χ 0 and include additional resonance terms. A justification of (1) based on properties of semi-conductors was given by Hopfield and Thomas 17 but it can also be derived from a simple classical model 18 . In the local case σ = 0 the usual Maxwell boundary conditions, namely the continuity of the tangential components of E and H and the normal components of D and B, are sufficient to calculate the reflection coefficient at a sharp boundary.…”

Reflection and transmission in nonlocal susceptibility models with multiple resonances

“…Nonlocal response is included as a k dependence in the model parameters, but is usually limited to a k-dependent resonant frequency. Hopfield and Thomas 17 proposed the following model, based on the properties of semiconductors, but it can also be derived from a simple classical model 18 :…”