Unified Scheme of Dispersion Equation for Polariton, X-Ray Dynamical Scattering and Photonic Bands

Abstract

The general eigen-mode equation of microscopic nonlocal response theory has been applied to infinite 3-dimensional (3D) crystals. This leads to a simple and general dispersion equation containing several known results as limiting cases. This result unifies various situations, such as the polaritons with Bragg scattering, the X-ray dynamical scattering with resonance, and photonic bands, in a single transparent formalism.