Relativistic electron energy loss and induced radiation emission in two-dimensional metallic photonic crystals. II. Photonic band effects

This paper presents a fully relativistic analysis of the electron energy loss and the induced radiation emission in a metallic photonic crystal. The crystal's lattice constant is comparable with the plasma wavelength, and the analysis is presented in terms of the multiple scattering method based on vector cylindrical waves. The electron energy loss and the Smith-Purcell radiation emission spectra are well correlated with the photonic band structures, both with and without a structural defect. In particular, surface-localized modes and wave guide modes localized in a linear defect can be identified in the spectra. In addition, we show that highly directive radiation emission is possible by using a waveguide mode at the Gamma point.