Relativistic electron energy loss and induced radiation emission in two-dimensional metallic photonic crystals I: formalism and surface plasmon polariton

Abstract

A fully relativistic description of the electron energy loss and the induced radiation emission in arbitrary arrays of non-overlapping metallic cylinders is presented in terms of the multiple scattering method on the basis of vector cylindrical waves. Numerical analysis is given for dilute and dense arrays of Aluminum cylinders with a nanoscale diameter. The results of the electron energy loss spectrum are well correlated with the dispersion relation of coupled surface plasmon polaritons, and can be interpreted with an effective medium approximation when the electron runs inside the arrays. In addition, the cavity modes localized in the grooves between the cylinders can affect strongly the electron energy loss spectrum.

arXiv comment13 pages, 13 figures

References in corpus (3)

• Determination of Effective Permittivity and Permeability of Metamaterials from Reflection and Transmission Coefficients
• Electron energy loss and induced photon emission in photonic crystals
• Optical absorption and energy-loss spectra of aligned carbon nanotubes

Cited by in corpus (5)

• Optical excitations in electron microscopy
• Theory of Cherenkov radiation in periodic dielectric media: Emission spectrum
• Exotic radiation from a photonic crystal excited by an ultra-relativistic electron beam
• Far-field interaction of focused relativistic electron beams in electron energy loss spectroscopy of nanoscopic platelets
• Spatial distribution of Cherenkov radiation in periodic dielectric media