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A fully relativistic description of the electron energy loss and the inducedradiation emission in arbitrary arrays of non-overlapping metallic cylinders ispresented in terms of the multiple scattering method on the basis of vectorcylindrical waves. Numerical analysis is given for dilute and dense arrays ofAluminum cylinders with a nanoscale diameter. The results of the electronenergy loss spectrum are well correlated with the dispersion relation ofcoupled surface plasmon polaritons, and can be interpreted with an effectivemedium approximation when the electron runs inside the arrays. In addition, thecavity modes localized in the grooves between the cylinders can affect stronglythe electron energy loss spectrum.Comment: 13 pages, 13 figure

physical review. b, condensed matter and materials physics

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