Fjg. Deabajo et J. Aizpurua, NUMERICAL-SIMULATION OF ELECTRON-ENERGY-LOSS NEAR INHOMOGENEOUS DIELECTRICS, Physical review. B, Condensed matter, 56(24), 1997, pp. 15873-15884
The nonrelativistic energy loss suffered by fast electrons passing nea
r dielectric interfaces of arbitrary shape is calculated by solving Po
isson's equation using the boundary-charge method. The potential induc
ed by a moving electron is expressed in terms of surface-charge distri
butions placed at the interfaces. These surface charges, obtained by s
elf-consistently solving the resulting integral equation, act back on
the electron producing a retarding force and hence energy loss. The di
electrics are described by frequency-dependent dielectric functions. T
wo particular cases are discussed in further detail: interfaces invari
ant under translation along one particular direction and axially symme
tric interfaces. Previous results for simple geometries, such as plane
s, spheres, and cylinders, based upon analytical solutions, are fully
reproduced within this approach. Calculations are presented for electr
ons moving near wedges, coupled parallel cylinders, coupled spheres, a
nd toroidal surfaces. [S0163-1829(97)00848-5].