Channeling, localization and the density matrix in inelastic electron scattering

Energy-filtered electron-diffracted beam holography

“…It is not yet clear whether they represent the true spatial coherence width of the bulk plasmon or whether they are a measurement of the Coulomb interaction length between the bulk plasmon and the fast electron. The method of EfEDBH follows quite closely in design to the experiments and simulations performed by Schattschneider and Jouffrey [14,15], implying that EfEDBH is measuring the spatial coherence width of the bulk plasmon. To help clarify these experiments, EfEDBH is now being studied theoretically with respect to the properties of the bulk plasmon [16,17].…”

Limits to the spatial, energy and momentum resolution of electron energy-loss spectroscopy

“…In addition, the spatial distribution of inelastic scattering has been discussed in terms of electron-scattering theory in several important publications [12][13][14][15][16][17][18][19][20][21][22] and reviews [6,23]. Here our aim is to provide an approximate value of the localization distance and its dependence on experimental variables, as well as some insight into the cause of delocalization.…”

“…We therefore adopt a single-scattering model, assuming that the sample is thin enough to make plural inelastic scattering unimportant and that the effect of elastic scattering can be dealt with separately as beam broadening (as just discussed). In the case of crystalline specimens and core-loss spectroscopy, these assumptions become questionable and a proper treatment requires a simultaneous treatment of elastic and inelastic scattering, using (for example) a combination of multislice and single-inelastic scattering theory [21,22,24] or Bloch-wave methods [18][19][20].…”

Plasmon holographic experiments: theoretical framework

“…[6]) which describes the propagation of quasi monochromatic partially coherent waves through an optical system. The inelastic interaction with the object is taken into account using the mixed dynamic form factor [7] which received quite some attention recently [8][9][10][11][12].…”