A multislice theory of electron scattering in crystals including backscattering and inelastic effects

Rytov approximation in electron scattering

“…There is no measurable influence of the electron spin so the electrons can be described as scalar particles that follow the KleinGordon equation (e.g., [20], [21]). The interaction with electromagnetic potentials is introduced via minimal coupling and the magnetic interaction can be neglected in high-resolution studies.…”

“…If we restrict ourselves to forward scattering this is an initial value problem with the evolution parameter z that has to be solved. The neglect of backwards scattering is motivated by the fact that usually only small scattering angles contribute in TEM imaging, which seems justified from practical experience but is also an ongoing field of research [21].…”

Inelastic Scattering in Electron Backscatter Diffraction and Electron Channeling Contrast Imaging

“…For the simulations on silicon in this work, it is found that o ( R ) does not have a significant effect on the results, although its effect may be more important for specimens of higher atomic number (Ming & Chen, 2013). If o ( R ) is neglected, the multislice simulations can be performed using Fast Fourier Transforms, which is computationally more efficient than real space calculation of the operator used previously (Cai & Chen, 2012; Spiegelberg & Rusz, 2015; Liu et al, 2016). Nevertheless, in this work, o ( R ) was included for completeness; it was expanded up to second order and evaluated in real space.…”

The Rytov Approximation in Electron Scattering

“…For the purposes of imaging measurements of electron scattering in transmission electron microscopy (TEM) the electrons can be assumed to be independent from each other, since the current of the beam is small to prevent the Boersch effect in the electron source. There is no measurable influence of the electron spin so the electrons can be described as scalar particles that follow the Klein-Gordon equation (e.g., [20], [21]). The interaction with electromagnetic potentials is introduced via minimal coupling and the magnetic interaction can be neglected in high-resolution studies.…”