Transfer matrices combined with Green's functions for the multiple-scattering simulation of electronic projection imaging

Electronic projection imaging is described in the framework of a multiple-scattering theory, by using a combination of transfer-matrix and Green's-function formalisms. The transfer-matrix methodology is used to compute the wave propagation within the tip and object scattering region, while the Green's-function formalism is used to describe the electron projection from the scatterers towards a distant imaging screen. This full-order theory is needed to overcome the limits of the first Born approximation and deal with three-dimensional effects. In particular, this approach is able to account for sucking-in and standing-wave effects taking place close to or inside the object. The simulation of the electronic diffraction by a model nanoscopic carbon rod, eventually containing inhomogeneities, is considered in detail.