Rotational tomographic reconstruction of multiple in-line holograms

Calculated electron in-line holograms, for the low-energy electron point source (LEEPS) microscope and based on scattering theory, give reconstructions that exhibit atomic resolution perpendicular to the optical axis. The depth resolution is not as sharp, and spurious peaks also result. We show that overall atomic resolution in the reconstruction of LEEPS in-line holograms can be obtained by using a tomographic approach. We examine a few reconstructions for holograms obtained by rotating the object about an axis passing through the object and parallel to the screen. We show that the rcconstructions obtained from a small number of such "rotational tomographic holograms" can be combined in a manner such that almost all spurious peaks are eliminated and almost all atomic peaks are retained. The experimental implications of our theoretical results are discussed.