Photoelectron holographic derivative transform for increased range of atomic images

A transform-k derivative spectra (KDS) transform - is introduced for construction of an atomic-structure image from photoelectron diffraction data. A phenomenological theory is used to show that the transform of spectrum derivatives enhances the image peaks by the square of the emitter-scatter distance when used in conjunction with the small cone method. In comparison with the standard transform used in photoelectron holography, the KDS transform allows more distant neighbors (scatterers) to be 'seen' by the emitter and suppresses strong forward scattering. The ability to experimentally observe more neighbors of a photoelectron emitter expands the applicability of holographic imaging. The procedure is applied to experimental data obtained from the As/Si(111)-(1x1) and C2H4/Si(100)-(2x1) surface structures. The letter results show that C2H4 adsorption does not break the Si dimer bond