Experimental results of electron interference and Fresnel diffraction observed on a transmission electron microscope using an electrostatic biprism as beam-splliter are reported.
Experiments on matter wave interference involving up to four beams have been realized using a holographic electron microscope equipped with two electrostatic biprisms. The experimental results obtained for parallel biprisms are presented and discussed. Zusammenfassung. Mit einem holographischen Electronenmikroskop, das mit zwei elektronischen Biprismen ausgestattet ist, wurden Electroneninterferenzexperimente mit bis zu vier beteiligten Strahlen durchgefuhrt. Die experimentellen Resultate fur parallele Biprismen werden dargestellt und diskutiert.
The wave function describing the electron interference produced by an electrostatic biprism derived from the perturbation theory involves an integral which is not easy to evaluate numerically. Using the method of stationary phase it is shown in the paper that the expression of this integral in terms of the Fresnel integrals considerably facilitates the calculations. Physically this expression corresponds to the superposition of two waves emerging from two virtual images of the source diffracted by two opaque half-planes of opposite orientation. In such a way the model widely used for discussions of the interference of this type is justified.