Fraunhofer Diffraction at Apertures in the Form of Regular Polygons. I.

In this first contribution the symmetry properties of the Fraunhofer diffraction phenomena at the apertures possessing a symmetry are discussed. These properties are used for the derivation of the wave function describing Fraunhofer diffraction at apertures of the form of regular polygons. Besides the general formula expressions are derived giving the wave function in the directions where the diffraction patterns show some particular properties.