Abstract: A device for joining and tapering optical components such as fibers includes a retaining device for holding optical components in a processing site, a laser radiation source for emitting a laser beam and beam forming elements for guiding the laser beam to the processing site. At least a first beam forming element is inserted into the beam path of the laser radiation source for producing a radiation having the form of an annulus and a second beam forming element is provided for specifying the angle of incidence of the radiation having the form of an annulus onto the optical components at the processing site.

Abstract: The invention relates to a method for a pattern representation of inhomogeneous crossing grids of warp and weft yarns, in which a) an inhomogeneous real crossing grid is predetermined based on the real warp yarn density and the real weft yarn density, b) a homogenous virtual point grid with considerably increased resolution is overlaid onto the inhomogeneous real crossing grid, c) a pattern is represented in the homogenous virtual point grid, and d) those points of the virtual homogenous point grid are determined which coincide with crossing points of the real inhomogeneous crossing grid of the pattern.