Abstract: A beam transformation element (1) for transforming electromagnetic radiation, in particular laser radiation, comprising an irradiation surface (2) and an emission surface (8). The irradiation surface (2) comprises at least four cylindrical segments (3), wherein each cylindrical segment (3) has at least two adjacent segments. A cylinder longitudinal axis (4) of a first cylindrical segment (3) is not parallel to each cylinder longitudinal axis (4) of an adjacent cylindrical segment (3).

Abstract: In a method for producing optical elements, material on a blank (20) is removed with an abrasive liquid jet (32). The liquid jet (32) has a jet thickness (d) which is greater than the dimension (D) of the blank (20) in a plane (E) perpendicular to the direction (R) of the liquid jet. Predefined removal profiles in aspherical form can be achieved by the liquid jet (32) being guided onto the blank (20) at different angles of incidence (?).

Abstract: The invention relates to an apparatus for removing material from a surface of a workpiece during grinding and/or polishing of the surface by means of abrasive particles which are delivered by a liquid. The apparatus comprises a device for setting the gas content in the liquid, in particular for adding gas, in particular air, to the liquid.

Abstract: In a method for producing optical elements, material on a blank (20) is removed with an abrasive liquid jet (32). The liquid jet (32) has a jet thickness (d) which is greater than the dimension (D) of the blank (20) in a plane (E) perpendicular to the direction (R) of the liquid jet. Predefined removal profiles in aspherical form can be achieved by the liquid jet (32) being guided onto the blank (20) at different angles of incidence (?).

Abstract: The invention relates to an apparatus for removing material from a surface of a workpiece during grinding and/or polishing of the surface by means of abrasive particles which are delivered by a liquid. The apparatus comprises a device for setting the gas content in the liquid, in particular for adding gas, in particular air, to the liquid.

Abstract: In the process and by means of the apparatus, several radiation sources (1) arranged in a row, whose emitted radiation intensity distribution is not rotationally symmetrical, are imaged by means of a first, noncentrically imaging functional element (5), then each beam bundle (9) is rotated by means of a beam-rotating element (7), and the beam components of the rotated beam bundles (9) not imaged by the first functional element (5) are imaged by means of a second, noncentrically imaging functional element (11). The functional elements (5, 11) and their locations are chosen so that parallel beam bundles (9) are produced which are focused with a spherical lens (15) into a spatial zone (3). The apparatus according to this invention provides in a simple way a good focusing ability for several individual beams.