A system for therapy of the eye by treating tissue with therapeutic radiation using nonlinear interaction. A laser device is provided, which delivers the therapeutic radiation. The therapeutic radiation is focussed by a focussing device in an image field, and xy scanners and z scanners shift the focus laterally and longitudinally within a treatment volume. The therapeutic radiation is either a second short pulse radiation or a first short pulse radiation, each of which have a spectral centroid within a wavelength range defined by the short pulse properties. The system is particularly corrected with regard to longitudinal chromatic aberrations and lateral chromatic aberrations such that the spectral characteristic curves of the two aberrations each have a local extreme within the wavelength ranges, and a certain tolerance within the wavelength ranges is not exceeded, therefore the characteristic curves are very shallow.
