Ophthalmic laser system for photo-disruptive irradiation of a cornea, comprising an ultrashort-pulse laser, the radiation of which is focusable in an examination region as illumination light via an illumination beam path, which includes a scanner unit and focusing optics, and comprising a control unit, by means of which the following steps are executable: - establishing irradiation control data for photo-disruptions at a plurality of irradiation points in the interior of the cornea on the basis of at least one predetermined intended cut in such a way that the irradiation points are distributed in three dimensions and not arranged equidistantly, and - irradiating the cornea in accordance with the established irradiation control data, characterized in that: by means of the control unit for establishing the irradiation control data, the following steps are executable: a) establishing preliminary irradiation control data in accordance with the at least one intended cut, b) predicting a resulting interference pattern from the preliminary irradiation control data in the case of passing-through light, c) establishing an intensity of first or higher order diffraction light of the predicted interference pattern, d) comparing the established intensity with a predetermined intensity threshold and e) repeating steps a) to d) if the established intensity is greater than the intensity threshold, wherein the preliminary irradiation control data are modified, or other preliminary irradiation control data are established, in step a). - establishing irradiation control data for photo-disruptions at a plurality of irradiation points in the interior of the cornea on the basis of at least one predetermined intended cut in such a way that the irradiation points are distributed in three dimensions and not arranged equidistantly, and - irradiating the cornea in accordance with the established irradiation control data, characterized in that: by means of the control unit for establishing the irradiation control data, the following steps are executable: a) establishing preliminary irradiation control data in accordance with the at least one intended cut, b) predicting a resulting interference pattern from the preliminary irradiation control data in the case of passing-through light, c) establishing an intensity of first or higher order diffraction light of the predicted interference pattern, d) comparing the established intensity with a predetermined intensity threshold and e) repeating steps a) to d) if the established intensity is greater than the intensity threshold, wherein the preliminary irradiation control data are modified, or other preliminary irradiation control data are established, in step a). by means of the control unit for establishing the irradiation control data, the following steps are executable: a) establishing preliminary irradiation control data in accordance with the at least one intended cut, b) predicting a resulting interference pattern from the preliminary irradiation control data in the case of passing-through light, c) establishing an intensity of first or higher order diffraction light of the predicted interference pattern, d) comparing the established intensity with a predetermined intensity threshold and e) repeating steps a) to d) if the established intensity is greater than the intensity threshold, wherein the preliminary irradiation control data are modified, or other preliminary irradiation control data are established, in step a). a) establishing preliminary irradiation control data in accordance with the at least one intended cut, b) predicting a resulting interference pattern from the preliminary irradiation control data in the case of passing-through light, c) establishing an intensity of first or higher order diffraction light of the predicted interference pattern, d) comparing the established intensity with a predetermined intensity threshold and e) repeating steps a) to d) if the established intensity is greater than the intensity threshold, wherein the preliminary irradiation control data are modified, or other preliminary irradiation control data are established, in step a).