Method of producing a scattering optics with a scattering structure for lamps, comprising the steps of: • providing an optical element, • processing the optical element to form the scattering structure by laser in at least two processing steps, wherein a pico laser or femtosecond laser is used as the laser, wherein o in the first processing step, the laser traverses the optical element along a first travel direction relative to the optical element, said travel direction being at a defined angle α to the polarization direction (P, P1) of the laser, and o in the second processing step, the laser traverses the optical element along a second travel direction relative to the optical element, said travel direction being at a defined angle β to the polarization direction (P, P2) of the laser and at an angle γ > 0° relative to the first travel direction with respect to the optical element, and wherein the travel directions (V1, V2) intersect, wherein the laser-induced periodic surface structures (LIPSS) of the different processing steps intersect one another as nanostructures, wherein the two processing steps form rib-like or dome-like scattering structures on the surface of the scattering optics, and wherein the intersecting traverse of the laser generates the scattering structure with a superimposed micro- and nanostructure. • providing an optical element, • processing the optical element to form the scattering structure by laser in at least two processing steps, wherein a pico laser or femtosecond laser is used as the laser, wherein o in the first processing step, the laser traverses the optical element along a first travel direction relative to the optical element, said travel direction being at a defined angle α to the polarization direction (P, P1) of the laser, and o in the second processing step, the laser traverses the optical element along a second travel direction relative to the optical element, said travel direction being at a defined angle β to the polarization direction (P, P2) of the laser and at an angle γ > 0° relative to the first travel direction with respect to the optical element, and wherein the travel directions (V1, V2) intersect, wherein the laser-induced periodic surface structures (LIPSS) of the different processing steps intersect one another as nanostructures, wherein the two processing steps form rib-like or dome-like scattering structures on the surface of the scattering optics, and wherein the intersecting traverse of the laser generates the scattering structure with a superimposed micro- and nanostructure. o in the first processing step, the laser traverses the optical element along a first travel direction relative to the optical element, said travel direction being at a defined angle α to the polarization direction (P, P1) of the laser, and o in the second processing step, the laser traverses the optical element along a second travel direction relative to the optical element, said travel direction being at a defined angle β to the polarization direction (P, P2) of the laser and at an angle γ > 0° relative to the first travel direction with respect to the optical element, and wherein the travel directions (V1, V2) intersect, wherein the laser-induced periodic surface structures (LIPSS) of the different processing steps intersect one another as nanostructures, wherein the two processing steps form rib-like or dome-like scattering structures on the surface of the scattering optics, and wherein the intersecting traverse of the laser generates the scattering structure with a superimposed micro- and nanostructure.