Method of surface structuring a substrate body and substrate body

A method for preparing and/or carrying out a structuring of a predetermined or predeterminable distinguished surface of a substrate body comprising a substrate material, the method comprising:

• exposing at least one curved effective area of the substrate material to an electromagnetic field which causes a non-linear interaction between the electromagnetic field and the substrate material in the at least one curved effective area, and thus at least partially influencing the substrate material arranged in the at least one curved effective area;
• and
• increasing or decreasing at least one property selected from the group consisting of:
• the refractive index, the etch rate, and the density of the substrate material, at least in certain areas,
• wherein, after the structuring, the distinguished surface comprises, at least in certain areas, at least one first curved progression which is at least partially determined and/or influenced by the curved shape of the at least one curved effective area,
• wherein the non-linear interaction causes at least one non-linear absorption of the electromagnetic field in the substrate material,
• wherein the electromagnetic field is provided (i) in the form of a curved line focus of a laser beam, (ii) by a curved line focus of a laser beam, or (iii) in such a way that the at least one curved effective area is determined by the shape of the line focus,
• wherein the at least one first curved progression extends from a first surface of the substrate body to a second surface opposite the first surface, and
• wherein the influenced effective area penetrates two surfaces opposite to each other to create a curved through hole.