Abstract: A component, for example an optical element or a structural component, comprises: a main body comprising a hollow structure through which a fluid can flow and which has a plurality of cooling channels; a fluid distributor; and a fluid collector. In order to supply the fluid to the cooling channels, the fluid distributor can comprise connection channels that open into a common inlet channel connected to an inlet opening. In order to discharge the fluid from the cooling channels, the fluid collector can comprise connection channels that open into a common outlet channel connected to an outlet opening. The inlet channel can have a flow cross section that decreases starting from a connection channel adjacent to the inlet opening. The outlet channel can have a flow cross section that decreases starting from a connection channel adjacent to the outlet opening.

Abstract: A hollow structure (28) is produced in a workpiece (25) to form a substrate for a mirror through material-removing processing with pulsed laser radiation (35). The pulsed laser radiation is focused into a focal region (39), forming a removal front (46) for the areal removal of material of the workpiece (25) by moving the focal region (39) along a movement pattern (41), and producing the hollow structure (28) by moving the removal front (46) within the workpiece (25). The removal front is not aligned perpendicular to an incoming radiation direction (Z) of the pulsed laser radiation (35) at the radiation entrance side (27) of the workpiece at least intermittently during the production. The hollow structure is produced in the form of a channel through which a fluid is able to flow.