A method for cooling an optical element for EUV applications is disclosed. Heat is transferred from the optical element to a heat sink, and, via a first feed line, a first cooling medium is introduced into a cooling channel in the heat sink, in such a way that the first cooling medium effects laminar flow through the cooling channel and in the process absorbs heat from the heat sink. After flowing through the cooling channel, the first cooling medium is discharged into a discharge line leading away from the optical element. A second cooling medium is introduced into the discharge line via a second feed line, and the first cooling medium and the second cooling medium, downstream of the second feed line at a location that is further away from the optical element than the cooling channel, are subjected to a force field introduced into the discharge line externally.