A family of microscopes include an illumination device which produces a planar light sheet along an illumination axis of an illumination beam path and a transverse axis normal to the illumination axis. A detection device detects light emitted from the sample region along an axis of detection of a detection beam path. The illumination and detection axes as well as the transverse axis and the axis of detection being oriented relative each other at an angle unequal to zero. A light sheet generator also produces rotationally symmetrical light and includes structure and control for rapidly scanning the sample region along the transverse axis. The illumination device includes a second light sheet generator having a first astigmatically active optical element with at least one astigmatic lens for producing a static sheet of light. Selection elements used to select either the first or the second light sheet or both together to produce the sheet of light.
