The invention relates to a system and to a corresponding method for optical coherence tomography having an interferometer (10) for emitting light with which a specimen (1) is irradiated, the interferometer (1) comprising a beam splitter (13) and at least one reflector (12) the optical distance (I) of which from the beam splitter (13) is changeable, a specimen objective by means of which light emitted by the interferometer (10) is focussed in a focus lying within the specimen (1), and a detector (30) for collecting light which is reflected by the specimen (1).For simpler and quicker recording of the sharpest possible images of the specimen (1) provision is made such that during a change of the optical distance (I) between the reflector (12) and the beam splitter (13) the light respectively reflected at a number of different depths of the specimen (1) is collected by the detector (30), and during the collection of the light respectively reflected at the different depths of the specimen (1) the imaging properties of the specimen objective are changed such that the focus comes within the range of the respective depth of the specimen (1).