Abstract: The invention is directed to arrangement wherein an object is scanned by a columnar light spot traveling in a first coordinate direction (x). The light scattered or transmitted from the object is directed to a linear detector whose individual, sequentially scanned elements effect the resolution of the object in the second coordinate direction (y). The object is scanned via a first layer of mutually adjacent light-conductive fibers which are placed directly on the object. A second layer of fibers overlaps the first layer in crosswise fashion and directs the scattered light toward the detector. In the region where the fiber layers overlap, the cores of the fibers are exposed on the side thereof facing the object and are covered with diffraction gratings to couple the light into and out of the fiber cores.