Abstract: In order to further develop an optical waveguide comprising first and second optically reflecting wall surfaces extending in a longitudinal direction and having a constant width transversely to the longitudinal direction, both wall surfaces facing one another and extending at a constant spacing from one another and enclosing a space in which radiation is guided by reflection in the longitudinal direction, such that it is flexible and hence permits guidance of the radiation in different directions, it is proposed that a first region of the waveguide be movable in a flexible manner relative to a second region thereof, and that each wall surface be carried for this purpose by a strip which on account of its inherent rigidity is bendable in a non-buckling manner perpendicular to the longitudinal direction and the wall surfaces of the strips be held at a constant spacing from one another by a supporting structure comprising supporting surfaces which are arranged one after the other in the longitudinal direction an