Abstract: A process for preparing an optical element comprising an optical fiber located in a tubular jacket in a curve shape with a radius of curvature sufficiently big to avoid a substantial increase of the loss at light transmission in which process by establishing elastic tensions varying over the cross-sectional area of the element, the element is given such a permanent preshape that when placed in the tubular jacket it has a marked tendency to assume by itself the desired curve shape. The fiber itself can be preshaped or it can be provided with an eccentric coating or a segmented multicomponent coating having different contraction tendencies. An optical element so produced and an optical transmission means comprising such an element is also described.