The invention provides a fiber with continuously changing chromatic dispersion; it limits the quantity of dispersion-compensating fiber needed in a transmission system to compensate the cumulative chromatic dispersion in the line fiber. The fiber has a higher chromatic dispersion at a first end than at the other end, referred to as the second end. The chromatic dispersion varies along the fiber, decreasing over at least a portion of the fiber. At the first end the chromatic dispersion can be of the order of the dispersion of a conventional line fiber, i.e. close to 8 ps/(nm.km). At the second end the chromatic dispersion can have a value of the order of 4 ps/(nm.km). The fiber is used as the line fiber in a transmission system at the beginning of a section between two repeaters. The chromatic dispersion in the vicinity of the first end limits non-linear effects at the beginning of the section; the decrease of the chromatic dispersion in the fiber ensures that at its second end the fiber can be connected to a fiber having lower chromatic dispersion. The fiber can be produced with an index profile in the shape of a rectangle and a ring by varying only the indices, and not the radii.