An optical fiber sensor has a measurement path and a reference path. Both paths each consist of two optical fibers and are fed with modulated light. The fibers of the reference path have a predefined difference in length, whereas the fibers of the measurement path are the same length. All fibers are at approximately the same temperature. An evaluation circuit determines the phase differences in each case between the fibers of the measurement path and of the reference path. A measurement value calculated from the phase differences is then output.