The possibilities of the development of the 1-D tomographic fiber-optical measuring system based upon the set of the loop-shaped fiber-optical measuring lines with different lengths were investigated. Single fiber multimode interferometers were proposed as measuring lines. The system's signals processing algorithm was developed. The scheme of the arrangement of the single fiber multimode interferometers in the 1-D multichannel tomographic system was offered. The reconstruction of the lateral deformation pattern in the object (structural beam) under study was shown.