Abstract
The physico-mathematical principles of the design and processing of signals from a one-dimensional tomographic-type fiber-optic measurement system are considered. The maximum number of measurement channels in the system and its response and error in measurements of the deformation of different study objects are determined. It is shown that the system may be used to recover the 1D distribution of axial stretching in a designated direction on the surface of an elastic beam and the profile of its transverse displacements.
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