Inverse problem of thermoelasticity of fiber gratings

Photoelasticity permits measurement of the axial stress distribution in optical fibers and fiber preforms of arbitrary cross section. Determination of other components of stress tensor is possible only with the use of additional information. The aim of this publication is to develop an algorithm for reconstructing stresses in circular waveguides based on the thermoelasticity model. Thus, it is assumed that there exists a temperature field T(x, y, z), which causes a stress field, equal to the stress pattern. The algorithm of reconstruction of stresses in fiber gratings is presented in the frame of nonhomogeneous elasticity.