“…The value of the Bragg reflection wavelength depends on the effective refractive index, , and on the grating period, Λ, according to Equation (1), as presented by Antunes [38]:
when the FBG sensor is stretched, or compressed, changes to , therefore, if the sensor is integrated with the point to measure, for example welding or pasting it to the monitored structure, the reflected wavelength changes are related to the strain and to the thermal variation, as described in Equation (2):
where , represents the photo-elastic coefficient, is the mechanical strain, is the thermal expansion of the silica, represents the temperature dependence of the refractive index, and is the temperature variation.…”