Abstract

A mathematical model of a fiber-optic deformation sensor is developed to model the sensing segment of an optical fiber with a distributed Bragg grating in the form of a cylindrical spiral coil with a constant or gradient angle of elevation. The sensing optical fiber coil is embedded either in the tested local area of the uniform material or the local area of the composite material on the surface of the supporting or reinforcing composite filament. The sensing optical fiber coil determines the bulk deformation state in the local area of the material in the vicinity of the sensing coil. The function of the density of the distribution of axial deformations along the sensing spiral coil is obtained by solving the Fredholm integral equation of the first kind from the measured reflection coefficient spectrum and by using the deformations in the area containing the embedded sensor. The results of the numerical simulation of the reflection coefficient spectra and the deformation distribution densities are presented for different parameters of the sensing spiral coil. The model can be used to test complex bulk deformations of uniform and unidirectional fiber composite areas.

© 2020 Optical Society of America

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