Fiber Bragg Gratings: Fundamentals and Applications in Telecommunications and Sensing

By A. Othonos, K. Kalli, G. Kohnke. 2000

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Estimation of dynamic structural displacements using fiber Bragg grating strain sensors (2007, background): “The Bragg condition is expressed as [9] Λ = e B n 2 λ (1) where B λ is the Bragg wavelength of FBG, e n is the effective index of the fiber core and Λ is the grating period.”
Fiber Bragg Grating Sensors toward Structural Health Monitoring in Composite Materials: Challenges and Solutions (2014, background): “An FBG is a periodic and permanent modification of the core refractive index value along the optical fiber axis [5,10].”
A Guide to Fiber Bragg Grating Sensors (2013, background): “Equations (11) and (14) can be written in matrix form: ΔλΔλ = K KK K × ΔεΔT (17) Equation (17) is called the wavelength shift matrix because its solution gives us the wavelength displacements of both FBGs as a function of temperature and strain.”
Fibre Optic Sensors for Structural Health Monitoring of Aircraft Composite Structures: Recent Advances and Applications (2015, background): “6 × 10−6 K−1 for a germanium-doped, silica-core fibre have been reported in the literature [28].”