**Technology > Fibre Bragg Grating**

The fibre Bragg grating (FBG) is an optical sensor recorded within the core of a standard, single-mode optical fibre using spatially-varying patterns of intense UV laser light.

Short-wavelength UV photons have sufficient energy to break the highly stable silicon-oxygen bonds, damaging the structure of the fibre and increasing its refractive index slightly. A periodic spatial variation in the intensity of UV light, caused by the interference of two coherent beams or a mask placed over the fibre, gives rise to a corresponding periodic variation in the refractive index of the fibre. The grating formed at this modified region of fibre becomes as a wavelength selective mirror: light travelling down the fibre is partially reflected at each of the tiny index variations, but these reflections interfere destructively at most wavelengths and the light continues to propagate down the fibre uninterrupted. However, at one particular narrow range of wavelengths, constructive interference occurs and light is returned down the fibre.

Maximum reflectivity occurs at the so-called Bragg wavelength λ_{Β}, given by:

λ_{Β}=2n_{eff} Λ ...........(1)

where n_{eff} is the effective refractive index of the mode propagating in the fibre and Λ is the FBG period.

Equation (1) implies that the reflected wavelength λ_{Β} is affected by any variation in the physical or mechanical properties of the grating region. For example, strain on the fibre alters Λ and n_{eff}, via the stress-optic effect. Similarly, changes in temperature lead to changes in n_{eff} via the thermo-optic effect and in an unconstrained fibre, Λ is influenced by thermal expansion or contraction. This situation is expressed in Equation 2, where the first term on the RHS gives the effect of strain on λ_{Β} and the second describes the effect of temperature.

Δλ_{Β} = λ_{Β}(1-ρ_{α})Δε + λ_{Β}(α+ξ)ΔT .......(2)

where Δλ_{Β} is the change in Bragg wavelength, ρ_{α}, α and ξ are respectively the photoelastic, thermal expansion and thermo-optic coefficients of the fibre, Δε is the change of strain and ΔT is the temperature change. For a typical grating written in a silica fibre and with λ_{B} ≈ 1550 nm, sensitivities to strain and temperature are approximately 1.2 pm/με and 10 pm/ºC respectively.

Importantly, the two terms of equation (2) are independent, meaning that the FBG can be used to make temperature measurements by isolating the fibre from strain, and temperature compensated strain measurements can be made with knowledge of the temperature, often conveniently derived from a second, strain-isolated FBG.

As well as strain and temperature measurement, FBGs can be used for other measurements such as pressure, acceleration, displacement and the like by building the FBG into a transducer. These FBG sensors and transducers, as well as the instrumentation required to illuminate the fibre and interrogate the Bragg reflections, are the technology of Smart Fibres.