An improved model for the fully distributed temperature single-mode fibre optic sensor based on Raman optical frequency-domain reflectometry

An improved ROFDR theoretical model is presented based on the Bose-Einstein distribution of photons inside the single mode fibre in a thermal balance state between the inside and outside of a single-mode fibre when Raman scattering occurs along the fibre core. The arithmetic of signal processing based on the discrete and matrix method is obtained, which shows the process of getting the Stokes and anti-Stokes photon occupation probability ρ_S(z) and ρ_AS (z) clearly. An emulational result of distributed temperature in a single-mode optical fibre is also presented.