Brillouin correlation-domain techniques used for fiber optic distributed sensing have been widely studied owing to their unique feature in which the spatial resolution is not limited by the phonon lifetime, unlike with time-resolved methods. This approach can be divided into two main classes according to the scattering type, i.e., spontaneous or stimulated Brillouin scattering. In this study, we derived a formula for the measurement spectrum of the correlation-domain reflectometry using spontaneous Brillouin scattering by considering its stochastic properties. The derived formula is equivalent to the formula of the system using stimulated Brillouin scattering. Our results indicate that the methods developed thus far for improving the system’s performance can be commonly applied.
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