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.

中文翻译：

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自发布里渊散射光的随机表示的布里渊光学相关域反射法理论

由于其独特的特征，与时间分辨方法不同，空间分辨率不受声子寿命的限制，用于光纤分布式传感的布里渊相关域技术已得到广泛研究。根据散射类型，该方法可分为两大类，即自发或受激布里渊散射。在这项研究中，我们通过考虑自发布里渊散射的随机特性，推导了相关域反射法测量光谱的公式。导出的公式等效于使用受激布里渊散射的系统公式。我们的结果表明，迄今为止开发的用于改善系统性能的方法可以普遍应用。