Separation of temperature and strain in a single fiber BOTDA system by pseudo-inverse approach

In this paper, we propose an approach to separate the temperature and strain information in a single fiber BOTDA system. The basis of this method is a mathematical theory to invert non-square matrices, called as Moore-Penrose pseudo-inverse. The system was tested both theoretically and experimentally in order to compare the use of a single optical band used to make a multi-wavelength measurement with other reference, which used two optical bands (O and C). The results demonstrated that this approach is suitable for recovering the temperature and strain data.