The three-dimensional refractive index reconstruction (3D-RID) of optical fiber with longitudinal refractive index distribution changing, such as helical fibers and fusion splicing fibers, is necessary for subsequent transmission performance research. However, the longitudinal RID is composed by the superposition of multiple cross-sectional RIDs, which often requires huge amounts of data for calculation. The analytical methods and numerical methods are usually used for the transverse section reconstruction, in which the former needs the complete sinogram and slowly varying approximation for the fiber and the latter is in contrast. Therefore, we present the reconstruction of the 3D-RID of the double-core helical fiber and fusion splicing between single-mode fiber and multi-mode fiber by a numerical method, the total variation (TV) method. The experimental results show that the result of the TV method under the sparse angle (30 rotations) is similar to the result of the refractive index analyzer (IFA) under the complete sinogram (180 rotations). The superiority of TV not only reduces the time spent on mechanical rotation, but also compresses the sinogram for 3D-RID calculation.
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