  Analyzing 3D anisotropic materials presents significant challenges,
especially when assessing 3D orientations, material distributions, and
anisotropies through scattered light, due to the inherently vectorial nature of
light-matter interactions. In this study, we formulate a scattering theory
based on the Rytov approximation, commonly employed in scalar wave tomography,
tailored to accommodate vector waves by modifying the scattering matrix. Using
this formulation, we investigate the intricate 3D structure of liquid crystals
with multiple topological defects exploiting dielectric tensor tomography. By
leveraging dielectric tensor tomography, we successfully visualize these
topological defects in three dimensions, a task that conventional 2D imaging
techniques fail to achieve.
