On the Inversion of Generalized V‐Line Transform of a Vector Field in ℝ2$$ {\mathbb{R}}^2

This article studies the inverse problem of recovering a vector field supported in , the disk of radius centered at the origin, through a set of generalized broken ray/V‐line transforms, namely, longitudinal and transverse V‐line transforms. Geometrically, we work with broken lines that start from the boundary of a disk and break at a fixed angle after traveling a distance along the diameter. We derive two inversion formulas to recover a vector field in from the knowledge of its longitudinal and transverse V‐line transforms over two different subsets of aforementioned broken lines in .