On the Inversion of Generalized V-Line Transform of a Vector Field in ℝ2

This article studies the inverse problem of recovering a vector field supported in (Formula presented.), the disk of radius (Formula presented.) 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 (Formula presented.) from the knowledge of its longitudinal and transverse V-line transforms over two different subsets of aforementioned broken lines in (Formula presented.).