Paraxial theory of rotationally distributed-index media by means of Gaussian Constants

Using Gaussian Constants, a self-contained paraxial theory for rotationally distributed-index media has been formulated. The differential equations governing a ray transfer in inhomogeneous media have been derived together with an analytical solution and a numerical calculation method. The Lagrange-Helmholtz invariant for inhomogeneous media is presented, and a homogeneous model equivalent to ray transfer in inhomogeneous media is proposed. A numerical example is added to confirm the analysis.