Potential Vector Fields in $\mathbb R^3$ and $α$-Meridional Mappings of the Second Kind $(α\in \mathbb R)$

This paper extends author's approach developed in a recent paper on analytic models of potential fields in inhomogeneous isotropic media. The properties of different analytic models in Cartesian and cylindrical coordinates in $\mathbb R^3$ are compared. The specifics of the Jacobian matrix $\mathbf{