The Inverse Skin Effect

Abstract

The axial current density in an infinite cylindrical conductor is calculated as a function of radius and time. In the problem studied the total axial current is specified as a function of time. The case of a rigid conductor is studied first, and the analysis is extended to the case of a radially expanding or contracting cylinder such as occurs in a linear pinched plasma. The radial velocity is assumed proportional to the radius, while the outside radius of the conductor is a general but specified function of time.