Generalisation of the transient field solution for a thin layer of finite thickness

Abstract

We derive a closed-form solution for the transient magnetic field developed by a magnetic source located above a thin conductive layer. The solution extends the solution found by J.C. Maxwell for a conductive thin sheet. In addition to Maxwell's expression, the new solution explicitly depends on the thickness of the conductive layer. It can be used in a rapid inversion algorithm. The new solution allows an interpreter to estimate the thickness and conductivity of the conductive layer in addition to its conductance.