Generalisation of Maxwell's transient field solution for a thin layer of finite thickness

What is it about?

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.

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Why is it important?

The solution may be applied for real-time inversion of the airborne EM data. Unlike the initial Maxwell's solution, it accounts for the thickness of the conductive layer.