AbstractThe objective of this study is to generate the separation‐distance‐domain (r‐domain) transformation of the theoretically calculated wave number domain (m‐domain) electromagnetic induction field componentBz(m,ω) of a stratified medium and to search for interpretive information which has been absent in the previously achieved numerical solutions of the problem.Ther‐domain kernelR̃(r,ω) function defining the induction field appears to adequately reflect the layering and electrical properties of the medium if it is expressed as a function of the frequency if the source‐receiver separationris small with respect to the thickness of the first layer. However, exact values of the conductivity cannot be distinguished from those of the neighboring values unless a resistive basement layer is present. This feature is the result of the truncation in series representation of the kernel functionR̃(m,ω). However, this truncation is regarded as significant in the case of a conductive first layer. Inm‐domain static‐zone studies, a conductive first layer slightly influences itsr‐domain correspondent.Although the computational cost of obtaining the kernelB(r,ω) by evaluation of the convolution in a cylindrical coordinate system is high, this semi‐analytic solution is still superior to those based on t