Inhomogeneous transient conductive half-space: reconstruction of conductivity time-dependence by scattered field

Inverse problems for a half-space with time-varying conductivity are solved. Determination of conductivity time-dependence after the scattered field is carried out with the assumption of the half-space homogeneity, for a propagating conductivity change and for the transient conductivity which is inhomogeneous in one dimension. Analytical solutions for the conductivity are obtained from integral equations and can be used for the diagnostics problems or for a determination of the conductivity time-dependence providing the required field transformation.