Reconstruction of the conductivity time-dependence in a half space by scattering fields

摘要

The inverse problem for a half-space with time-varying conductivity is solved analytically. The incident field here has an arbitrary form so the results could be used for signals as well as for waves. The conductivity time-dependence is determined in two variants: (1) by the incident field and the field inside the transient region and (2) by incident field and the external field.