Modified gradient profile inversion using H-polarized waves

A method for reconstructing the complex permittivity of a bounded inhomogeneous object from measured scattered field data is presented. This work extends the method previously developed for the TM-case to the more complicated TE-case. In the TM-case the electric field integral equation involves an integral operator whose integrand was simply a product of the background Green´s function, contrast and field. In the TE-case, the magnetic field is polarized along the axis of an inhomogeneous cylinder of arbitrary cross-section and the corresponding integral equation contains derivatives of both the background Green´s function and the field.