A three dimensional microwave tomography employing an adjoint network theorem based sensitivity matrix

A reconstruction algorithm for three dimensional microwave imaging based on the modified perturbation method is proposed. Both the object conductivity $(\sigma)$ and permittivity r are reconstructed. The original Perturbation method developed for static problems was modified in order to apply in time harmonic problem at microwave frequencies. The Jacobian matrix is calculated in closed form employing an adjoint network theorem in conjunction with the electromagnetics reciprocity theorem. A number of successful reconstructions were carried out for different complex permittivity profiles, but all of them based on a computer phantom approach.