I. Introduction
Microwave tomography (MT) is relatively new method, developing for imaging of inner structure of human organs [1]. One of the perspective area of its application is early tumor detection, which is potentially effective, owing to a significant contrast in the dielectric properties of normal and malignant breast tissues at microwave frequencies [2]–[4]. Unlike the approximated radar imaging technic, MT produces solution of inverse electromagnetic (EM) problem for the image reconstruction of complex permittivity of the breast tissue [1]–[4]. The potential advantage of such a rigorous approach is limited by very long time of the reconstruction that is a consequence of the completeness of the inverse EM problem. This fact is one of a major difficulty of the microwave tomography.