Iterative algorithm for microwave imaging using the CGM-FFT and the pseudoinverse method

Within biomedical microwave tomography, a spatial iterative method for the reconstruction of the complex permittivity of inhomogeneous lossy dielectric objects with arbitrary shape from their scattered electric field is shown. Starting from the integral representation of the electric field and by means of the method of moments (MoM) and a first order linearization of the resulting expressions, the integral equations are converted into matrix equations building an iterative scheme. This technique has been developed for the bidimensional TM case with cylindrical geometry. The advantages and limitations of this algorithm are also discussed.