Unrelated Illumination Approach for the Reconstruction of Three-Dimensional Inhomogeneous Dielectric Bodies

Abstract

The unrelated illumination method is used to estimate the complex permittivities of three-dimensional inhomogeneous dielectric bodies. Starting from the integral representation of the electric field and using the method of moments, the object under investigation is illuminated by a group of unrelated incident fields. Computer simulations show that the method can be used to overcome the severe ill-posedness of the three-dimensional problem even in the presence of noise and with the use of only one detector to measure the external scattered field. The accuracy of the method is tested for various contrasts, number of scatterers and different cell sizes. The method is further tested using a model for the human head and a 180-cell model of the human body and very accurate reconstruction is obtained.