Parametric Inversion of 3-D Anisotropic Permittivities From Scattered Electromagnetic Fields

A model-based inversion algorithm combined with the curl-conforming volume integral equation (VIE) method is presented for sensitivity analysis of electromagnetic measurement for anisotropic objects. The forward algorithm utilizes the curl-conforming VIE method. The inversion algorithm is based on the Gauss-Newton method. The approach is applied to the reconstruction of the permittivities of 3-D anisotropic objects. Moreover, sensitivity analysis of the data from different polarizations of transmitters and receivers to the anisotropic properties is performed. Numerical examples show the effectiveness of the inversion algorithm and demonstrate the sensitivities of data from different transmitter and receiver pairs to the anisotropy.