Reconstruction of dielectric objects under a limited observation

In the reconstruction of dielectric objects by integral equation approach (IEA), the forward scattering integral equation (FSIE) and the inverse scattering integral equation (ISIE) are alternatively solved in the frame of distorted Born iterative method (DBIM) or its variations. In this work, we consider the reconstruction under a limited observation which is more practical. We use a DBIM-like Gauss-Newton minimization approach (GNMA) incorporated with a multiplicative regularization method (MRM) and a line search method (LSM) to solve the ISIE and the inversion quality of scattering data can be enhanced. The numerical example for reconstructing a two-dimensional (2D) dielectric object is presented to illustrate the inversion approach.