3D Microwave Imaging inside PEMC Cavity Using Combined-Norm Regularization Term and Modified CG Algorithm

In this paper, microwave imaging is done inside a PEMC (Perfect Electromagnetic Conductor) cavity for the single layer and multi-layer objects using novel combination of inverse scattering algorithms. As a single layer case, it is attempted to reconstruct the permittivity, location, shape and size of the scatterer. However, for the multi-layer case, the tumor is detected inside a breast. The FDTD (Finite Difference Time Domain)-Tfsf(Total Field Scattered Field) method is used as a forward method to find the electric and magnetic fields in the presence of any scatterer inside a PEMC cavity. In this boundary condition, electric and magnetic fields are prevented to transmit the energy into the medium. However, the combined-norm regularization term with modified CG (Conjugate Gradient) algorithm is used in the inverse scattering problem to reconstruct the features of the scatterer and background medium. The results of PEMC boundary condition are obtained for the optimized value of admittance (M) in the boundary of cavity and also, different numbers of mesh grid in each axis. The convergence error and computation time in the inverse scattering problem shows that the problem is treated very well. Several examples are done to show the validity of the implementation.