Time-domain inverse scattering with a coarse reconstruction mesh

In this paper we present the ongoing work on 3D time-domain inverse scattering for biomedical applications, at The University of Bristol. It is well known that 3D inverse scattering is an ill-posed nonlinear problem whose solution requires a huge amount of computational resources. One way to reduce this is to use a coarse parameter mesh for the reconstruction, rather than the mesh used in the EM solver. This can also dramatically reduce the memory requirements. This paper focuses on the implementation of such a mesh and its impact on the image reconstruction. Two multi-target lossless scenarios are considered; one generalized low permittivity case and one more realistic case with a simplified breast phantom. The results clearly show how the computational cost can be reduced while still producing a good quality image and convergence of the conjugate gradient algorithm.