Reconstruction of 3-D dielectric objects from measured data

Electromagnetic inverse scattering has widespread applications in biomedical imaging, nondestructive evaluation, and subsurface sensing. However, in general the inverse scattering problem is nonlinear, ill-posed, and computationally demanding. This is especially true for three-dimensional inverse scattering problems, where there are few demonstrated inverse scattering methods. Furthermore, in many inverse scattering methods, the forward scattering methods are necessary, so the efficiency of forward scattering is also an important issue.