Ultrasound and Microwave Imaging with Prior Property Dependencies

The solutions to the inverse scattering problems in electromagnetics and acoustics are modified to incorporate prior knowledge of the property dependencies of expected material constitutive parameters; dependencies are built directly into the discontinuous Galerkin method Gauss-Newton inversion algorithm (DGM-GNI). As the expected target materials are known, a relationship between properties (real and imaginary permittivity in electromagnetics, and compressibility, density and attenuation in acoustics) is assumed. This dependence is used to recast the multi-property inversion problems as a single property inversion in each imaging modality, reducing the degrees of freedom and suppressing spurious solutions.