We propose a reconstruction method to extract the variable mass density from the elastic far-
fields, with a single incident direction, measured before and after injecting highly dense
small scaled inclusions. We take as a model, the Lam\'e system where the mass density is
the unknown and the Lam\'e parameters are kept as known constants. The injected
small/dense inclusion, $ D:= z+ a B $ with $ z $ as its location, $ a\ll 1$ as its maximum
radius and $ B $ of unit volume, generates a sequences of resonant frequencies. These …

We propose a reconstruction method to extract the variable mass density from the elastic far-
fields, with a single incident direction, measured before and after injecting highly dense
small scaled inclusions. We take as a model, the Lamé system where the mass density is the
unknown and the Lamé parameters are kept as known constants. The injected small/dense
inclusion, $ D:= z+ a B $ with $ z $ as its location, $ a\ll 1$ as its maximum radius and $ B $
of unit volume, generates a sequences of resonant frequencies. These special frequencies …