Quick and reliable estimates of velocity profiles in pipelines by a simple electromagnetic inverse scattering technique

An electromagnetic approach for reconstructing the permittivity and the velocity profiles of axially moving cylindrical targets is proposed. The developed method is based on a two-step procedure, which have been found to provide good approximations of the profiles to be reconstructed in a very efficient way when the peak velocity is small with respect to the speed of light in vacuum. These features are obtained by neglecting the movement in the first step, which is devoted to the reconstruction of the geometric and dielectric properties of the cylindrical targets. Starting from these values, the velocities are then identified in the second step. The paper reports the mathematical formulation of the approach, as well as some numerical simulations concerning elliptic multilayer cylinders with axially moving layers.