The goal of this work is to show that the numerical solution of the obstacle scattering problem based on the MRC (modified Rayleigh conjecture) method is a competitive alternative to the BIEM (boundary integral equations ...
A counterexample is given to the uniqueness result given in the paper by J.Cox and K.Thompson, ”Note on the uniqueness of the solution of an equation of interest in inverse scattering problem”, J. Math.Phys., 11, N3, (1970), ...
From the scattering data one finds the support function or the principal curvatures of the surface of a reflecting obstacle. From either of these data the surface is effectively reconstructed.