An inverse scattering method for a 1-D dissipative Helmholtz equation Original Research Article

In this numerical method for simultaneous reconstruction of permittivity and conductivity in the one-dimensional inverse problem for the Helmholtz equation, a system of Riccati equations with trace formulae is derived, then used to propagate reflection and transmission data into the interior of an interval to obtain inhomogeneous material profiles. Numerical results are examined.