Wave scattering in one dimension with absorption
Wave scattering in one dimension with absorption
Wave scattering is analyzed in a one-dimensional nonconservative medium governed by the generalized Schrödinger equation d2ψ/dx2+k2ψ=[ikP(x)+Q(x)]ψ, where P(x) and Q(x) are real, integrable potentials with finite first moments. Various properties of the scattering solutions are obtained. The corresponding scattering matrix is analyzed, and its small-k and large-k asymptotics are established. …