Uniqueness in the inverse transmission scattering problem for periodic media

We study the problem of the scattering by a periodic, penetrable medium. We present certain uniqueness results and give the integral equation formulation of the transmission problem which is of Fredholm type and provides the existence and continuous dependence result. Next we investigate the question of the uniqueness for the inverse transmission problem, i.e. we concentrate on the amount of information that is necessary to completely determine the profile and constitutive parameters of the scattering grating. Copyright © 1999 John Wiley & Sons, Ltd.