Frechet　differential　corresponding　to　the　inverse　scattering　of　conductor　cylinder　is　studied　by　adjoint　operator　theory.　Numerical　implementation　of　Newton-Kantorovich　algorithm　under　successive　plane　wave　illumination　of　different　directions　and　frequencies　is　presented.　Determination　of　initial　values　for　iteration　is　introduced.　Three　kinds　of　bases　for　profile　description　of　conductor　cylinder　are　presented.　Numerical　results　for　each　base　are　presented　and　compared　with　each　other;　thus,　features　of　each　base　are　revealed.　©　Journal　of　Electromagnetic　Waves　and　Applications.　All　rights　reserved.