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A successive approximation series for TE and TM scattering from one-dimensional conducting rough surfaces

A successive approximation (SA) scheme is applied to the problem of scattering from a perfectly conducting surface, rough in one dimension. The SA scheme is based on appropriate reformulation of the extinction theorem integral equation, in combination with a convenient representation of the source function. An explicit expression is given for the general term, which allows derivation of the general term of a related perturbation series and of corrections to the Kirchhoff approximation to all orders.