Abstract
An integral equation for the fluctuating part of the field scattered by a perfectly conducting randomly rough surface is derived. The Born term in this equation contains the Kirchhoff approximation and a new factor. This Born term is valid as long as the fluctuating field is small compared to the average scattered field. Translation of this field constraint to conditions on the rough surface shows that the new Born term will be accurate as long as the surface has a small surface height irrespective of the surface slopes, curvatures, etc. In the limit of small surface slopes, this result is shown to reduce to the classical Rice surface perturbation result. Applications of this new result are discussed.
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