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Simple surface integral equations are obtained for infinitely extended cylindrical structures with arbitrarily shaped cross-section of transverse corrugations. The asymptotic corrugated boundary condition (ACBC) for periodic transverse corrugated surfaces is used. We show how to apply the method to calculate the plane wave scattering from arbitrarily shaped cylinders with dielectric-filled corrugations. The method of moments is used to solve the integral equations and the numerical solution is verified with some published results. Several examples of corrugated struts are analyzed to reduce the forward scattering from the structures.