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The purpose of this note is to demonstrate that an existing Kirchhoff solution by Beckmann and Spizzichino for the average backscattered power from a randomly rough surface correctly provides frequency dependence for a computer-generated surface. In addition, it also approaches the geometrical optics solution in the high-frequency limit. Results indicate that for backscattering near vertical incidence this solution is more general and useful for applications than the geometric optics solution (given by (5) in section 2).