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Calculating scatter from surfaces with zero curvature

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The far-field physical optics scattering integral for scatter from a surface element S is an area integral evaluated over S. This integral can be reduced to a contour integral evaluated around the boundary edge of S when the Gaussian curvature of S is everywhere equal to zero. Such surface elements include regions on planes, cylinders, cones, and, more generally, any type of developable surface.

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Antennas and Propagation, IEEE Transactions on  (Volume:51 ,  Issue: 9 )