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Superspheroids: a new family of radome shapes

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1 Author(s)
Overfelt, P.L. ; Dept. of Res., Naval Air Warfare Center Weapons Div., China Lake, CA, USA

We use the arc described by the two-dimensional superquadric equation (taking its exponent ν to be any positive real number) in the first quadrant only and revolve it about its major axis to obtain a body of revolution family of geometric shapes called superspheroids. For certain values of length and radius and assuming that 1<ν<2, we have determined new shapes that are appropriate for high speed missile radomes. We have found that the superspheroid with optimized exponent value ν=1.381 can almost exactly reproduce the traditional Von Karman radome geometry. Incidence angle maps and geometric properties have been determined for this superspheroidal family. We have used a ray tracing analysis to obtain boresight error induced by this family of shapes as a function of gimbal angle. The superspheroids are mathematically simple, can approximate most of the traditional radome geometries quite well, and are exceptionally easy to either program or use analytically

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Antennas and Propagation, IEEE Transactions on  (Volume:43 ,  Issue: 2 )