Superspheroid Geometries for Radome Analysis.
Final rept. Jan-Aug 94,
NAVAL AIR WARFARE CENTER WEAPONS DIV CHINA LAKE CA
Pagination or Media Count:
In the following, we use the arc described by the two-dimensional superquadric equation taking its exponent, v, 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 v 2, we have determined new shapes that are appropriate for high speed missile radomes. We have found that the superspheroid with optimized exponent value v 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. Radomes, Superspheroids, Superquadrics, Von Karman, Tangent Ogive, Boresight Error
- Numerical Mathematics
- Guided Missile Dynamics, Configurations and Control Surfaces
- Active and Passive Radar Detection and Equipment