Scattering from 2-D superquadric surfaces

Scattering from perfectly conducting 2D superquadric cylinders of arbitrary squareness parameter is investigated. A uniform geometrical optics (UGO) solution valid across the smooth caustics generated by the surface poles or zero curvature points is developed based on physical optics (PO). The classical geometrical optics solution is modified using a multiplicative transition function that compensates the caustic singularities and also accounts for the complex ray contributions emanating from nonspecular scattering centers located near the surface poles. The transition function is heuristically derived, based on the PO radiation integral and involves higher-order Airy (hyper-Airy) functions. The resulting UGO solution for the scattered fields is simple, easy to apply, and computationally efficient for electrically large cylinders. It compared very well with PO and moment-method solutions for both backscatter and bistatic configurations.<>