Exact Scattering by Isorefractive Paraboloidal Radomes

The scattering of a plane electromagnetic wave axially incident on the convex side of a multilayered paraboloidal structure is considered. An exact solution is obtained via geometrical optics, when the materials of all layers are isorefractive to one another. The solution is given explicitly for single- and double-layer radomes, and via a recursive algorithm for radomes with three or more layers. Previously known exact results (conducting paraboloid, isorefractive paraboloid, Fabry-Perot etalon) are particular cases of our general solution. Extensive numerical results are shown and discussed.