An efficient 2.5D finite element - transformation optics approach to morphed-BoR objects

When an object exhibit some sort of symmetry, its exploitation in writing an adhoc formulation usually leads to greater eciency with respect to a brute-force fully 3D approach. In particular, when an object exhibits a body-of-revolution (BoR) symmetry, its electromagnetic scattering properties can be analyzed by expanding the angular variation of the fields in harmonics and reduce the numerical FEM solution to the 2D half plane generating the structure, yielding a 2.5D formulations which is of course much more CPU and memory effcient than any full 3D solution. The same is also true for microwave waveguide devices exhibiting a BoR symmetry.