A Combined Image Theory-Scattering Matrix Method for PEC Dihedral Geometries

We present a method for analyzing electromagnetic wave scattering from a set of objects located within a dihedral corner. The study focuses on the 2-D case and considers scatterers modeled as dielectric and/or perfectly conducting cylinders with arbitrary cross-sections. These cylinders are aligned parallel to each other and to the walls of the dihedral corner, which is formed by two perfectly conducting planes intersecting at an angle <inline-formula> <tex-math notation="LaTeX">$\Delta = {}{\pi }/{\mathrm { N}}$ </tex-math></inline-formula>, with N being any natural number. The proposed approach is based on the image theory and enables efficient and accurate computation of the scattered fields. Validation against commercial electromagnetic solvers highlights significant computational advantages and strong potential for inverse design purpose. Several examples of applications are provided to illustrate the capabilities of the approach.