A Scattering Matrix Method for Parallel Cylinders Above a Planar Perfect Electric Conductor

The scattering matrix method (SMM) is an efficient method to solve the canonical problem of computing the field due to a set of different scatterers in free space. In the present contribution, we extend the SMM to the case of cylinders lying parallel to a planar infinite Perfect Electric Conductor (PEC). This scenario occurs in many instances, including the cases of smart skins and metagratings. Thanks to the exploitation of the 'images' method, we are able to incorporate the presence of the planar PEC by still using the free space scattering matrix of each (extended) inclusion. This ensures that the scattering matrix of each inclusion is available in a closed form for canonical shapes. A comparison with commercial software is also provided.