Electromagnetic scattering by an infinite array of truncated metal plates

An analytical solution is obtained for the scattering of an arbitrarily polarized plane electromagnetic wave by an infinite number of parallel metal half‐planes perpendicularly truncated by a metal plane. The solution is presented as an infinite series in the phasor domain and is valid everywhere, including near the edges of the parallel plates. The surface current density is then obtained, and numerical results are presented. This novel exact solution is important not only because it expands the catalog of available canonical solutions to boundary value problems but also because it may prove useful in the validation of computer solvers. Plain Language Summary This work considers an infinite number of parallel plates which are evenly spaced and resting on top of a metal plane. The paper gives expected response of the structure if it was hit by an electromagnetic wave from a far away source such as a satellite. The solution is purely theoretical and relies on mathematics to produce an exact result. This structure does not exist in the physical world, but the solution can prove useful for verifying approximate methods that are more common for real‐world scattering problems. Key Points The scattered electromagnetic field by an infinite array of semiinfinite metal plates truncated by a metal ground plane is obtained This canonical solution is valid for all points including near the edge singularities between the parallel plates and the truncating plane Surface current density on metal surfaces is obtained utilizing magnetic field information, and numerical results are presented