Electrostatic potential distribution through a rectangular aperture in a thick conducting plane

Abstract

A potential distribution through a rectangular aperture in a thick conducting plane is examined when the incident electric field is normal to the rectangular aperture. The Fourier-transform is used to represent the potential in the spectral domain and the boundary conditions are enforced to represent a solution in closed form, Numerical computations are performed to illustrate the behavior of the potential distribution through a thick rectangular aperture, Our solution for the electric polarizability is represented in rapidly converging series so that it is numerically efficient.