ELECTROSTATIC POTENTIAL THROUGH A CIRCULAR APERTURE IN A THICK CONDUCTING PLANE

The electrostatic potential through a circular aperture in a thick con ducting plane is examined. The Hankel transform is applied to express the scattered potential in the spectral domain and the boundary condit ions are enforced to obtain simultaneous equations for the transmitted potential inside the thick conducting plane. The simultaneous equatio ns are solved to represent the transmitted and scattered potentials in series forms. Numerical computations are performed to illustrate the behavior of polarizability in terms of the aperture size. The numerica l comparisons to other available data show excellent agreement. The pr esented series solution is fast convergent so that it is very efficien t for numerical computation.