Jh. Lee et Hj. Eom, ELECTROSTATIC POTENTIAL THROUGH A CIRCULAR APERTURE IN A THICK CONDUCTING PLANE, IEEE transactions on microwave theory and techniques, 44(2), 1996, pp. 341-343
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.