Analysis of magnetic polarizability of two circular apertures in a thick conducting plane

Abstract

A boundary value problem of magnetostatic potential penetration into two circular apertures in a thick conducting plane is solved. The Hankel-transform and mode-matching techniques are used to represent the scattering and transmitted potentials in rapidly convergent series forms. The coupling coefficient and magnetic dipole moments are rigorously derived and presented in numerically efficient forms. Numerical computations are performed to illustrate the field penetration and coupling behaviors in terms of aperture geometry.