The Capacitance Thin-slot Formalism Revisited: An Alternative Expression for the Thin-Slot Penetration

Abstract

The capacitance thin-slot formalism is investigated, in which the effective permittivity is found to be time varying while the effective permeability is nearly constant. Additionally, it is found that the effective permeability is not equal to the reciprocal of the effective permittivity. Based on the improved formalism of the field distributions and numerical results, an alternative expression is derived for the thin-slot penetration by modifying coefficients of the updating equations near the slot. High-resolution standard finite difference time domain method (FDTD) result and commercially available numerical tool FEKO result are presented in support of the new expression.