Thin-slot formalism for the FDTD analysis of narrow apertures having depth

Abstract

A new thin-slot formalism is presented for the finite-difference time-domain (FDTD) analysis of the coupling of narrow apertures having depth. To derive the formalism, the equivalence principle is used to divide the slot coupling problem into three decoupled parts. The field distribution near the aperture is gained from the equivalent magnetic current together with a constant field distribution assumption. By incorporating the field distribution into the Ampere’s law and Faraday’s Law, the updated equations are derived to modify the electromagnetic field components near the apertures. Two numerical examples are adopted to verify the validity of the proposed formalism, and both the high-resolution standard FDTD results and FEKO (FEldberechnung Bei Körpern mit beliebiger Oberfläche) result are presented as references. The proposed formalism is verified to be a stable and accurate model for thin-slot coupling.

Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant No. 60971063.