Equivalent boundary conditions for the electromagnetic field on the surface of a periodic grating of resistive strips

TL;DR

This paper develops impedance boundary conditions to simplify modeling electromagnetic interactions with small-period resistive strip gratings, replacing complex structures with a flat discontinuity surface.

Contribution

It introduces new two-sided impedance boundary conditions for arbitrary incident fields on small-period resistive gratings, enabling simplified analysis.

Findings

Boundary conditions valid for any incident field

Replacement of complex gratings with a flat discontinuity

Applicable when grating period is much smaller than wavelength

Abstract

The present work is aimed at formulating equivalent boundary conditions for the electromagnetic field on the surface of a periodic grating of resistive strips valid for arbitrary incident fields. It is assumed that the period of the grating is much smaller than the wavelength. We obtain two-sided boundary conditions of impedance type that allow one to replace any flat grating of resistive strips with a plane of discontinuity of the electromagnetic field.