On the limits of applicability of an approximate formula for the surface impedance of a rectangular groove

Abstract

The problem of determination of the equivalent surface impedance of a rectangular groove is considered. The solution is obtained by the integral equations method. The Krylov–Bogoliubov method is used to solve integral equations numerically. The obtained dependence of the impedance value on the groove depth is compared to the dependence calculated using an approximate formula for different groove widths. The limits of applicability of the approximate formula are determined.