Reflection and transmission coefficients of a flat periodical array of magnetic metallic inclusions

The author presents a theoretical study of the reflection and transmission coefficients of a flat periodic array of magnetic metallic inclusions. A spectral description of the diffracted fields coupled with a set of boundary conditions written on the top and the bottom of the inclusions is used. This makes it possible to write two equations where the magnetic and electric currents are, first, uncoupled and, second, directly associated respectively with the magnetic and electric incident fields. The solutions are obtained using the Galerkin method. The method shows that the response of a monolayer made of a periodic array of magnetic metallic inclusions (whatever their shapes) is weakly sensitive to the magnetic susceptibility of the inclusions. Nevertheless. the method is sensitive enough to allow one to recover the magnetic response of the composite from the reflection and transmission coefficients by solving the associated inverse problem.<>