<title>Problem of the local field for plane grids with bianisotropic particles</title>

Abstract

A problem of local field for 2D regular and weakly non- regular arrays of bi-anisotropic particles is considered. Such arrays are excited by an incident plane electromagnetic wave. The local field is formed by incident wave and by all the particles besides an arbitrary chosen particle under consideration which can be named as zero-particle. For infinite or very large arrays we can express the local fields with only tow vector complex values which are to be defined in frames of the separate problem of an exciting and scattering by such grids. But the equations relating electric and magnetic dipole moments of zero-particle with an incident wave field are that we find in this paper. Since these moments can be easily related with the surface density of electric and magnetic moments averaged on the grid surface the equations under consideration are analogues with the known local field formulae in theories of 3D media. Our relations are given by several dyadics which are named below as key dyadics.