A Single Layer Representation for the Field Diffracted by Several Scatterers

The modeling and design of new optical devices such as metasurfaces or metamaterials required the solving of Maxwell equations in the presence of many scatterers. While there are efficient algorithms such as the Fast Multipole Method, they generally rely on a representation of the field by computationally complicated functions, i.e. multipoles. In the present work, we propose the use of a single layer representation of the field allowing to involve monopoles only, thus leading to a much simpler and efficient algorithm.