Multiple scattering of metallic wire structures

We describe how the electromagnetic resonance and scattering properties of complex structures of which metallic wire structures are constituents can be studied with multiple scattering theory. The t matrix of individual structures is calculated with our recently developed rigorous equivalent circuit theory in which retardation effects are taken into account. We illustrate our method with the example of a planar periodic array of split ring resonators. The transmission is calculated as a function of frequency. The result is found to agree well with that obtained by a commercial code (COMSOL) but our result is two orders of magnitude faster and requires much less memory. (C) 2015 AIP Publishing LLC.