ABSTRACT
Correct extraction of effective material parameters (EMP) of a metamaterial (MTM) layer formed by optically small resonant particles embedded in a dielectric matrix from the experimental data or numerical simulations is very important for the design and optimization of MTM. To retrieve EMP through exact plane-wave simulations of the regular layer is much more accurate than through approximate analytical calculations involving electric and magnetic polarizabilities of individual particles, mixing rules, or other approximate algorithms of averaging. In spite of huge computation efforts and time expenses, the researcher encounters the problem of artificial magnetism. The use of the Lorentz EMP requires involving transition layers to calculate R and T coefficients of slabs. However, these EMP as well as parameters of the transition layer do not depend on the propagation direction. The main restriction for the Ewald–Bloch EMP is that they are absolutely not applicable for evanescent waves and for any package of plane waves.
