Extension of the Multipole Approach to Random Metamaterials
Figure 2
Geometry for the probability function elaboration, the spheres show meta-atoms. The first row shows a regular arrangement of the meta-atoms, where each meta-atom occupies the center of a slot of length equal to the mean period. The second row depicts an arrangement of the meta-atoms exhibiting random uncorrelated positional disorder (denoted by ), the extent of the disorder being governed by the as shown in the last row. The interseparation between the two subsequent meta-atoms is a function of the random variables and , and the analytic form of the can be obtained by the use of the statistical methods if the analytic form of the is given.
