|The topology of the elements of a metamaterial can be engineered from its
desired electromagnetic constitutive tensor using an inverse group theory
method. Therefore, given a desired electromagnetic response and a generic
metamaterial elemental design, group theory is applied to predict the
various ways that the element can be arranged in three dimensions to
produce the desired functionality. An optimizer can then be applied to an
electromagnetic modeling tool to fine tune the values of the
electromagnetic properties of the resulting metamaterial topology.