ratio of the rate of optical rotation to the square of the angular frequency is found to be four orders of magnitude larger than that measured in “typical” gyrotropic materials, such as Pb$_5$Ge$_3$O$_{11}$ [@experiment; @Koiiak]. As a result, the plane of polarization of light will rotate by around $1.2$ radians per meter at 100GHz (or by $1.24\times 10^{-4}$ radians per meter at 1GHz), when passing through the system.

Figure 2b indicates that the observed decrease of G$_z$ is accompanied by an increase of the polarization, which is consistent with our numerical finding that increasing the field from 0 to 10$^9$ V/m reduces the $x$- and $y$-components of the electric dipoles inside the nanowires (that form the vortices) while enhancing the $z$-component of the electric dipoles in the whole nanocomposite (i.e., wires and medium). Interestingly, the antivortices in the medium progressively disappear during this linear decrease of G$_z$ and increase of P$_z$, as shown in Figs 1. Figures 2 also show that decreasing the electric field from 10$^9$ V/m (state 2) to $\simeq$ -0.031 $\times$ 10$^9$ V/m (state 3) leads to a linear increase of the electric toroidal moment (yielding the aforementioned values of $g_{11}$ and $g_{22}$), while the $z$-component of 