Table 2.

Overview of material responses discussed in this review

Material responses	Constitutive equations
Gyrotropic24	Gyroelectric $\mathit{D}=\left(\begin{array}{ccc}\hfill {\epsilon }_1\hfill & \hfill i{\epsilon }_2\hfill & \hfill 0\hfill \\ \hfill -i{\epsilon }_2\hfill & \hfill {\epsilon }_1\hfill & \hfill 0\hfill \\ \hfill 0\hfill & \hfill 0\hfill & \hfill {\epsilon }_3\hfill \end{array}\right)\mathit{E}$, Gryomagnetic $\mathit{B}=\left(\begin{array}{ccc}\hfill {\mu }_1\hfill & \hfill i{\mu }_2\hfill & \hfill 0\hfill \\ \hfill -i{\mu }_2\hfill & \hfill {\mu }_1\hfill & \hfill 0\hfill \\ \hfill 0\hfill & \hfill 0\hfill & \hfill {\mu }_3\hfill \end{array}\right)\mathit{H}$
Bianisotropic25 (magneto-electric coupling)	$\mathit{D}=\epsilon \mathit{E}+\left(\begin{array}{ccc}\hfill 0\hfill & \hfill i\chi \hfill & \hfill 0\hfill \\ \hfill -i\chi \hfill & \hfill 0\hfill & \hfill 0\hfill \\ \hfill 0\hfill & \hfill 0\hfill & \hfill 0\hfill \end{array}\right)\mathit{H},\mathit{B}=\left(\begin{array}{ccc}\hfill 0\hfill & \hfill i\chi \hfill & \hfill 0\hfill \\ \hfill -i\chi \hfill & \hfill 0\hfill & \hfill 0\hfill \\ \hfill 0\hfill & \hfill 0\hfill & \hfill 0\hfill \end{array}\right)\mathit{E}+\mu \mathit{H}$
Chiral26	$\mathit{D}=\epsilon \mathit{E}+\left(\begin{array}{ccc}\hfill i\kappa \hfill & \hfill 0\hfill & \hfill 0\hfill \\ \hfill 0\hfill & \hfill i\kappa \hfill & \hfill 0\hfill \\ \hfill 0\hfill & \hfill 0\hfill & \hfill i\kappa \hfill \end{array}\right)\mathit{H},\mathit{B}=-\left(\begin{array}{ccc}\hfill i\kappa \hfill & \hfill 0\hfill & \hfill 0\hfill \\ \hfill 0\hfill & \hfill i\kappa \hfill & \hfill 0\hfill \\ \hfill 0\hfill & \hfill 0\hfill & \hfill i\kappa \hfill \end{array}\right)\mathit{E}+\mu \mathit{H}$
Hyperbolic27	$\mathit{D}=\left(\begin{array}{ccc}\hfill {\epsilon }_{\mathrm{x}}\hfill & \hfill 0\hfill & \hfill 0\hfill \\ \hfill 0\hfill & \hfill {\epsilon }_{\mathrm{y}}\hfill & \hfill 0\hfill \\ \hfill 0\hfill & \hfill 0\hfill & \hfill {\epsilon }_{\mathrm{z}}\hfill \end{array}\right)\mathit{E},\mathit{B}=\mu \mathit{H}$ One or two components among εx, εy, and εz have the opposite sign.
Double hyperbolic28	$\mathit{D}=\left(\begin{array}{ccc}\hfill {\epsilon }_{\mathrm{x}}\hfill & \hfill 0\hfill & \hfill 0\hfill \\ \hfill 0\hfill & \hfill {\epsilon }_{\mathrm{y}}\hfill & \hfill 0\hfill \\ \hfill 0\hfill & \hfill 0\hfill & \hfill {\epsilon }_{\mathrm{z}}\hfill \end{array}\right)\mathit{E},\mathit{B}=\left(\begin{array}{ccc}\hfill {\mu }_{\mathrm{x}}\hfill & \hfill 0\hfill & \hfill 0\hfill \\ \hfill 0\hfill & \hfill {\mu }_{\mathrm{y}}\hfill & \hfill 0\hfill \\ \hfill 0\hfill & \hfill 0\hfill & \hfill {\mu }_{\mathrm{z}}\hfill \end{array}\right)\mathit{H}$ One or two components among εx, εy, and εz have the opposite sign, and one or two components among μx, μy, and μz have the opposite sign.

The bold values indicate that the quantity is a vector