$${(\text{rot} {\bf H})_x = \frac{\partial H_z }{\partial y} - \frac{\partial H_y}{ \partial z} = - \varepsilon \varepsilon _0 \frac{\partial E_x}{\partial t} \\ (\text{rot} {\bf H})_y = \frac{\partial H_x }{\partial z} - \frac{\partial H_z}{ \partial x} = - \varepsilon \varepsilon _0 \frac{\partial E_y}{\partial t} \\(\text{rot} {\bf H})_z = \frac{\partial H_y }{\partial x} - \frac{\partial H_x}{ \partial y} = - \varepsilon \varepsilon _0 \frac{\partial E_z}{\partial t}}$$