Maxwell equations in matter (source code)

= Maxwell equations in matter
{c}

In macroscopic matter with free charge density $\rho$ and free current density $J$,
$$
\nabla\cdot D=\rho,
\quad
\nabla\cdot B=0,
\quad
\nabla\times E=-\partial_tB,
\quad
\nabla\times H=J+\partial_tD.
$$
The electric displacement $D$ and magnetic field strength $H$ encode the material response.

These are the <Maxwell equations> after separating free and bound material sources.