Poynting theorem in a linear anisotropic medium
= Poynting theorem in a linear anisotropic medium
{c}
For symmetric time-independent constitutive tensors,
$$
u=\frac12(\varepsilon_{ij}E_iE_j+\mu_{ij}H_iH_j),
\qquad
S=E\times H,
$$
and the macroscopic Maxwell equations give $\partial_tu+\nabla\cdot S=-E\cdot J$.