Maxwell’s equations are modified for polarized and magnetized materials.
For linear materials the polarization P and magnetization M is given by
And the D and B fields are related to E and H by
Maxwell’s Equations Inside Matter (Cont’d)
• For polarized materials we have bound charges in addition to free charges
• In electrodynamics any change in the electric polarization involves a flow of bound charges resulting in polarization current Js
Polarization current density is due to linear motion of charge when the Electric polarization changes
Generally, ε and µ can be rank-2 tensor (3X3 matrices) describing birefringent anisotropic materials.