MAXWELL's equations determine a relation among the electric and magnetic field, the
space charge density and the current density. They read [4, p.31]
are the electric field and displacement vectors, respectively,
are the magnetic field and induction vectors, respectively,
is the total electric charge density, and
the conduction current density.
Eqns. (2.1) and (2.2) and eqns. (2.3) and (2.4)
each build a subsystem of their own. They are linked together by the relations
and are the permittivity and permeability, respectively.
Eqn. (2.5) and eqn. (2.6) are valid only in materials where no piezoelectric or
ferroelectric phenomena occur. In semiconductors the frequency dependence of
and can be neglected.
M. Gritsch: Numerical Modeling of Silicon-on-Insulator MOSFETs PDF