Discuss the conservation of energy and linear momentum for a macroscopic system of sources and electromagnetic fields in a uniform, isotropic medium described by a permittivity e and a permeability /?. Show that in a straightforward calculation the energy density, Poynting vector, field-momentum density, and Maxwell stress tensor are given by the Minkowski expressions,

What modifications arise if e and /? are functions of position?

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(EE? + µH?) S = E x H g = peE x H Tj = [eE,E, + µH,H, - 8,(eE? + µH²)] 1,