Eigenstates of Maxwell’s equations in composite microstructures

The theory of eigenstates of Maxwell’s equations in a composite medium is extended to composites that have many constituents where every constituent can have arbitrary but uniform values of the dielectric constant, the electric conductivity and the magnetic permeability. Those eigenstates are then used to develop an expansion for the local physical electric field which results either from a given electric current distribution or a given “incident field”, which means a field that is produced in the pure “host constituent”—that is the only constituent which extends out to infinite distances.