The computations used to derive Theorem 9 are similar to those done by Morame and Suslina in their studies on the periodic Maxwell operator. Our aim is to use Theorem 9 to derive a meromorphic continuation of the resolvent of the extended Maxwell operator. Therefore, we use the following immediate consequence of Theorem 9 Of course, both (6) and (7) can be supplemented with boundary conditions and thus yield equalities between operators. This can be done for the quasi-periodic conditions occurring in the Floquet theory. As and are zeroth order operator, as for the standard Schrödinger operator, one constructs a meromorphic continuation for the resolvent of acting on with quasi-periodic boundary conditions, namely