## Artificial Boundary Conditions for a Transmission Boundary-Value Problem for the Time-Harmonic Maxwell Equations without Displacement Currents

• We consider a transmission boundary-value problem for the time-harmonic Maxwell equations without displacement currents. As transmission conditions we use the continuity of the tangential parts of the magnetic field H and the continuity of the normal components of the magnetization B=müH. This problem, which is posed over all IR3, is then restricted to a bounded domain by introducing artificial boundary conditions. We present uniqueness and existence proofs for this problem using an integral equation approach and compare the results with those obtained in the unbounded case.