  A construction of prismatic Hardy space infinite elements to discretize wave
equations on unbounded domains $\Omega$ in $H^1_{loc}(\Omega)$,
$H_{loc}(curl;\Omega)$ and $H_{loc}(div;\Omega)$ is presented. As our
motivation is to solve Maxwell's equations we take care that these infinite
elements fit into the discrete de Rham diagram, i.e. they span discrete spaces,
which together with the exterior derivative form an exact sequence. Resonance
as well as scattering problems are considered in the examples. Numerical tests
indicate super-algebraic convergence in the number of additional unknowns per
degree of freedom on the coupling boundary that are required to realize the
Dirichlet to Neumann map.
