  We study Maxwell theory, in the presence of charged scalar sources, near the
black hole horizon in a partial wave basis. We derive the gauge field
configuration that solves Maxwell equations in the near-horizon region of a
Schwarzschild black hole when sourced by a charge density of a localised
charged particle. This is the electromagnetic analog of the gravitational
Dray-'t Hooft shockwave near the horizon. We explicitly calculate the S-matrix
associated with this shockwave in the first quantised $1\rightarrow 1$
formalism. We develop a theory for scalar QED near the horizon using which we
compute the electromagnetic eikonal S-matrix from elastic $2\rightarrow 2$
scattering of charged particles exchanging soft photons in the black hole
eikonal limit. The resulting ladder resummation agrees perfectly with the
result from the first quantised formalism, whereas the field-theoretic
formulation allows for a computation of a wider range of amplitudes. As a
demonstration, we explicitly compute sub-leading corrections that arise from
four-vertices.
