  We develop a numerical method to nonperturbatively study scattering and gluon
emission of a quark from a colored target using a light-front Hamiltonian
approach. The target is described as a classical color field, as in the Color
Glass Condensate effective theory. The Fock space of the scattering system is
restricted to the $\ket{q}+\ket{qg}$ sectors, but the time evolution of this
truncated system is solved exactly. This method allows us to study the
interplay between coherence and multiple scattering in gluon emission. It could
be applied both to studying subeikonal effects in high energy scattering and to
understanding jet quenching in a hot plasma.
