A rigorous method is presented describing the coupling between an exci
ton polariton in a halfspace semiconductor and the external driving fi
eld. The method is based on density matrix theory. It allows to consid
er realistic electron-hole interactions, spatial dispersion and extrin
sic surface potentials. Without invoking additional boundary condition
s or an artificial subdivision of the semiconductor it is shown that t
he influence of the surface can be isolated from the bulk behaviour. T
his is accomplished by a symmetric continuation of the restricted conf
iguration space to bulk geometry inspired by the image source method i
n electrostatics. As a demonstration the solution is worked out for a
simplified polariton model. The results are compared with other theori
es and with experimental reflection spectra.