The intensity of single gluon bremsstrahlung in a QCD plasma is evaluated with a Monte Carlo which solves the transport equation for a generic interaction with the medium. In particular, the calculation is performed for a Debye screened potential and compared to the well-known Gaussian/Fokker-Planck results. The full calculation including the first and last gluons shows a qualitatively different behavior from the Baier-Dokshitzer-Mueller-Peigne-Schiff result for any finite medium length. It is shown that the emission intensity is underestimated for the Gaussian approximation, compared to the Debye screened potential. This change cannot be accounted for by a redefinition of the Gaussian parameter (q ^).