The effect of a large amplitude Langmuir wave on the Weibel instabilit
y in a plasma with an electron beam is studied. The electromagnetic pe
rturbation couples to the Langmuir wave to give rise to two Langmuir s
ideband waves, which in turn produce a current enhancing the electroma
gnetic perturbation. The Langmuir wave enhances the growth over its li
near value. The enhancement is larger at shorter wavelengths. For upsi
lon(0)/c similar to 0.15, the growth rate is enhanced by a factor of 3
/2.