A Lagrangian fluid model (cold plasma, fixed ions) is developed for an
alyzing the coupling between electron plasma waves. This model shows t
hat a small wave number electron plasma wave (omega(2),k(2)) will stro
ngly affect a large wave number electron plasma wave (omega(1),k(1)),
transferring its energy into daughter waves or sidebands at (omega(1)n omega(2),k(1)+nk(2)) in the lab frame. The accuracy of the model is
checked via particle-in-cell simulations, which confirm that the energ
y in the mode at (omega(1),k(1)) can be completely transferred to the
sidebands at (omega(1)+n omega(2),k(1)+nk(2)) by the presence of the e
lectron plasma mode at (omega(2),k(2)). Conclusive experimental eviden
ce for the generation of daughter waves via this coupling is then pres
ented using time- and wave number-resolved spectra of the light from a
probe laser coherently Thomson scattered by the electron plasma waves
generated by the interaction of a two-frequency CO2 laser with a plas
ma. (C) 1996 American Institute of Physics.