We demonstrate nondegenerate coherent control of the cavity-polariton modes
of a quantum-well semiconductor microcavity. Coherent excitation and de-ex
citation of one normal mode using a pair of phase-locked optical pulses giv
es rise to a nonlinear response on the other normal mode due to the nonline
arity of the exciton transition underlying the normal modes. The cavity enh
ancement of the excitonic nonlinearity gives rise to a large signal; modula
ting the relative phase of the excitation pulses between zero and pi produc
es a differential reflectivity (Delta R/R) of up to 15%. Coherent control i
s used to measure the polariton dephasing time as a function of density. Ex
citation induced dephasing is shown to be the factor limiting the degree of
coherent control.