Angle-resolved measurements show unexpected emission resonances of the pola
ritons in a semiconductor microcavity. These resonances appear when more th
an one in-plane polariton mode is macroscopically occupied. The new resonan
ces observed in angle-resolved luminescence do not lie on the expected pola
riton branches and possess different dispersion relations with negative eff
ective mass. The experimental results can be well explained using an intera
cting polariton model that treats multiple scattering. The k dispersion of
the luminescence resonances is reproduced using the Bogolubov approximation
that deals with the macroscopic coherence of the signal, pump, and idler m
odes. This model also explains many puzzling features such as the stimulati
on of resonant Rayleigh scattering in the backward direction. In addition,
the use of nonresonant control beams for coherent control of the polaritons
is shown both experimentally and theoretically. The rich complexity of new
phenomena in optically excited semiconductor microcavities can be attribut
ed to the distinctive anti-Hermitian or anomalous coupling between polarito
ns.