  We investigate intersubband polaritons formed in the asymmetric quantum well
(AQW) embedded into the semiconductor microcavity and study the effects of
spin-orbit interaction (SOI) acting on intersubband excitations. The spin-orbit
interaction of Rashba and Dresselhaus type remove the spin degeneracy of
electrons with finite value of in-plane momentum and allow four types of
intersubband excitations. While optical spin-flip transitions are suppressed,
the spectrum of elementary excitations shows the appearance of upper, lower and
middle polaritonic branches based on spin-conserving transitions. The
accounting of finite photon momentum leads to non-zero average spin projection
of electronic ensemble in the first excited subband under cw excitation for
both isotropic (Rashba) and anisotropic (Rashba and Dresselhaus) SOI. We
predict the possibility of spin current generation in the considered systems
with long coherence length.
