We study nonlinear intersubband plasmon polaritons in a quantum-well s
tructure. Using a microscopic local-field formalism, the dispersion re
lation of the nonlinear plasmon polaritons in a single quantum well is
derived. For a two-level GaAs/AlGaAs quantum well, the dispersion rel
ation is solved numerically. The numerical results show the strong int
ensity dependence of the mode index appearing at the guided power of s
imilar to mW/mm for the photon energy somewhat above the intersubband
splitting. When the guided energy becomes larger, the power dependence
of the wave vector of the plasmon wave exhibits saturation behaviour.