Properties of polaritons in nonlinear dielectric medium

Abstract

We obtain theoretically the phonon-polariton spectrum in nonlinear dielectric medium with the third order Kerr-type nonlinearity and demonstrate that the appearance of new branches located in the polariton spectrum gaps. The modulation instability of new spectrum branch waves leads to the appearance of the cnoidal waves or solitons. We theoretically investigate the properties of vector and scalar phonon-polariton cnoidal waves and spatial solitons propagating in boundless dielectric medium.