We theoretically investigate the properties of vector and scalar phonon–polariton cnoidal waves and spatial solitons propagating in a boundless dielectric medium. We obtain analytically the expressions for the envelopes of linearly and circularly polarized nonlinear polariton waves in self-focusing and self-defocusing media. The expressions of spatial solitons and cnoidal waves describe one and several flat flows of polaritons for the linearly polarized wave, respectively. The equation for a right or left circularly polarized polariton scalar wave has a soliton solution and a cnoidal wave solution. The polariton vector wave with right and left polariton spiralities has an analytical solution too. Also we examine the linearly and circularly polarized polariton wave instability in the nonlinear dielectric medium.
© 2013 Optical Society of America
Original Manuscript: November 27, 2012
Revised Manuscript: February 3, 2013
Manuscript Accepted: February 10, 2013
Published: March 12, 2013
Igor V. Dzedolik and Olga Karakchieva, "Nonlinear vector and scalar polariton waves in dielectric medium," J. Opt. Soc. Am. B 30, 843-850 (2013)