Nonlinear vector and scalar polariton waves in dielectric medium

Abstract

We theoretically investigate the properties of phonon-polariton inhomogeneous harmonic wave, cnoidal wave and spatial soliton propagating in boundless dielectric medium and compute the shape of nonlinear vector polariton wave. We obtain analytically the envelopes of linearly polarized nonlinear polariton waves in the self-focusing and self-defocusing media.

Control of polariton spectrum in bigyrotropic medium

“…The high-frequency electromagnetic field and external magnetostatic field influence the medium properties. In the macroscopic model, the dipole response of the cubic system crystal can be described by the equations of ion motion and outer shell electron motion [13,16]. The equation of ion motion in a unit cell of the crystal lattice looks like…”

“…It was caused by investigations of the electromagnetic wave generation, propagation, transformation, and their instability in the active and passive media [14][15][16][17]. The external magnetostatic field superposed to the bigyrotropic medium changes both the permittivity and permeability that influences the polariton spectrum and polariton wave velocity.…”

Surface plasmon-polariton solitons and cnoidal waves at the boundary of dielectric crystal and metal

“…One can increase the propagation lengths and improve the preservation of the shape of plasmonic pulses by using some nonlinear effects which occur at the boundary of the dielectric substrate and the metal waveguide [4][5][6]. Both the electromagnetic wave and the pulse change the types of modes, pulse envelope and polarization propagating along the boundary of the dielectric medium and the metal under the influence of the Kerr-type nonlinearity of the medium and perturbations due to the inhomogeneous nature of the medium [7][8][9][10][11][12][13][14][15][16]. There are nonlinear effects that screw up the pulse envelope and reduce the propagation length.…”

“…Thus, the lengths of propagation of the SPP pulses increase, because the solitons keep their forms at the propagation. In the case of non-exact synchronism, the pulses on the first and second harmonics take the forms of cnoidal waves (nonlinear periodic waves) [10]. The cnoidal waves arise not only in a medium with cubic nonlinearity, but also in the medium with quadratic nonlinearity.…”