Interaction of fast and slow varying electromagnetic waves propagating in paraelectric or ferroelectric material

Abstract

Once, a referee asked how one can write an oscillator model for a ferroelectric and the total Maxwell equation for a rapidly varying electric field. From what is known about polarization, it is a slow function of time and coordinates, but the optical wave is a fast function. However, there are examples for the interaction of high frequency and low frequency waves in nonlinear wave theory. This means that similar equations can be written for ferroelectric polarization and electromagnetic waves.

Three-dimensional light bullets in heterogeneous medium of carbon nanotubes with metallic conductivity

“…Note that light bullets are not stable and spreading in vacuum or linear media due to dispersion impact. For stable propagation of such pulses, the nonlinear medium in which the effects associated with dispersion could be offset by the nonlinear effects is required [4][5][6][7]. From this point of view, CNTs are promising media for the three-dimensional few-cycle optical pulse propagation, since in CNTs, the nonlinearity is determined by nonparabolicity of the electron dispersion law which interact with the light pulse field [8][9][10].…”