Abstract
The strong permittivity fluctuation theory was employed to determine the effective linear relative permittivity and the effective nonlinear susceptibility of a two-phase, isotropic, nonlinear, particulate composite medium. Propagation in the homogenized composite medium obeys the complex Ginzburg–Landau equation, and therefore the medium can support the propagation of chirped solitons that are either Pereira–Stenflo (PS) bright solitons or Nozaki–Bekki (NB) dark solitons, when linear loss is counterbalanced by nonlinear gain. Soliton propagation depends on the volume fraction of the component phases as well as on the correlation length of the spatial fluctuation of the dielectric properties in the composite medium.
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