Abstract:
A perturbation theory developed on the basis of the inverse scattering
method is used to investigate the influence of transverse relaxation
on a soliton of self-induced transparency in condensed media in the
case of inhomogeneous broadening of the spectral line. It is shown
that relaxation gives rise to excitation of a continuous spectrum of
the scattering data of the auxiliary spectral problem and that this
phenomenon leads to a change in the parameters of the nonlinear wave.
Asymptotic expressions for the complex amplitude and energy and
momentum of the extraordinary wave are determined. The parameters of
a nonlinear wave propagating in a ruby crystal are calculated.