Figure 1
(a) Step-length distribution (green, solid line), in logarithmic scale on both axes, estimated numerically from Eqs. (
4,
5,
6,
7,
8), for Gaussian emission and absorption profiles. It is approximated by its asymptotic equivalent given by Eq. (
9) (purple, dashed line) and by a power law
(gray, solid line). The blue, solid line shows the local slope of the step-length distribution, which gives the coefficient
(right axis) of the power law
approaching the best the
distribution. The red frame represents the typical window of experimentally reachable parameters. (b) The same step-length distribution (green, solid line) in this experimentally reachable window and in linear scale. It is compared to a fit by an exponential law (blue, dashed line) and by a power law (red, dashed line) given by Eq. (
1) with
. We notice the good agreement between the power-law model and the numerically calculated distribution. (c) Evolution of the spectral profile of the light as a function of the distance
in the atomic vapor. Photons in the wings of the atomic line propagate over a longer distance than photons at the line center.
Reuse & Permissions