Adiabatic shape preservation and solitary waves in a five-level atomic medium

Adiabatically shape-preserving-wave and solitary-wave solutions for five-level atomic systems are presented. They give the idealized situations for the shape preserving propagation of optical waves through a five-level atomic medium, and provide some useful comparisons with the electromagnetically induced transparency experiments performed by Harris and his collaborators on atoms with hyperfine structure.

Figure 1

Five-level system.

Figure 2

$f\left(x\right)$ (solid) and $g\left(x\right)$ (dash) for $\Omega =C=1$.

Figure 3

$f\left(x\right)$ (solid) and $g\left(x\right)$ for $\Omega =1$, $C=1∕2$.

Figure 4

$\mathrm{sech}\left(x\right)$ (solid) and $\tanh \left(x\right)$ (dash).