FIGURE 3.

${\mathrm{\Psi }}_{\mathit{lin}}(x)/s$ for $\omega =1$ (upper three curves) and $\omega =0$ (lower three curves, magnified in the inset), with $r_0=0$ (black), $r_0=r_c$ (red), and $r_0=2r_c$ (blue). All curves are calculated for $z=6$ . The black curves $(r_0=0)$ are single exponentials according to Equation 24 with a decay length $l$ for $\omega =0$ and $4.5\times l$ for $\omega =1$ . The red curves $(r_0=r_c)$ are specified by Equation 25. The blue curves, which follow Equation 26, exhibit exponentially decaying oscillations.