All Figures

$\begin{figure} \par\includegraphics[width= 8cm,clip]{2493fig1.eps}\end{figure}$ Figure 1: Definition of $\theta$ and $\phi$ , the polar and azimuthal angles of the random magnetic field vector ${\mbox{\boldmath$\displaystyle\mathcal H$ }}$ , and of $\theta _{\rm o}$ and $\phi _{\rm o}$ , the corresponding angles for the mean magnetic field ${\mbox{\boldmath$\displaystyle\mathcal H$ }_{\rm o}}$ .
Open with DEXTER

In the text

$\begin{figure} \par\includegraphics[width= 7.7cm,clip]{2493fig2.eps}\end{figure}$ Figure 2: The H⁽ⁿ⁾ and F⁽ⁿ⁾ functions for several orders n. The damping parameter a = 0. The H⁽ⁿ⁾ are even functions when n is even and odd when n is odd. For the F⁽ⁿ⁾ it is the opposite.
Open with DEXTER

In the text

$\begin{figure} \par\includegraphics[width=7.7cm,clip]{2493fig3.eps}\end{figure}$ Figure 3: Weak mean field limit. Isotropic fluctuations. Absorption coefficients $\langle \varphi_{I}\rangle$ and $\langle \varphi_{V}\rangle$ for a longitudinal mean magnetic field are shown. Mean Zeeman shift $\Delta{\mathcal{H}}_{\rm o}=10^{-1}$ ; Voigt parameter a=0. The curve $\gamma_{\mathcal H}=0$ corresponds to a constant magnetic field equal to ${\mathcal H}_{\rm o}$ .
Open with DEXTER

In the text

$\begin{figure} \par\includegraphics[width= 8cm,clip]{2493fig4.eps}\end{figure}$ Figure 4: Strong mean field limit. Isotropic fluctuations. Absorption coefficients $\langle \varphi_{I}\rangle$ and $\langle \varphi_{V}\rangle$ for a longitudinal mean magnetic field ( $\theta _{\rm o}=0^\circ$ ) are shown. Mean Zeeman shift $\Delta {\mathcal{H}}_{\rm o}=3$ ; Voigt parameter a=0.The curve $\gamma_{\mathcal H}=0$ corresponds to a constant magnetic field equal to ${\mathcal H}_{\rm o}$ .
Open with DEXTER

In the text

$\begin{figure} \par\includegraphics[width= 8cm,clip]{2493fig5.eps}\end{figure}$ Figure 5: Strong mean field limit. Isotropic fluctuations. Mean values of $\langle \varphi_{I}\rangle$ and $\langle \varphi_{Q}\rangle$ for a transverse mean magnetic field ( $\theta _{\rm o}=90^\circ$ ). Same parameters as in Fig. 4 ( $\Delta {\mathcal{H}}_{\rm o}=3$ ; a=0).
Open with DEXTER

In the text

$\begin{figure} \par\includegraphics[width= 8cm,clip]{2493fig6.eps}\end{figure}$ Figure 6: Dependence of $\langle \varphi_{I}\rangle$ on the mean magnetic field intensity measured by the parameter $y_{\rm o}$ . Isotropic fluctuations. The parameters employed are: a=0, $\gamma_{\mathcal{H}}=1$ . The curves for $y_{\rm o} = 10^{-3}$ and 0.1 coincide. The panels a) and b) correspond to the longitudinal ( $\theta _{\rm o}=0^\circ$ ) and transverse ( $\theta _{\rm o}=90^\circ$ ) cases, respectively.
Open with DEXTER

In the text

$\begin{figure} \par\includegraphics[width= 8cm]{2493fig7.eps}\end{figure}$ Figure 7: Dependence of $\langle \varphi_{I}\rangle$ on the magnetic field dispersion measured by $\gamma_{\mathcal{H}}$ . Isotropic fluctuations. The parameters employed are : a=0, $\Delta {\mathcal{H}}_{\rm o}=2$ . The panels a) and b) correspond to longitudinal ( $\theta _{\rm o}=0^\circ$ ) and transverse ( $\theta _{\rm o}=90^\circ$ ) cases respectively. Notice the saturation of the central $\pi$ -component for $\gamma_{\mathcal{H}}>3$ .
Open with DEXTER

In the text

$\begin{figure} \par\includegraphics[width= 8cm,clip]{2493fig8.eps}\end{figure}$ Figure 8: Dependence of $\langle \varphi_{I}\rangle$ on the damping parameter a in the $\theta _{\rm o}=0^\circ$ case. Isotropic fluctuations. Panel a) shows the strong field case ( $\Delta {\mathcal{H}}_{\rm o}=3$ and $\gamma_{\mathcal{H}}=1.5$ ) and panel b) the weak field case ( $\Delta {\mathcal{H}}_{\rm o}=10^{-3}$ and $\gamma_{\mathcal{H}}=3$ ). For large values of a, the $\pi$ and $\sigma$ -components decrease in strength.
Open with DEXTER

In the text

$\begin{figure} \par\includegraphics[width= 7.8cm,clip]{2493fig9.eps}\end{figure}$ Figure 9: Dependence of $\langle \varphi_{I}\rangle$ on the Zeeman sensitivity (the Landé g factor) introduced through the $\gamma_{\mathcal{H}}$ parameter (see the text for details) Isotropic fluctuations. The parameters employed are a=0, and $y_{\rm o}=1$ . Notice the saturation of the $\pi$ -component at the line center. The panels a) and b) correspond to longitudinal ( $\theta _{\rm o}=0^\circ$ ) and transverse ( $\theta _{\rm o}=90^\circ$ ) cases respectively.
Open with DEXTER

In the text

$\begin{figure} \par\includegraphics[width= 7.7cm]{2493fig10.eps}\end{figure}$ Figure 10: Same as Fig. 9, but for $\langle \varphi_{Q}\rangle$ and $\langle \varphi_{V}\rangle$ . The panels a) and b) correspond to $\langle \varphi_{Q}\rangle/{\rm sin}^2~\theta_{\rm o}~{\rm cos}~2\phi_{\rm o}$ and $\langle \varphi_{V}\rangle/{\rm cos}~\theta_{\rm o}$ respectively.
Open with DEXTER

In the text

$\begin{figure} \par\includegraphics[width= 7.7cm,clip]{2493fig11.eps}\end{figure}$ Figure 11: Dependence of the magneto-optical coefficients $\langle \chi_{Q}\rangle$ and $\langle \chi_{V}\rangle$ on the Landé factor. Same model as Fig. 9. Notice the similarity between $\langle \chi_{Q}\rangle$ and $\langle \varphi_{V}\rangle$ as well as $\langle \chi_{V}\rangle$ and $\langle \varphi_{Q}\rangle$ .
Open with DEXTER

In the text

$\begin{figure} \par\includegraphics[width= 7.7cm,clip]{2493fig12.eps}\end{figure}$ Figure 12: Dependence of $\langle \varphi_{I}\rangle$ and $\langle \varphi_{V}\rangle$ on the magnetic field distribution in the weak mean field limit for the longitudinal Zeeman effect ( $\theta _{\rm o}=0^\circ$ ). The model parameters are a=0, $\Delta {\mathcal H}_{\rm o}=0.1$ and $\gamma_{\mathcal{H}}=1$ (hence $y_{\rm o}=0.1$ ). The curves with $\gamma_{\mathcal H}=0$ correspond to a constant magnetic field equal to ${\mbox{\boldmath$\displaystyle\mathcal H$ }_{\rm o}}$ .
Open with DEXTER

In the text

$\begin{figure} \par\includegraphics[width= 7.7cm,clip]{2493fig13.eps}\end{figure}$ Figure 13: Dependence of $\langle \varphi_{I}\rangle$ on the magnetic field distribution. The model parameters are a=0, $\Delta{\mathcal{H}}_{\rm o}=1$ , $\gamma_{\mathcal{H}}=1$ (hence $y_{\rm o}=1$ ). The curves with $\gamma_{\mathcal H}=0$ correspond to a constant magnetic field equal to ${\mbox{\boldmath$\displaystyle\mathcal H$ }_{\rm o}}$ . Panels a) and b) correspond to longitudinal ( $\theta _{\rm o}=0^\circ$ ) and tranverse ( $\theta _{\rm o}=90^\circ$ ) cases, respectively.
Open with DEXTER

In the text

$\begin{figure} \par\includegraphics[width= 7.8cm,clip]{2493fig14.eps}\end{figure}$ Figure 14: Dependence of $\langle \varphi_{Q}\rangle$ and $\langle \varphi_{V}\rangle$ on the magnetic field distribution. Same model parameters as in Fig. 13. Panels a) and b) correspond to transverse ( $\theta _{\rm o}=90^\circ$ ) and longitudinal ( $\theta _{\rm o}=0^\circ$ ) cases, respectively.
Open with DEXTER

In the text

$\begin{figure} \par\includegraphics[width= 7.8cm]{2493fig15.eps}\end{figure}$ Figure 15: Dependence of $\langle \varphi_{I}\rangle$ on the magnetic field distribution. The model parameters are a=0, $\Delta {\mathcal{H}}_{\rm o}=2$ , $\gamma_{\mathcal H}=2$ (hence $y_{\rm o}=1$ ). The curves with $\gamma_{\mathcal H}=0$ correspond to a constant magnetic field equal to ${\mbox{\boldmath$\displaystyle\mathcal H$ }_{\rm o}}$ . Panels a) and b) correspond to longitudinal ( $\theta _{\rm o}=0^\circ$ ) and tranverse ( $\theta _{\rm o}=90^\circ$ ) cases, respectively.
Open with DEXTER

In the text

$\begin{figure} \par\includegraphics[width= 8cm,clip]{2493fig1.eps}\end{figure}$	Figure 1: Definition of $\theta$ and $\phi$ , the polar and azimuthal angles of the random magnetic field vector ${\mbox{\boldmath$\displaystyle\mathcal H$ }}$ , and of $\theta _{\rm o}$ and $\phi _{\rm o}$ , the corresponding angles for the mean magnetic field ${\mbox{\boldmath$\displaystyle\mathcal H$ }_{\rm o}}$ .
Open with DEXTER

$\begin{figure} \par\includegraphics[width= 7.7cm,clip]{2493fig2.eps}\end{figure}$	Figure 2: The H⁽ⁿ⁾ and F⁽ⁿ⁾ functions for several orders n. The damping parameter a = 0. The H⁽ⁿ⁾ are even functions when n is even and odd when n is odd. For the F⁽ⁿ⁾ it is the opposite.
Open with DEXTER

$\begin{figure} \par\includegraphics[width=7.7cm,clip]{2493fig3.eps}\end{figure}$	Figure 3: Weak mean field limit. Isotropic fluctuations. Absorption coefficients $\langle \varphi_{I}\rangle$ and $\langle \varphi_{V}\rangle$ for a longitudinal mean magnetic field are shown. Mean Zeeman shift $\Delta{\mathcal{H}}_{\rm o}=10^{-1}$ ; Voigt parameter a=0. The curve $\gamma_{\mathcal H}=0$ corresponds to a constant magnetic field equal to ${\mathcal H}_{\rm o}$ .
Open with DEXTER

$\begin{figure} \par\includegraphics[width= 8cm,clip]{2493fig5.eps}\end{figure}$	Figure 5: Strong mean field limit. Isotropic fluctuations. Mean values of $\langle \varphi_{I}\rangle$ and $\langle \varphi_{Q}\rangle$ for a transverse mean magnetic field ( $\theta _{\rm o}=90^\circ$ ). Same parameters as in Fig. 4 ( $\Delta {\mathcal{H}}_{\rm o}=3$ ; a=0).
Open with DEXTER

$\begin{figure} \par\includegraphics[width= 7.7cm]{2493fig10.eps}\end{figure}$	Figure 10: Same as Fig. 9, but for $\langle \varphi_{Q}\rangle$ and $\langle \varphi_{V}\rangle$ . The panels a) and b) correspond to $\langle \varphi_{Q}\rangle/{\rm sin}^2~\theta_{\rm o}~{\rm cos}~2\phi_{\rm o}$ and $\langle \varphi_{V}\rangle/{\rm cos}~\theta_{\rm o}$ respectively.
Open with DEXTER

$\begin{figure} \par\includegraphics[width= 7.7cm,clip]{2493fig11.eps}\end{figure}$	Figure 11: Dependence of the magneto-optical coefficients $\langle \chi_{Q}\rangle$ and $\langle \chi_{V}\rangle$ on the Landé factor. Same model as Fig. 9. Notice the similarity between $\langle \chi_{Q}\rangle$ and $\langle \varphi_{V}\rangle$ as well as $\langle \chi_{V}\rangle$ and $\langle \varphi_{Q}\rangle$ .
Open with DEXTER

$\begin{figure} \par\includegraphics[width= 7.8cm,clip]{2493fig14.eps}\end{figure}$	Figure 14: Dependence of $\langle \varphi_{Q}\rangle$ and $\langle \varphi_{V}\rangle$ on the magnetic field distribution. Same model parameters as in Fig. 13. Panels a) and b) correspond to transverse ( $\theta _{\rm o}=90^\circ$ ) and longitudinal ( $\theta _{\rm o}=0^\circ$ ) cases, respectively.
Open with DEXTER