Astronomy & Astrophysics

All Figures

$\begin{figure} \par\includegraphics[width=7.4cm,clip]{3693.f1.eps}\end{figure}$ Figure 1: I( $\mu$ )/I(1) as a function of $\mu$ for $\log g=4.0$ , $T_{\rm eff}=7250$ K, for u,v,b,y bands and a CGM model atmosphere.
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In the text

$\begin{figure} \par\includegraphics[width=7.1cm,clip]{3693.f2.eps} \end{figure}$ Figure 2: F/I(1) as a function of $T_{\rm eff}$ for log g=4.0, for u,v,b,y bands and for CGM model atmospheres.
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In the text

$\begin{figure} \par\includegraphics[width=7.9cm,clip]{3693.f3_1.eps}\vspace*{2mm... ...eps}\vspace*{2mm} \includegraphics[width=7.7cm,clip]{3693.f3_3.eps} \end{figure}$ Figure 3: The quadratic coefficients, a and b, the cubic coefficients, c, d and e, and the square root coefficients, f and g, as a function of temperature, for log g=4.0, for uvby bands and for CGM models.
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In the text

$\begin{figure} \par\includegraphics[width=7.8cm,clip]{3693.f4.eps}\end{figure}$ Figure 4: $\sigma$ as a function of temperature for $\log g=4.0$ , for the uvby bands and for CGM models. + correspond to the quadratic law (Q), * to the cubic law (C), and $\diamond$ to the square root law (SR).
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In the text

$\begin{figure} \par\includegraphics[width=7.6cm,clip]{3693.f5.eps} \end{figure}$ Figure 5: $\Delta I \equiv I( \mu )/I(1)$ - $I(\mu )/I(1)_{\rm law}$ as a function of $\mu$ for $T_{\rm eff}=7250~$ K and $\log g=4.0$ , for the uvby bands and for CGM models. + corresponds to the quadratic law, * to the cubic law, and $\diamond$ to the square root law.
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In the text

$\begin{figure} \par\includegraphics[width=7.7cm,clip]{3693.f6.eps} \end{figure}$ Figure 6: For u and v bands and for CGM models; top: weighted limb darkening integrals $b_{\ell =3}$ (the square root law was used for u, and the cubic law for v); middle: partial derivatives of $b_{\ell =3}$ with respect to $\log T_{\rm eff}$ ; bottom: partial derivatives of $b_{\ell =3}$ with respect to $\log g$ .
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In the text

$\begin{figure} \par\includegraphics[width=8.7cm,clip]{3693.f7.eps}\end{figure}$ Figure 7: For u band and for CGM models: ${b_\ell }$ (top panel) and its derivatives with respect to $\log T_{\rm eff}$ (middle) and $\log g$ (bottom) as a function of $T_{\rm eff}$ (left side) for $\log g=3.0$ and as a function of $\log g$ for $T_{\rm eff}=7500$ K (right side), for several ${\ell }$ values ( $\ell =7$ and $\ell =10$ would be close to $\ell =9$ ).
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In the text

$\begin{figure} \par\includegraphics[width=7.7cm,clip]{3693.f8.eps}\end{figure}$ Figure 8: For the v band and for CGM models: derivatives of ${b_\ell }$ with respect to $\log T_{\rm eff}$ (top) and $\log g$ (bottom) as a function of $T_{\rm eff}$ (left side) for $\log g=3.0$ and as a function of $\log g$ for $T_{\rm eff}=7500$ K (right side) for several ${\ell }$ values ( $\ell =7$ and $\ell =10$ would be close to $\ell =9$ ).
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In the text

$\begin{figure} \par\includegraphics[width=7.7cm,clip]{3693.f9_1.eps}\vspace*{2mm... ...eps}\vspace*{2mm} \includegraphics[width=7.7cm,clip]{3693.f9_3.eps} \end{figure}$ Figure 9: Typical examples of f, d, and g as a function of $T_{\rm eff}$ for a given photometric band for a given value of $\log g$ and for three different convection options (MLT $\alpha =0.5$ , MLT $\alpha =1.25$ and CGM).
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In the text

$\begin{figure} \par\includegraphics[width=7.5cm,clip]{3693.f10.eps}\end{figure}$ Figure 10: For u (top) and v (bottom) bands and for $\log g=3.5$ , differences between ${b_\ell }$ computed from CGM model atmospheres and ${b_\ell }$ computed from MLT $\alpha =1.25$ model atmospheres (left) and the difference between ${b_\ell }$ computed from CGM model atmospheres and ${b_\ell }$ computed from MLT $\alpha =0.5$ model atmospheres (right), as a function of the $T_{\rm eff}$ for several ${\ell }$ values.
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In the text

$\begin{figure} \par\includegraphics[width=4.3cm,height=4.6cm,clip]{3693.f11_1.ep... ...ps}\includegraphics[width=4.3cm,height=4.6cm,clip]{3693.f11_4.eps} \end{figure}$ Figure 11: Quadratic coefficients, a and b, and square root coefficients, f and g, from Claret (2000) (left panels) and from this work (right panels), as a function of temperature, for $\log g=3.5$ , for uvby bands.
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In the text

$\begin{figure} \par\includegraphics[width=7cm,clip]{3693.f12_1.eps}\par\includegraphics[width=7cm,clip]{3693.f12_2.eps} \end{figure}$ Figure 12: $\Delta I \equiv \vert I(\mu )/I(1)$ - $I(\mu )/I(1)_{\rm law}\vert$ for a square root law using LDC from this work (dotted line) and LDC from Claret (2000) (dashed line) for the u band, $\log g=3.5$ , for $T_{\rm eff}=6500~$ K (top) and for $T_{\rm eff}=8000~$ K (note the difference of vertical scale between the two, upper and lower, plots).
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In the text

$\begin{figure} \par\includegraphics[width=7.4cm,clip]{3693.f1.eps}\end{figure}$	Figure 1: I( $\mu$ )/I(1) as a function of $\mu$ for $\log g=4.0$ , $T_{\rm eff}=7250$ K, for u,v,b,y bands and a CGM model atmosphere.
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$\begin{figure} \par\includegraphics[width=7.1cm,clip]{3693.f2.eps} \end{figure}$	Figure 2: F/I(1) as a function of $T_{\rm eff}$ for log g=4.0, for u,v,b,y bands and for CGM model atmospheres.
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$\begin{figure} \par\includegraphics[width=7.9cm,clip]{3693.f3_1.eps}\vspace{2mm... ...eps}\vspace{2mm} \includegraphics[width=7.7cm,clip]{3693.f3_3.eps} \end{figure}$	Figure 3: The quadratic coefficients, a and b, the cubic coefficients, c, d and e, and the square root coefficients, f and g, as a function of temperature, for log g=4.0, for uvby bands and for CGM models.
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$\begin{figure} \par\includegraphics[width=7.8cm,clip]{3693.f4.eps}\end{figure}$	Figure 4: $\sigma$ as a function of temperature for $\log g=4.0$ , for the uvby bands and for CGM models. + correspond to the quadratic law (Q), * to the cubic law (C), and $\diamond$ to the square root law (SR).
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$\begin{figure} \par\includegraphics[width=7.6cm,clip]{3693.f5.eps} \end{figure}$	Figure 5: $\Delta I \equiv I( \mu )/I(1)$ - $I(\mu )/I(1)_{\rm law}$ as a function of $\mu$ for $T_{\rm eff}=7250~$ K and $\log g=4.0$ , for the uvby bands and for CGM models. + corresponds to the quadratic law, * to the cubic law, and $\diamond$ to the square root law.
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$\begin{figure} \par\includegraphics[width=7.7cm,clip]{3693.f6.eps} \end{figure}$	Figure 6: For u and v bands and for CGM models; top: weighted limb darkening integrals $b_{\ell =3}$ (the square root law was used for u, and the cubic law for v); middle: partial derivatives of $b_{\ell =3}$ with respect to $\log T_{\rm eff}$ ; bottom: partial derivatives of $b_{\ell =3}$ with respect to $\log g$ .
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$\begin{figure} \par\includegraphics[width=8.7cm,clip]{3693.f7.eps}\end{figure}$	Figure 7: For u band and for CGM models: ${b_\ell }$ (top panel) and its derivatives with respect to $\log T_{\rm eff}$ (middle) and $\log g$ (bottom) as a function of $T_{\rm eff}$ (left side) for $\log g=3.0$ and as a function of $\log g$ for $T_{\rm eff}=7500$ K (right side), for several ${\ell }$ values ( $\ell =7$ and $\ell =10$ would be close to $\ell =9$ ).
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$\begin{figure} \par\includegraphics[width=7.7cm,clip]{3693.f8.eps}\end{figure}$	Figure 8: For the v band and for CGM models: derivatives of ${b_\ell }$ with respect to $\log T_{\rm eff}$ (top) and $\log g$ (bottom) as a function of $T_{\rm eff}$ (left side) for $\log g=3.0$ and as a function of $\log g$ for $T_{\rm eff}=7500$ K (right side) for several ${\ell }$ values ( $\ell =7$ and $\ell =10$ would be close to $\ell =9$ ).
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$\begin{figure} \par\includegraphics[width=7.7cm,clip]{3693.f9_1.eps}\vspace{2mm... ...eps}\vspace{2mm} \includegraphics[width=7.7cm,clip]{3693.f9_3.eps} \end{figure}$	Figure 9: Typical examples of f, d, and g as a function of $T_{\rm eff}$ for a given photometric band for a given value of $\log g$ and for three different convection options (MLT $\alpha =0.5$ , MLT $\alpha =1.25$ and CGM).
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$\begin{figure} \par\includegraphics[width=4.3cm,height=4.6cm,clip]{3693.f11_1.ep... ...ps}\includegraphics[width=4.3cm,height=4.6cm,clip]{3693.f11_4.eps} \end{figure}$	Figure 11: Quadratic coefficients, a and b, and square root coefficients, f and g, from Claret (2000) (left panels) and from this work (right panels), as a function of temperature, for $\log g=3.5$ , for uvby bands.
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$\begin{figure} \par\includegraphics[width=7cm,clip]{3693.f12_1.eps}\par\includegraphics[width=7cm,clip]{3693.f12_2.eps} \end{figure}$	Figure 12: $\Delta I \equiv \vert I(\mu )/I(1)$ - $I(\mu )/I(1)_{\rm law}\vert$ for a square root law using LDC from this work (dotted line) and LDC from Claret (2000) (dashed line) for the u band, $\log g=3.5$ , for $T_{\rm eff}=6500~$ K (top) and for $T_{\rm eff}=8000~$ K (note the difference of vertical scale between the two, upper and lower, plots).
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