Table 5: Parameters adjusted for modelling (see Sect. 3.2). $T_\star $: stellar temperature; $R_\star $: stellar radius; $r_{\rm i}, r_{\rm o}$: inner respectively outer radius of dust shell; $\tau _{11}$: optical depth of shell at $11~{\rm\mu m}$. In all cases, an accelerated dust density profile was used.
Object $T_\star $ $R_\star $ $r_{\rm i}/R_\star$ $r_{\rm o}/R_\star$ $\tau _{11}$
  (K) (mas)      
$\alpha $ Ori 3640 21.8 45.9 48.2 0.0065
SW Vir 2800 8.65 15.0 1000.0 0.045
R Leo 2500 14.9 3.5 140.0 0.1


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