  We present JCMT SCUBA-2 $450\mu$m and $850\mu$m observations of 14 Asymptotic
Giant Branch (AGB) stars (9 O--rich, 4 C-rich and 1 S--type) and one Red
Supergiant (RSG) in the Solar Neighbourhood. We combine these observations with
\emph{Herschel}/PACS observations at $70\mu$m and $160\mu$m and obtain
azimuthally-averaged surface-brightness profiles and their PSF subtracted
residuals. The extent of the SCUBA-2 850 $\mu$m emission ranges from 0.01 to
0.16 pc with an average of $\sim40\%$ of the total flux being emitted from the
extended component. By fitting a modified black-body to the four-point SED at
each point along the radial profile we derive the temperature ($T$), spectral
index of dust emissivity ($\beta$) and dust column density ($\Sigma$) as a
function of radius. For all the sources, the density profile deviates
significantly from what is expected for a constant mass-loss rate, showing that
all the sources have undergone variations in mass-loss during this evolutionary
phase. In combination with results from CO line emission, we determined the
dust-to-gas mass ratio for all the sources in our sample. We find that, when
sources are grouped according to their chemistry, the resulting average
dust-to-gas ratios are consistent with the respective canonical values. However
we see a range of values with significant scatter which indicate the importance
of including spatial information when deriving these numbers.
