  High dynamic range imaging of submillimeter dust emission from the envelopes
of eight young protostars in the Taurus and Perseus star-forming regions has
been carried out using the SCUBA submillimeter camera on the James Clerk
Maxwell Telescope. Good correspondence between the spectral classifications of
the protostars and the spatial distributions of their dust emission is
observed, in the sense that those with cooler spectral energy distributions
also have a larger fraction of the submillimeter flux originating in an
extended envelope compared with a disk. This results from the cool sources
having more massive envelopes rather than warm sources having larger disks.
Azimuthally-averaged radial profiles of the dust emission are used to derive
the power-law index of the envelope density distributions, p (defined by rho
proportional to r^-p), and most of the sources are found to have values of p
consistent with those predicted by models of cloud collapse. However, the
youngest protostars in our sample, L1527 and HH211-mm, deviate significantly
from the theoretical predictions, exhibiting values of p somewhat lower than
can be accounted for by existing models. For L1527 heating of the envelope by
shocks where the outflow impinges on the surrounding medium may explain our
result. For HH211-mm another explanation is needed, and one possibility is that
a shallow density profile is being maintained in the outer envelope by magnetic
fields and/or turbulence. If this is the case star formation must be determined
by the rate at which the support is lost from the cloud, rather than the
hydrodynamical properties of the envelope, such as the sound speed.
