Hourglass Magnetic Field from a Survey of Current Density Profiles
  Modelling the magnetic field in prestellar cores can serve as a useful tool
for studying the initial conditions of star formation. The analytic hourglass
model of Ewertowski and Basu (2013) provides a means to fit observed
polarimetry measurements and extract useful information. The original model
does not specify any radial distribution of the electric current density. Here,
we perform a survey of possible centrally-peaked radial distributions of the
current density, and numerically derive the full hourglass patterns. Since the
vertical distribution is also specified in the original model, we can study the
effect of different ratios of vertical to radial scale length on the overall
hourglass pattern. Different values of this ratio may correspond to different
formation scenarios for prestellar cores. We demonstrate the flexibility of our
model and how it can be applied to a variety of magnetic field patterns.
